JJ. 1168. The following linear regression estimation results were for the single index models, estimated for stocks Aand B:RA=0.0206 +1.5RM + EARg=0.0308 -0.8RM + BOM = 0.2, 0(EA) = 0.2751, and, o(EB) = 0.3370.The covariance between the returns on stocks A and B is?O a. 0.0343O b. -0.0480O c. -0.0343O d. 0.1395

1. Single Index model is expressed by following equation:-Ri = where ,Ri = return on security i =…

The following linear regression estimation results were for the single index models, estimated for stocks A and B: RA = 0.0206 +1.5RM + EA Rg=0.0308-0.8RM + EB OM= 0.2, 0(EA) = 0.2751, and, o(g) = 0.3370. The covariance between the returns on stocks A and B is? O a. 0.0343 O b. -0.0480 O c. -0.0343 O d. 0.1395

The following linear regression estimation results were for the single index models, estimated for stocks A and B: RA = 0.0206 +1.5RM + EA Rg=0.0308-0.8RM + EB OM= 0.2, 0(EA) = 0.2751, and, o(g) = 0.3370. The covariance between the returns on stocks A and B is? O a. 0.0343 O b. -0.0480 O c. -0.0343 O d. 0.1395

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Consider the two (excess return) index-model regression results for stocks A and B. The risk-free rate over the period was 7%, and the market's average return was 14%. Performance is measured using an index model regression on excess returns. Index model regression estimates R-square Residual standard deviation, o(e) Standard deviation of excess returns. i. Alpha ii. Information ratio iii. Sharpe ratio iv. Treynor measure Stock A a. Calculate the following statistics for each stock: (Round your answers to 4 decimal places.) % Stock A 1% +1.2(rm rf) % 0.635 11.3% 22.6% Stock B % % Stock B 2% +0.8( rm -rf) b. Which stock is the best choice under the following circumstances? 0.466 20.1% 26.9% i. This is the only risky asset to be held by the investor. ii. This stock will be mixed with the rest of the investor's portfolio, currently composed solely of holdings in the market-index fund. iii. This is one of many stocks that the investor is analyzing to form an actively managed stock…
a. The standard deviation of returns is 0.30 for Stock A and 0.20 for Stock B. The covariance betweenthe returns of A and B is 0.006. The correlation of returns between A and B is:
The covariance between the returns on two stock is 0.0425. The standard deviations of stocks A and B are 0.2041 and 0.2944, respectively. Calculate and interpret the correlations between the two assets [2+2=4]
Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA = 3.8% + 1.25RM + eA RB = –1.8% + 1.60RM + eB σM = 18%; R-squareA = 0.24; R-squareB = 0.18 What are the covariance and correlation coefficient between the two stocks? (Do not round intermediate calculations. Calculate using numbers in decimal form, not percentages. Round your answers to 4 decimal places.)
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?
CAPM has been estimated for stocks A and B with the following results: RA= 0.01 + 0.8RM+ eA & RB= 0.02 + 1.2RM+ eB. The standard deviations of Market, eA and eB are 0.20, 0.20 and 0.10 respectively. The standard deviation for stock A is __________. a. 0.0676 b. 0.0656 c. 0.2561 d. 0.2600
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?
The historical rate of return on stock A was regressed on the rate of return of stock M (the explanatory variable). The slope of the regression line was 0.8, the standard deviation of the residuals was 0.3 and the standard deviation of the rate of return of M was 0.2. What was the standard deviation of the rate of return on A? Multiple Choice 0.460 None of the above 0.286 0.349 Next >
The 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?.
Consider the two (excess return) index-model regression results for stocks A and The risk-free rate over the period was 6%, and the market’s average return was 14%. Performance is measured using an index model regression on excess returns. Stock A Stock B Index model regression estimates 1% + 1.2(rM – rf ) 2% + 0.8(rM – rf ) R-square 0.576 0.436 Residual standard deviation, σ(e) 10.3% 19.1% Standard deviation of excess returns 21.6% 24.9% Calculate the following statistics for each stock: Alpha Information ratio Sharpe ratio Treynor measure Which stock is the best choice under the following circumstances? This is the only risky asset to be held by the investor. This stock will be mixed with the rest of the investor’s portfolio, currently composed solely of holdings in the market-index fund. This is one of many stocks that the investor is analyzing to form an actively managed stock portfolio.
Consider the two (excess return) index model regression results for A and B: RA = 0.8% + 1RM R-square = 0.588 Residual standard deviation = 10.8% RB = –1.2% + 0.7RM R-square = 0.452 Residual standard deviation = 9% a. Which stock has more firm-specific risk? A. Stock A B. Stock B Which stock has greater market risk? A. Stock A B. Stock B b. For which stock does market movement has a greater fraction of return variability? A. Stock A B. Stock B c. If rf were constant at 4.5% and the regression had been run using total rather than excess returns, what would have been the regression intercept for stock A? (Negative value should be indicated by a minus sign. Round your answer to 2 decimal places.)
If the standard deviation of stock 'A' is .25, the standard deviation of stock 'B' is .30, and the correlation between stocks 'A' and 'B' is 0.7, the covariance between stocks 'A' and 'B' is___.

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