Principles of Corporate Finance (Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
12th Edition
ISBN: 9781259144387
Author: Richard A Brealey, Stewart C Myers, Franklin Allen
Publisher: McGraw-Hill Education
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Chapter 8, Problem 21PS
Summary Introduction
To compute: The expected return of each stock.
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Assume the following data for a stock: Risk - free rate
market)
==
1.5; beta (size)
=
0.3; beta (book-to-market)
=
5 percent; beta (
=
- 1.1; market
risk premium
1
7 percent; size risk premium
3.7 percent; and book - to
- market risk premium
=
5.2 percent. Calculate the expected return on the
stock using the Fama - French three-factor model.
Using the CAPM, estimate the appropriate
required rate of return for the three stocks
listed here, given that the risk-free rate is 6
percent and the expected return for the
market is 14 percent.
STOCK
ВЕТА
A
0.62
B
1.09
1.48
a. Using the CAPM, the required rate of
return for stock A is
%.
(Round to two decimal places.)
b. Using the CAPM, the required rate of
return for stock B is
%.
(Round to two decimal places.)
c. Using the CAPM, the required rate of
return for stock C is
%.
(Round to two decimal places
The following table shows the sensitivity of four stocks to the three Fama-French factors. Assuming that the interest rate is 4%, the
expected risk premium on the market is 7%, the expected risk premium on the size factor is 3,1%, and the expected risk premium on
the book-to-market factor is 4.3%.
Market
Size
Ford
1.38
-0.21
0.72
Ford
Walmart
Citigroup
Apple
Walmart
0.82
Expected return
%
%
%
%
-0.42
-0.33
Citigroup
1.19
-0.46
0.99
Apple
1.39
Book-to-market
Calculate the expected return on each stock.
Note: Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.
-0.59
-0.72
Chapter 8 Solutions
Principles of Corporate Finance (Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
Ch. 8 - Portfolio risk and return Here are returns and...Ch. 8 - Efficient portfolios For each of the following...Ch. 8 - Sharpe ratio Use the long-term data on security...Ch. 8 - Efficient portfolios Figure 8.11 purports to show...Ch. 8 - CAPM Suppose that the Treasury bill rate is 6%...Ch. 8 - CAPM True or false? a. The CAPM implies that if...Ch. 8 - APT Consider a three-factor APT model. The factors...Ch. 8 - CAPM True or false? Explain or qualify as...Ch. 8 - Portfolio risk and return Look back at the...Ch. 8 - Portfolio risk and return Mark Harrywitz proposes...
Ch. 8 - Portfolio risk and return Ebenezer Scrooge has...Ch. 8 - Portfolio beta Refer to Table 7.5. a. What is the...Ch. 8 - CAPM The Treasury bill rate is 4%, and the...Ch. 8 - Portfolio risk and return Percival Hygiene has IO...Ch. 8 - Cost of capital Epsilon Corp. is evaluating an...Ch. 8 - Prob. 18PSCh. 8 - APT Consider the following simplified APT model:...Ch. 8 - Prob. 20PSCh. 8 - Prob. 21PSCh. 8 - Prob. 22PSCh. 8 - Prob. 23PSCh. 8 - Efficient portfolios Look again at the set of the...
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- he following table shows the sensitivity of four stocks to the three Fama-French factors. Assuming that the interest rate is 5%, the expected risk premium on the market is 8%, the expected risk premium on the size factor is 3.8%, and the expected risk premium on the book-to-market factor is 3.8%. Ford Walmart Citigroup Apple Market 1.43 0.92 1.24 1.44 Size −0.26 −0.37 −0.51 −0.64 Book-to-market 0.67 −0.28 1.04 −1.02 Calculate the expected return on each stock.arrow_forwardUsing the CAPM, estimate the appropriate required rate of return for the three stocks listed here, given that the risk-free rate is 4 percent and the expected return for the market is 17 percent. STOCK BETA A 0.63 B 0.95 C 1.48 a. Using the CAPM, the required rate of return for stock A is B.Using the CAPM, the required rate of return for stock b is C.Using the CAPM, the required rate of return for stock C is (Round to two decimal places.)arrow_forwardThe following table shows the sensitivity of four stocks to the three Fama–French factors. Assume the interest rate is 2%, the expected risk premium on the market is 5%, the expected risk premium on the size factor is 2.9%, and the expected risk premium on the book-to-market factor is 4.7%. Ford Walmart Citigroup Apple Market 1.34 0.74 1.15 1.35 Size −0.17 −0.46 −0.42 −0.57 Book-to-market 0.86 −0.37 0.95 −0.62 Calculate the expected return on each stock. (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.)arrow_forward
- Consider the following information about two stocks (D and E) and two common risk factors (1 and 2) ba 1.6 2.1 Stock D E ba E(R.) 3.1 14.45% 2.1 13.90% a. Assuming that the risk-free rate is 5.5%, calculate the levels of the factor risk premia that are consistent with the reported values for the factor betas and the expected returns for the two stocks. Round your answers to one decimal place Axt Ax b. You expect that in one year the prices for Stocks D and I will be $51 and $39, respectively. Also, neither stock is expected to pay a dividend over the next year. What should the price of each stock be today to be consistent with the expected return levets listed at the beginning of the problem? Round your answers to the nearest cent. Today's price for Stock D: Today's price for Stock E: S Suppose now that the risk premium for Factor 1 that you calculated in Part a suddenly increases by 0.33% 0e, from x to (-0.35%, where is the value established in Part . What are the new expected returns…arrow_forwardSee AttachedSee Attachedarrow_forwardThe data on the expected return of 2 stocks (M and C) along with the economic conditions and their probabilities is attached below Questions : Calculate the expected return for asset M and asset C. Calculate the standard deviation for asset M and asset C. c) If asset M is a market portfolio, while the beta (β) for asset C is 1.25 and the risk-free asset is 6%. What is the required rate of return for asset C according to the CAPM method ?. .arrow_forward
- Consider an investment portfolio that consists of three different stocks, with the amount invested in each asset shownbelow. Assume the risk-free rate is 2.5% and the market risk premium is 6%. Use this information to answer thefollowing questions.Stock Weights BetasChesapeake Energy 25% 0.8Sodastream 50% 1.3Pentair 25% 1.0a) Compute the expected return for each stock using the CAPM and assuming that the stocks are all fairly priced.b) Compute the portfolio beta and the expected return on the portfolio.c) Now assume that the portfolio only includes 50% invested in Pentair and 50% invested in Sodastream (i.e., a twoassetportfolio). The yearly-return standard deviation of Pentair is 48% and the yearly-return standard deviation ofSodastream is 60%. The correlation coefficent between Pentair’s returns and Sodastream’s returns is 0.3 What is theexpected yearly-return standard deviation for this portfolio?arrow_forwardConsider the following information about two stocks (D and E) and two common risk factors (factor 1 and factor 2) Stock Risk factor 1 Risk factor 2 Expected return (%) D 1.2 3.4 13.1 2.6 2.6 15.4 a. Assuming that the risk free rate is 5%, determine the risk premium for factors 1 and 2 that are consistent with the expected returns for the two stocks. You expect that in one year the prices of Stock D and E will be $55 and $36 respectively and pay no dividends. What should be the price of each stock today to be consistent with the expected return levels. b. C. Determine how to you identified if Stock D and E are overvalued, fairly valued and undervalued? d. Suppose the risk premium for factor 1 as computed in (a) increases by 0.25 percent, what will be the new expected return for D and E? e. Suppose the risk premium for factor 1 as computed in (a) decreases by 0.25%, what will be the new expected return for D and E? f. Devise how would you develop a Jensen Index using Arbitrage Pricing…arrow_forwardAssume that the CAPM holds. One stock has an expected return of 8% and a beta of 0.3. Another stock has an expected return of 14% and a beta of 1.5. What is the return-to-risk ratio that CAPM assumes equal across all individual stocks?arrow_forward
- Two stocks, A and B, have beta coefficients of 1.0 and 0.4, respectively. If the expected return on the market is 9 percent and the risk-free rate is 6 percent, what is the risk premium associated with each stock? Round your answers to two decimal places. The risk premium for stock A: The risk premium for stock B: % %arrow_forwardThe market and Stock A have the following probability distributions: Probability Return on market Return on Stock A 0.2 18% 16% 0.3 12% 14% 0.5 10% 11% Calculate the expected rates of return for the market and Stock A. Calculate the coefficient of variation for the market and Stock A (Standard deviation for market is 3.0265% and standard deviation for Stock A is 2.0224%).arrow_forwardPortfolio theory with three assets Estimated covariances between three stocks are shown in the following table. The expected returns for the three stocks are 11% (A), 9% (B) and 4% (C), respectively A B C A 0.0225 0.0030 -0.0009 B 0.0030 0.0100 -0.0012 -0.0009 -0.0012 0.0036 Note: All returns and covariance matrix are on an annual basis A) Calculate the expected return and standard deviation of the portfolio if it is equally split between A and B B) Calculate the expected return and standard deviation of the portfolio if it is equally split between A,B and C C) Compare the portfolio in answer (a) and the portfolio in answer (b) using the sharpe ratio. Assuming the current annual risk-free rate is 3%arrow_forward
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