PRIN.OF CORPORATE FINANCE
13th Edition
ISBN: 9781260013900
Author: BREALEY
Publisher: RENT MCG
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Chapter 22, Problem 23PS
a.
Summary Introduction
To discuss: The effects of increase in PVGO.
b.
Summary Introduction
To discuss: The reasons on whether cost of capital be correct hurdle rate for investments.
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If the interest rate is approximately equal to the growth rate of dividends, the price of a stock will be close to
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a. infinity
O b. It is impossible to tell based on the information above
O c.
100000
O d. 0
A) What expected return should an investor expect from investments in common stock? You are given the following information: Risk free rate of return = 4%; market risk premium = 11%; Beta of the stock (assume CAPM holds) = 0.72.
B) Stock A with beta of 0.8 offers a 11% return while stock B with a beta of 1.2 offers a 15% return. What is the risk-free rate? What is the common market return? Assume CAPM holds.
Problem 1
You are given the following information about stock X and the market portfolio, M:
Riskless Asset (f)
Stock X
Market Portfolio (M)
E(r)
0.04 (4%)
?
0.10
σ
0.00
0.30
0.20
You are not given the expected return of stock X. The correlation of the returns on the stock X and
the market portfolio is equal to 0.4.
a) What is the beta (6) of stock X?
b) Assuming the CAPM holds, what is the expected return on stock X?
c) You have $1,000 to invest in some combination of the risk-free asset, stock X, and the market
portfolio. You are thinking of investing $300 in the risk free asset, $400 in stock X, and $300
in the market portfolio. What is the overall expected return, standard deviation and beta of
this portfolio?
Chapter 22 Solutions
PRIN.OF CORPORATE FINANCE
Ch. 22 - Real options Respond to the following comments. a....Ch. 22 - Prob. 2PSCh. 22 - Real options True or false? a. Real-options...Ch. 22 - Prob. 4PSCh. 22 - Real options Describe each of the following...Ch. 22 - Expansion options Look again at the valuation in...Ch. 22 - Expansion options Look again at Table 22.2. How...Ch. 22 - Prob. 8PSCh. 22 - Timing options Look back at the Malted Herring...Ch. 22 - Prob. 10PS
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- Question 1 Suppose you have the following expectations about the market condition and the returns on Stocks X and Y. Market Condition Probability Return on Stock X Return on Stock Y Bear Market 0.3 -3% -5% Normal Market 0.5 3% 5% Bull Market 0.2 8% 15% a) What are the expected returns for Stocks X and Y, E(rX) and E(rY)? b) What are the standard deviations of the returns for Stocks X and Y, σX and σY?arrow_forwardYou are comparing Stock A to Stock B. Given the following information, what is the difference in the expected returns of these two securities? State of Economy Probability of State of Economy Rate of Return if State Occurs Stock A Stock B Normal .75 .13 .16 Recession .25 −.05 −.21arrow_forwardConsider information given in the table below and answers the question asked thereafter: State Probability return on stock A Return on stock B A 0.15 10% 9% B 0.15 6% 15% C 0.10 20% 10% D 0.18 5% -8% E 0.12 -10% 20% F 0.30 8% 5% i. Calculate expected return on each stock? On the basis of this measure, which stockyou will choose?ii. Calculate standard deviation of the returns on each stock? On the basis of thismeasure, which stock you will choose?iii. Calculate coefficient of variance of the returns on each stock? On the basis of thismeasure, which stock you will choose?arrow_forward
- Problem 2. Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA = 2.00% + 1.10RM + A RB = -0.60% + 0.90RM + eB The R-squared of the estimate for stock A is 0.35 and the R-squared of the estimate for stock B is 0.40. The standard deviation of the market is OM = 30%. Assume you create portfolio P with weights of 120% in A and -20% in B. These weights mean that you go long stock A and short stock B. a) What is the standard deviation of the portfolio? [Hint: R-squared is the variance explained by the market risk B²o divided by the variance in the stock o}.] b) What is the beta of the portfolio? c) What is the firm-specific variance of the portfolio? (Round to 3 decimals.)arrow_forwardK (Expected rate of return and risk) Syntex, Inc. is considering an investment in one of two common stocks. Given the information that follows, which investment is better, based on the risk (as measured by the standard deviation) and return? Common Stock A Probability 0.20 0.60 0.20 Common Stock B Return 13% 17% 18% Probability 0.10 0.40 0.40 0.10 (Click on the icon in order to copy its contents into a spreadsheet.) Return -7% 5% 16% 21% www a. Given the information in the table, the expected rate of return for stock A is 16.40 %. (Round to two decimal places.) The standard deviation of stock A is 1.74 %. (Round to two decimal places.) b. The expected rate of return for stock B is 9.8 %. (Round to two decimal places.) The standard deviation for stock B is 6.12 %. (Round to two decimal places.)arrow_forwardSuppose your expectations regarding the stock price are as follows: State of the Market Probability Ending Price HPR (includingdividends) Boom 0.30 $ 140 53.5 % Normal growth 0.28 110 17.5 Recession 0.42 80 −12.0 Use the equations E(r)=Σsp(s)r(s)E(r)=Σsp(s)r(s) and σ2=Σsp(s) [r(s)−E(r)]2σ2=Σsp(s) [r(s)−E(r)]2 to compute the mean and standard deviation of the HPR on stocks. (Do not round intermediate calculations. Round your answers to 2 decimal places.)arrow_forward
- b) Suppose that you observe the following information in Table 2 for stocks A and B: Table 2 Expected Return (%) 11% Stock Beta A 0.8 В 14% 1.5 The risk-free rate of return is 6% and the expected rate of return on the market index is 12%. Using the Single-Index Model, calculate the alpha of both stocks. Show your calculations. Explain what the alpha of the single-factor model represents and interpret your results.arrow_forwarda. If your required rate of return is 7.60percent, what is the value of the stock for you? b. Should you make the investmentarrow_forwardThe beta coefficient A stock’s contribution to the market risk of a well-diversified portfolio is called Q1. ______risk. It can be measured by a metric called the beta coefficient, which calculates the degree to which a stock moves with the movements in the market. Q2. Based on your understanding of the beta coefficient, indicate whether each statement in the following table is true or false: Statement True False Over time, a stock with a beta of 1.0 produces a return that goes up and down with a 1:1 relationship with the return on the market. Beta measures the volatility in stock movements relative to the market. A stock that is more volatile than the market will have a beta of less than 1.0. Q1. Option 1 Unsystematic or Option 2 Relevant. Please provide true or false answers. Thank you!arrow_forward
- a. Based on the following information, calculate the expected return and standard deviation for each of the following stocks. What are the covariance and correlation between the returns of the two stocks? Calculate the portfolio return and portfolio standard deviation if you invest equally in each asset. Returns State of Economy Prob K Recession 0.25 -0.02 0.034 Normal 0.6 0.138 0.062 Boom 0.15 0.218 0.092 b. A portfolio that combines the risk-free asset and the market portfolio has an expected return of 7 percent and a standard deviation of 10 percent. The risk-free rate is 4 percent, and the expected return on the market portfolio is 12 percent. Assume the capital asset pricing model holds. What expected rate of return would a security earn if it had a .45 correlation with the market portfolio and a standard deviation of 55 percent? c. Suppose the risk-free rate is 4.2 percent and the market portfolio has an expected return of 10.9 percent. The market portfolio has a variance of…arrow_forwardSuppose you observe the following situation: Probability of State 0.35 0.40 0.25 State of Economy Recession Normal Irrational exuberance Stock A Stock B Expected Return Rate of Return if State Occurs Stock B % Stock A a. Calculate the expected return on each stock. (Round the final answers to 2 decimal places.) -0.11 0.10 0.45 -0.09 0.10 0.25 b. Assuming the capital asset pricing model holds and stock A's beta is greater than stock B's beta by 0.65, what is the expected market risk premium? (Do not round intermediate calculations. Round the final answer to 2 decimal places.) Expected market risk premiumarrow_forwardSuppose that many stocks are traded in the market and that it is possible to borrow at the risk-free rate, rf. The characteristics of two of the stocks are as follows: Correlation = -1 Stock Rate of return B O Yes ● No Expected Return Required: a. Calculate the expected rate of return on this risk-free portfolio? (Hint: Can a particular stock portfolio be formed to create a "synthetic" risk-free asset?) (Round your answer to 2 decimal places.) % 6% 12% Standard Deviation 25% 75% b. Could the equilibrium rf be greater than rate of return?arrow_forward
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