You are considering investing $1,000 in a T-bill that pays a rate of return of 0.06 and a risky portfolio, P, constructed with 2 risky securities, X and Y. The weights of X and Y in P are 0.70 and 0.30, respectively. X has an expected rate of return of 0.14 and a 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, X, and Y, respectively if you keep X and Y in the same proportions to each other as in portfolio P

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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You are considering investing $1,000 in a T-bill that pays a rate of return of 0.06 and a risky portfolio, P, constructed with 2 risky securities, X and Y. The weights of X and Y in P are 0.70 and 0.30, respectively. X has an expected rate of return of 0.14 and a 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, X, and Y, respectively if you keep X and Y in the same proportions to each other as in portfolio P?

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