Question

Assume that the CAPM holds. The expected return of the market portfolio is 15%, and the...

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?

Homework Answers

Answer #1

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.

  • Standard Deviation of Market = 25%
  • Standard Deviation of Stock = 10%

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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