There is a portfolio of two assets - 30% investment in Stock A and 70% investment in Stock B. The correlation of returns between Stock A and Stock B is 0.50. The covariance between these two stocks is 0.0043, and the standard deviation of the return of Stock B is 26%. Requirements: (a) Please calculate the standard deviation of the return of Stock A. (b) Please calculate the standard deviation of the return of portfolio. (c) If we increase more and more different stocks in the portfolio, will it always decrease the risk (standard deviation) of the return of the portfolio? Please explain your answer in detail.
There is a portfolio of two assets - 30% investment in Stock A and 70% investment in Stock B. The correlation of returns between Stock A and Stock B is 0.50. The covariance between these two stocks is 0.0043, and the standard deviation of the return of Stock B is 26%. Requirements: (a) Please calculate the standard deviation of the return of Stock A. (b) Please calculate the standard deviation of the return of portfolio. (c) If we increase more and more different stocks in the portfolio, will it always decrease the risk (standard deviation) of the return of the portfolio? Please explain your answer in detail.
Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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
Transcribed Image Text:(4) Please answer the following short questions with what you have learned.
There is a portfolio of two assets - 30% investment in Stock A and 70% investment in
Stock B. The correlation of returns between Stock A and Stock B is 0.50. The
covariance between these two stocks is 0.0043, and the standard deviation of the
return of Stock B is 26%.
Requirements:
(a) Please calculate the standard deviation of the return of Stock A.
(b) Please calculate the standard deviation of the return of portfolio.
(c) If we increase more and more different stocks in the portfolio, will it always
decrease the risk (standard deviation) of the return of the portfolio? Please explain
your answer in detail.
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