INVESTMENTS(LL)W/CONNECT
11th Edition
ISBN: 9781260433920
Author: Bodie
Publisher: McGraw-Hill Publishing Co.
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Chapter 7, Problem 17PS
Summary Introduction
To choose: Select the best option
Introduction: The coefficient of variation is also called as relative standard deviation. The coefficient of variation is a measure of relative dispersion and is used in comparing the risk associated with the
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The index model for stock A has been estimated with the following result:
RA = 0.01 + 0.9RM + eA.
If σM = 0.25 and R2A = 0.25, the standard deviation of return of stock A is:
Given:
Calculate the expected returns and expected standard deviations of a two-stock portfolio having a correlation coefficient of 0.70 under the following conditions
a. w1 = 1.00
b. w1 = 0.75
c. w1 = 0.50
d. w1 = 0.25
e. w1 = 0.05
Plot the results on a return-risk graph. Without calculations, draw in what the curve would look like first if the correlation coefficient had been 0.00 and then if it had been −0.70.
The index model has been estimated for stock A with the following results:
RA = 0.01 + 1.2RM + eA.
σM = 0.15; σ(eA) = 0.10. The standard deviation of the return for stock A is
Chapter 7 Solutions
INVESTMENTS(LL)W/CONNECT
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- 3. The correlation coefficients between pairs of stocks are as follows: Corr(W,X)=0.40, Corr(W,Y)=0.60, Corr(W,Z)=0.80. Each of the stocks W, X, Y, Z has an expected return of 10% and a standard deviation of 25%. If your entire portfolio consists of Stock W, and you can add a bit of only one stock to your portfolio (from X, Y, and Z), which would you choose? Back up your answer with numbers. Suppose that in addition to investing in one more stock, you can also invest in T-bills. Would that change the answer to the above question (which of X, Y, and Z to add to your risky stock W) if the T-bill rate were 8%? Explain why or why not. If the T-bill rate were 10%, what would your optimal portfolio be?arrow_forwardAssume that you run a regression on the raw returns of the stock of Company J against the raw returns of the market and find an intercept of 1.324 percent and a beta of 2.36. If the risk-free rate is 2.64 percent, and using the concept of Jensen's Alpha, then determine by how much this stock beat the market. Answer in decimal format. For example, if you answer is 3.33%, enter "0.0333"arrow_forwardYou have two stocks. Stock A has a beta of 0.2, stock B has a beta of 0.7. If you want to form a portfolio using the two stocks so that the portfolio's beta is zero, then the portfolio weight for Stock A should be % (Enter a percentage. Keep 2 decimal places).arrow_forward
- Assume that you run a regression on the raw returns of the stock of Company J against the raw returns of the market and find an intercept of 1.324 percent and a beta of 1.75. If the risk-free rate is 2.64 percent, and using the concept of Jensen's Alpha, then determine by how much this stock beat the market. Answer in decimal format, to 4 decimal places. For example, if you answer is 3.33%, enter "0.0333".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 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_forwardSyntex, 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 Common Stock B Probability Return Probability Return 0.35 13% 0.25 −7% 0.30 17% 0.25 8% 0.35 21% 0.25 15% 0.25 23% (Click on the icon in order to copy its contents into a spreadsheet.) Question content area bottom Part 1 a. Given the information in the table, the expected rate of return for stock A is enter your response here%. (Round to two decimal places.)arrow_forward
- 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 Common Stock B Probability Return Probability Return 0.25 13% 0.25 −7% 0.50 14% 0.25 7% 0.25 18% 0.25 16% 0.25 23% (Click on the icon in order to copy its contents into a spreadsheet.) Question content area bottom Part 1 a. Given the information in the table, the expected rate of return for stock A is enter your response here %. (Round to two decimal places.) Part 2 The standard deviation of stock A is enter your response here %. (Round to two decimal places.) Part 3 b. The expected rate of return for stock B is enter your response here %. (Round to two decimal places.) Part 4 The standard deviation for stock B is enter…arrow_forwardThe index model has been estimated for stocks A and B with the following results: RA 0.01 +0.5RM + A RB = 0.02 +1.3RM + eB standard deviation of the market is 0.25, standard deviation of eA is 0.2 and standard deviation of eB is 0.10 What is the covariance betwween the returns on stocks A and B?.arrow_forwardSuppose that there exist two securities (A and B) with annual expected returns equal to ra = 3% and rg = 5% and standard deviations equal to o4 = 7% and oB = 10% respectively. The correlation coefficient between the returns of these securities is p = -0.5. What is the expected return and the standard deviation of an equally weighted portfolio consisting of the securities A and B? Describe every step of your calculations in detail. What is the expected return and the standard deviation of a portfolio consisting of the securities A and B, if the relevant weights are chosen to minimize the risk of the portfolio? Present the minimisation problem and describe every step of your calculations in detail. How could an investor maximize diversification benefits? Critically discuss and explain in detail.arrow_forward
- Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA = 0.03 + 0.7 RM + eA RB = -0.02+ 1.2 RM + eB σM =0.20; R-square A = 0.25 R-square B = 0.20 What is the standard deviation of A & B, respectively? Group of answer choices 0.54, 0.28 0.28, 0.54 0.45, 0.50 0.50, 0.45arrow_forwardSuppose that the index model for stocks A and B is estimated from excess returns with the following results:RA = 3% + .7RM + eARB = −2% + 1.2RM + eBσM = 20%; R-squareA = .20; R-squareB = .12What are the covariance and the correlation coefficient between the two stocks?arrow_forwardBarry wishes to compute the beta of a stock that has a correlation of 0.64 with the market. The following data is available: Standard Deviation of Returns of Stock = 14.1%. Standard Deviation of Returns of Market = 9.44%. 1) Calculate the beta of the stock 2) If the risk free rate is estimated to be 3%, market return 9% and given the beta that you calculated in question 1, what is the expected return of the stock? 3) If the actual return next year turned out to be 10% what is the Jensen's alpha? Is Barry, the investor happy or disappointed? 4) Using data for the stock presented and/or calculated above, what is the Sharpe ratio? When is this measurement appropriate? 5) Using data for the stock presented and/or calculated above, what is Treynor measure? When is this measurement appropriate?arrow_forward
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