f you create a portfolio for your client with 73 percent invested in the S&P 500 U.S. stock index (which includes T) and the remaining 27 percent in the Vanguard Gold index. The expected return is 30 percent for the S&P 500 and 3 percent for the Vanguard Gold index. The risk is 7.5 percent for the S&P 500 and 5 percent for the Vanguard Gold index. Estimate the portfolio’s return and risk given that the correlation coefficient between the S&P 500 and the Vanguard Gold index is -0.3?  (e) Evaluate the effect of a change in the correlation coefficient to 0.8 on the portfolio’s return and risk.

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter8: Analysis Of Risk And Return
Section: Chapter Questions
Problem 13P
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If you create a portfolio for your client with 73 percent invested in the S&P 500 U.S. stock index (which includes T) and the remaining 27 percent in the Vanguard Gold index. The expected return is 30 percent for the S&P 500 and 3 percent for the Vanguard Gold index. The risk is 7.5 percent for the S&P 500 and 5 percent for the Vanguard Gold index. Estimate the portfolio’s return and risk given that the correlation coefficient between the S&P 500 and the Vanguard Gold index is -0.3? 

(e) Evaluate the effect of a change in the correlation coefficient to 0.8 on the portfolio’s return and risk.

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