With most investments, an individual or business spends money today, expecting to earn even more in the future. However, most investments are risky.
Return on Investments
The concept of return provides investors with a convenient way to express the financial performance of an investment.
To make a meaningful judgment about the return
The scale (size) of the investment must be known
The timing of the return must be known
Solution for scale and timing problems
Express investment results as rates of return, or percentage returns
Risk
A probability or threat of damage, injury, liability, loss, or any other negative occurrence caused by external or internal vulnerabilities that may be avoided through preemptive action
Analyzing an asset's risk
On a stand-alone basis, where the asset is considered in isolation
As part of a portfolio, which is a collection of assets
Probability Distributions
A listing of possible outcomes or events with a probability assigned to each outcome
Expected Rates of Return, 𝑟̂ ("r hat")
The rate of return expected to be realized from an investment; the weighted average of the probability distribution of possible results
StandardDeviation, 𝜎 (sigma)
A statistical measure of the variability of a set of observations
Standard Deviation, ��
Useful to measure risk for comparative purposes
The smaller the standard deviation, the tighter the probability distribution, and the lower the risks
Measures how far the actual return is likely to deviate from the expected return
Historical, or Past Realized, Rates of Return, 𝑟 ("r bar")
The mean and standard deviation can be computed based on a subjective probability distribution
Coefficient of Variation (CV)
The risk per unit of return, providing a more meaningful risk measure when the expected returns on two alternatives are not the same
Sharpe Ratio
Compares the asset's realized excess return to its standard deviation over a specified period
Risk-averse investors
Dislike risk and require higher rates of return as an inducement to buy riskier securities
Risk Premium (RP)
The difference between the expected rate of return on a given risky asset and that on a less risky asset
The risk of a stock in a "portfolio" is typically lower than its risk when it is held alone
Expectedreturn on a portfolio (𝒓̂𝒑
)
The weighted average of the expected returns of the individual assets in the portfolio, with the weights being the percentage of the total portfolio invested in each asset
Beta Coefficient
Measures the relevant risk that remains once the stock is in a diversified portfolio and contributes to the portfolio's market risk
Relevant Risk
The risk that remains once the stock is in a diversified portfolio and contributes to the portfolio's market risk. It is measured by the extent to which the stock moves up or down with the market.
Diversified Risk
The part of a security's risk associated with random events; it can be eliminated by proper diversification. This risk is also known as company-specific or unsystematic risk.
Market Risk
The risk that remains in a portfolio after diversification has eliminated all company-specific risk. This risk is also known as nondiversifiable or systematic, or beta risk.
The tendency of a stock to move with the market is measured by its beta coefficient, b. Analysts often use historical data and assume that the stock's historical beta will give them a reasonable estimate of how the stock will move relative to the market in the future.
Market value of equity
Share price of common stock multiplied by the number of shares outstanding
Market value of debt
Assumes the company's debt is trading at par, so the market value of debt equals the book value of debt
Target Capital Structure
The mix of debt, preferred stock, and common equity the firm plans to raise to fund its future projects
Market value of equity
Number of shares of stock outstanding multiplied by the current stock price
Capital components
Debt
Preferred stock
Common equity
Increases in capital components must finance increases in assets
Weighted Average Cost of Capital (WACC)
The weighted average of debt, preferred stock, and common equity component costs
Before-tax component cost of debt
The interest rate on the firm's new debt
After-tax component cost of debt
The interest is tax-deductible, so the after-tax cost of debt is lower than its before-tax cost
Cost of Debt
The interest rates a firm must pay on its new debt
The after-tax cost of debt was used in calculating the WACC because the target is to maximize the value of the firm's stock
Cost of preferred stock
The rate of return investors require on the firm's preferred stock
Cost of retained earnings
The rate of return required by stockholders on a firm's common stock
Cost of retained earnings, 𝑟𝑠
The rate of return required by stockholders on a firm's common stock
Retained earnings should be "free" because they represent "leftover" money after dividends are paid
Weighted average cost of capital (WACC)
Calculates a firm's cost of capital from all sources, including common and preferred stock, bonds, and other forms of debt
If interest rates in the economy rise
The cost of debt increases because the firm must pay bondholders more when it borrows
If stock prices decline, pulling the firm's stock price down