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Pension Expense - US GAAP
The amortization of net gains/losses is subject to a “corridor test”. Only if the resultant net figure is greater than 10% of the higher of PBO or asset value, should we amortize. Also, watch out for actual v expected returns. US GAAP uses expected returns.
Pension Expense - IFRS
Net interest cost = Opening funded status x discount rate
Actuarial gains and losses are known as remeasurements and are taken directly to equity/OCI and not amortized through the income statement. Remeasurement gains/losses include impact caused by changes to actuarial assumptions (e.g. increase life expectancy) and also include the cumulative difference between actual returns on plan assets and the return recognized within the net interest cost (plan assets x discount rate). Past/prior service costs would be recognized immediately in the income statement, unlike US GAAP where such costs are amortized.
Closing PBO, Closing Plan Assets
Ending PBO = Opening PBO + Service cost + Interest cost - Benefits paid +/- Actuarial adjustments +/- Prior service costs + Employee contribution
Closing Plan Assets = Opening Plan Assets + Actual return on investments + Employer contributions + Employee contributions - Benefits paid
Funded Status, TPPC
Funded Status = FV of Plan Assets - PBO
TPPC = Employer Contributions - Change in Funded Status (End - Bgn)
Current Rate Method
For a selfcontained, independent Sub. - prices, financing in foreign currency
Use Current if IFRS and Hyperinflation (cum. Infl. >100%)
Gains / Losses through BS - Currency Translation Adjustment
Assets / Liabilities at Current
Common Stock at Historical
Income Statement at Average
Dividends at Historical
Exposure limited to Net Asset position
Temporal Method
Highly integrated into parent, functional currency not foreign currency
Use Temporal if US GAAP and Hyperinflation (cum. Infl. >100%)
Gains / Losses through IS -> earnings volatility
Monetary Assets / Liabilities at Current
Non-monetary Assets / Liabilities at Historical
Revenues, SGA at Average
COGS, Depreciation, Dividends at Historical
Exposure limited to Net Monetary Asset position
Equity Method
20-50%, significant influence, Joint Ventures
Calculate BS and IS effect
BS:
Original investment at cost (FMV)
+ Prop. Share of EAT
- Prop. Share of Dividends
- Prop. Share of Extra Depreciation (remaining life)
- Prop. Share of de-recognized profits (Upstream / Downstream)
= Year-end carrying value
IS:
Prop. Share of EAT
- Prop. Share of Extra Depreciation (remaining life)
- Prop. Share of de-recognized profits (Upstream / Downstream)
Upstream / Downstream Sale
Upstream: straightforward -> de-recognise profit from BS and IS
Downstream:
Acquisition Method
>50%, Control
NcI, Goodwill Impairment
Consolidation = BVA + FMVB
Minority / Non-controlling Interests:
After t1 -> balancing plug
Goodwill Impairment:
Effect of accounting method
Net income
Equity
=> Net profit margin would be highest under sign. influence as NI goes up by a lot but revenue stays the same
Goodwill
US GAAP = FULL Goodwill Method
Equity Method = Partial Goodwill
Full Goodwill -> higher intangibles -> higher Assets -> higher Equity -> Debt to Equity Ratio lower => DE ratio higher under partial goodwill

Minority / Non-controlling Interests (Nci)
Share of equity ownership in a subsidiary’s equity that is not owned or controlled by the parent corporation
US GAAP: (1-Ownership) * FV of Acquiree
IFRS: (1-Ownership) * FV of Acquiree Net Assets
Difference between two, same difference like Full goodwill and Partial goodwill
Goodwill impairment
Accruals
Using balance sheet information:
Aggregate accruals = NOAt - NOAt-1
Using Cash Flow information:
Aggregate accruals = NI – (CFO + CFI)
The accruals ratio = aggregate accruals / average NOA
NOA = (Total assets - Cash and short-term investments) - (Total liabilities - Total debt)
High Ratio = high % of accruals which implies less persistent and lower quality earnings
Stock Options / Grants
Stock options = Fari value of options on Grant date and amortized on SL basis over Service Period (period between Grant date and Vesting period)
=> Total compensation expense: [# options x option price (on grant date)] / Service period
Stock grants = Like stock options.
For any compensation expense recognized, the offset is an expense in paid-in capital, which is a stockholders’ equity account. No change to debt-equity-ratio= RE goes down but Paid-in-capital goes up
PC Insurance Ratios
Combined Ratio = Total Insurance Expenses / Net premiums earned
>100% = Underwriting Loss
High Ratio = Soft market = High competition, premiums low
Low Ratio = Hard market = Less competition, premiums higher, better profitability
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Forward Rate Model
[1 + f (j,k)] k = [1 + S(j+k)](j+k) / (1 + Sj)j
Term Structure Models
Valuing Bonds with embedded Options
Callable Bond
Putable Bond
Effect of Vola
Value of a callable bond = Value of a straight bond - Value of call option
Value of a putable bond = Value of a straight bond + Value of put option
Call Price = Max “Ceiling” Price
Put Price = Min “Floor” Price
As interest rate volatility rises:
OAS vs. Z-spread
For call options:
=> ZCall > OASCall
For put options:
=> ZPut < OASPut
If interest rate volatility rises the OAS must decrease for a given callable bond
(and given price); the OAS must increase for a given putable bond. (Vola up, Option Value up, Value of Callable Bond up, smaller OAS to get to market price)
If we hold the price constant, yield constant and then the Z spread will be constant. If volatility changes then the only aspect directly effected is the option value which in turn effects the OAS part (must compensate for option value going up / down): Credit + Liq. Risk.
OAS: Interest rate volatility
OAS = PV so equals Market price
Volatility down:
Formulas / Ratios : Convertible Bond