You are interested in a portfolio of two stocks: A and B. The monthly average return and standard deviation of Stock A are 4.5% and 16.7%, respectively. The monthly average return and standard deviation of Stock B are 0.4% and 7.9%, respectively. The correlation between the two stocks is 0.01. The monthly risk - free rate is 0.1%. (1 point) What is the Sharpe ratio for Stock A? Show your calculation steps briefly and clearly. (1 point) Calculate the minimum - variance portfolio (MVP). You do NOT need to show your calculation steps for this subquestion. (1 point) Calculate the optimal risky portfolio P*. You do NOT need to show your calculation steps for this subquestion. (1 point) Suppose you add a new stock to the portfolio and re-calculate the optimal risky portfolio of the three stocks. Determine whether the optimal Sharpe ratio will increase, decrease, or remain the same after adding a new stock. Briefly explain why.

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter8: Analysis Of Risk And Return
Section: Chapter Questions
Problem 6P
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You are interested in a portfolio of two stocks: A and B. The monthly average return and standard deviation of Stock A
are 4.5% and 16.7%, respectively. The monthly average return and standard deviation of Stock B are 0.4% and 7.9%,
respectively. The correlation between the two stocks is 0.01. The monthly risk - free rate is 0.1%.
(1 point) What is the Sharpe ratio for Stock A?
Show your calculation steps briefly and clearly.
(1 point) Calculate the minimum - variance portfolio (MVP).
You do NOT need to show your calculation steps for this subquestion.
(1 point) Calculate the optimal risky portfolio P*.
You do NOT need to show your calculation steps for this subquestion.
(1 point) Suppose you add a new stock to the portfolio and re-calculate the optimal risky portfolio of the three stocks.
Determine whether the optimal Sharpe ratio will increase, decrease, or remain the same after adding a new stock. Briefly
explain why.
Transcribed Image Text:You are interested in a portfolio of two stocks: A and B. The monthly average return and standard deviation of Stock A are 4.5% and 16.7%, respectively. The monthly average return and standard deviation of Stock B are 0.4% and 7.9%, respectively. The correlation between the two stocks is 0.01. The monthly risk - free rate is 0.1%. (1 point) What is the Sharpe ratio for Stock A? Show your calculation steps briefly and clearly. (1 point) Calculate the minimum - variance portfolio (MVP). You do NOT need to show your calculation steps for this subquestion. (1 point) Calculate the optimal risky portfolio P*. You do NOT need to show your calculation steps for this subquestion. (1 point) Suppose you add a new stock to the portfolio and re-calculate the optimal risky portfolio of the three stocks. Determine whether the optimal Sharpe ratio will increase, decrease, or remain the same after adding a new stock. Briefly explain why.
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