财务分析与证券定价(英文)chapter20
财务分析与证券定价(英文)chapter20
Chapter 20
The Analysis of Equity Risk
and the Cost of Capital
Links
What you will learn from this chapter
The precise measures of the cost of capital are difficult to calculate
What risk is
How business investment can yield extreme (high and low) returns
How diversification reduces risk
Problems with using standard Capital Asset Pricing Model and other
beta technologies
The difference between fundamental risk and price risk
The determinants of fundamental risk
The determinants of price risk
What you will learn from this chapter (cont1>.)
How fundamental analysis protects against price risk
How pro forma analysis can be adapted to prepare value-at-risk profiles
How fundamentals help to measure predicted betas
The Nature of Risk
Value is determined by expected payoffs discounted for risk
Risk is determined by the likelihood of getting payoffs that are different from the expected payoff
Risk is characterized by the set of possible outcomes that an investor faces and the probabilities of these outcomes: a return distribution
Models of the Distribution of Returns:
The Normal Distribution
Best and Worst Performers, 1996: Wall Street Journal Shareholder Scorecard
The Actual Distribution of Annual Stock Returns
-100%
100%
-47%
13%
73%
2 sd
-2 sd
0 sd
Annual Return
Probability
Diversification and Risk: the Effect on Standard Deviation from
Adding More Securities to a Portfolio
The Normal Distribution for the S&P 500 Portfolio
Mean annual return = 13%
Standard deviation of returns = 20%
The Actual Distribution of S&P 500 Portfolio Annual Returns,
1926-98
Number of Times Observed
Source: Based on data from the Center for Research in Security Prices,
University of Chicago
The Problems with “Asset Pricing Models”
Risk factors are hard to identify
Risk premiums on risk factors are hard to measure
Often assume normal distributions of return The CAPM is “Seductively Precise”
Normally distributed stock returns are assumed The market risk premium is a big guess
Is it 3?%, 4?%, 8%, or 9?%?
Has the market risk premium declined in the 1990s? Betas are estimated with error
Estimates of the cost of capital are made from market prices and assume
that the market is efficient
Fundamental Risk
Risk is determined by a firm’s business activities and so is
understood by analyzing those activities
A basic distinction: operating and financing risk A Framework for Analysis of Fundamental Risk Risk is the chance of earning poor residual earnings Profitability Risk: The Chance of Getting Poor ROCE The Analysis of Fundamental Risk
The Analysis of Operating Risk
RNOA = PM x ATO
The Drivers of Operating Risk
PM Risk
ATO Risk
OLLEV Risk
Expensive Risk
OLLEV Risk
The Analysis of Financing Risk The Drivers of the Financing Premium:
Financial Leverage (FLEV) Risk
Borrowing Cost Risk
The Analysis of Growth Risk
Sales Risk
Sales risk is the primary business risk Compounding Risk Factors Produce Extreme Returns
A drop in sales is compounded by PM risk, ATO risk, FLEV risk and NBC
risk
The effect of a drop in sales is magnified by expense risk
The effect of a drop in sales is magnified by operating level risk
The effect of a drop in sales is magnified by asset turnover risk
The effect of a drop in sales is magnified by OLLEV risk
The effect of a drop in sales is magnified by FLEV risk
The effect of a drop in sales is magnified by borrowing cost risk
Value-at-Risk Profiles
Value-at-Risk Profiles are prepared using pro formas for different scenarios. The outcomes in these pro formas are determined by the risk factors
Steps to prepare Value-at-Risk Profiles
Identify economic factors that affect the risk drivers
Identify risk protection mechanisms in place within the firm
Identify the effect of economic factors on the fundamental risk drivers
Prepare pro forma financial statements under alternative scenarios for the fundamental risk drivers in the future
Calculate projected residual operating income for each scenario and, from these projections, calculate the set of values from the scenarios
Value-at-Risk Profile: Firm A
Value-at-Risk Profile: Firm B
Value-at-Risk Profiles: Firm A and B
Historical Betas
Betas revert towards their average of 1.0
Investors are interested in the future beta over the period they hold the investment. High and low historical betas tend to move closer to 1.0 subsequently in time.
A rough rule for forecasting future betas from historical betas:
This adjustment pulls bets towards 1.0.
Fundamental Betas: Forecasting Future Betas from Fundamentals
Two steps:
Estimate relationship between historical betas and fundamental attributes (say, FLEV and OLLEV, for example) in the cross section
Use estimates of b0, b1, and b2 to predict future beta for a firm with
the most recent measure of the fundamentals for that firm Some Fundamental Measure that have been Used to Predict Betas Earnings variability
Cash flow variability
Size
Growth in earnings or sales
Growth in assts
P/E ratio
P/B ratio
Dividend yield
Scenario Planning and Pro Forma Analysis
Pro forma analysis can be used to model outcomes for different
planning scenarios. Investigate, for example,
Adaptation Options
Growth Options
Strategic Risk Management Options
Different future paths can be articulated with pro forma analysis and the value of the path calculated.
Price Risk and Fundamental Risk
Fundamental Risk is the risk of value not being realized because of fundamental factors that affect the firms’ activities
Price Risk is the risk of value not being realized in prices because of factors other than fundamentals
Price Risk
Market Inefficiency Risk
The market price may not reflect the “fundamental value”
Scenario A risk
Scenario B risk
Fundamental analysis reduces Scenario A risk, but Scenario B risk
can still affect a diligent fundamental investor
Liquidity Risk
Liquidity Risk is the risk of not finding a buyer or seller at the fundamental price
Liquidity discounts
Mechanisms to reduce liquidity risk
Brokers
Market makers
Investment banks (“deal makers”)
The fees of these specialists are the costs of reducing the liquidity discount
Inferring Cost of Capital from Market Prices
Given an estimate of growth (g), the cost of capital can be estimated from prices and forecasts of earnings
Relative Value Analysis: Evaluation firms within a Risk Class
Risk value ratios for firms in same risk class:
A relative value ratio of 1.0 implies no arbitrage.
Perceived Risk
Building in a Margin of Safety
Use a high discount rate in evaluating a BUY; use a low discount rate in evaluating a SELL
Be conservative (for a BUY) or optimistic (for a SELL) in forecasting The Analyst’s Checklist
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