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Question 3 (5 parts): Two stocks, X and Y, have expected returns ux = 9% and uy = 7% and with standard deviat ox = 3.5% and oy = 2.5% for those returns. The covariance of the two stock's returns Cov(X, -0.0006. a. What is the correlation, e, of the returns of stocks X and Y? b. What are the expected return and standard deviation of a portfolio which is 25% stock X (the remainder is stock Y)? c. What are the expected return and standard deviation of a portfolio which is 50% stock X (the remainder stock Y)? d. What are the expected return and standard deviation of a portfolio which is 75% stock X (the remainder is stock Y)? e. Which of the portfolios above, either (b), (c), or (d), offers the best combination of risk and return? Briefly explain.

Question 3 (5 parts): Two stocks, X and Y, have expected returns ux = 9% and uy = 7% and with standard deviat ox = 3.5% and oy = 2.5% for those returns. The covariance of the two stock's returns Cov(X, -0.0006. a. What is the correlation, e, of the returns of stocks X and Y? b. What are the expected return and standard deviation of a portfolio which is 25% stock X (the remainder is stock Y)? c. What are the expected return and standard deviation of a portfolio which is 50% stock X (the remainder stock Y)? d. What are the expected return and standard deviation of a portfolio which is 75% stock X (the remainder is stock Y)? e. Which of the portfolios above, either (b), (c), or (d), offers the best combination of risk and return? Briefly explain.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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Question 3 (5 parts): Two stocks, X and Y, have expected returns ux = 9% and µy = 7% and with standard deviations ox = 3.5% and oy = 2.5% for those returns. The covariance of the two stock's returns Cov(X, Y) = -0.0006. a. What is the correlation, e, of the returns of stocks X and Y? b. What are the expected return and standard deviation of a portfolio which is 25% stock X (the remainder is stock Y)? c. What are the expected return and standard deviation of a portfolio which is 50% stock X (the remainder stock Y)? d. What are the expected return and standard deviation of a portfolio which is 75% stock X (the remainder is stock Y)? e. Which of the portfolios above, either (b), (c), or (d), offers the best combination of risk and return? Briefly explain.
Transcribed Image Text:Question 3 (5 parts): Two stocks, X and Y, have expected returns ux = 9% and µy = 7% and with standard deviations ox = 3.5% and oy = 2.5% for those returns. The covariance of the two stock's returns Cov(X, Y) = -0.0006. a. What is the correlation, e, of the returns of stocks X and Y? b. What are the expected return and standard deviation of a portfolio which is 25% stock X (the remainder is stock Y)? c. What are the expected return and standard deviation of a portfolio which is 50% stock X (the remainder stock Y)? d. What are the expected return and standard deviation of a portfolio which is 75% stock X (the remainder is stock Y)? e. Which of the portfolios above, either (b), (c), or (d), offers the best combination of risk and return? Briefly explain.
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