You are considering investing $1,000 in a complete portfolio. The complete portfolio is composed of Treasury bills that pay 5% and a risky portfolio, P, constructed with two risky securities, X and Y. The optimal weights of X and Y in P are 60% and 40%, respectively. X has a return volatility of 25%, and Y has a return volatility of 30%. The correlation between X and Y is -0.2. If you decide to hold a complete portfolio that has a return volatility of 15%, how much should you invest in the Treasury bills? $1,000 $687 $130 $220

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter8: Analysis Of Risk And Return
Section: Chapter Questions
Problem 5P
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You are considering investing $1,000 in a complete portfolio. The complete portfolio is composed of Treasury bills that pay 5% and a risky portfolio, P, constructed with two risky securities, X and Y. The optimal weights of X and Y in P are 60% and 40%, respectively. X has a return volatility of 25%, and Y has a return volatility of 30%. The correlation between X and Y is -0.2. If you decide to hold a complete portfolio that has a return volatility of 15%, how much should you invest in the Treasury bills?

$1,000

$687

$130

$220

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