Question

Consider the following information: Portfolio Expected Return Beta Risk-free 6 % 0 Market 10.2 1.0 A 8.2 1.4 a. Calculate the return predicted by CAPM for a portfolio with a beta of 1.4. (Round your answer to 2 decimal places.) b. What is the alpha of portfolio A.

Answer 1

Answer:

a. The return predicted by CAPM for a portfolio with a beta of 1.4 is 11.88%

b. The alpha of portfolio A is -3.68%

Explanation:

The formula for computing the return by Capital Assets Pricing Method (CAPM) model.

Expected return = Risk Free rate + (Beta × Market Risk Premium)

where,

Market risk premium = market return - risk free rate

Now, putting the values in the above equation

a. Expected return = 0.06 + 1.4 × (0.102 - 0.06)

= 0.06 + 1.4 × 0.042

= 0.06 + 0.0588

= 0.1188

= 11.88 %

Thus, the return predicted by CAPM for a portfolio with a beta of 1.4 is 11.88%.

b. The alpha should be = Portfolio expected return - expected return

                                      = 8.20 - 11.88 %

                                      = -3.68%

Thus, the alpha of portfolio A is -3.68%