37) You are considering investing $1,000 in a T-bill that pays 0.05 and a risky portfolio, P, constructed with two risky securities, X and Y. The weights of X and Y in P are 0.60 and 0.40, respectively. X has an expected rate of return of 0.14 and variance of 0.01, and Y has an expected rate of return of 0.10 and a variance of 0.0081. If you want to form a portfolio with an expected rate of return of 0.11, what percentages of your money must you invest in the T-bill and P, respectively? A) 0.25; 0.75 B) 0.19; 0.81 C) 0.65; 0.35 D) 0.50; 0.50 E) Cannot be determined.

Intermediate Financial Management (MindTap Course List)
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Author:Eugene F. Brigham, Phillip R. Daves
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Chapter2: Risk And Return: Part I
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Problem 3Q: Security A has an expected return of 7%, a standard deviation of returns of 35%, a correlation...
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37) You are considering investing $1,000 in a T-bill that pays 0.05 and a risky portfolio, P,
constructed with two risky securities, X and Y. The weights of X and Y in P are 0.60 and 0.40,
respectively. X has an expected rate of return of 0.14 and variance of 0.01, and Y has an expected
rate of return of 0.10 and a variance of 0.0081.
If you want to form a portfolio with an expected rate of return of 0.11, what percentages of your
money must you invest in the T-bill and P, respectively?
A) 0.25; 0.75
B) 0.19; 0.81
C) 0.65; 0.35
D)
0.50; 0.50
E)
Cannot be determined.
Transcribed Image Text:37) You are considering investing $1,000 in a T-bill that pays 0.05 and a risky portfolio, P, constructed with two risky securities, X and Y. The weights of X and Y in P are 0.60 and 0.40, respectively. X has an expected rate of return of 0.14 and variance of 0.01, and Y has an expected rate of return of 0.10 and a variance of 0.0081. If you want to form a portfolio with an expected rate of return of 0.11, what percentages of your money must you invest in the T-bill and P, respectively? A) 0.25; 0.75 B) 0.19; 0.81 C) 0.65; 0.35 D) 0.50; 0.50 E) Cannot be determined.
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