Concept explainers
Consider the two (excess return) index~m0del regression results for stocks A and B. The risk-free rate over the period was
Stock A | Stock B | |
Index model regression estimates |
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R-square |
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Residual standard deviation. |
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Standard deviation of excess returns |
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a. Calculate the following statistics for each stock:
i. Alpha
ii. Information ratio
iii. Sharpe ratio
iv. Treynor’s measure
b. Which stock is the best choice under the following circumstances?
i. This IS the only risky asset to be held by the investor.
ii. This stock will be mixed with the zest 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 portfolio.
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Chapter 18 Solutions
ESS. OF INVESTMENTS - ETEXT ACCESS CARD
- 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 13%. 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 0.588 0.442 Residual standard deviation, σ(e) 10.5% 19.3% Standard deviation of excess returns 21.8% 25.3% a. Calculate the following statistics for each stock: (Round your answers to 4 decimal places.) stock A (%) Stock B (%) i. Alpha ii. Information ratio iii. Sharpe ratio iv. Treynor measure b. Which stock is the best choice under the following circumstances? i. This is the only risky asset to be held by the investor ii. This stock will be mixed with the rest of the investors' portfolio, currently composed solely of holdings in the market-index fund. iii. This is one…arrow_forwardConsider the two (excess return) Index-model regression results for stocks A and B. The risk-free rate over the period was 4%, and the market's average return was 11%. Performance is measured using an Index model regression on excess returns. Stock A Stock B Index model regression estimates R-square 1% +1.2(rm -rf) 2% +0.8(M-r) Residual standard deviation, d(e) Standard deviation of excess returns 0.683 12.1% 23.4% 0.49 20.9% 28.5% Required: a. Calculate the following statistics for each stock: b. Which stock is the best choice under the following circumstances? Answer is complete but not entirely correct. Complete this question by entering your answers in the tabs below. Required A Required B Calculate the following statistics for each stock: Note: Round your answers to 4 decimal places. Stock A Stock B i. Alpha 1.0000 % 2.0000 % ii. Information ratio 0.0826 0.0957 iii. Sharpe ratio 0.4017 0.2667 iv. Treynor measure 0.0783x 0.0950 xarrow_forwardSubject: acountingarrow_forward
- Hello Can you show how to calculate the following statisticsarrow_forwardG.218.arrow_forwardConsider 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.)arrow_forward
- Consider the two (excess return) index model regression results for A and B. RA = 1.5% + 1.7RM R-square = 0.622 Residual standard deviation = 12% RB = -2.4 % +1.3RM R-square=0.468 Residual standard deviation = 9.8% Required: a. Which stock has more firm-specific risk? b. Which stock has greater market risk? c. For which stock does market movement explain a greater fraction of return variability? d. If rf were constant at 5.5% and the regression had been run using total rather than excess returns, what would have been the regression intercept for stock A? Complete this question by entering your answers in the tabs below. Required A Required B Required C Required D If rf were constant at 5.5% and the regression had been run using total rather than excess returns, what would have been the regression intercept for stock A? Note: Negative value should be indicated by a minus sign. Round your answer to 2 decimal places. Intercept %arrow_forwardConsider 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 greater market risk? multiple choice A. Stock A B. Stock B b. For which stock does market movement has a greater fraction of return variability? multiple choice 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.)arrow_forwardYou run a regression for the Tesla stock return on a market index to estimate the SML equation and find the following Excel output: Multiple R R-Square Adjusted R-Square Standard Error Observations Intercept Market = 0.28 0.25 0.02 40.01 60 13.35 and 0.97 0.8 and 0.1 0.28 and 0.25 0.26 and 1.36 0.2 and 0.75 Coefficients Standard Error t-Stat p-Value 0.2 0.75 The resulting SML equation for Laternios is given by: Er Laternios] 13.35 0.26 0.80 0.97 1.36 0.10 + __ × (E[rM] - rf)arrow_forward