Question

In: Finance

Consider the two (excess return) index-model regression results for stocks A and B. The risk-free rate...

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.

Stock A Stock B
Index model regression estimates 1% + 1.2(rMrf) 2% + 0.8(rMrf)
R-square 0.635 0.466
Residual standard deviation, σ(e) 11.3% 20.1%
Standard deviation of excess returns 22.6% 26.9%

a. Calculate the following statistics for each stock (use whole percent values, 1%, not 0.01 for example, for your calculations): (Round your answers to 4 decimal places.)

Stock A Stock B
Alpha
Information ratio
Sharpe ratio
Treynor measure

b. 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.

Solutions

Expert Solution

SEE THE IMAGE. ANY DOUBTS, FEEL FREE TO ASK. THUMBS UP PLEASE


Related Solutions

Consider the two (excess return) index-model regression results for stocks A and B. The risk-free rate...
Consider the two (excess return) index-model regression results for stocks A and B. The risk-free rate over the period was 8%, 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 0.665 0.481 Residual standard deviation, σ(e) 11.8% 20.6% Standard deviation of excess returns 23.1% 27.9% a. Calculate the following statistics for each...
Consider the two (excess return) index-model regression results for stocks A and B. The risk-free rate...
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 15%. 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 0.641 0.469 Residual standard deviation, σ(e) 11.4% 20.2% Standard deviation of excess returns 22.7% 27.1% a. Calculate the following statistics for each...
Consider the two (excess return) index-model regression results for stocks A and B. The risk-free rate...
Consider the two (excess return) index-model regression results for stocks A and B. The risk-free rate over the period was 6%, and the market’s average return was 15%. 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 0.594 0.445 Residual standard deviation, σ(e) 10.6% 19.4% Standard deviation of excess returns 21.9% 25.5% a. Calculate the following statistics for each...
Problem 24-9 Consider the two (excess return) index-model regression results for stocks A and B. The...
Problem 24-9 Consider the two (excess return) index-model regression results for stocks A and B. The risk-free rate over the period was 5%, and the market’s average return was 15%. 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 0.617 0.457 Residual standard deviation, ?(e) 11% 19.8% Standard deviation of excess returns 22.3% 26.3% a. Calculate the following statistics...
Consider the two (excess return) index model regression results for A and B: RA = –1.8%...
Consider the two (excess return) index model regression results for A and B: RA = –1.8% + 2RM R-square = 0.640 Residual standard deviation = 12.6% RB = 1.4% + 1RM R-square = 0.590 Residual standard deviation = 11.4% If rf were constant at 6% 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...
Consider the two (excess return) index model regression results for stock A and B RA =...
Consider the two (excess return) index model regression results for stock A and B RA = 0.01 + 1.2RM R2 of 0.576; Std deviation of error term of 10.3% RB = -0.02 + 0.8RM R2 of 0.436; Std deviation of error term of 9.1% a) Which stock has more firm-specific risk? Explain [4 points] b) Which has greater market risk? Explain [4 points] c) For which stock does market movement explain a grater fraction of return variability? Explain [4 points]...
Suppose that the index model for stocks A and B is estimated from excess returns with...
Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA = 5.0% + 1.30RM + eA RB = –2.0% + 1.6RM + eB σM = 20%; R-squareA = 0.20; R-squareB = 0.12 Break down the variance of each stock to the systematic and firm-specific components. (Do not round intermediate calculations. Calculate using numbers in decimal form, not percentages. Round your answers to 4 decimal places.)
Suppose that the index model for stocks A and B is estimated from excess returns with...
Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA = 2.6% + 0.90RM + eA RB = –2.0% + 1.20RM + eB σM = 26%; R-squareA = 0.21; R-squareB = 0.12 Assume you create a portfolio Q, with investment proportions of 0.40 in a risky portfolio P, 0.35 in the market index, and 0.25 in T-bill. Portfolio P is composed of 70% Stock A and 30% Stock B. a....
Suppose that the index model for stocks A and B is estimated from excess returns with...
Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA = 1.60% + 0.70RM + eA RB = -1.80% + 0.90RM + eB σM = 22%; R-squareA = 0.20; R-squareB = 0.15 Assume you create portfolio P with investment proportions of 0.70 in A and 0.30 in B. a. What is the standard deviation of the portfolio? (Do not round your intermediate calculations. Round your answer to 2 decimal places.)...
Suppose that the index model for stocks A and B is estimated from excess returns with...
Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA = 3.60% + 1.20RM + eA RB = -1.60% + 1.50RM + eB σM = 16%; R-squareA = 0.25; R-squareB = 0.15 Assume you create portfolio P with investment proportions of 0.70 in A and 0.30 in B. a. What is the standard deviation of the portfolio? (Do not round your intermediate calculations. Round your answer to 2 decimal places.)...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT