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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 8%, 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 8%, and the markets average return was 15%. 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 0.671 0.484
Residual standard deviation, o(e) 11.9% 20.7%
Standard deviation of excess returns 23.2% 28.1%

a. Calculate the following statistics for each stock:

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 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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