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 market's
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 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 | 10.3% | 19.1% |
| Standard deviation of excess return | 21.6% | 24.9% |
A: Calculate the following statistics for each stock:
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 ricky asset to be held by the investor
ii. This stock will be mixed with the rest of the investor's portfolio, currenly composed solely of holings 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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