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Your portfolio allocates equal amounts to three stocks. All three stocks have th

ID: 2757749 • Letter: Y

Question

Your portfolio allocates equal amounts to three stocks. All three stocks have the same mean annual return of 10 percent. Annual return standard deviations for these three stocks are 27 percent, 37 percent, and 47 percent. The return correlations among all three stocks are zero. What is the smallest expected loss for your portfolio in the coming year with a probability of 1 percent? (Negative value should be indicated by a minus sign. Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places. Omit the "%" sign in your response.)

Your portfolio allocates equal amounts to three stocks. All three stocks have the same mean annual return of 10 percent. Annual return standard deviations for these three stocks are 27 percent, 37 percent, and 47 percent. The return correlations among all three stocks are zero. What is the smallest expected loss for your portfolio in the coming year with a probability of 1 percent? (Negative value should be indicated by a minus sign. Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places. Omit the "%" sign in your response.)

Explanation / Answer

stock weight rate of return 1 0.3333 10 3.333 2 0.3333 10 3.333 3 0.3333 10 3.333 average return of portfolio 9.999 Probability of loss 1% Minimum expected loss 0.0999