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4 Problem 7-4 A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a long-term government and 25 points corporate bond fund, and the third is a T-bill money market fund that yields a rate of 8%. The probablity distribution ofthe risky funds is as follows: Stock fund (5) Bond fund (B) 211 The correlation between the fund returns is 0.13 a-1. What are the investment proportions in the minimum-variance portfolio of the two risky funds. (Do not round intermediate calculations. Enter your answers as decimals rounded to 4 places.) Print Portlolo invested in the stock Portfolo invested in the bond a-2. What is the expected value and standard deviation of its rate of return? (Do not round intermediate answers as decimals rounded to 4 places.) your Rate of Return Expected return Standard deviation
0 0
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Answer #1

stock fund 2 expected return 3 standard deviation 4 variance 5 correlation 6 covariance 0.21 0.36 0.1296 0.13 0.010296 bond fund 0.13 0.22 0.0484 8 a-1) stock fund bond fund 10 weights 0.2421 0.7579 12 proportion invested in the stock 13 proportion invested in the bond 0.2421 0.7579 15 a-2 16 I 17 expected return 18 standard deviation 19 rate of return 0.1494 0.1979

2 expected return 3 standard deviation 4 variance 5 correlation 6 covariance stock fund 0.21 0.36 bond fund 0.13 0.22 -C3 C3 ВЗВЗ 0.13 B5 B3*C3 8 a-1) stock fund bond fund 10 weights (C4-B6)/(B4+C4-(2*B6)) -1-B10 12 proportion invested in the stock 13 proportion invested in the bond B10 -С 10 15 a-2 rate of return 17 expected return 18 standard deviation 19 B12 B2+B13 C2 -SORT(((B12 B3)A2)+(B13 C3)A2)+2 B12 B13 B6

here , the formulas used to calculate solutions for part a-1) and a-2) can be seen in the above image

for these, we first need to calculate individual variances of the stock and bond and also the covariance between them, which have been calculated as can be seen from the above solution

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