Assume the historical volatility of a stock on the S&P 500 is 50% and the correlation between the returns of stock is 30% A. What is the average variance of stocks on the S&P? B. What is the average covariance of the stocks? C. Consider a portfolio of S&P stocks. What is the estimated volatility of the portfolio when there 10 stocks in the portfolio? What about 20 stocks in the portfolio?

Corporate Fin Focused Approach
5th Edition
ISBN:9781285660516
Author:EHRHARDT
Publisher:EHRHARDT
Chapter6: Risk And Return
Section: Chapter Questions
Problem 14P
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Assume the historical volatility of a stock on the S&P 500 is 50% and the correlation between the returns of stock is 30%

A. What is the average variance of stocks on the S&P?

B. What is the average covariance of the stocks?

C. Consider a portfolio of S&P stocks. What is the estimated volatility of the portfolio when there 10 stocks in the portfolio? What about 20 stocks in the portfolio?

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