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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 markets
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 markets 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 | 0.635 | 0.466 |
Residual standard deviation, (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 investors 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. |
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