Future value of a dollar depends on
1) How much you’re investing now
2) The expected annual return
3) How many years is the “future” (the length the money will be invested)
Present value of a dollar depends on
1) What is the future value
2) What is the interest rate (discount rate)
3) How long will the money be invested
To find present value, you need to know
The future value, and vice versa
Rule of 72
Divide 72 by the interest rate of the investment
Net present value measures
The difference between an investment’s present value and its current market value
You want to recommend a security whose present value is
Higher than its market value (A positive NPV)
If the market value is above the present value,
It is a negative NPV and it may not be a favorable recommendation
NPV is expressed as a
Dollar amount
When the bond’s PV and market price are equal, the NPV is
Zero, which means the bond is properly priced
Internal Rate of Return is the
Discount rate that makes the future value of an investment equal to its present value
IRR is mostly used for investments with predictable cash flows and set maturity dates such as
Bonds
Calculates long-term returns, factoring in the time value of money
Internal rate of return
In an efficient market, bonds should be priced so
That their NPV is zero
Always shown as a percentage %
IRR
Beta measures the variability between
A particular stock or portfolio’s movement and that of the market in general
A beta of 1.00 means the stock has market risk
Similar to the market as a whole
The risk that beta measures
Systematic risk
Safest pick for a conservative investor would be one with
The lowest beta
To calculate expected return with beta
Market return x beta = expected return
When positive alpha is achieved, investment performance has
Exceeded what was expected based on the risk level or volatility
Formula for calculating alpha
(Actual portfolio return - risk-free rate) - (portfolio beta) x (market return - risk-free rate)
Example of calculating alpha
Portfolio return: 10%, risk-free rate: 2%, market return rate: 8%, beta: 1.2%
(10 -2) = 8%
(1.2 x (8-2) = 1/2 x 6 = 7.2
8 - 7.2 = 0.8%
Measures how much an investment’s returns vary from its average returns
Standard deviation
The greater the variation from the average (mean)
Returns the higher the volatility