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Assume that you manage a risky portfolio with an expected rate of return of 20%

ID: 2776003 • Letter: A

Question

Assume that you manage a risky portfolio with an expected rate of return of 20% and a standard deviation of 41%. The T-bill rate is 4%.

A client prefers to invest in your portfolio a proportion (y) that maximizes the expected return on the overall portfolio subject to the constraint that the overall portfolio's standard deviation will not exceed 30%.

    

    

    

What is the expected rate of return on the overall portfolio? (Do not round intermediate calculations. Round your answer to 2 decimal places.)

    

Assume that you manage a risky portfolio with an expected rate of return of 20% and a standard deviation of 41%. The T-bill rate is 4%.

Explanation / Answer

0.30 = y x 0.41

Y = 0.30/0.41

Y =73.17%

= 0.7317 x20%+( 1-0.7317)x4%

=15.71%