Investment in X = w1 = 0.60, Investment in Y = w2 = 0.40
Correlation = r12 = 0.35
Standard Deviation of X = σ1 = 20%
Standard Deviation of Y = σ2 = 16%
Standard Deviation = √ [w12σ12 + w22σ22 + 2w1w2σ1σ2r12] = √ [0.6020.202 + 0.4020.162 + 2*0.60*0.40*0.20*0.16*0.35] = 0.1545 or 15.45%
Hence, correct answer is (A) Less than 18.4%
32. You have analyzed the returns of mutual funds X and Y for the last several...
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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 5.5%. The probability distribution of the risky funds is as follows: Expected Return Standard Deviation Stock fund (5) Bond fund (B) The correlation between the fund returns is 0.15 Solve numerically for the proportions of each asset and for the expected...