PRIN.OF CORPORATE FINANCE
13th Edition
ISBN: 9781260013900
Author: BREALEY
Publisher: RENT MCG
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Chapter 9, Problem 2SQ
(AVERAGE, VAR.P and STDEV.P) Now calculate the annualized variance and standard deviation for a portfolio that each month has equal holdings in the two stocks. Is the result more or less than the average of the standard deviations of the two stocks? Why?
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Here are the returns on two stocks.
A. Calculate the variance and standard deviation of each stock. Which stock is riskier if held on its own?
B. Now calculate the returns in each month of a portfolio that invests an equal amount each month in the two stocks
C. Is the variance more or less than halfway between the variance of the two Individual stocks?
(c)
Consider information given in the table below and answers the question asked thereafter:
i. Calculate expected return on each stock? On the basis of this measure, which stock you will choose?ii. Calculate standard deviation of the returns on each stock? On the basis of this measure, which stock you will choose?iii. Calculate coefficient of variance of the returns on each stock? On the basis of this measure, which stock you will choose?iv. Calculate covariance and coefficient of correlation between the returns of the stocks A and B.v. Now suppose you have $100,000 to invest and you want to a hold a portfolio comprising of $35,000 invested in stock A and remaining amount in stock B. Calculate risk and return of your portfolio.
(d)
Firm A reports a Profit Margin of 6.5% and a Total Asset Turnover Ratio of 3.25. Their total asset level is $8,500,000. Assume there are 700,000 shares outstanding and the PE ratio is 11. Also, assume the Return on Equity is 16%. Based on this, calculate…
Assume that the covariance between Stock A and Stock B is -28%^2 (0.0028). Compute the expected rate of return and variance of rate of return of Donald’s portfolio.
Chapter 9 Solutions
PRIN.OF CORPORATE FINANCE
Ch. 9 - (VAR.P and STDEV.P) Choose two well-known stocks...Ch. 9 - (AVERAGE, VAR.P and STDEV.P) Now calculate the...Ch. 9 - (SLOPE) Download the Standard Poors index for the...Ch. 9 - Definitions Define the following terms: a. Cost of...Ch. 9 - True/false True or false? a. The company cost of...Ch. 9 - Company cost of capital Quark Productions (Give...Ch. 9 - Company cost of capital The total market value of...Ch. 9 - Company cost of capital You are given the...Ch. 9 - Company cost of capital Nero Violins has the...Ch. 9 - WACC A company is 40% financed by risk-free debt....
Ch. 9 - WACC Binomial Tree Farms financing includes 5...Ch. 9 - Prob. 10PSCh. 9 - Measuring risk The following table shows estimates...Ch. 9 - Prob. 12PSCh. 9 - Asset betas Which of these projects is likely to...Ch. 9 - Asset betas EZCUBE Corp. is 50% financed with...Ch. 9 - Prob. 15PSCh. 9 - Prob. 16PSCh. 9 - Prob. 17PSCh. 9 - Fudge factors John Barleycorn estimates his firms...Ch. 9 - Prob. 19PSCh. 9 - Prob. 20PSCh. 9 - Certainty equivalents A project has a forecasted...Ch. 9 - Certainty equivalents A project has the following...Ch. 9 - Prob. 23PSCh. 9 - Beta of costs Suppose that you are valuing a...Ch. 9 - Fudge factors An oil company executive is...
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- Suppose the index model for stocks A and B is estimated with the following results:rA = 2% + 0.8RM + eA, rB = 2% + 1.2RM + eB , σM = 20%, and RM = rM − rf . The regressionR2 of stocks A and B is 0.40 and 0.30, respectively. Answer the following questions. (a) What is the variance of each stock? (b) What is the firm-specific risk of each stock? (c) What is the covariance between the two stocks?arrow_forwardA person is interested in constructing a portfolio. Two stocks are being considered. Letx = percent return for an investment in stock 1, and y = percent return for an investment instock 2. The expected return and variance for stock 1 are e(x) = 8.45% and Var(x) = 25.The expected return and variance for stock 2 are e(y) = 3.20% and Var(y) = 1. Thecovariance between the returns is sxy = −3.a. what is the standard deviation for an investment in stock 1 and for an investment instock 2? Using the standard deviation as a measure of risk, which of these stocks isthe riskier investment?arrow_forwardSuppose the index model for stocks A and B is estimated with the following results: rA = 2% + 0.8RM + eA, rB = 2% + 1.2RM + eB, σM = 20%, and RM = rM − rf . The regression R2 of stocks A and B is 0.40 and 0.30, respectively. Answer the following questions. Total: (a) What is the variance of each stock? (b) What is the firm-specific risk of each stock? (c) What is the covariance between the two stocks?arrow_forward
- Suppose the index model for stocks A and B is estimated with the following results:rA = 2% + 0.8RM + eA, rB = 2% + 1.2RM + eB , σM = 20%, and RM = rM − rf . The regressionR2 of stocks A and B is 0.40 and 0.30, respectively.(a) What is the variance of each stock? (b) What is the firm-specific risk of each stock? (c) What is the covariance between the two stocks?arrow_forwardThe probability distribution of returns for the two stocks X and Y are as follows: Probability 0.1 0.3 0.05 0.25 0.15 0.15 For each of the two stocks, calculate: a. The expected return. b. Variance of returns c. Volatility of returns. Stock X 0.05 -0.1 0.08 -0.08 0.20 0.12 Return Stock Y 0.13 0,04 -0.12 0.21 0.1 -0.05arrow_forwardWhat is the average annual return? b. What is the variance of the stock's returns? c. What is the standard deviation of the stock's returns? Note: Notice that the average return and standard deviation must be entered in percentage format. The variance must be entered in decimal format. Year 1 2 3 4 Return (%) Year1: -4.1% Year2: 27.6% Year 3: 12.3% Year 4: 3.6%arrow_forward
- (a) Calculate the expected rate of return, variance and standard deviation of Stock X & Stock Y. (b) Assume that the covariance between Stock X and Stock Y is -0.005. Calculate the expected rate of return, variance and standard deviation of Jenny’s portfolio. {Hint: you can express your answers for the variance and standard deviation in decimals or percentage form:• For decimals, the covariance in your equation should be -0.005• For percentage, the covariance in your equation should be -50%2(= -50/10000)] (c) Explain why, in general, the portfolio risk is lower than the weighted average of individual stocks’ risk. (d) Suppose the risk-free rate is 4%, the market risk premium is 15% and the betas for stocks X and Y are 1.2 and 0.2 respectively. Using the CAPM model, estimate the required rates ofreturn of Stock X and Stock Y. (e) Given the results above, are Stocks X and Y overpriced or underpriced? Explain.arrow_forwardCalculate the correlation coefficient for the portfolio using the following information: Variance of Stock X 0.08 Variance of Stock Y 0.06 Covariance is 0.05 a. 0.1042 b. 0.7217 c. 0.00024 d. 0.0693arrow_forwardA challenge we run into when forecasting future stock returns is that stock returns compound. So, when using historical averages to forecast the future, we need to average together the arithmetic and geometric average returns using Blume's Formula: R(T) = T GeoAvg + NT Arith Avg N-1 In this formula, N is the number of historical annual returns you are using to calculate your averages and T is the number of future annual returns you are forecasting. Suppose you gather the following prices for a stock in order to calculate the last 10 (N = 10) annual returns. The stock does not pay dividends. Time 0 1 Time 0 calculate the last 10 (N=10) annual returns. The stock does not pay dividends. 1 2 3 4 5 10 6 . 7 8 9 10 Price $23.16 $32.81 Price $23.16 $32.81 $33.63 $36.83 $41.95 $41.04 $33.83 $37.45 $30.56 $29.90 $47.93 Using Blume's formula, what is the expected return per year for the next 4 years (T = 4)? Enter your answer as a percentage, rounded to the nearest 0.0001. For example, for…arrow_forward
- From the information attached below, calculate: a. the average stock return from 20x1- 20x3. b. The standard deviation over the same period.arrow_forwardhow do you calculate a stocks average monthly return,its return variance ,standard deviation and beta? what is the formulaarrow_forward2. Let random variables A and B be the monthly returns of stocks A and B, respectively. Let C be the monthly returns of Crude Oil Index (WTI). Suppose p(A,C) = correlation between A and C= 0.50 p(B,C) = correlation between B and C= -0.45 • p(A,B) = correlation between A and B = -0.15 o(A) = standard deviation of A = 0.45 o(B) = standard deviation of B = 0.75 o(C) = standard deviation of C= 0.55 Moreover, suppose you decided to form a portfolio D, which invests 60% in stock A and 40% in stock B. Let random variable D be the monthly returns of portfolio D. a. b. C. Y : Determine the covariances between (i.) A and C, (ii.) B and C, and, (iii.) A and B. Compute for the covariance between C and D. Compute for the expected standard deviation of D.arrow_forward
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