Question
Company uses the single-index model to estimate beta for stocks A and B. The risk-free rate over the period was 2%, and the markets average
Company uses the single-index model to estimate beta for stocks A and B. The risk-free rate over the period was 2%, and the markets average return was 10%. Performance is measured using an index model regression on excess returns.
Stock A:
Index model regression estimates 1% + 0.8(rM -rf)
Residual standard deviation, 25%
Stock B:
Index model regression estimates -2% + 1.2(rM + rf)
Residual standard deviation:40%
The standard deviation of market returns 22%
Compute the nonsystematic risk (variance) of a portfolio with 40% in stock A, 40% in stock B, and 20% in the risk-free asset.
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