Assume that the CAPM holds. The expected return of the market portfolio is 15%, and the standard deviation of the market portfolio is 25%. The risk free rate is 5%. A friend of yours now claims that a portfolio exists that has an expected return of 12% with a standard deviation of 10%. Is it possible that this claim is true and this portfolio exists under this scenario? Why?
As per CAPM:
Putting values in the above formula:
12% = 5% + beta * (15% - 5%)
Solving this, we get, beta of the stock = 0.7. This implies that the stock is low beta stock, which means it is less risky than the market.
This also implies that the stock is less risky than the market.
Hence, it possible that this claim is true and this portfolio exists under this scenario.
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