In: Finance
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(rM − rf) | 2% + 0.8(rM − rf) |
| 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. |