How many variance terms and how many covariance terms do you need to calculate the risk of a 100-share portfolio? Suppose that all stocks had a standard deviation of 30% and a correlation with each other of 0.4. What is the standard deviation of the returns on a portfolio that has equal holdings in 50 stocks? What is the standard deviation of a fully diversified portfolio of such stocks?

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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  1. How many variance terms and how many covariance terms do you need to calculate the risk of a 100-share portfolio?

  2. Suppose that all stocks had a standard deviation of 30% and a correlation with each other of 0.4. What is the standard deviation of the returns on a portfolio that has equal holdings in 50 stocks?

  3. What is the standard deviation of a fully diversified portfolio of such stocks?

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