A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a long-term government and corporate bond fund, and the third is a T-bill money market fund that yields a rate of 6%. The probability distribution of the risky funds is as follows:   E(r) st. dev. stock fund .24 .33 bond fund .14 .22 The correlation between the fund returns is 0.14.   You require that your portfolio yield an expected return of 16%, and that it be efficient, on the best feasible CAL.   a. What is the standard deviation of your portfolio? (Round your answer to 2 decimal places.)   b. What is the proportion invested in the T-bill fund and each of the two risky funds? (Round your answers to 2 decimal places.)

Pfin (with Mindtap, 1 Term Printed Access Card) (mindtap Course List)
7th Edition
ISBN:9780357033609
Author:Randall Billingsley, Lawrence J. Gitman, Michael D. Joehnk
Publisher:Randall Billingsley, Lawrence J. Gitman, Michael D. Joehnk
Chapter13: Investing In Mutual Funds, Etfs, And Real Estate
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A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a long-term government and corporate bond fund, and the third is a T-bill money market fund that yields a rate of 6%. The probability distribution of the risky funds is as follows:

  E(r) st. dev.
stock fund .24 .33
bond fund .14 .22

The correlation between the fund returns is 0.14.

 

You require that your portfolio yield an expected return of 16%, and that it be efficient, on the best feasible CAL.

 

a. What is the standard deviation of your portfolio? (Round your answer to 2 decimal places.)

 

b. What is the proportion invested in the T-bill fund and each of the two risky funds? (Round your answers to 2 decimal places.)

 

 

 

 

 

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