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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Textbook Question
Chapter 7, Problem 23PS
Beta Calculate the beta of each of the stocks in Table 7.9 relative to a portfolio with equal investments in each stock.
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Consider the three stocks in the following table. Pt represents price at time t, and Qt represents shares outstanding at time t. Stock C splits two for one in the last period.
a. A market-value-weighted index. rate of returnb. An equally weighted index. rate of return
financial advisor evaluates four stocks for inclusion in an investor's portfolio. A orrelation matrix showing each stock's correlation with the other stocks is shown below Stock ALK CMN BTY DLE ALK 0.40 0.58 1.00 -0.25 BTY 0.40 1.00 0.16 -0.04 CMN -.25 .16 1.00 .37 DLE .58 .04 .37 1.00 f the goal is to reduce the investor's overall portfolio risk, which two stocks should the advisor recommend? a. ALK and DLE b. ALK and CMN c. BTY and DLE BTY and CM
Given the following information on five stocks, construct: a. A simple price-weighted average b. A value-weighted
average c. A geometric average d. What is the percentage increase in each average if the stock prices change to those in
Column I? e. What is the percentage increase in each average if the stock prices change from those in the Price column to
those in Column II? f. Why were the percentage changes different in parts (d) and (e)? g. If you were managing a fund and
wanted a source to compare your results to, which of the three averages would you prefer to use, and why?
Stock Price
# of Shares I
II
A
B
C
D
E
F
$12.00 150,000
$14.00
125,000
$11.00 200,000
$ 22.00 80,000
$8.00
30,000
$29.00 140,000
$12.00
$12.00
$14.00 $14.00
$20.00 $11.00
$ 22,00 $ 22.00
$8.00
$15.00
$29.00 $29.00
Chapter 7 Solutions
Principles of Corporate Finance (Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
Ch. 7 - Expected return and standard deviation A game of...Ch. 7 - Standard deviation of returns The following table...Ch. 7 - Average returns and standard deviation During the...Ch. 7 - Portfolio risk True or false? a. Investors prefer...Ch. 7 - Risk and diversification In which of the following...Ch. 7 - Portfolio risk To calculate the variance of a...Ch. 7 - Portfolio betas Suppose the standard deviation of...Ch. 7 - Portfolio betas A portfolio contains equal...Ch. 7 - Prob. 9PSCh. 7 - Prob. 10PS
Ch. 7 - Stocks vs. bonds Each of the following statements...Ch. 7 - Prob. 12PSCh. 7 - Prob. 13PSCh. 7 - Portfolio risk Hyacinth Macaw invests 60% of her...Ch. 7 - Portfolio risk a) How many variance terms and how...Ch. 7 - Portfolio risk Table 7.9 shows standard deviations...Ch. 7 - Portfolio risk Your eccentric Aunt Claudia has...Ch. 7 - Stock betas There are few, if any, real companies...Ch. 7 - Portfolio risk You can form a portfolio of two...Ch. 7 - Portfolio risk Here are some historical data on...Ch. 7 - Portfolio risk Suppose that Treasury bills offer a...Ch. 7 - Beta Calculate the beta of each of the stocks in...
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- 1- Calculate the beta adjusted by the degree of freedom for stock X relative to the equity market using the information from the table (performance): Year X Market 1 -7 7 2 -11 15 3 21 20 4 15 17 5 8 10 6 9 7 7 -2 -1arrow_forwardFollowing is information for two stocks: Investment r σ Stock X 8% 10% Stock Y 24% 36% Which stock has the greater relative risk? (show the computation of the relative risk for X & Y.)arrow_forwardSuppose the beta estimated from the CAPM for stock A is 2.3 and stock B is 1.1. What is the beta of an equally weighted stock portoflio of A and B stock?arrow_forward
- Beta Amt. Invested Stock A 1.03 $1,561 Stock B 0.98 $3,090 Stock C 1.37 $1,759 The table above contains the Betas and the amount invested in each stock in a given portfolio. Assuming that these are the only three stocks in the portfolio, calculate the beta of the portfolio.arrow_forwardAstromet is financed entirely by common stock and has a beta of 1.20. The firm pays no taxes. The stock has a price-earnings multiple of 11.0 and is priced to offer a 10.9% expected return. The company decides to repurchase half the common stock and substitute an equal value of debt. Assume that the debt yields a risk-free 4.6%. Calculate the following: Required: a. The beta of the common stock after the refinancing b. The required return and risk premium on the common stock before the refinancing c. The required return and risk premium on the common stock after the refinancing d. The required return on the debt e. The required return on the company (i.e, stock and debt combined) after the refinancing If EBIT remains constant: f. What is the percentage increase in earnings per share after the refinancing? g-1. What is the new price-earnings multiple? g-2. Has anything happened to the stock price? Complete this question by entering your answers in the tabs below. Reg A to E Reg F to G2…arrow_forwardThe following questions are based on the given information from table of probabilitydistributions of returns on investment individual shares and portfolio below:Table 3: Probability distributions of returns on investment for individual shares and portfolio. State ofEconomy Probabilityof theStates Return onShare A(rA) Return onShare B(rB) Return on Portfolio AB(rAB)1 0.20 15% -5% 5%2 0.20 -5% 15% 5%3 0.20 5% 25% 15%4 0.20 35% 5% 20%5 0.20 25% 35% 30% Given: By using the above information, demonstrate the rate of risk (variance and standarddeviation) for each of:(i) Share A (ii) Share B (iii) Portfolio A and Barrow_forward
- a. Calculate the expected return for Stock media Prima and Stock Astro 2. Calculate the standard deviation for Stock media Prima and Stock Astro 3. Calculate the covariance and correlation of coefficient for the above stock.arrow_forwardCalculated the expected return of each stockarrow_forwarda. What is the expected return for each stock b. What is the standard deviation for each stock, the expected return of the portfolio of the two stocks using the various percentages allocated to each (50%-50%, 75%-25%, 25%-75%)arrow_forward
- The return of stock B is __% The volatility of stock A is __% The volatility of stock B is __%arrow_forwardConsider the following probability distribution for stocks A and B: State Probability Return on Stock A Return on Stock B 1 0.10 10% 8% 2 0.20 13% 7% 3 0.20 12% 6% 4 0.30 14% 9% 5 0.20 15% 8% The coefficient of correlation between A and B is:arrow_forwarda) Share X and Share Y have the following returns with their respective probabilities. Share X Share Y Return Probability Return Probability 10% 0.3 15% 0.35% 0.31% 0.4-4% 0.4-10% 0.3 Calculate the following: i) The expected rate of returns for both shares. ii) The standard deviation for both shares. ii) On a stand-alone basis, select which stock is the riskier..arrow_forward
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