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 sure rate of 3.5%.  The proability distributionsof the risky funds are:   Expected Return Standard Deviation Stock Fund (S) 23% 25% Bond Fund (B) 12% 18% *The correlation between the fund returns is .55.* What are the expected return, standard deviation, and sharpe ratio for the minimum-variance portfoilo of the two risky funds, and what would be the weights of the stock and bond fund for an optimal portfoilo?

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 sure rate of 3.5%.  The proability distributionsof the risky funds are:

  Expected Return Standard Deviation
Stock Fund (S) 23% 25%
Bond Fund (B) 12% 18%

*The correlation between the fund returns is .55.*

What are the expected return, standard deviation, and sharpe ratio for the minimum-variance portfoilo of the two risky funds, and what would be the weights of the stock and bond fund for an optimal portfoilo?

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