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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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_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_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_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_forwardSuppose that the average stock has a volatility of 57%, and that the correlation between pairs of stocks is 18%. Estimate the volatility of an equally weighted portfolio with: a. 1 stock b. 30 stocks c. 1,000 stocksarrow_forward
- Consider 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_forwardSuppose that the average stock has a volatility of 53%, and that the correlation between pairs of stocks is 18%. Estimate the volatility of an equally weighted portfolio with: a. 1 stock b. 30 stocks c. 1,000 stocksarrow_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
- Expected return of a portfolio using beta. The beta of four stocks—P, Q, R, and S—are 0.49, 0.81, 1.19, and 1.53, respectively and the beta of portfolio 1 is 1.01, the beta of portfolio 2 is 0.86, and the beta of portfolio 3 is 1.15. What are the expected returns of each of the four individual assets and the three portfolios if the current SML is plotted with an intercept of 4.5% (risk-free rate) and a market premium of 12.0% (slope of the line)? What is the expected return of stock P? (Round to two decimal places.) What is the expected return of stock Q? (Round to two decimal places.) What is the expected return of stock R? (Round to two decimal places.) What is the expected return of stock S? (Round to two decimal places.) What is the expected return of portfolio 1? (Round to two decimal places.) What is the expected return of portfolio 2? (Round to two decimal places.) What is the expected return of portfolio 3?…arrow_forwardSuppose you manage an equity fund with the following securities. Use the following data to calculate the information ratio of each stock. Input Data Vogt Industries Isher Corporation Hedrock, Incorporated Alpha 0.012 0.006 0.016 Beta 0.277 1.015 1.630 Standard Deviation 0.156 0.168 0.181 Residual Standard Deviation 0.117 0.048 0.113 Required: Using the information in the table above, please calculate the information ratio for each stock. (Use cells A5 to D8 from the given information to complete this question.) Vogt Industries Isher Corporation Hedrock, Incorporated Information Ratioarrow_forwarda. Construct a price-weighted index for these three stocks, and compute the percentagechange in the index for the period from T to T + 1. b. Construct a value-weighted index for these three stocks, and compute the percentagechange in the index for the period from T to T + 1. c. Briefly discuss the difference in the results for the two indexes.arrow_forward
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