Advanced_Valuation_Flashcards

(308 cards)

1
Q

What is the fundamental formula for business value?

A

Value = Income ÷ Risk

The formula is simple, but the variables are difficult to determine. The most important principle is that not all risk rates can be appropriately applied to all income streams.

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2
Q

What are the two core determinations that drive virtually every process in business valuation?

A
  1. An appropriate income stream (economic benefit stream)
  2. The associated risk rate (discount or capitalization rate)

Nearly every method, process, and discussion in business valuation ties back to one or both of these determinations.

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3
Q

What is the intended outcome of Business Certified Appraiser (BCA) training?

A

To be able to:
1. Read and explain a business valuation report to another party
2. Write a business valuation report independently

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4
Q

Name and describe the three methods of accounting and their significance in business valuation.

A
  1. Accrual Method – Recognizes revenues when earned and expenses when incurred. Financial statements prepared on an accrual basis are the best indicator of a business’s operating performance.
  2. Cash Method – Records amounts only when actual cash transfers occur.
  3. Modified Cash Accounting – A hybrid approach that falls between accrual and cash method.
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5
Q

Why are historic recorded costs (FF&E, A/R, etc.) generally not a true reflection of value in business appraisal?

A

Historic recorded costs represent book values based on original purchase price less accumulated depreciation. They do not reflect current economic market values. The appraiser must adjust these figures to fair market value to properly assess what the business is worth.

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6
Q

What are the two types of benefit streams an appraiser values in business valuation?

A
  1. Equity Benefit Stream – Cash flows available to pay out to equity holders (shareholders) after funding operations, capital investments, and changes in debt financing.
  2. Invested Capital Benefit Stream – Cash flows available to pay out to both equity holders and debt holders after funding operations and capital investments.
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7
Q

List the components of the Equity Net Cash Flow (NCF) formula.

A

Starting point: Net Income (After Taxes)
+ Non-cash charges (depreciation, amortization)
− Capital Expenditures
+/− Incremental Changes in BV-Working Capital
+/− Notes Payable / Principal (new borrowings added; repayments subtracted)
= Equity Net Cash Flows

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8
Q

List the components of the Invested Capital Net Cash Flow formula.

A

Starting point: Net Income (After Taxes)
+ Non-cash charges (depreciation, amortization)
− Capital Expenditures (Cap X)
+/− Incremental Changes in BV-Working Capital
+ Interest Expense × (1 − Tax Rate)
= Invested Capital Net Cash Flows

Note: The first four items are identical to the Equity NCF formula.

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9
Q

What is the key difference between Equity NCF and Invested Capital NCF?

A

Equity NCF accounts for actual debt cash flows (new loan proceeds added, principal repayments subtracted).

Invested Capital NCF does not consider interest-bearing debt cash flows directly; instead, it adds back interest expense net of the income tax consequence. The proper discount rate for Invested Capital NCF is the WACC.

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10
Q

What are the special ‘watch out’ items when calculating Equity Net Cash Flows?

A
  1. Large amounts of capital expenditures (CapX)
  2. Calculating the correct amount of BV-Working Capital
  3. Large amounts of first-time loans
  4. LIFO inventory adjustments (correct balance sheet and income statement beginning/ending in COGS)
  5. Smoothing out depreciation over useful lives
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11
Q

What are the special ‘watch out’ items when calculating Invested Capital Net Cash Flows?

A
  1. Smoothing out depreciation over useful lives
  2. Large amounts of CapX
  3. Calculating the correct amount of BV-Working Capital
  4. LIFO inventory adjustments
  5. Adding back the proper amount of interest expense
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12
Q

How does business valuation define Working Capital (BV-WC), and why does it differ from the GAAP definition?

A

BV-WC = (Current Assets − Cash) − (Current Liabilities − Current Portion of Long-Term Debt)

This differs from GAAP (Current Assets − Current Liabilities) because:
• Net income is a proxy for cash—excluding cash prevents double-counting.
• Debt principal payments come from net income—excluding the current portion of LTD also prevents double-counting.

This definition follows Damodaran’s approach in Investment Valuation.

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13
Q

What does the word ‘incremental’ mean in the context of working capital for business valuation?

A

Incremental refers to the additional working capital required only to support the next increment of revenue growth—not the total working capital for the entire new revenue level.

Example: If a company grows from $2M to $2.5M in sales, the incremental working capital is only what is needed to generate the additional $500,000 in revenue, not the working capital required for all $2.5M.

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14
Q

What does capital expenditure (CapX) represent and why is a declining CapX trend concerning?

A

Capital expenditures are the cost of acquiring or replacing fixed assets (not repairs/maintenance).

A flattening or declining CapX trend may suggest management is artificially inflating earnings (reducing spending to boost profitability). A buyer may discover they need significant additional capital for fixed assets, increasing business risk and reducing working capital.

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15
Q

What is the difference between a discount rate and a capitalization rate?

A

Discount Rate – A rate of return used to convert a future income stream spanning multiple periods into a present value. Reflects the time value of money, inflation, and investment risk.

Capitalization Rate – A divisor applied to a single, ongoing/sustainable income stream to estimate present value. It is derived by subtracting the long-term growth rate from the discount rate:

Cap Rate = Discount Rate − Long-Term Growth Rate

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16
Q

What is the formula relationship between discount rate, capitalization rate, and growth rate?

A

Cap Rate = Discount Rate − Long-Term Growth Rate

Example:
Discount Rate: 25.0%
− Long-term Growth Rate: 5.0%
= Capitalization Rate: 20.0%

IMPORTANT: Do not use both the Discounted Future Earnings method AND the Capitalization of Earnings method in the same report—they produce the same answer and using both adds nothing of value.

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17
Q

What is the fundamental premise underlying the selection of a discount rate?

A

A fair rate of return required to attract investors.

The discount rate typically reflects:
1. The time value of money
2. Inflation
3. Risks associated with ownership of the specific business or business interest

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18
Q

Name the four commonly used models for developing discount and capitalization rates.

A
  1. Build-up Method
  2. Weighted Average Cost of Capital (WACC)
  3. Inverse of Market-Derived Valuation Multiples
  4. Factor Rating Model
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19
Q

Name the primary data sources used to develop discount and capitalization rates.

A
  1. Duff & Phelps Valuation Handbook
  2. Implied Private Company Pricing Line Model (IPCPL)
  3. Pepperdine Private Capital Markets Survey
  4. Transactional databases (IBA, BizComps, DoneDeals, DealStats, etc.)
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20
Q

What are the eight size measurements used in the Duff & Phelps Risk Premium Report?

A
  1. Market value of common equity
  2. Book value of common equity
  3. Five-year average net income
  4. Market value of invested capital
  5. Total assets
  6. Five-year average EBITDA
  7. Gross sales
  8. Number of employees

The report divides data into 25 portfolios—Portfolio 1 (largest companies) through Portfolio 25 (smallest companies)—using NYSE data from 1963 to the most recent period.

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21
Q

What is the Build-up Method for developing a cost of capital?

A

A model that develops a discount rate by adding individual risk components together. Each component compensates for a specific type of risk.

Used in two primary versions:
1. Duff & Phelps version
2. CRSP Decile Size Premia Study version

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22
Q

List the components of the Build-up Method using Duff & Phelps data.

A
  1. Risk-Free Rate (as of valuation date)
    + Equity Risk Premium (includes SIZE premium from D&P)
    + Equity Risk Premium Adjustment
    +/− Company-Specific Risk Premium
    = Equity Net Cash Flow Discount Rate

IMPORTANT: Duff & Phelps should NOT be used to estimate cost of equity for finance, insurance, or real estate companies.

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23
Q

List the components of the Build-up Method using the CRSP Decile Size Premia Study.

A
  1. Risk-Free Rate (as of valuation date)
    + Equity Risk Premium
    + Small Company Size Risk Premium
    +/− Industry Risk Premium (optional)
    +/− Company-Specific Risk Premium
    = Equity Net Cash Flow Discount Rate
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24
Q

What is the Risk-Free Rate and how is it typically measured?

A

The risk-free rate is the return available to investors on a low-risk, guaranteed investment generally considered free of default.

The financial community typically uses the yield to maturity of long-term U.S. Treasury bonds (specifically the 20-year Treasury bond yield) as a proxy, measured as of the valuation date.

Source: Federal Reserve Statistical Release

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25
What is the Equity Risk Premium in the Build-up Method?
The additional return that investors expect to earn for investing in equities (stocks) over and above the return from a risk-free investment. Under CRSP: Reflects excess returns on equity securities traded on major exchanges (NYSE, NASDAQ, AMEX) over risk-free returns. General consensus range: 3.5% to 6.0%
26
What is the Size Risk Premium in the CRSP Build-up Method?
An additional premium reflecting the higher risk inherent in smaller companies relative to larger companies. CRSP presents size risk premiums for each of the 10 Deciles of the public securities market. It represents excess returns required on smaller securities after adjusting for systematic risks captured in the beta adjustment—isolating size as the remaining risk factor.
27
Why is the Industry Risk Premium in the Build-up Method considered 'optional'?
Many appraisers believe the industry risk premium data—derived from public markets—is not directly applicable to small, privately held businesses due to the significant structural differences between public and private company markets. Many appraisers incorporate industry risk analysis into the Company-Specific Risk Premium instead.
28
What is the Company-Specific Risk Premium and what factors does it capture?
An additional risk premium reflecting unique characteristics of a privately owned business that differentiate it from publicly owned companies, including: • Management depth and quality • Key person dependency • Capital structure • Marketplace and competitive position • Availability of capital • Volatility of returns • Customer concentration • Economic and industry concerns This premium is an expression of the appraiser's judgment—no empirical database exists to measure it.
29
What is the Equity Risk Premium Adjustment in the Duff & Phelps Build-up Method?
An adjustment made to account for differences between the appraiser's selected forward-looking equity risk premium (typically 5%) and the equity risk premium calculated from historic data. Research shows the equity risk premium is cyclical during business cycles, falling in a general range of 3.5% to 6.0%.
30
What is the Weighted Average Cost of Capital (WACC) and when is it used?
WACC is a blended discount rate representing the combined cost of both debt and equity financing, weighted in proportion to their market values. WACC is used as the discount rate when valuing Invested Capital (as if debt-free). Formula: WACC = (Wd × Kd × (1 − Tax Rate)) + (We × Ke) Where: Wd = debt weight, Kd = cost of debt, We = equity weight, Ke = cost of equity
31
What are the components needed to calculate WACC?
1. Equity cost of capital (Ke) 2. Cost of debt (Kd) 3. Income tax rate 4. Equity capital structure percentage (We) 5. Debt capital structure percentage (Wd)
32
What are the three choices for selecting capital structure percentages in WACC?
1. Select capital structure from guideline market data (optimum market capital structure—used for controlling interest valuations) 2. Use the company's current capital structure at market value (requires an iterative process) 3. Use the company's current capital structure when parties to the transaction are known and not hypothetical (e.g., divorce or shareholder oppression litigation)
33
In a WACC calculation, when is it appropriate to use an iterative process for capital structure?
When using the company's current capital structure at market value as the basis for WACC. Since the equity market value is dependent on the WACC discount rate, and the WACC depends on the equity market value, the calculation must be iterated until the equity value used in the capital structure weights converges with the resulting indicated equity value.
34
How do you convert a Net Cash Flow capitalization rate to a Net Income capitalization rate?
Step 1: Convert the discount rate to a capitalization rate Step 2: Apply a conversion factor—the ratio of the company's normalized net cash flow to net income (or use an industry average as a proxy) Note: This conversion is valid only if net income and net cash flow maintain a constant relationship to each other over time and both grow at the same constant annual rate into perpetuity (rarely met in practice).
35
What is the general range observed for long-term sustainable growth rates, and how are they estimated?
Range: Typically 3.0% to 6.5% Estimation approach: Combine the GDP growth rate with the CPI inflation rate Key rule: High growth rates for short periods should NOT be used as a proxy for long-term sustainable growth rates. A long-term growth rate represents an average of expected future growth—some years may be higher or lower.
36
What factors must be considered when estimating an appropriate long-term sustainable growth rate?
1. Company's historical performance and outlook 2. Economic conditions 3. Industry conditions and outlook 4. Competition 5. Demographic and population growth 6. Product/service life cycle stage Sources: RMA, Integra, IBIS World, First Research Industry Profiles, The Livingston Survey (Federal Reserve)
37
Name the five common types of financial ratio measurements used in business valuation analysis.
1. Liquidity Ratios (Solvency Ratios) – Measure ability to meet short-term obligations (e.g., quick ratio, current ratio) 2. Activity Ratios (Turnover Ratios) – Measure efficiency of asset use (e.g., days accounts receivable, days accounts payable) 3. Leverage Ratios – Measure the degree of debt financing 4. Profitability Ratios – Measure earnings performance 5. Working Capital Measurements
38
What does the DuPont Formula reveal and what three elements does it analyze?
The DuPont Formula illustrates how a company generates its Return on Equity by examining three critical management dimensions: 1. Operating Management – Profitability from sales (net income margin) 2. Asset Management – Efficiency of asset use (total asset turnover) 3. Capital Structure Management – Financial leverage (use of debt) Conclusion: If all three are strong, Return on Equity will be high for sound business reasons.
39
What is Altman's Z-Score and what does it measure?
A quantitative risk analysis formula developed by Edward I. Altman (1968) that predicts the likelihood of a privately owned business entering bankruptcy within two years. Two versions: • Model A (Manufacturing): Uses 5 ratios; Z > 2.90 = financially healthy; Z < 1.10 = likely insolvent • Model B (Non-Manufacturing): Uses 4 ratios; Z > 2.60 = financially healthy; Z < 1.10 = likely insolvent Zone between 1.10 and 2.60/2.90 = potential financial trouble
40
List the five ratios in Altman's Z-Score Model A (Manufacturing).
1. Working Capital / Total Assets × 0.717 2. Retained Earnings / Total Assets × 0.847 3. Operating Income (EBIT) / Total Assets × 3.10 4. Net Worth / Total Liabilities × 0.420 5. Sales / Total Assets × 0.998 Z > 2.90 = Financially healthy Z < 1.10 = Likely insolvent
41
List the four ratios in Altman's Z-Score Model B (Non-Manufacturing).
1. Working Capital / Total Assets × 6.56 2. Retained Earnings / Total Assets × 3.26 3. Operating Income (EBIT) / Total Assets × 6.72 4. Net Worth / Total Liabilities × 1.05 Z > 2.60 = Financially healthy Z < 1.10 = Likely insolvent
42
What is the major drawback of using ratio-based formulas like Altman's Z-Score?
These ratios are based on historic accounting figures. Results can be meaningless in a fast-changing economy or industry because past financial data may not reliably predict current or future financial health.
43
What does SWOT analysis stand for and what is its purpose in business valuation?
SWOT = Strengths, Weaknesses, Opportunities, Threats Purpose: To understand a company's current position by analyzing: • Strengths – What the company does well • Weaknesses – Areas for improvement • Opportunities – Favorable external conditions to exploit • Threats – External changes that could harm the business Typically combines management's input with the appraiser's analysis and observations.
44
What is the AICPA definition of a Financial Forecast?
Prospective financial statements that present, to the best of the responsible party's knowledge and belief, an entity's expected financial position, results of operations, and cash flows. A forecast is based on the responsible party's assumptions reflecting the conditions it EXPECTS TO EXIST and the course of action it EXPECTS TO TAKE.
45
What is the AICPA definition of a Financial Projection, and how does it differ from a forecast?
Prospective financial statements that present, given one or more hypothetical assumptions, an entity's expected financial position, results of operations, and cash flows. Key difference: A projection is based on 'what if?' hypothetical assumptions that may NOT necessarily be expected to occur. A forecast is based on what IS expected to occur.
46
What are the basic steps to develop a meaningful financial forecast?
1. Determine the number of years to forecast (forecast until earnings stabilize at a constant, sustainable growth rate) 2. Develop a calculated perspective (narrative describing future performance based on industry, product life cycle, competition, demographics, etc.) 3. Select a forecasting model (e.g., Percentage Technique, Most Likely/Best/Worst Case, Fixed & Variable Cost, Historic Weighting, Probability Weighted Expected Earnings)
47
Name and briefly describe the five forecasting techniques covered in the textbook.
1. Percentage Technique – Projects income statement line items as a percentage of sales 2. Most Likely / Best Case / Worst Case – Shows three scenarios; best for start-ups and unsophisticated companies 3. Fixed & Variable Cost Technique – Separates fixed expenses from variable expenses tied to sales; considered the most appropriate model 4. Historic Weighting Technique – Applies subjective weights to historical years as confidence measures 5. Probability Weighted Expected Earnings – Weights multiple scenario outcomes by probability
48
Why is the Fixed and Variable Cost Technique considered the most appropriate forecasting model?
Most businesses have: • Fixed expenses that remain constant regardless of sales (e.g., lease obligations) • Variable expenses that change proportionally with sales This technique correctly reflects the actual cost structure of a business rather than assuming all costs move uniformly with sales, producing a more realistic and supportable forecast.
49
What is the recommended forecasting approach—demand-driven—and why?
A demand-driven forecast starts with a sales forecast and drives all other variable line items off that sales figure. This is preferred because: • Revenue is the primary driver of all operational costs • It creates internal consistency between income statement and balance sheet • It most closely mirrors how businesses actually operate
50
What questions should an appraiser answer to verify internal consistency of forecasted financial statements?
1. Are overall financial results consistent with the selected forecasted scenario? 2. Are forecasted financial ratios consistent with sales and earnings growth? If not, why? 3. Is the return on capital consistent with industry rates? 4. Does the company have sufficient borrowing capacity to support forecasted changes? 5. Are private capital funds available to support forecasted changes? 6. Does the forecast include necessary resources to manage the changes? 7. Does the balance sheet properly reflect changes in the income statement (cash, A/R, inventory, A/P, debt)?
51
What is the Compound Annual Growth Rate (CAGR) formula and what does it measure?
CAGR Formula: [(Last Value / First Value) ^ (1 / Number of Years)] − 1 CAGR uses only the FIRST and LAST figures in a series and ignores interim values. It represents the constant growth rate that would transform the first value into the last value over the given period. Used to measure growth (or decline) in sales, profitability, and other metrics.
52
According to Revenue Ruling 59-60, why must a business valuation be based on future expectations?
Rev. Rul. 59-60 (Section 3.02): 'Valuation of securities is, in essence, a prophecy as to the future and must be based on facts available at the required date of appraisal.' Key principle: Business buyers do not buy historical results—they buy what they expect the business to generate in future earnings. Historical data is used as a basis for forecasting, not as a substitute for it.
53
List the eight factors identified in Revenue Ruling 59-60 that require careful analysis in business valuation (first five are most relevant to income forecasting).
1. The nature of the business and history of the enterprise from its inception 2. The economic outlook in general and condition/outlook of the specific industry 3. The book value of the stock and the financial condition of the business 4. The earning capacity of the company 5. The dividend-paying capacity 6. Whether the enterprise has goodwill or other intangible value 7. Sales of the stock and the size of the block to be valued 8. The market price of stocks of corporations engaged in the same or similar line of business
54
Why does Revenue Ruling 59-60 emphasize dividend-paying capacity over actual dividends paid?
Rev. Rul. 59-60 (Section 4.02(e)): 'Primary consideration should be given to the dividend-paying capacity of the company rather than to dividends actually paid in the past.' Reason: Dividends actually paid may bear no relation to a company's capacity to pay dividends. Dividend-paying capacity = normalized net cash flow available to stockholders, which better represents the true economic benefit available to owners.
55
According to Shannon Pratt, why is net cash flow the preferred income stream for business valuation?
Net cash flow is the measure of economic income that most financial analysts prefer because: 1. Ibbotson/CRSP and Duff & Phelps equity risk premium data is applicable to net cash flows 2. Applying discount/capitalization rates to other income streams (net income, EBITDA, gross cash flow) without adjustment leads to guaranteed overvaluation 3. The discount rate is derived from market data applicable to net cash flows—using a different income stream without adjusting the rate creates an inconsistency
56
According to Jay Abrams, what happens when you discount net income or gross cash flows instead of net cash flow?
Discounting net income or any measure larger than net cash flow without adding a premium to the discount rate leads to guaranteed overvaluation. To correct this: A premium must be added to the discount rate, and the premium must increase with the degree to which the measure of earning power exceeds net cash flow. Practical problem: Almost nobody adds these premiums, and there is no empirical evidence for the appropriate magnitude of such premiums.
57
List the items from Revenue Ruling 59-60 that must be examined regarding the 'Nature and History of the Business' when developing an income forecast.
1. Company's past stability 2. Company's growth (or lack thereof) 3. Diversity of its operations 4. Other facts needed to assess the degree of risk 5. Study of gross and net income, and dividends covering a long prior period 6. Nature of the business, products/services, operating and investment assets, capital structure, plant facilities, sales records, and management 7. Events of the past unlikely to recur should be adjusted for (value has a close relation to future expectancy)
58
What economic and industry factors must be analyzed per Revenue Ruling 59-60 when developing a forecast?
1. Current and prospective economic conditions nationally and within the specific industry 2. Whether the company is more or less successful than competitors 3. Ability of the industry to compete with other industries 4. Prospective competition not previously a factor (high profits often attract new competitors) 5. Management depth—would loss of a key person impair the business?
59
How should the economic and industry sections of a business appraisal report connect to the income forecast?
At the end of each section, the appraiser should summarize the IMPLICATIONS for the Subject Company specifically addressing: 1. Growth in Company Revenue 2. Operating (EBIT) Profit Margins 3. Financing Costs (Interest Rates) 4. Business Risk (defined as volatility of EBIT) 5. Financial Risk (defined as risk of going bankrupt) These implications tie directly into the financial forecast. Simply inserting economic/industry data without connecting it to the forecast is a common error.
60
What items should be considered when analyzing a company's 'Earning Capacity' for forecasting purposes?
1. Careful analysis and comparison of income statements to historical results and industry benchmarks 2. Required control adjustments, including reasonable compensation to officers 3. Separate recurrent from non-recurrent income/expense items 4. Distinguish between operating income and investment income 5. Determine whether loss-generating business lines should be eliminated 6. Percentage of earnings retained for expansion 7. Revenue trends 8. Expense identification (inflation-tied vs. percentage-of-sales) 9. Sales concentration risks, seasonal/cyclical trends, technology dependence, obsolescence risks
61
How far into the future should an appraiser forecast, and what is the key error to avoid?
Forecast until the company's revenue growth stabilizes at a long-term sustainable rate. Stabilization is the goal—whether it takes 2 years or 13 years. Key error: It is an ERROR to automatically assume a five-year forecast. The length depends entirely on the facts and circumstances of each case. Rev. Rul. 59-60 cautions: 'Resort to arbitrary five-or ten-year averages without regard to current trends or future prospects will not produce a realistic valuation.'
62
Why is using a historical average instead of a forecast generally inadvisable?
Using a historical average implicitly states that the future is expected to exactly resemble the past. Since inflation is typically present (even in low amounts), a historical average effectively projects declining real sales and profits. Rev. Rul. 59-60: 'Prior earnings records usually are the most reliable guide as to the future expectancy, but resort to arbitrary five-or ten-year averages without regard to current trends or future prospects will not produce a realistic valuation.'
63
How should an appraiser handle management-prepared forecasts?
Steps: 1. Obtain management's forecast and compare it to an independently prepared forecast 2. Check reasonableness by comparing prior forecasts to actual results (budget vs. actuals) 3. If the forecast appears 'arms-length,' it may be used 4. If slanted high (for sale) or low (for buyout), modify it to conform to the standard of reasonableness 5. Adjust the discount rate higher for aggressive forecasts or lower for very conservative ones Caution: Management often has a motive—divorce, buyout, or sale—that can bias their projections.
64
How does Shannon Pratt define net cash flow?
'Net cash flow is cash that a business or project does not have to retain and reinvest in itself in order to sustain the projected levels of cash flows in future years. In other words, it is cash that is available to be paid out in any year to the owners of capital without jeopardizing the company's expected cash flow generating capability in future years.'
65
When we say 'net cash flow' without qualification in business valuation, what does it mean?
Net cash flow to EQUITY. When net cash flow to INVESTED CAPITAL is intended, it is specifically referenced by its complete name. The proper discount rate for net cash flow to invested capital is the WACC.
66
List the formula for Net Cash Flow to Equity.
Normalized Net Income Before Taxes − Provision for Income Taxes = Normalized Net Income After Taxes + Depreciation and Amortization = Gross Cash Flow − Capital Expenditures (needed to support projections) +/− Changes in Working Capital (increases = use of cash; decreases = source of cash) +/− Changes in Long-Term Debt (new borrowings added; repayments subtracted) = Net Cash Flow to Equity
67
List the formula for Net Cash Flow to Invested Capital.
Normalized Net Income Before Taxes − Provision for Income Taxes = Normalized Net Income After Taxes + Interest Expense (net of income taxes) + Depreciation and Amortization = Gross Cash Flow − Capital Expenditures (needed to support projections) +/− Changes in Working Capital = Net Cash Flow to Invested Capital Note: To determine equity value, subtract the fair market value of long-term debt from the invested capital value.
68
What are the three categories of the Statement of Cash Flows?
1. Operating Activities – Cash generated or used in day-to-day business operations (MOST IMPORTANT for business appraisers—consistently negative cash from operations = serious trouble) 2. Investing Activities – Cash used for or generated from capital expenditures and asset sales 3. Financing Activities – Cash from borrowing, debt repayment, equity issuances, and dividends
69
What are the two presentation methods for a Cash Flow Statement?
1. Direct Method – Essentially a cash basis income statement; each income statement account is converted to cash flows (time-consuming for accrual-basis companies) 2. Indirect Method – Most common; begins with net income and adjusts to reconcile from accrual net income to cash flow (adds non-cash charges, adjusts for changes in balance sheet accounts)
70
Why is an increase in accounts receivable subtracted when calculating cash flow from operations?
An increase in accounts receivable means the company made sales but did NOT collect cash—it represents a USE of cash (revenue recognized but not received). Similarly: • Increases in inventory = USE of cash (cash tied up in inventory) • Decreases in A/R or inventory = SOURCE of cash • Increases in A/P = SOURCE of cash (borrowing from suppliers) • Decreases in A/P = USE of cash (paying down supplier balances)
71
List the steps for estimating non-cash expenses (depreciation/amortization) in a forecast.
1. Review historical depreciation and amortization 2. If using tax returns, identify accelerated depreciation and Section 179 deductions—adjust to straight-line 3. Use a Depreciation Schedule showing all fixed assets, useful lives, acquisition dates, and future depreciation 4. Include amortization of any intangible assets 5. Develop a forecast for future depreciation and amortization based on existing and projected CapX
72
List the key considerations when estimating capital expenditures in a forecast.
1. Review historical capital expenditures 2. Discuss CapX plans with management (be aware of potential bias) 3. Understand what is happening in the industry (is new equipment needed to remain competitive?) 4. Assess adequacy of existing fixed assets relative to capacity and forecasted revenue 5. Evaluate maintenance history of current assets 6. Determine planned replacement schedule and cost 7. Consider likelihood of major repairs 8. Compare management's planned CapX to historical patterns 9. Consider capitalized leases vs. true operating leases 10. Incorporate future CapX into the depreciation schedule
73
For the terminal/perpetuity year of a forecast, what is the correct relationship between depreciation and capital expenditures?
In the terminal year (perpetuity), depreciation expense and capital expenditures should be EQUAL. Rationale: In a stable, steady-state business, CapX replaces assets at the rate they depreciate. If depreciation consistently exceeds CapX in the terminal year, the forecast implies the company will eventually run out of assets to depreciate—which is unrealistic for an ongoing concern.
74
What is excess cash in the context of working capital, and how is it treated in valuation?
Excess cash is cash held above the minimum amount required for day-to-day operations. Treatment: • Excess cash may be a non-operating asset • It should be ADDED to the indicated operating value to determine the total company value Conversely, if working capital is DEFICIENT, a hypothetical purchaser would need to make an immediate additional investment upon closing, warranting a DECREASE in the ending value.
75
What is the common error some appraisers make when estimating changes in long-term debt?
Assuming that net cash flow will be used to pay down all existing long-term debt to zero. This is usually unrealistic. Most companies tend to maintain a relatively constant debt-to-equity ratio once they stabilize. The more valid assumption is that the company will sustain a steady-state debt level rather than eliminate all debt.
76
What is the theoretical basis of the Asset Approach to value?
The Principle of Substitution: An informed purchaser will pay no more than the cost of producing a substitute business (asset) with the same utility as the subject. This approach adjusts all assets and liabilities—both tangible and intangible—to their fair market value, reflecting either a going concern or liquidation premise of value.
77
For which types of businesses is an Asset-Based method most appropriate?
1. Holding companies 2. Not-for-profit organizations 3. Asset-intensive companies (e.g., construction) 4. Controlling interests with the ability to liquidate assets 5. Actual sale valuations with a financial buyer (fair market value context) 6. Companies with high-integrity balance sheets (audited or reviewed accrual-basis statements)
78
List common net asset adjustments that must be considered under the Asset Approach.
1. Marketable securities 2. Accounts receivable 3. Inventory 4. Related party transactions (receivables and payables) 5. Property and equipment 6. Intangible assets 7. Interest-bearing debt 8. Built-in capital gains taxes 9. Non-interest-bearing debt
79
What is the Adjusted Net Asset Method (Adjusted Book Value Method)?
A method that normalizes all assets and liabilities to their fair market value as of the valuation date. It answers the question: 'What would a buyer pay for all the business's net assets at current market prices?' Also known as the Adjusted Book Value Method. It is the most straightforward asset-based method.
80
What is the Excess Earnings Method and for what purpose is it used?
The Excess Earnings Method is used to measure the goodwill or intangible value of a company—NOT the entire company's value. Origin: First promulgated in Appeals and Review Memorandum 34, updated in Revenue Ruling 68-609. Despite the IRS's preference to avoid it when better methods exist, it remains one of the most popular methods to value small businesses and professional practices (Shannon Pratt).
81
List the seven steps of the Excess Earnings Method.
Step 1: Estimate the normalized level of income (next year's earnings stream) Step 2: Determine the net tangible asset value at fair market value Step 3: Develop a required rate of return on net tangible assets Step 4: Multiply the tangible asset rate of return × net tangible assets = required return on tangible assets Step 5: Subtract the required return on tangible assets from earnings = Excess Earnings available to intangibles Step 6: Develop a capitalization rate for excess earnings (higher than tangible asset rate due to greater risk) Step 7: Capitalize excess earnings ÷ intangible cap rate = Intangible Asset Value
82
List the common errors in applying the Excess Earnings Method.
1. Using an unrealistic estimate of normalized earnings 2. Not defining tangible asset value 3. Not properly supporting the selection of capitalization rates 4. Improperly using capitalization rates from Rev. Rul. 68-609 (those rates are examples only) 5. Failure to allow for arm's-length market owner's salary 6. Use of book value instead of adjusted FMV values 7. Errors in developing appropriate capitalization rates
83
What is Negative Goodwill and how is it treated?
Negative goodwill appears when the calculated excess earnings produce a negative result, implying a negative intangible asset value. Treatment: Intangible assets either have positive value or ZERO value—negative intangible asset value is NOT supported in the marketplace. A willing seller would not pay a buyer for a negative goodwill position. Conclusion: Set intangible asset value to zero; do not apply a negative adjustment.
84
List the seven steps of the Liquidation Value Method.
Step 1: Consider market value adjustments to the balance sheet Step 2: Determine the correct premise of value (forced vs. orderly liquidation) Step 3: Estimate gross proceeds from asset liquidation (including broker/seller commissions) Step 4: Deduct direct and indirect costs (legal fees, auctioneer costs, operating losses until liquidation) Step 5: Deduct liabilities and contingent liabilities associated with the assets Step 6: Consider taxable liabilities from gains on asset sales Step 7: Consider discounting to present value if time to sell may be significant Result: Net amount realizable after all assets sold and liabilities satisfied
85
What are the two methods under the Income Approach to value?
1. Capitalization of Earnings Method – Converts a single, normalized, ongoing earnings stream into present value using a capitalization rate. Used when earnings are stable and growing at a constant rate. 2. Discounted Future Earnings Method (DCF) – Discounts multiple periods of projected cash flows plus a terminal value to present value. Used when earnings are unstable or growth rates will change significantly. IMPORTANT: Use one OR the other—never both in the same report.
86
What is the Capitalization of Earnings Method formula and when is it most appropriate?
Formula: Value = Normalized Earnings ÷ Capitalization Rate The cap rate can also be expressed as a multiplier: 100 / Cap Rate Example: 100 / 25% = 4× multiple Most appropriate when: • Earnings stream is stable • Forecasted growth is at a constant rate • Both conditions persist into perpetuity
87
List the five steps of the Capitalization of Earnings Method.
Step 1: Consider any adjustments to the financial statements (normalization) Step 2: Determine whether to value equity or invested capital cash flow Step 3: Select the economic income stream to capitalize (Net Cash Flow, Net Income, EBIT, EBITDA, SDE, Gross Profit, Revenue) Step 4: Develop an appropriate capitalization rate Step 5: Calculate the value (Earnings ÷ Cap Rate)
88
When is the Discounted Future Earnings Method (DCF) more appropriate than the Capitalization Method?
When either of the following conditions exists: 1. Unstable level of earnings or cash flow 2. Earnings growth rate is expected to change significantly over the forecast period (e.g., earnings go up one year but are expected to decrease the next) DCF requires a terminal value to capture value beyond the explicit forecast period.
89
List the eight steps of the Discounted Future Earnings Method (DCF).
Step 1: Consider any adjustments to the financial statements Step 2: Determine whether to value equity or invested capital cash flow Step 3: Develop a reasonable forecast for the selected earnings stream Step 4: Develop a discount rate appropriate to the income stream Step 5: Estimate the long-term growth rate for earnings (not sales) — Cap Rate = Discount Rate − Growth Rate Step 6: Develop a present value factor for each year of the forecast Step 7: Determine end-of-year or mid-year discounting convention: PV Factor = 1 / (1 + r)^t Step 8: Calculate incremental values for each year and the terminal value
90
What is the DCF discounting formula and what is the difference between end-of-year and mid-year conventions?
Formula: PV Factor = 1 / (1 + Discount Rate) ^ t • End-of-Year Convention: t = 1, 2, 3, 4, 5... (assumes all cash flows arrive at year end) • Mid-Year Convention: t = 0.5, 1.5, 2.5... (assumes cash flows arrive evenly throughout the year) Mid-year convention typically produces a higher indicated value because cash is received, on average, earlier than end-of-year.
91
List the common errors when using the Discounted Future Earnings Method.
1. Always using five years as the appropriate time frame 2. Unsupported assumptions about future events considerably different from historical performance 3. Not using the long-term growth rate for earnings to calculate the terminal period earnings 4. Terminal year value is less than the selected forecasted years (mathematically problematic) 5. Assuming constant growth in earnings throughout the forecast when growth is actually expected to vary
92
What economic principle underlies the Market Approach to value?
The Economic Principle of Substitution: 'No prudent individual would pay more for an asset than the price required to obtain an equal asset of comparable utility.' 'Equal' means equally desirable from an ownership or investment standpoint—not necessarily identical. Market transactional data represents a sampling of the marketplace from the investor's viewpoint.
93
Name the four methods under the Market Approach to value.
1. Direct Market Data Method (Transactional Method) – Uses actual sales of closely held businesses from databases 2. Merger & Acquisition Method (Guideline Private Company Method) – Uses pricing multiples from a few closely comparable transactions 3. Guideline Public Company Method – Uses multiples derived from comparable publicly traded companies 4. Industry 'Rule of Thumb' Method – For sanity checks ONLY; should not be relied upon as a primary method
94
What are the primary public market data sources for the Market Approach?
1. Securities and Exchange Commission (EDGAR) 2. Done Deals 3. Capital IQ 4. DealStats 5. Mergerstat 6. PitchBook
95
What are the primary private market data sources for the Market Approach?
1. BizMiner 2. Integra 3. DealStats 4. BIZCOMPS 5. ValuSource 6. Done Deals 7. Business Brokers 8. Proprietary Databases
96
How does the Direct Market Data Method differ from the Merger & Acquisition Method?
Direct Market Data Method: • Market-specific—uses a large sample of transactions (6 to 10+) • Knows little about each individual transaction • Relies on statistical analysis (mean, median, coefficient of variation) across many data points • Transactions come from business brokerage databases Merger & Acquisition Method: • Company-specific—uses 4 to 6 very similar, closely comparable transactions • Knows more detail about each transaction • Multiples may be adjusted for unique aspects of the subject company
97
What are common errors in applying the Market Approach?
1. Only relying on 'Rules of Thumb' 2. Co-mingling C and S Corporation transactions (DealStats) 3. Co-mingling asset and stock transactions (DealStats) 4. Not defining the size range relative to the subject company 5. Utilizing too few transactions 6. Including guideline public companies with sales far exceeding the subject company 7. Including a transaction when there are no sales data
98
What search criteria should be established when selecting transactional data for the Direct Market Data Method?
1. Type of interest (e.g., controlling interest of closely held businesses) 2. SIC or NAICS code (primary and acceptable secondary codes) 3. Sales range (ensure comparable business size) 4. Geographic domicile (U.S. vs. international) 5. Time frame (typically executed within the past ten years to capture one full business cycle)
99
What statistical measures are used when analyzing market transactional data?
1. Mean (average) 2. Median 3. Standard deviation (measures dispersion from the mean) 4. Coefficient of Variation (CoV = Standard Deviation / Mean—lower CoV = better indicator; higher CoV = more dispersion) 5. Regression analysis 6. Sorting by multiple (high to low)
100
What is a valuation multiple and how is it calculated from market data?
A valuation multiple expresses the relationship between a financial metric and the sold price of a business. Example (Price-to-Sales): Sold Price ÷ Annual Sales = Valuation Multiple $1,890,000 ÷ $1,258,794 = 1.5× multiple IMPORTANT: Always calculate these multiples yourself—never rely solely on the database's pre-calculated figures.
101
When applying the Direct Market Data Method, what is the initial indication of value and what adjustment is typically needed?
The initial indication is an INVESTED CAPITAL value (as if debt-free). Reason: Most sold transactions involved the seller retaining current assets and all liabilities, so the buyer received the business free of financial obligations. Adjustment needed: Convert from asset-sale invested capital value to an EQUITY value by adjusting for current assets retained and liabilities assumed in the transaction. Sources like IBA, BizComps, Pratt, and DoneDeals all require this recast.
102
When is the Guideline Public Company Method most appropriate and least appropriate?
Most appropriate: Valuation of larger privately held businesses that could conceivably be purchased by a publicly traded company or that were spun off as an independent enterprise. Least appropriate: Valuation of small businesses where the size gap between the subject and publicly traded comparables is too large (multiples become useless). Example of poor comparison: Local independent coffee shop vs. McDonald's Corp.; local hardware store vs. Home Depot.
103
What is the traditional Levels of Value chart and what three levels does it illustrate?
The Levels of Value chart illustrates the differences between: 1. Controlling Marketable Interest – Highest level; reflects the value with full control and full marketability 2. Minority Marketable Interest – Publicly traded minority shares; liquid but lacking control 3. Minority Non-Marketable Interest – Lowest level; lacks both control and marketability Moving from the controlling level to the minority non-marketable level requires applying a DLOC and/or DLOM.
104
What is the difference between a Discount for Lack of Control (DLOC) and a Discount for Lack of Marketability (DLOM)?
DLOC – Reflects the absence of control. Applied when the interest being valued lacks the ability to direct management, compensation, or company structure. Can apply to minority interests AND majority interests lacking some degree of control. DLOM – Reflects the absence of the ability to convert the interest into cash quickly and/or to transfer it within a relatively short time period. Contains two elements: transferability and liquidity.
105
Name the premiums and discounts at the shareholder level in business valuation.
Shareholder-Level Adjustments: 1. Control Premium – Premium for controlling interest 2. Discount for Lack of Control (DLOC) 3. Discount for Lack of Marketability (DLOM) 4. S Corporation Premium 5. Voting vs. Nonvoting Stock differential (possibly/maybe)
106
Name the entity-level discounts in business valuation.
Entity-Level Adjustments (less common than shareholder-level): 1. Key Person Discount 2. Discount for Trapped-In Capital Gains 3. Discount for Environmental, Litigation, and Other Contingent Liabilities Note: Key person discount and environmental/litigation discounts may alternatively be captured in the company-specific risk premium.
107
What are the two primary reasons why discounts for lack of control exist?
1. Differences in the market: The market for minority ownership interests in a company is different from the market for the company as a whole. 2. Disadvantages of minority position: Minority investors lacking control have several disadvantages relative to controlling shareholders: • Inability to change suboptimal management • Disproportionate distribution of cash flows to control holders • Timing of distributions controlled by majority • Limited access to information • No right to liquidate or sell corporate assets
108
What powers define 'control' in business valuation?
Control is characterized as the ability to: 1. Influence or decide owner/manager compensation and perquisites 2. Set company policies and procedures 3. Hire management personnel 4. Acquire or liquidate assets 5. Make acquisitions 6. Determine the amount and timing of dividends 7. Elect or appoint members of the board of directors
109
What are the primary sources of control premium data?
1. Mergerstat Review 2. Mergerstat / Shannon Pratt's Control Premium Study 3. Closed-End Funds Mergerstat measures premiums as the percentage difference between the acquisition price and the freely traded public share price five trading days before the acquisition announcement.
110
What is the formula to convert a Control Premium to a Discount for Lack of Control (DLOC)?
DLOC = Control Premium ÷ (1 + Control Premium) Example with 38.8% control premium: 38.8% ÷ (1 + 0.388) = 38.8% ÷ 1.388 = 27.95% DLOC
111
What factors may increase or decrease the DLOC from the baseline?
Factors that may INCREASE DLOC: • Management restrictions on minority interests per operating agreement • Company is dependent on a few key people Factors that may DECREASE DLOC: • State regulations protecting minority shareholders Factors that are NEUTRAL on DLOC: • Presence of historic distributions
112
How do the concepts of transferability and liquidity differ in the context of DLOM?
Transferability – The right to sell an asset in a market within a reasonable time frame at relatively low transactional costs with minimal effect on its value. Limited by ownership agreements, lack of disclosure, and costs. Liquidity – The ability to quickly convert property to cash or pay a liability without diminishing its value. Revenue Ruling inferred from NYSE that liquidity should mean approximately 3 days. DLOM contains elements of both: transferability and liquidity.
113
What are the two empirical models used to estimate DLOM and what do they measure?
1. Restricted Stock Studies – Compare prices of restricted stock (cannot trade for a holding period) to freely traded stock of the SAME company on the SAME date. Measures primarily MARKETABILITY (transferability). 2. Pre-IPO Studies – Compare prices of private transactions in a company's stock before an IPO to the post-IPO market price. Measures lack of marketability prior to going public.
114
Summarize the findings of restricted stock studies regarding DLOM discounts.
• Pre-1990 studies: Average discounts ranged from 13% to 35.6% • Post-1990 studies: Average discounts fell into the 20s% • The decline post-1990 corresponds with SEC eliminating mandatory registration and reducing holding periods from 2 years to 1 year • Many professionals believe earlier studies are better indicators of DLOM for closely held companies • SSR Study (Stout Risius Ross): For 6-month holding periods, discounts ranged from −5.3% to 40%, with a median of 9.3%
115
What are the four major problems associated with restricted stock studies?
1. Restricted stock shares differ from closely held company shares in important ways (known limited holding period, financial reporting transparency, and public market liquidity) 2. Discounts fell in very wide ranges within each study (e.g., Management Planning study: 0% to 57.6%) 3. Many studies do not provide detailed transaction-level information 4. Many studies are more than thirty years old
116
Summarize the findings of the Emory Pre-IPO Studies regarding DLOM.
• Mean discounts generally ranged from 40% to 45% • The 1997 dot.com study is not directly comparable; excluding it, the adjusted mean discount for 8 remaining studies was 46% • Transactions compare prices paid in private transactions within 5 months prior to IPO vs. the opening IPO price • Adjusting for event signaling (a 14.5% NYSE premium factor per Feldman), the adjusted DLOM estimate is approximately 31.5%
117
What is the Quantitative Marketability Discount Model (QMDM) and what does it require?
QMDM is a theoretical discounted cash flow model developed by Christopher Mercer to estimate DLOM for marketable minority interest values. Required inputs: 1. Expected growth rate in value 2. Expected dividend yield 3. Expected growth rate in dividends 4. Expected holding period 5. Required holding period return Two primary criticisms: 1. Holding period cannot be determined with any certainty 2. Theoretically, entity value should not change based on holding period (terminal value captures all future cash flows)
118
Name the three academic research studies on marketability discounts and their key findings.
1. Wruck Study – Mean discount of 17.6%. Studied price difference between unregistered and registered shares; found positive abnormal returns associated with private transaction announcements. 2. Hertzel/Smith Study – Mean discount of 20.1%; after multivariate regression controlling for non-marketability factors, the pure marketability discount was 13.5%. 3. Bajaj/Denis/Ferris/Sarin (Private Placement Study) – Mean discount of 22.2%; after controlling for non-marketability factors (business risk, financial distress, etc.), the pure DLOM was 7.2%.
119
What are the nine Mandelbaum Factors used to determine a DLOM?
Established in Bernard Mandelbaum v. Commissioner: 1. Financial statement analysis 2. Company's dividend policy 3. Nature of the company, its history, position in the industry, and economic outlook 4. Company's management 5. Amount of control in transferred shares 6. Restrictions on transferability of stock 7. Holding period for stock 8. Company's redemption policy 9. Costs associated with making a public offering
120
What is the current best practice for selecting and reconciling a DLOM percentage?
Use as many sources as deemed reasonable and reconcile into one DLOM conclusion: 1. Restricted stock studies 2. Pre-IPO studies 3. Theoretical models (QMDM) 4. Academic studies 5. Mandelbaum Factors Reliance on a single model/study is becoming less acceptable. Two approaches: • Discuss reasoning behind weighting one source over another • Objectively cite strengths and weaknesses of each, then select a percentage from within the high-to-low range
121
Name the primary databases used for DLOM research.
1. Pluris Valuation Advisors – Restricted stock database with 3,250+ transactions from 2001–Q4 2011; over 80 data points per transaction; requires calculating Restricted Stock Equivalent Discount (RSED) and Private Equity Discount Increment (PEDI) 2. Valuation Advisors Lack of Marketability Discount Study – ~9,400 pre-IPO transactions from 1985 to present; searchable by IPO date, NAICS/SIC, and other data points 3. FMV Restricted Stock Study – Updated quarterly; searchable by 21+ fields
122
What are trapped-in capital gains and when do they arise?
Trapped-in (built-in) capital gains arise when the tax basis of assets inside an entity is LOWER than their fair market values. This is most significant in C corporations (not eligible for Section 754 step-up), but can also be a factor in S corporations, partnerships, and LLCs. Key tax cases establishing this discount: Estate of Davis, Estate of Eisenberg, Estate of Jameson
123
Why can partnerships and LLCs often avoid the trapped-in capital gains issue that affects C corporations?
Partnerships and LLCs can make a Section 754 Election—a 'step-up' in basis—which allows a buyer to receive an inside basis in its ownership interest equal to the price paid to acquire that interest. This eliminates the trapped-in capital gains tax liability for the buyer, making the investment more attractive. This step-up basis is NOT available to C corporation shareholders.
124
What is an S Corporation Premium and why might it be applied?
An S Corporation Premium reflects the additional value an S corporation has compared to an otherwise identical C corporation, due to the tax advantage of pass-through taxation. Key benefit: S corporations can make discretionary distributions tax-free at the corporate level. C corporation dividends are taxed twice—once at the corporate level and again at the shareholder level. Only a true 'double tax' occurs when the C corporation distributes 100% of earnings. Many appraisers consider this a non-issue after the Tax Cuts and Jobs Act of 2018.
125
What is the typical price differential found in empirical studies between voting and nonvoting stock?
Four empirical studies of small minority interests found a price differential in favor of voting stock of LESS THAN 5%, with no study indicating a premium exceeding 10%. Key court cases: • Newhouse v. Commissioner: Goldman Sachs suggested 5–10% discount • Kosman v. Commissioner: IRS expert = 4%; taxpayer's expert = 10% (rejected for lack of published data support) • Simplot v. Commissioner: Petitioner argued 7%; IRS argued 3%; court decided 3% was reasonable
126
What is a Key Person Discount and how is it quantified?
A key person discount reflects the incremental decrease in value resulting from the risk that a key individual (owner, key salesperson, or specialist) may depart. Quantification methods: • Present value of management's estimated lost customers/revenue • Recruiting costs and time to ramp revenue back up • Cost to replace the key person and rebuild the business IMPORTANT: The IRS and Tax Court both recognize this discount. Avoid double-counting—if captured in the specific company risk premium or in forecasted earnings, do not apply a separate discount.
127
List the common errors in applying discounts and premiums.
1. Valuing underlying assets rather than stock or partnership interest 2. Assuming DCF/cap of earnings methods always produce a minority interest value 3. Assuming the Guideline Public Company Method always produces a minority interest value 4. Using minority interest marketability discount data to quantify controlling interest discounts 5. Using only restricted stock studies as the benchmark for DLOM 6. Inadequate analysis of relevant factors 7. Indiscriminate use of average/median discounts or premiums 8. Applying (or omitting) a premium or discount inappropriately for the legal context 9. Applying discounts/premiums to the entire capital structure rather than only to equity 10. Quantifying discounts/premiums based solely on past court cases
128
What does Revenue Ruling 59-60 say about taking an average of value indications?
Rev. Rul. 59-60: '...no useful purpose is served by taking an average...and basing the valuation on the results. Such a process excludes active consideration of other pertinent factors, and the end result cannot be supported by a realistic application of the significant facts in the case except by mere chance.' Conclusion: Do not simply average method indications. Instead, explain why you have more confidence in one method over another and support that reasoning.
129
What is the reconciliation process and what are the key questions to ask if method indications are far apart?
Reconciliation expresses the appraiser's confidence level in each method and explains the final value conclusion. If method indications diverge significantly, ask: 1. Did I develop my rate properly? 2. Did I apply my rate to the appropriate financial measurement? 3. Did I make the correct financial adjustments? 4. Did I consider what the seller and buyer would do in applying each method? 5. Is my math correct in each method?
130
What is the Justification of Purchase Price Test?
A test designed to double-check the indicated value by analyzing available cash flows of the business to determine whether a buyer can realistically pay back the purchase price. Process: A buyer provides a down payment and finances the balance with a term loan. The test verifies that the forecasted cash flows are sufficient to service the debt and provide an adequate cash-on-cash return to the equity investor at the appraised value.
131
What is the single most important principle of business valuation report writing?
Anyone should be able to REPRODUCE (replicate) the supporting facts and conclusions using the data and verbiage as stated in the written report. The principal reason a report is written is to COMMUNICATE AN OPINION. The appraiser must present information in a clear, concise, and understandable format to maintain independence and build trust.
132
What are the four steps in organizing a business appraisal report?
1. Analyze the purpose and use of the value conclusion (audience and occasion) 2. Determine the inclusion of subject matter (USPAP scope of work rule) 3. Find and select supporting material 4. Determine the report's organizational structure (terminal digit structure or basic indention format)
133
What does USPAP's Scope of Work Rule require the appraiser to do?
1. Properly identify the problem to be solved 2. Determine and perform the scope of work necessary for credible results 3. Disclose the scope of work in the report An appraiser must be prepared to support the decision to include any information, valuation method, or technique that would appear relevant to the client, another intended user, or the appraiser's peers.
134
What words or expressions should be avoided in a business appraisal report and why?
Avoid: Obviously, Clearly, Appears, Supposedly, Presumably, Apparently, Complete, Exhaustive, Assume Also avoid phrases like 'I think,' 'I believe,' or 'it seems'—they indicate less than 50% certainty and damage credibility. Preferred language: 'Based upon a reasonable degree of certainty' or 'Based upon a reasonable degree of probability'—stated clearly, explicitly, and confidently.
135
What are the two acceptable phrases for expressing the appraiser's level of confidence in a written report?
1. 'Based upon a reasonable degree of certainty' 2. 'Based upon a reasonable degree of probability' These phrases indicate that the appraiser is more than 50% certain about the events or information presented.
136
List the major sections of a complete business valuation report.
1. Table of Contents 2. Executive Summary 3. Appraiser's Certification (Assumptions and Limiting Conditions) 4. Introduction (Description of Assignment, Standard of Value, Premise of Value, Valuation Date, Ownership, Prior Transactions, Sources of Information) 5. Survey of the Business 6. Economic and Industry Conditions 7. Financial Analysis 8. Valuation of Subject's Interests 9. Adjustment to the Indicated Values (non-operating assets, discounts/premiums) 10. Reconciliation of Values 11. Appraiser's Qualifications
137
What is the difference between the Valuation Date (Effective Date) and the Report Date?
Valuation Date (Effective Date / 'As of Date') – The specific date for which the opinion of value applies. Generally historic, though can be prospective in some cases. Establishes the context for the appraiser's opinion. Report Date – The date the report is actually issued to the client. IMPORTANT: Do not confuse these two dates. The opinion of value would likely change if the effective date were modified.
138
What is the Standard of Value and why is it important to cite its source?
The Standard of Value defines the type of value being estimated (e.g., Fair Market Value, Fair Value, Investment Value). Fair Market Value (most common): The price at which property would change hands between a willing buyer and a willing seller, neither being under any compulsion to buy or sell and both having reasonable knowledge of relevant facts. Importance: Different standards apply in different contexts. Rev. Rul. 59-60 is for estate and gift tax. Buy/sell transactions use the International Glossary definition. Always cite the source of the definition.
139
What is the Premise of Value and what are the two primary premises?
The premise of value is the assumed condition under which the business is being valued—similar to 'highest and best use' in real estate appraisal. 1. Going Concern – The business continues to operate; intangible value and goodwill are captured 2. Liquidation – Assets are sold individually or in bulk; two sub-types are orderly liquidation and forced liquidation
140
What must be included in the Survey of the Business section of a valuation report?
Subsections typically include: 1. Description of the Subject Company 2. History of the Business 3. Form of Organization 4. Subsidiaries or Affiliates 5. Management 6. Employees/Staff 7. Products/Services 8. Sales and Marketing Activities 9. Customer Base 10. Facilities and Equipment 11. Competitors 12. Barriers to Entry 13. Environmental, Regulatory, and Other Conflicts 14. Management's Future Prospects 15. Implications for the Subject
141
What must the Appraiser's Certification section contain per USPAP?
The certification must include assumptions and limiting conditions used in the valuation assignment. USPAP defines 'assumption' as 'that which is taken to be true.' USPAP Standard 10-3 provides specific language that appraisers may use in their signed certification pages.
142
What is the purpose of the Appraiser's Qualifications section in a valuation report?
To inform the reader who is responsible for the opinions expressed in the report. It allows the reader to assess the appraiser's credibility by reviewing: 1. Education and training 2. Professional experience 3. Certifications held 4. Professional affiliations It is important for the reader to understand who is responsible for the opinions held within the report.
143
What is the Quick Ratio and the Current Ratio and what do they measure?
Quick Ratio – Measures a company's ability to meet short-term obligations using its most LIQUID assets (excludes inventory). Also called the acid-test ratio. Current Ratio – A higher ratio indicates the company can pay its creditors. Calculated as Current Assets ÷ Current Liabilities. Important: Only compare industry average ratios to the subject company's MOST RECENT year.
144
What are Days Accounts Receivable and Days Accounts Payable ratios?
Days Accounts Receivable – Measures the average number of days it takes a company to collect payments on accounts receivable. A higher number may signal collection problems. Days Accounts Payable – Measures the average number of days it takes a company to pay its accounts payable. A higher number may indicate the company is taking longer to pay suppliers (potential cash flow stress or leverage of supplier financing).
145
What is the Coefficient of Variation (CoV) and how is it used in market data analysis?
CoV = Standard Deviation ÷ Mean Purpose: Measures the relative dispersion of data points around the mean. • Lower CoV = less dispersion = the selected valuation multiple is a BETTER indicator of value • Higher CoV = more dispersion = the data set is less reliable; the mean/median may not be meaningful When CoV is low, selecting the mean or median is justified. When CoV is high, the appraiser must exercise greater judgment.
146
What is the MVIC to EBITDA multiple and how is it calculated?
MVIC = Market Value of Invested Capital = Market Value of Equity + Market Value of Long-Term Debt EBITDA = Earnings Before Interest, Taxes, Depreciation, and Amortization Formula: MVIC ÷ EBITDA = Valuation Multiple Used in the Merger & Acquisition Method and Guideline Public Company Method to compare companies on a debt-free basis.
147
What is the ISBA and what standards does it follow for report writing?
ISBA = International Society of Business Appraisers The ISBA follows the report writing standards described in the Uniform Standards of Professional Appraisal Practice (USPAP). USPAP is the recognized standard for professional appraisal practice in the U.S., including business valuation. While specific content standards vary by appraisal society, USPAP provides the foundational framework.
148
What is the BCA designation and what is its purpose?
BCA = Business Certified Appraiser The BCA is a professional designation issued by the International Society of Business Appraisers (ISBA). The training program is designed to produce appraisers who can: 1. Read and explain a business valuation report 2. Write a business valuation report independently The program covers approaches, methodologies, terminology, and their interrelationships.
149
What is Revenue Ruling 59-60 and why is it fundamental to business valuation?
Revenue Ruling 59-60 is an IRS guidance document originally issued for estate and gift tax valuation of stock in closely held corporations. It is widely recognized as the foundational standard for business valuation practice. Key contributions: • Defines the eight factors to consider in valuation • Emphasizes forward-looking analysis (future expectations) • Requires consideration of economic and industry conditions • Guides income forecasting approach • Addresses dividend-paying capacity as the primary measure of value
150
What is Revenue Ruling 68-609 and what method does it address?
Revenue Ruling 68-609 updated and restated the Excess Earnings Method originally established in Appeals and Review Memorandum 34. Key points: • The IRS does not favor this method and indicates it should only be used when no better method exists • The capitalization rates cited in the ruling are EXAMPLES ONLY—they should not be used without independent support • Despite IRS reluctance, it remains widely used for valuing small businesses and professional practices
151
What is the key distinction between 'controlling adjustments' and 'minority interest' adjustments in financial statement normalization?
Controlling Interest Adjustments – Appraisers make adjustments to reflect the TRUE operating financial performance of the company (e.g., adjusting excessive owner compensation to market rates). These adjustments are appropriate because a controlling interest holder CAN make these changes. Minority Interest – No controlling adjustments are warranted. A minority holder CANNOT change management, compensation, or the entity's structure without the consent of the controlling interest holder.
152
What is the proper treatment of preferred stock when calculating either Net Cash Flow to Equity or to Invested Capital?
Preferred stock dividends must be SUBTRACTED in reaching either: • Net Cash Flow to Equity, or • Net Cash Flow to Invested Capital This ensures the cash flows reflect only what is available to the common equity holders or to all capital providers after preferred obligations are met.
153
What is the capitalization rate as a multiplier and how is it calculated?
A capitalization rate can be expressed as a multiplier instead of a divisor: Multiple = 100 ÷ Capitalization Rate Example: A 25% cap rate = 4× multiple (100 ÷ 25 = 4) Example: A 20% cap rate = 5× multiple (100 ÷ 20 = 5) This allows comparison to market transaction multiples and helps communicate value in investor-friendly terms.
154
What is the relationship between the capitalization rate of next year's earnings and the current year's capitalization rate?
To convert NEXT YEAR'S capitalization rate to the CURRENT YEAR'S capitalization rate: Current Cap Rate = Next Year's Cap Rate ÷ (1 + Long-Term Growth Rate) This adjusts for the time difference between the two periods when earnings are growing at the long-term sustainable growth rate.
155
What does Rev. Rul. 59-60 say about the difficulty of determining the appropriate capitalization rate?
Rev. Rul. 59-60: 'A determination of the proper (discount) capitalization rate presents one of the most difficult problems in valuation.' The rate represents the expected rate of return the market demands to attract funds to a particular investment. The appraiser's goal is to quantify forward-looking investor expectations for an investment in the business.
156
What distinguishes the 'market-specific' nature of the Direct Market Data Method from the 'company-specific' nature of the Guideline Public Company and M&A methods?
Direct Market Data Method (Market-Specific): • Requires a large sample (6–10+ transactions) to be statistically meaningful • Derives overall market averages; less detail on each transaction • Sampling theory: adequate sample size ensures reasonable confidence level Guideline Public Company / M&A Method (Company-Specific): • Requires only 4–6 closely comparable companies or transactions • Knows considerably more about each comparable • Can adjust multiples for specific differences between the subject and each comparable
157
What is the role of 'common sense, informed judgment, and reasonableness' in selecting valuation ratios from the M&A Method?
Rev. Rul. 59-60 states these three elements must enter into the process of selecting the proper valuation ratio or multiple. This means: Do not automatically select the mean or median without analyzing the dataset. Use additional statistical tools (regression, CoV, standard deviation) as supplements—but these should complement, not replace, informed judgment and reasonableness.
158
What are the three basic financial statement components every appraiser must analyze?
1. Balance Sheet – A snapshot of assets, liabilities, and equity at a point in time 2. Income Statement – Reports revenues and expenses over a period; prepared on accrual basis 3. Cash Flow Statement – Shows actual cash receipts and payments; reconciles net income to cash Note: Many companies requiring valuation do not produce a formal cash flow statement—the appraiser must then reconstruct it from the balance sheet and income statement.
159
What does a consistently negative Cash Flow from Operations indicate?
A consistently negative cash flow from operations is a serious warning sign—the company is in trouble. Cash from operations is the most critical section for a business appraiser because it reveals whether the core business generates or consumes cash independent of financing and investing activities.
160
What is the difference between an accrual income statement and a cash flow statement?
Accrual Income Statement – Records revenue when earned and expenses when incurred, regardless of when cash is received or paid. Sales on account are recorded immediately even if cash is not yet collected. Cash Flow Statement – Shows actual cash receipts and payments during the period. Reconciles net income to actual cash flow by adjusting for non-cash items and changes in balance sheet accounts.
161
What is the Duff & Phelps Equity Risk Premium Adjustment and what range does the consensus equity risk premium fall in?
The Equity Risk Premium Adjustment compensates for any difference between the appraiser's selected forward-looking equity risk premium (typically 5%) and the historically calculated equity risk premium. General consensus range for equity risk premium: 3.5% to 6.0% This adjustment is cyclical—it changes throughout the business cycle.
162
What is the CRSP (Center for Research in Security Prices) Decile Study and how many deciles does it contain?
CRSP Decile Study uses publicly available market data to develop size-based risk premiums organized into 10 deciles. • Decile 1 = Largest companies • Decile 10 = Smallest companies The size premia data most widely used by valuation analysts have been adjusted for all systematic influences EXCEPT size—isolating the size premium as the unique additional risk factor.
163
What is the regression equation model in the Duff & Phelps Risk Premium Report and when is it used?
When a company's 'size measurements' do not exactly match the 'average smoothed' risk premiums from the 25th portfolio, a regression model can be employed to calculate an interpolated equity risk premium for a company. The risk premium report cautions: 'Extrapolating a statistical relationship far beyond the range of the data used in the statistical analysis is not recommended.' However, interpolating within the range of companies comprising the 25th portfolio is within reason.
164
What is a 'demand-driven' income statement forecast and what is its starting point?
A demand-driven forecast is the recommended methodology for developing forecasted financial statements. Starting point: A SALES FORECAST (revenue) All other variable line items are then driven off the sales forecast—meaning costs, working capital requirements, and other financial metrics are projected as a function of the projected sales level. This approach ensures the forecast reflects the actual economic drivers of the business.
165
Why is capital expenditure often overlooked in management-prepared forecasts?
Management frequently projects sales increases (e.g., 25%) but fails to account for whether the existing asset base can support that growth level. Key principle for the terminal/perpetuity year: Depreciation expense and CapX should be EQUAL. If depreciation consistently exceeds CapX, the forecast implies the company will eventually exhaust its depreciable asset base—an unrealistic long-term assumption.
166
What is the Probability Weighted Expected Earnings Model in forecasting?
A technique that assigns probability weights to multiple scenario outcomes (e.g., best case, most likely, worst case) to arrive at a probability-weighted expected earnings stream. Formula: Weighted Earnings = (Best Case × P1) + (Most Likely × P2) + (Worst Case × P3) Where P1 + P2 + P3 = 100% This approach provides a more rigorous, quantitative basis for forecasting under uncertainty.
167
Why should appraisers be cautious about the Historic Weighting Technique?
The weightings applied in the Historic Weighting Technique are subjective and do NOT necessarily relate to the researched business trend of the company. Cautions: • Business valuation is FORWARD-LOOKING—a historical weighted average only captures available earnings on an ongoing basis with an assumed constant growth rate • The technique assumes growth in earnings occurs at a constant, steady rate—which may not reflect expected business conditions • The company's benefit stream should reflect what is expected to occur DURING THE NEXT YEAR
168
What is an appraiser's responsibility when adjusting the balance sheet under the Asset Approach?
The appraiser must: 1. Identify non-operating or excess assets not used in operations 2. Identify operating assets NOT reflected on the balance sheet 3. Scrutinize management's responses to interview questions for honesty and reasonableness 4. Function as a 'detective' to uncover financial statement irregularities IMPORTANT: An appraiser is held accountable to determine what irregularities a probable buyer might uncover. Small/mid-size business financials are often 'managed' by owners for tax purposes, requiring more normalization adjustments.
169
What are the three possible definitions of 'net tangible assets' used in the Excess Earnings Method?
1. Gross assets less accumulated depreciation (assets adjusted to market value less economic depreciation) 2. Current Assets + Property & Equipment − Current Liabilities 3. Current Assets + Property & Equipment − ALL Liabilities Note: Revenue Ruling 68-609 does not specify a definition—there is no universally accepted standard for 'net of what.' The appraiser must define and disclose the definition used.
170
What is the relationship between intangible asset rate of return and the level of tangible assets on the balance sheet?
As tangible asset levels DECREASE → intangible rate of return INCREASES (compensating for higher risk of intangibles) As tangible asset levels INCREASE → intangible rate of return DECREASES (lower risk = lower required return) Logic: In default, tangible assets can be sold to recover value—investors accept a lower return for this protection. Intangibles, when separated from their income-producing tangible counterparts, are generally not salable independently—commanding higher risk-based returns.
171
What is the Direct Market Data Method's assumption about the treatment of assets and liabilities in sold transactions?
The Direct Market Data Method assumes that most 'sold' transactions in databases like IBA, BizComps, and DoneDeals were ASSET SALES where: • The seller retained current assets and all liabilities • The buyer received the business free and clear of financial obligations This means the initial indication of value represents INVESTED CAPITAL (as if debt-free). To convert to an EQUITY indication, the appraiser must adjust for the assets and liabilities that actually transferred in the transaction.
172
How many comparable transactions are generally required for each market method?
Direct Market Data Method: 6 to 10 or more transactions (more = greater statistical confidence; excess of 10 provides greater flexibility) Merger & Acquisition Method: At least 4 to 6 transactions that are significantly similar to the subject Guideline Public Company Method: No fixed requirement, but fewer are needed since 10-K and 10-Q filings provide detailed information, allowing more confident conclusions with fewer comparables
173
What are the nine Mandelbaum Factors and how are they used to ADJUST the DLOM from an average?
The Mandelbaum Factors are used to determine whether the DLOM should be HIGHER or LOWER than the average indicated by benchmark studies: 1. Financial Statement Analysis – Strong ratios = lower DLOM 2. Dividend Policy – No dividends = higher DLOM 3. Nature/History/Outlook – Thin competition = lower DLOM 4. Management – Single competent individual = higher DLOM (key person risk) 5. Amount of Control – Minority interest = average DLOM 6. Restrictions on Transfer – Right of first refusal = higher DLOM 7. Holding Period – Longer = higher DLOM 8. Redemption Policy – No policy = average DLOM 9. Cost of Making Public Offering – Small company, slim IPO chance = higher DLOM
174
List additional DLOM factors beyond the Mandelbaum factors.
1. Number of Shareholders 2. Concentration of Control Owner 3. Number of Potential Buyers 4. Access to Capital Markets 5. Size of the Business 6. Desirability of the Business 7. Existence of Non-Compete Agreements 8. Divergence of Owners' Business Philosophy 9. Yield 10. Volatility of Assets 11. Liquidity of Control Owners 12. Size of Subject Block being Valued 13. Existence and Impact of Pending Litigation 14. Redemption Policy 15. Secondary Market Liquidity 16. Existence of Company Goodwill 17. Multiple Classes of Common Stock
175
What is the difference between marketability and liquidity in the context of DLOM?
Marketability – The RIGHT to sell an asset in an established and efficient public capital market within a reasonable time frame, at relatively low transaction costs, with minimal effect on the asset's market price. Liquidity – The ABILITY to convert an asset into cash without diminishing its value. A spectrum: • High liquidity = low transaction costs, short liquidation period, minimal discounts • Low liquidity = opposite characteristics Private placement studies measure LACK OF LIQUIDITY; restricted stock and pre-IPO studies measure LACK OF MARKETABILITY.
176
What did Stanley Feldman's analysis reveal about event signaling and its impact on Pre-IPO study discounts?
Feldman reviewed two studies (moving from OTC to NYSE and from NASDAQ to NYSE) to estimate the impact of event signaling on discounts for closely-held stocks. Findings: A stock trading on the NYSE is at least 17% more valuable than an equivalent closely-held stock. This means a closely-held stock would sell at a 14.5% discount to an equivalent publicly traded stock. Adjusted Emory DLOM estimate: ~31.5% (46% mean discount − 14.5% event signaling effect)
177
What does the RSED and PEDI represent in the Pluris DLOM database?
RSED (Restricted Stock Equivalent Discount) – Represents the difference between the market value of a company's publicly traded stock and the equivalent value of a company's restricted stock. Results from the fact that restricted stock trades at a discount because it can only be sold in private transactions or in public markets after the holding period. PEDI (Private Equity Discount Increment) – Represents the additional discount for the further illiquidity of a closely-held interest relative to the restricted stock discount already captured in the RSED.
178
When is an S Corporation premium adjustment most likely needed in a valuation?
An S Corporation premium may be required when: 1. The indicated value was derived from publicly traded marketable value methods (Discounted Future Earnings, Capitalization of Earnings, Guideline Public Company methods) 2. These methods produce a 'C Corporation equivalent' value When using the Excess Earnings Method: an adjustment may be required to the INTANGIBLE asset value since it was based on market returns and reflects C Corporation equivalency. Note: Many appraisers treat this as a non-issue post-Tax Cuts and Jobs Act of 2018.
179
What is the difference between an expert report written for litigation versus one written for internal use?
Litigation Report – More detailed and comprehensive: • Includes full history of the business (inception dates, addresses, all relocations) • Records every material fact that may be tested under oath • Written knowing it may become part of testimony and be discoverable Internal Use Only Report – More concise: • Focuses on current state and essential facts • Less exhaustive historical narrative • Assumes a more sophisticated, informed audience Key principle: 'The law regarding the discoverability of expert reports is somewhat unsettled. Experts should assume anything they write will be discoverable.'
180
What are the two report organizational structure formats described in the textbook?
1. Terminal Digit Structure – Sections numbered hierarchically (e.g., 1.0, 1.1, 1.2, 2.0, 2.1) 2. Basic Indention Format – Sections distinguished by headings and indented subheadings Rules for either format: • State each heading as a single phrase • Let each subtitle state a key position • Sentence and paragraph structure should be tied to the main points
181
What does an Executive Summary contain and what is its typical length?
An Executive Summary summarizes the key points of the report for the reader, preparing them for the detailed content that follows. Typical length: One page (may be expanded for litigation matters) Typically includes: • Purpose of the valuation • Standard and premise of value • Ownership interest being valued • Summary of valuation methods used and their indications • Final opinion of value • Restrictions on use and intended users
182
What should the Scope of Work section of a valuation report explain?
The Scope of Work section explains the type and extent of research and analysis performed. Typically addresses: • Whether the appraiser toured the business or interviewed management • Number of years of financial information reviewed • Information obtained from management that was relied upon • Data sources used USPAP: 'Credible assignment results require support by relevant evidence and logic. The creditability of assignment results is always measured in the context of the intended use.'
183
What is the Primary Sources of Information section and how should sources be documented?
This section briefly discusses the major pieces of information relied upon in the valuation. Best practice: Sources should be FOOTNOTED to allow the reader to easily locate the original source. Common sources include: • Financial statements prepared by accountant • Federal tax returns • Information provided verbally by management • Management questionnaire • Economic and industry studies • Transaction databases • Discount rate data sources
184
What should the Prior Transactions section of a valuation report address?
1. Were there any prior transfers of ownership in the company? 2. At what price did those transfers occur? 3. Were those transfers arm's-length transactions consistent with the definition of fair market value? 4. How long ago did the transaction occur? 5. Is the prior transaction relevant to the current assignment? Prior transactions can be highly relevant as evidence of value, but must be evaluated for reliability and relevance.
185
How should an appraiser handle gains or losses on asset sales when calculating cash flow from operations?
Gains and losses on asset sales (non-inventory assets) appear on the income statement but do NOT affect the operating cash from the transaction. Treatment: • The CASH RECEIVED from the sale is reported in Investing Activities • The GAIN (if any) must be SUBTRACTED as an adjustment to net income in operating cash flows (to avoid double-counting) • The LOSS (if any) must be ADDED BACK as an adjustment to net income in operating cash flows (since it reduced net income but no cash was paid) Example: Truck sold for $20,000 with $21,500 book value → $1,500 loss added back in operations; $20,000 receipt in investing activities
186
What is required cash and how do appraisers typically handle it in working capital forecasts?
Required cash = the minimum cash balance a business must maintain to pay daily operating bills. Two approaches: 1. Adjust the DISCOUNT RATE to account for required cash risk (common approach) 2. Forecast required cash separately as a percentage of sales—then add it to working capital changes Caution: Do NOT do both! If you adjust the discount rate for required cash AND separately forecast required cash changes, you will double-count and likely UNDERVALUE the business.
187
What is the Compound Annual Growth Rate (CAGR) and what does it NOT account for?
CAGR = [(Last Value / First Value)^(1/Number of Years)] − 1 CAGR DOES measure: The geometric growth rate from the first year to the last year of the analysis. CAGR does NOT account for: Any values in between the first and last year. Intermediate volatility is completely ignored, which can be misleading if earnings were volatile during the period.
188
What is 'normalized' income and why does it differ from reported income?
Normalized income adjusts reported financial results to remove items that are: 1. Non-recurring or extraordinary (one-time items unlikely to repeat) 2. Non-operating (e.g., rental income from unrelated assets) 3. Related party distortions (above/below-market owner salary, related party rent) 4. Accounting anomalies (e.g., LIFO inventory adjustments, accelerated depreciation) Goal: Reflect the true, ongoing, sustainable operating performance of the business as it would appear to a hypothetical buyer.
189
What does 'reasonable compensation' adjustment mean in a business valuation and why is it necessary?
Reasonable compensation is an adjustment made to replace actual owner compensation with what an arms-length, qualified manager would be paid for the same services. Purpose: Eliminate the distortion caused by owners paying themselves too much (depressing profits) or too little (inflating profits relative to fair market economics). Data sources: U.S. Department of Labor National Compensation Survey, regional surveys, and industry compensation data. Failure to make this adjustment is listed as a common error in the Excess Earnings Method.
190
What is 'invested capital' (also called MVIC) in the context of business valuation?
MVIC = Market Value of Invested Capital = Total capital supplied by both debt and equity investors Formula: MVIC = Fair Market Value of Equity + Fair Market Value of Long-Term Debt An invested capital (debt-free) value represents the business as if it had no debt. To determine EQUITY value from an MVIC value, subtract the fair market value of long-term debt. The proper discount rate for invested capital valuation is WACC.
191
Why does Rev. Rul. 59-60 require analysis of five or more years of financial history?
Rev. Rul. 59-60: 'Detailed profit and loss statements should be obtained and considered for a representative period immediately prior to the required date of appraisal, preferably five or more years.' Purpose: • Separate recurrent from non-recurrent income and expense • Distinguish operating from investment income • Identify loss-generating business lines • Understand earnings trends (growing, stable, declining) • Provide a reliable basis for forecasting future performance
192
What is the principle behind the Income Approach to value?
According to Gary Trugman: 'The value of an investment is equal to the sum of the present value of the future benefits it is expected to produce for the owner of the interest.' According to Pratt, Reilly, and Schweihs: 'The value of a business or an interest in a business depends on the future benefits that will accrue to it, with the value of the future economic benefits discounted back to a present value at some appropriate discount rate.'
193
What is the principle behind the Asset Approach to value?
The Principle of Substitution: An informed purchaser will pay no more than the cost of producing a substitute business (asset) with the same utility as the subject. The approach adjusts all assets and liabilities—both tangible and intangible—to their fair market value as of the valuation date. The adjusted value reflects the appropriate premise of value (going concern or liquidation).
194
What is the principle behind the Market Approach to value?
The Economic Principle of Substitution: 'No prudent individual would pay more for an asset than the price required to obtain an equal asset of comparable utility.' 'Equal' means equally desirable from an ownership or investment standpoint—not necessarily identical in all respects. Market transactional data represents a sampling of the marketplace from the investor's viewpoint, providing objective evidence of value.
195
Name the five forecasting techniques and identify which one is considered most appropriate.
1. Percentage Technique – Simple; projects items as % of sales 2. Most Likely / Best Case / Worst Case – Best for start-ups and unsophisticated companies 3. Fixed and Variable Cost Technique – MOST APPROPRIATE; separates fixed and variable costs to reflect realistic business cost structures 4. Historic Weighting Technique – Subjective; weights historical years by confidence level 5. Probability Weighted Expected Earnings – Quantitative; weights multiple scenario probabilities Best technique: Fixed and Variable Cost, because most businesses actually have a combination of fixed and variable expense structures.
196
Why is the Guideline Public Company Method rarely used for small business valuation?
Because of the size gap between small closely held businesses and publicly traded companies. Public companies have significant advantages small businesses do not: • Access to diversified geographic markets • Ability to purchase inventory at better rates • Ability to borrow money without pledging personal assets • Access to broader capital markets Result: Multiples derived from public companies are generally not applicable to small private businesses, making the comparison invalid.
197
What does the term 'As If Debt-Free' mean in business valuation?
'As if debt-free' means valuing the business as though it has no interest-bearing debt. This is the basis for Invested Capital (MVIC) valuation. Why: Eliminates the effect of different capital structures so that businesses can be compared purely on their operating performance. To get to equity value: Subtract the fair market value of long-term debt from the invested capital value. The appropriate discount rate: WACC (which blends the cost of debt and equity in proportion to the capital structure)
198
What is the LIFO inventory adjustment and why does it matter in business valuation?
LIFO (Last-In, First-Out) inventory accounting can distort reported earnings and balance sheet values. In business valuation adjustments: • LIFO reserves must be identified and adjustments made to both the beginning and ending inventory in Cost of Goods Sold (COGS) for both the balance sheet and income statement • Failure to make this adjustment can lead to incorrect normalized earnings and cash flow calculations • LIFO inventory on the balance sheet is often understated relative to current market values
199
What is the formula for converting a Discount Rate applicable to Net Cash Flow to one applicable to Net Income?
The conversion assumes: 1. Net income and net cash flow maintain a CONSTANT relationship to each other over time 2. Both grow at the SAME constant annual compound rate into perpetuity Conversion factor = Company's Normalized Net Cash Flow ÷ Normalized Net Income CAUTION (Pratt, Reilly, Schweihs): These critical assumptions are RARELY met in real-world situations. Therefore, net cash flow is STRONGLY RECOMMENDED as the measure of economic income to use in discounted economic income methods.
200
What are the three categories of the Income Approach and which income streams can be selected for capitalization?
The Income Approach methods (Capitalization of Earnings and DCF) can be applied to various income streams. Selectable streams include: 1. Revenue (Gross Sales) 2. Gross Profit 3. EBIT (Earnings Before Interest and Taxes) 4. EBITDA 5. Seller's Discretionary Earnings (SDE) 6. Net Income (After Tax) 7. Net Cash Flow IMPORTANT: The discount/capitalization rate selected MUST match the income stream selected. Applying a net cash flow rate to net income is a critical error that leads to overvaluation.
201
What is the role of the 'Justification of Purchase Price Test' in the reconciliation process?
The Justification of Purchase Price Test double-checks the indicated value by asking: Can a buyer realistically purchase this business at the appraised value and generate sufficient cash flow to service the debt? Process: 1. Assume buyer provides a down payment and finances the balance with a term loan 2. Model the amortization schedule 3. Compare the business's forecasted cash flows to debt service requirements 4. Calculate the cash-on-cash return to the equity investor If the cash flows cannot support the purchase price, the indicated value may be too high.
202
What are the implications of the Tax Cuts and Jobs Act of 2018 for business valuation?
The Tax Cuts and Jobs Act of 2018 may have had an impact on: 1. Trapped-in capital gains tax calculations – specifically the applicable corporate tax rate (previously 34.7%; reduced after TCJA) 2. S Corporation premiums – Many appraisers have begun to consider the S corporation premium as a non-issue because the differential between C and S corporation tax treatment narrowed significantly under TCJA Appraisers must always use the current effective tax rates as of the valuation date when making these calculations.
203
What is a 'Dream Sheet' in management forecasting and how should it be handled?
A 'Dream Sheet' is a management-prepared forecast that is artificially optimistic—typically prepared when management wants to maximize the company's apparent value (e.g., for a sale). The opposite also occurs: artificially pessimistic forecasts are prepared to minimize value (e.g., for a divorce buyout). Handling: The appraiser should: 1. Prepare an independent forecast and compare to management's version 2. Check prior forecasts against actual results for pattern of bias 3. Modify management's forecast to conform to a reasonable standard 4. Adjust the discount rate higher for aggressive forecasts (increased risk of not achieving)
204
What is a 'Section 754 Election' and why is it significant in the context of trapped-in capital gains?
A Section 754 Election allows a partnership or LLC buyer to receive an 'inside basis' (step-up in basis) in its ownership interest equal to the price paid to acquire that interest. Significance: This eliminates the trapped-in capital gains tax liability for the buyer—a major tax advantage over C corporation stock acquisitions. C corporations do NOT have access to this step-up provision. A C corporation buyer of C corporation stock inherits the historical low tax basis, creating a potential built-in gains tax liability.
205
What is the relationship between control premiums and minority interest discounts in business valuation?
They are mathematically related: DLOC = Control Premium ÷ (1 + Control Premium) Conversely: Control Premium = DLOC ÷ (1 − DLOC) Example: A 38.8% control premium corresponds to a 27.95% DLOC. The primary sources of control premium data are: • Mergerstat Review • Mergerstat/Shannon Pratt's Control Premium Study • Closed-End Funds
206
3. All of the following are independent variables for determining invested capital multiples, EXCEPT: - Revenue - Earnings before interest and tax - Earnings before interest, tax, depreciation and amortization - Net income - Invested capital net cash flow
Net income
207
4. Generally, information that is eligible for the appraiser to use in an appraisal includes: - Only things which have occurred as of the valuation date. - Anything that occurs up to the time the appraiser issues the written report. - Anything that occurs up to the time the appraiser completes his/her research for the report. - Any and all subsequent events.
Only things which have occurred as of the valuation date.
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An appraiser may use "subsequent events" (events that followed after the valuation date) under which circumstances? Never When such events were "known' or 'knowable" Only for tax cases None of the above
When such events were "known' or 'knowable"
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6. Assuming: 3.6% risk-free rate 13.5% equity risk premium 0.5% equity risk premium adjustment 6.0% specific company risk premium 4.0% long-term growth rate Using the buildup method the applicable discount rate and capitalization rate is most nearly:
Discount rate = 23.6%, capitalization rate = 19.6%
210
You were retained to value a 100% interest in an operating company for gifting purposes. There is one owner. The company is profitable and solvent. There are a reasonable number of identifiable market transactions. The company is a C corporation with annual sales of $500,000. The company's growth rate and profitability levels has been steady, a rate which is expected to continue. All of the following methods are appropriate for this valuation, EXCEPT: - Capitalization of earnings method - Discounted future earnings method - Direct market data method - Merger and acquisition method
Discounted future earnings method
211
Generally speaking, which of the following is true about use of the asset-based methods? They can be developed under a going concern or liquidation premise. They are more appropriate for controlling interests than minority interests. They are more appropriate for asset-intensive companies than service companies. All of the above
All of the above
212
Specific-company risk includes which of the following? Competition Customer concentration Industry risk Management depth and competence All of the above
All of the above
213
The Revenue Ruling 59-60 statement "there is no means whereby the various applicable factors in a particular case can be assigned mathematical weights in deriving fair market value is": Valid Obsolete Often subject to the judgment of the business appraiser None of the above
Valid
214
In determining the value of "invested capital," which type(s) of debt are taken into account? All debt Short-term, interest-bearing debt only All interest-bearing debt None of the above
All debt
215
the following are all commonly used tools of financial analysis, EXCEPT: Comparative benchmark analysis Common-size analysis Ratio analysis None of the above
None of the above
216
The quality of financial statements is generally ranked in the order of (highest to lowest quality): Tax return, compiled, reviewed and audited Audited, reviewed, compiled, tax return Audited, reviewed, tax return, compiled Tax return, reviewed, compiled, and audited
Audited, reviewed, tax return, compiled
217
The "Dividend Paying Capacity" of a privately held business, mentioned in the IRS' Revenue Ruling 59-60, refers to which income stream? Earnings before interest, taxes, depreciation, and amortization Pretax net income Net cash flow Normalized net earnings
Net cash flow
218
The excess earnings method was intended to value which of the following? Entire businesses Only service businesses Only manufacturing companies Only intangible assets
Only intangible assets
219
Liquidation Value is usually thought to be an element of which broad approach to value? Income Approach Public Guideline Approach Market Data Approach Asset Approach Book Value Approach
Asset Approach
220
USPAP Standards require that an appraiser must have a signed certification included in the written valuation and is optional in the appraiser's workfile. TRUE FALSE
FALSE
221
In the business appraisal profession the terms "appraisal " and "valuation " mean essentially the same thing. TRUE FALSE
TRUE
222
If a dentist acquires another dental practice in the same general market area, the buyer is probably a strategic buyer and the standard of value used was investment value. TRUE FALSE
TRUE
223
What are the three business appraisal approaches to value? Income, asset, and market Income, guideline, and discounting Asset, market, and discretionary cash flow Guideline, net asset value, and direct market data Book value, rule of thumb, and excess earnings
Income, asset, and market
224
A general way of estimating value most closely defines which of the following terms? Approach Method Procedure Process
Approach
225
The specific way of estimating value most closely is defined by which of the following terms? Approach Method Procedure Technique
Method
226
According to USPAP standards, a restricted use appraisal report can be used by multiple parties for their specified purpose. TRUE FALSE
FALSE
227
Using Duff & Phelps data, what type of value does the discounted future earnings method produce after making all normalizing adjustments? Control interest, as if freely traded marketable basis Control interest, closely held marketable basis Minority interest, as if freely traded marketable basis Minority interest, closely held marketable basis
Control interest, as if freely traded marketable basis
228
Which of the following methods require two assumptions to be reasonable: (i) stable earnings and (ii) a constant sustainable growth rate? Discounted future earnings method Guideline public company method Capitalization of earnings method Adjusted book value method
Capitalization of earnings method
229
The return stream used in the discounted future earnings method should be derived from: The average of the most recent five years of the selected return The actual selected return for the most recent year The average of the most recent five years of the selected return with the average weighted to favor the most recent year(s) Expected return, however best estimated for each appraisal
Expected return, however best estimated for each appraisal
230
The following are all methods under the market approach, EXCEPT: Merger and Acquisition Guideline Public Company Method Dividend-Paying Capacity Price to SDE Market Multiple Method
Dividend-Paying Capacity
231
When using the Direct Market Data Method to arrive at a value indication for the subject interest, ideally, what is the minimum number of transactions you should accept as representative of the total market? 5 10 15 Any number is representative of the total market
5
232
It is recommended to use the average discount provided by an analysis of a variety of restricted stock studies to determine the selected discount for lack of marketability. TRUE / FALSE
FALSE - The selected DLOM should be based on the specific facts and circumstances of the subject interest. Restricted stock studies provide context and support, not a mechanical average to apply directly.
233
Business appraisers regularly determine the fair market value of a non-controlling, non-marketable interest in a privately held business without applying any discounts or premiums to the final value conclusion. TRUE / FALSE
FALSE - A non-controlling, non-marketable interest typically requires consideration of discounts for lack of control and lack of marketability, depending on the valuation approach and level of value being developed.
234
The "standard of value" definition affects the size/amount of the discounts or premiums applied. TRUE / FALSE
TRUE - The standard of value influences the assumptions used in the valuation, which can affect whether discounts or premiums apply and how large they are.
235
Assuming CRSP Decile Study data: 2.6% risk-free rate, 6.7% equity risk premium, 7.9% small stock premium, 2.3% industry risk premium, 4.0% specific company risk premium, 4.0% long-term growth rate. Using the buildup method, the discount rate and capitalization rate is most nearly: a) Discount rate = 21.2%, cap rate = 17.2% b) Discount rate = 23.5%, cap rate = 19.5% c) Discount rate = 18.9%, cap rate = 14.9% d) Discount rate = 17.2%, cap rate = 13.2%
b) Discount rate = 23.5%, cap rate = 19.5% Calculation: 2.6 + 6.7 + 7.9 + 2.3 + 4.0 = 23.5% discount rate; 23.5% - 4.0% long-term growth = 19.5% cap rate.
236
Net cash flow is referred to as which of the following? a) Return on investment b) Dividend paying capacity c) Pretax net income d) EBITDA
b) Dividend paying capacity - Net cash flow represents the amount available for distribution to equity holders after all obligations are met.
237
When using transactional market data, what is the best measure of dispersion? a) Standard deviation b) Median c) Mean d) Coefficient of variation
d) Coefficient of variation - It measures dispersion relative to the mean (CV = standard deviation / mean), making it especially useful for comparing variability across datasets with different averages.
238
Private Co sold for $100,000 down, $100,000 at end of each of the next three years, and a $1,000,000 balloon at end of year 4. Discount rate = 18.8%. What is the cash equivalent value? a) $600,000 b) $687,000 c) $717,000 d) $817,000
d) $817,000 Calculation: Down = $100,000; Yr1 = $100,000/1.188 = $84,175; Yr2 = $70,854; Yr3 = $59,641; Yr4 balloon = $1,000,000/1.188^4 = $501,037. Total PV = $816,707, rounded to $817,000.
239
A 50% interest is generally a controlling interest. TRUE / FALSE
FALSE - A 50% interest is not generally considered a controlling interest because control usually requires the ability to direct decisions unilaterally. With 50%, there is often shared control or potential deadlock.
240
Which of the following is a commonly used source for estimating the cost of equity capital? a) RMA financial statements b) Duff & Phelps Risk Premium Report c) Mergerstat data d) None of the above
b) Duff & Phelps Risk Premium Report - Provides cost of capital inputs including equity risk premia, size premia, betas, and industry risk premia. RMA provides financial statement benchmarking; Mergerstat provides M&A transaction data.
241
How does a business appraiser support the selected specific company risk premium? a) By referencing industry/economic analysis, risk drivers, and comparative financial ratio analysis b) By citing court cases where SCRP was utilized c) By researching market comparables and their quoted SCRPs d) All of the above
a) By referencing the industry and economic analysis, risk drivers discussed, and by drawing conclusions about the business' operating risk through the comparative financial ratio analysis - SCRP is justified through company-specific qualitative and quantitative risk factors.
242
Calculate the equity capitalization rate using the Modified CAPM: risk-free rate 3.8%, forward ERP 6.75%, beta 1.20, size premium 6.9%, specific company risk premium 4.5%, long-term growth rate 3.5%. a) 17.25% b) 19.65% c) 19.80% d) 24.25%
c) 19.80% Calculation: 3.8 + (6.75 x 1.20) + 6.9 + 4.5 = 3.8 + 8.1 + 6.9 + 4.5 = 23.3% discount rate; 23.3% - 3.5% growth = 19.8% equity cap rate.
243
GAAP working capital is generally defined as current assets minus current liabilities. TRUE / FALSE
TRUE - That is the standard accounting definition of working capital under GAAP.
244
When reconciling valuation results into a final opinion of value, the appraiser should consider weighting by which of the following? a) Scientific formula b) Regression analysis c) Appraiser's informed judgment d) Always apply equal weighting e) Always use the median indication
c) Appraiser's informed judgment - Reconciling multiple valuation indications is based on reasoned professional judgment about the reliability and relevance of each method, not a mechanical formula.
245
When developing a forecast, an appraiser should NOT include a discussion on the impact the industry and economic outlooks previously discussed in the report would have on the expected results. TRUE / FALSE
FALSE - An appraiser should discuss how the industry and economic outlook affects the forecast to support whether projected results are reasonable and consistent with the narrative elsewhere in the report.
246
Determine the fair market value of 'invested capital' for selling purposes: Median sales multiple = 0.35; Gross sales = $325,000; Cash = $12,500; Accounts receivable = $100,000; Total liabilities = $19,823. a) $113,750 b) $206,427 c) $226,250 d) $246,073
a) $113,750 Calculation: 0.35 x $325,000 = $113,750. A sales multiple applied to invested capital produces the value directly. Balance sheet adjustments for cash, AR, and liabilities are equity-level adjustments not applicable here.
247
Fixed assets' useful lives are typically the same as their estimated life for tax purposes. TRUE / FALSE
FALSE - Tax depreciation follows prescribed tax rules (e.g., MACRS) while useful life reflects expected economic or service life. These are frequently different.
248
Discounts applicable to 'built-in capital gains' tax issues should generally only be considered when: a) Using methods from the Income Approach b) Using methods from the Market Approach c) Using methods from the Asset Approach d) Reconciling all methods into a final opinion of value
d) Reconciling all methods into a final opinion of value - Built-in capital gains tax considerations are applied during reconciliation; they are not exclusively an asset approach issue and can affect the final opinion when multiple approaches are weighted.
249
Which of the following best describes 'elements of control'? a) Rights that a minority shareholder does not have b) Rights to determine management compensation and perquisites c) Rights to appoint or change members of the board d) All of the above
d) All of the above - Elements of control include rights not available to minority shareholders, including setting management compensation, appointing board members, and directing major company decisions.
250
Generally, ownership in an entity is best described as which of the following? a) Minority interest (less than 50%) b) Controlling interest (more than 50%) c) Minority interest (less than 50%) or Controlling interest (more than 50%) d) None of the above
c) Minority interest (less than 50%) or Controlling interest (more than 50%) - A stake below 50% is typically minority; above 50% is typically controlling. A 50% interest is treated separately due to potential shared control or deadlock.
251
Shareholder level discounts are often thought of as having voting versus non-voting rights. TRUE / FALSE
TRUE - Shareholder-level discounts relate to rights attached to specific shares or interests, with voting versus non-voting status being a classic shareholder-level issue affecting control-related value.
252
Assuming a 30% discount rate, 6% long-term sustainable growth rate, and $200,000 of applicable earnings, the capitalized value most likely would be: a) $555,556 b) $666,667 c) $833,333 d) None of the above
c) $833,333 Calculation: Cap rate = 30% - 6% = 24%; Value = $200,000 / 0.24 = $833,333.
253
Liquidity is generally defined as: 'The ability to quickly convert property to cash at a known cost and within a known time frame.' TRUE / FALSE
TRUE - That is the standard valuation definition of liquidity: the ability to convert property into cash quickly, at a reasonably known cost, and within a reasonably known time frame.
254
A discount for lack of marketability is generally thought of as having two components: transferability and liquidity. TRUE / FALSE
TRUE - DLOM addresses two broad issues: (1) transferability - how easily the interest can be sold or transferred, and (2) liquidity - how quickly it can be converted to cash.
255
Assuming next year's equity discount rate of 24% and a sustainable long-term growth rate in earnings of 4%, what is the 'equity' capitalization rate? a) 28.00% b) 21.00% c) 20.00% d) 19.00%
c) 20.00% Calculation: Equity cap rate = discount rate - growth rate = 24% - 4% = 20%.
256
The 'Mandelbaum Factors' are generally referenced in the determination of a selected discount for lack of marketability. TRUE / FALSE
TRUE - The Mandelbaum Factors (from Mandelbaum v. Commissioner) are widely referenced when selecting a DLOM and are used to adjust the discount for the specific facts and circumstances of the valuation.
257
Which of the following best describes the 'interest' and 'basis' in an entity? a) Minority interest, marketable b) Controlling interest, non-marketable c) Controlling interest, as if freely traded d) Minority interest, non-marketable e) All of the above
e) All of the above - A subject ownership position is described by two dimensions: interest level (minority or controlling) and marketability basis. All listed combinations are valid valuation starting points or subject interest descriptions.
258
Which of the following represents an indication of value based on the future outlook for the company? a) Discounted cash flow method b) Capitalization of earnings method c) Price to revenue market multiple method d) All of the above
d) All of the above - DCF, capitalization of earnings, and price-to-revenue methods all implicitly reflect future performance expectations. All income and market approach methods incorporate forward-looking assumptions about the company.
259
Which of the following is true of Restricted Stock Studies? a) Published annually by the IRS b) Based on actual sales transactions of stock c) Based on annual Black-Scholes data d) None of the above
b) Based on actual sales transactions of stock - Restricted stock studies analyze real transactions in restricted shares compared to corresponding unrestricted publicly traded shares to help assess lack of marketability.
260
What type of value does the guideline publicly traded method produce when control adjustments are made to the earnings stream? a) Control interest, as if freely traded marketable basis b) Control interest, on a closely held marketable basis c) Minority interest, as if freely traded marketable basis d) Minority interest, on a closely held marketable basis
a) Control interest, as if freely traded marketable basis - The guideline public company method is based on public market pricing (freely traded). When control adjustments are made to earnings, the indication shifts to control level while remaining on an as-if-freely-traded marketable basis.
261
If the market valuation multiple is 7.7 times equity net cash flows and the expected long-term growth rate is 5%, what is the implied equity net cash flow discount rate? a) 8% b) 13% c) 18% d) 20%
c) 18% Calculation: Implied cap rate = 1/7.7 = 12.99%; Discount rate = 12.99% + 5.00% = 17.99%, rounded to 18%.
262
The beta used in the Modified Capital Asset Pricing Model is applied to: a) Risk-free rate b) Equity risk premium c) Size premium d) Specific company risk premium
b) Equity risk premium In Modified CAPM, beta is multiplied by the equity risk premium only. The risk-free rate, size premium, and specific company risk premium are added without beta adjustment.
263
Premiums and discounts are generally categorized as being either at the 'shareholder' or 'entity' levels. TRUE / FALSE
TRUE - Business valuation premiums and discounts are commonly discussed at either the entity level (affecting the company as a whole) or the shareholder level (affecting the specific ownership interest).
264
Discounts often fall into which two of the following categories? I. Entity-level discounts (company as a whole) II. Built-in capital gains discounts III. Shareholder-level discounts (specific group of investors) IV. Lack of control discounts a) I & III b) II & IV c) I & II d) III & IV
a) I & III - Entity-level discounts apply to the company as a whole; shareholder-level discounts apply to the specific ownership interest. Built-in capital gains (II) and lack of control (IV) are types within these categories, not the two top-level categories.
265
Which of the following Private Company Transaction Method multiples might be used in a valuation assignment? a) Price to Revenues b) Price to EBITDA c) Price to Seller's Discretionary Earnings d) Price to Book Value e) All of the above
e) All of the above - Under the private company transaction method, appraisers may use price-to-revenues, price-to-EBITDA, price-to-SDE (especially for smaller businesses), and price-to-book depending on the facts and industry.
266
If you are uncomfortable with management's financial forecasts, which is the most appropriate course of action? a) Use industry averages b) Accept the forecasts as management's best conclusion c) Your assignment is to please your client with the best value d) Prepare forecasts with the assistance from management
d) Prepare forecasts with the assistance from management - Management provides the assumptions but the appraiser must evaluate reasonableness and exercise independent professional judgment rather than accepting projections without assessment.
267
After making all normalizing adjustments to the earnings stream, what type of value does the Duff & Phelps Valuation Handbook information produce when applied to a closely-held company? a) Minority interest, on a closely-held marketable basis b) Minority interest, as if freely traded marketable basis c) Control interest, on a closely-held marketable basis d) Control interest, as if freely traded marketable basis
d) Control interest, as if freely traded marketable basis - Normalizing adjustments bring the earnings stream to a control level (removing excess comp, owner perks, etc.). D&P data is derived from public market evidence, producing an as-if-freely-traded indication. Combined: control interest on a freely-traded marketable basis.
268
A reasonable rate of return on intangible assets is generally: a) Higher than the equity discount rate b) Lower than the equity discount rate c) Equal to the equity discount rate d) None of the above
a) Higher than the equity discount rate - Intangible assets are generally considered riskier than overall business equity, so they require a higher rate of return. WARA analyses consistently assign higher rates to intangible assets than to tangible assets.
269
Business appraisers typically use a single specific method to arrive at an indication of value for a non-controlling ownership interest in a privately held business. TRUE / FALSE
FALSE - Business appraisers typically consider more than one method or approach and then reconcile the indications based on the relevance and reliability of each method.
270
The Guideline Public Company Method is used from what information source? a) BizComps database b) Deal Stats database c) Companies actively traded over a public exchange d) Duff & Phelps Risk Premium Report
c) Companies actively traded over a public exchange - The Guideline Public Company Method identifies comparable publicly traded companies and derives valuation multiples from their market prices.
271
Which would be the best reason to use invested capital valuation multiples rather than equity valuation multiples? a) Subject company has considerably higher debt than guideline companies b) Subject company has significantly lower intangible asset values c) Subject company's payables are similar to guideline companies d) Subject company's interest-bearing debt is within 24 months of being paid off
a) The subject company has considerably higher debt than the selected guideline companies - Invested capital multiples are preferred when capital structures differ because they reduce distortion caused by varying levels of debt.
272
Which of the following statements is true about the selection of a valuation method? a) Selection will be based on the operating characteristics of the subject company b) Smaller and less predictable returns make asset-based methods more likely appropriate c) Selection will be based on whether USPAP standards apply d) Selection will be based on whether net income is close to equity cash flow
a) The selection of methods will be based on the operating characteristics of the subject company - The choice depends on the nature of the business including how it earns money, asset intensity, stability of earnings, growth pattern, and available data.
273
How should appraisers handle 'non-operating' items in the valuation of a company when the buyer only wants the operating assets? a) Remove from balance sheet and adjust the final opinion of value b) Remove from balance sheet and state the item contributed nothing of material value c) Re-classify as a company asset with a new value d) Remove from the analysis
d) Remove from the analysis - When the buyer explicitly wants only the operating assets, non-operating items are excluded from the analysis entirely. They do not need to be accounted for separately since the buyer has no interest in them.
274
When the market value of invested capital is the numerator, which is an appropriate measure of profitability? a) Sales b) Cost of goods c) EBITDA d) Earnings before interest and tax
c) EBITDA - Invested capital (enterprise value) multiples must pair with an unlevered operating measure. EV/EBITDA is a standard invested-capital multiple. Sales is a revenue measure (not profitability); COGS is an expense; EBIT can also work but EBITDA is the most commonly tested answer.
275
Duff & Phelps Risk Premium Report warns the user not to use their data when estimating the cost of capital for: a) Finance, real estate, and insurance companies b) Private equity companies c) Overseas companies d) Holding companies
a) Finance, real estate, and insurance companies - These industries are treated as special cases because debt structure, reinvestment patterns, and regulation make standard cost-of-capital applications less straightforward.
276
Using the BizComps, IBA, and/or Deal Stats closely-held database, what type of value does the transaction method produce? a) Control interest, as if freely traded marketable basis b) Control interest, on a closely held marketable (or non-marketable) basis c) Minority interest, as if freely traded marketable basis d) Minority interest, on a closely held marketable (or non-marketable) basis
b) Control interest, on a closely held marketable (or non-marketable) basis - These databases reflect sales of 100% interest in closely-held businesses (whole-company sales), not minority share trades, producing a control-level closely-held indication.
277
Equity valuation multiples were calculated from guideline companies' trailing twelve months (TTM) of financial information. The multiples would best be applied to the subject company's financial measurements for which period? a) Latest fiscal year b) Forecasted calendar year c) Prior 12-month period d) Average of last five years
c) The prior 12-month period of the subject company - TTM multiples from guideline companies should be matched to the same type of period for the subject; prior/trailing 12 months matches TTM methodology.
278
The WACC should be applied to which of the following earnings streams? a) Equity net cash flow b) Gross profit c) Invested capital net cash flow d) None of the above
c) Invested capital net cash flow - WACC represents the blended cost to all capital providers (debt and equity) so it is matched to free cash flow to the firm. Equity net cash flow uses the cost of equity, not WACC.
279
All of the following is true about the income approach, EXCEPT: a) It is equally applicable for minority or control interests b) It is a reasonable approach when valuing under a liquidating premise c) It is the preeminent method when valuing operating companies d) None of the above
b) It is a reasonable approach when valuing under a liquidating premise - A liquidating premise calls for an asset-based/liquidation approach. The income approach is forward-looking and designed for going-concern operating companies, not liquidation scenarios.
280
Discounts for trapped-in capital gains only apply to methods used under the asset approach. TRUE / FALSE
FALSE - Trapped-in capital gains discounts can also be considered during reconciliation of all methods when multiple approaches are weighted. They are not exclusively an asset approach issue, though they most commonly arise in asset-based analyses.
281
A weighted average of historical income streams is one way of predicting the future. TRUE / FALSE
TRUE - Weighted averages of historical income, with more recent periods given greater weight, are a common method for estimating future performance as they emphasize the most current and relevant data.
282
Which statement about the growth rate used in developing a capitalization rate is most accurate? a) Growth rate should include higher or lower growth in the next couple of years b) Growth rate should be consistent with guideline companies c) Growth rate should be a rate that can be sustained for an indefinite period d) Growth rate should approximate growth in the final forecasted year
c) The growth rate should be a rate that can be sustained for an indefinite period of time - The capitalization rate uses a long-term sustainable growth rate that can be maintained into perpetuity, not a short-term projection or transition rate.
283
When using a capitalization of earnings method, which answer would be LEAST important to consider? a) The company is expecting to remain profitable b) The premise of value is going-concern c) The company has been losing money, but is expected to recover d) The company expects future growth to stabilize at a moderate rate
c) The company has been losing money, but is expected to recover - A company currently losing money but expected to recover is better suited to a DCF/forecast-based method. Capitalization of earnings requires stable, maintainable earnings at a normalized level.
284
Which of the following best describes the accrual and cash methods of accounting? a) Accrual recognizes revenues when earned and expenses when incurred b) Cash method records amounts when actual cash transfers occur c) Both a and b combined d) None of the above
c) Both: the accrual method recognizes revenues when earned and expenses when incurred, AND the cash method records amounts when actual cash transfers occur - both definitions together accurately describe the two methods.
285
Which ownership interest requires application of the largest discount for lack of marketability? a) Controlling, marketable b) Non-controlling, marketable c) Non-controlling, non-marketable d) Controlling, non-marketable
c) Non-controlling, non-marketable ownership interest - This level combines lack of control AND lack of liquidity, placing it at the lowest level of value. DLOM is most consistently applied to minority/non-controlling interests.
286
Calculate the intangible asset value ONLY: Forecasted Net Cash Flow = $487,000; FMV Net Tangible Assets = $825,000; Rate for Tangible Assets = 10%; Rate for Intangible Assets = 28%. a) $1,444,643 b) $2,444,643 c) $1,145,932 d) $2,145,932
a) $1,444,643 Calculation: Return on tangibles = $825,000 x 10% = $82,500; Excess earnings = $487,000 - $82,500 = $404,500; Intangible value = $404,500 / 0.28 = $1,444,643.
287
Duff & Phelps Risk Premium Report contains several exhibits for estimating cost of capital. Which exhibits are generally used in the build-up model? a) Exhibits 'A' b) Exhibits 'B' c) Exhibits 'C' d) None of the above
a) Exhibits 'A' - The Exhibit A series provides risk premia over the long-term risk-free rate, which is the format used in the build-up model. Exhibit B series provides premia over CAPM and is used for modified CAPM analysis.
288
One should always forecast out five years. TRUE / FALSE
FALSE - There is no universal five-year rule. The forecast period should fit the facts of the assignment - long enough to capture the company's expected transition to stable conditions, but not longer than can be reasonably supported.
289
Calculate a discount for lack of control (DLOC) using a 44.8% control premium, where DLOC = 1 - (1 / (1 + Control Premium)). a) 28.40% b) 29.20% c) 30.90% d) 55.20%
c) 30.90% Calculation: DLOC = 1 - (1/1.448) = 1 - 0.6906 = 0.3094 = approximately 30.9%.
290
Market evidence regarding control and acquisition premiums are found in which source? a) Mergerstat Review b) Deal Stats and/or BizComps c) Risk Management Associates d) First Research Reports
a) Mergerstat Review - Mergerstat/FactSet M&A data includes deal pricing metrics and acquisition premiums for publicly traded targets. Deal Stats/BizComps cover private transactions; RMA provides financial benchmarking; First Research provides industry overviews.
291
Discounts for lack of marketability are applicable when valuing a majority or minority interest using Duff & Phelps Risk Premium Report data for a closely-held private company. TRUE / FALSE
TRUE - D&P cost-of-capital data is derived from public market evidence (freely-traded basis), so DLOM is not automatically built into the discount rate. A separate DLOM remains applicable for a closely-held company for both majority and minority interests.
292
When using the discounted future earnings method, the forecast period should be long enough: a) To show a minimum of five years of operating results b) To get beyond a cyclical peak and/or trough in operating results c) To show the client the components and assumptions used d) To weather losses in the company's earliest years
b) To get beyond a cyclical peak and/or trough in operating results - The period must capture normalized, mid-cycle performance rather than stopping during a temporary high or low point. There is no universal five-year minimum.
293
Which factor best describes the influence on the size of the discount for lack of control? a) Articles of Incorporation and Bylaws b) Voting rights c) Buy-sell shareholder agreements d) All of the above
d) All of the above - Articles of incorporation/bylaws, voting rights, and buy-sell/shareholder agreements all influence the size of a DLOC by defining the actual rights and restrictions attached to the interest.
294
Assuming a 25% discount rate, 5% long-term sustainable growth rate, and $200,000 of applicable earnings, the capitalized value most likely would be: a) $800,000 b) $1,000,000 c) $666,667 d) $799,997
b) $1,000,000 Calculation: Cap rate = 25% - 5% = 20%; Value = $200,000 / 0.20 = $1,000,000.
295
How can an appraiser handle management's forecasted financial statements that lack credibility? a) Adjust the discount rate higher for added uncertainty b) Develop financial forecasts based on management's input with appraiser's professional judgment c) All of the above d) None of the above
c) All of the above - Both adjusting the discount rate for added uncertainty AND developing revised forecasts with management's input and the appraiser's independent judgment are recognized and appropriate methods.
296
Capitalization rates are: a) Determined by the market b) The same percentage no matter which earnings type c) Roughly three times the prime rate, changed annually d) Set by the IRS annually
a) Determined by the market - Capitalization rates in valuation are market-derived rates of return used to convert an income stream into value. They vary by income type, company risk, and market conditions.
297
Which of the following is NOT a discount that business appraisers typically use? a) Discount for lack of marketability b) Discount for lack of voting rights c) Discount for built-in capital gains d) Discount for contingent liabilities e) Discount for excessive employees
e) Discount for excessive employees - Excessive employees or excessive compensation are handled through normalization adjustments to the financial statements, not as a separate valuation discount.
298
Duff & Phelps Risk Premium Study data is used for which of the following? a) Developing price-to-net income multiples for different size companies b) Determining only the size premiums in the build-up model c) Comparing operating performance for different size companies d) Developing equity risk premiums for different size companies
d) Developing equity risk premiums for different size companies - The study provides equity risk premia, size premia, industry risk premia, and other cost-of-capital inputs. It is not limited to size premiums only and does not provide operating performance comparisons or valuation multiples.
299
Which of the following is NOT one of the four steps of calculating Net Cash Flow? a) +/- Changes in Working Capital b) Add: Income Taxes c) Add: Depreciation and Amortization d) Less: Capital Expenditures
b) Add: Income Taxes - In calculating net cash flow, taxes are subtracted, not added. The correct steps are: start with after-tax earnings, add back D&A, subtract capital expenditures, and adjust for changes in working capital.
300
You were retained to value a 100% interest in a profitable, asset-intensive operating C corp with $250,000 annual sales and 4% annual compound growth. There are a reasonable number of identifiable privately-held transactions. All of the following methods are appropriate, EXCEPT: a) Single-period capitalization method b) Adjusted book-value method c) Guideline public company method d) Direct-market data method
c) Guideline public company method - The company is very small ($250,000 in sales); public companies are typically far larger and not sufficiently comparable to serve as guideline companies, making this method inappropriate for this fact pattern.
301
You are valuing a minority interest. During the management interview you discover the CEO is in poor health with no succession plan. Which of the following would NOT affect your appraisal thought process? a) Standard of value b) Specific company risk premium c) Earnings stream control adjustments d) Premise of value
c) Earnings stream control adjustments - Since the interest being valued is a minority interest, earnings stream control adjustments are not part of the valuation process. The CEO's health affects specific company risk premium and premise of value, but control adjustments apply to controlling interest valuations.
302
Which of the following scenarios allows a business appraiser to determine an indication of value on a non-controlling basis? a) Appraiser calculates non-controlling adjusted income stream and applies the capitalization rate b) Appraiser calculates control adjusted income stream, applies cap rate, and applies an illiquidity discount c) Appraiser calculates control adjusted income stream and applies the cap rate d) None of the above
a) The appraiser calculates the expected non-controlling adjusted income stream and applies the selected capitalization rate - A non-controlling indication requires a non-controlling earnings stream. Using a control-adjusted stream produces a control-level indication; adding only a DLOM does not fix the control-level problem.
303
All of the following are invested capital multiples, EXCEPT: a) Sales b) Earnings before interest and tax (EBIT) c) EBITDA d) Net income (before tax) e) Invested capital net cash flow
d) Net income (before tax) - Net income is an equity-level measure, applicable only to equity holders. Invested capital multiples must pair with unlevered measures available to all capital providers, such as Sales, EBIT, EBITDA, or invested capital cash flow.
304
An indication of value determined through the use of the adjusted book value method falls on which level of value? a) Control interest, as if freely traded, marketable basis b) Control interest, as if not freely traded, non-marketable basis c) Non-control interest, as if freely traded, marketable basis d) Non-control interest, as if not freely traded, non-marketable basis
b) Control interest, as if not freely traded, non-marketable basis - The adjusted book value method uses a closely-held company's actual asset values, producing a control-level value on a closely-held (not freely traded) basis, not a public-market/freely-traded basis.
305
Which of the following best explains the application of the Excess Earnings method? a) Measures the entire value of professional goodwill b) Especially suitable for small manufacturing companies c) Often used to value the goodwill in a business d) Measures the entire value of small businesses
c) Often used to value the goodwill in a business - The excess earnings method separates the return attributable to tangible assets from remaining excess earnings, which are attributed to intangible assets/goodwill.
306
A reasonable rate of return for intangible assets is generally: a) Higher than the company's equity discount rate b) Lower than the company's equity discount rate c) Equal to the company's equity discount rate d) Equal to the company's capitalization rate
a) Higher than the company's equity discount rate - Intangible assets carry more risk than overall business equity, requiring a higher rate of return. WARA analyses consistently assign higher rates to intangible assets versus tangible assets.
307
Which of the following recognizes the effect on the size of the discount for illiquidity? a) Dividend payments b) Pool of potential buyers c) Size of the interest being offered for sale d) All of the above
d) All of the above - Dividend payments (income while awaiting liquidity reduces the discount), pool of potential buyers (broader market = lower discount), and size of interest (larger blocks are harder to sell) all affect the illiquidity discount.
308
Discounts for Lack of Marketability exist in order to convert an indication of value from a freely traded interest value to which of the following: a) Liquidation interest value b) Not freely traded interest value c) Publicly traded interest value d) None of the above
b) Not freely traded interest value - DLOM converts a value indication from a freely traded/marketable basis to a not-freely-traded/non-marketable basis, reflecting that a private or illiquid interest cannot be readily sold.