Question
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 markets
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 markets 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, (e) | 10.5% | 19.3% | |||||||||
Standard deviation of excess returns | 21.8% | 25.3% | |||||||||
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.)
i. Alpha (For stock A and B)
ii. Information Ratio (For stock A and B)
iii. Sharpe Ratio (For stock A and B)
iv. Treynor Measure (For stock A and B)
b. Which stock is the best choice under the following circumstances?
i. This is the only risky asset to be held by the investor (Stock A or B)
ii. This stock will be mixed with the rest of the investor's portfolio, currently composed solely of holdings in the market-index fund. (Stock A or B)
iii. This is the one of many stocks that the investor is analyzing to form an actively managed stock portfolio. (Stock A or B)
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