Suppose that stocks are exposed to systematic risks only so that stock i has the following return structure: Rist = mi + Si,t where mį is the average return, and sit is the systematic risk. When we construct a portfolio including more and more stocks, which of the following would happen? O The portfolio volatility stays unchanged. O The portfolio volatility gradually decreases and eventually converges to a certain positive value. ● The portfolio volatility gradually decreases and eventually converges to zero.

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter8: Analysis Of Risk And Return
Section: Chapter Questions
Problem 1P
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Suppose that stocks are exposed to systematic risks only so that stock i has the following return
structure:
Ri,t
= mį + Si,t
where mi is the average return, and si,t is the systematic risk. When we construct a portfolio including
more and more stocks, which of the following would happen?
The portfolio volatility gradually decreases and eventually converges to a certain positive value.
● The portfolio volatility gradually decreases and eventually converges to zero.
The portfolio volatility stays unchanged.
Transcribed Image Text:Suppose that stocks are exposed to systematic risks only so that stock i has the following return structure: Ri,t = mį + Si,t where mi is the average return, and si,t is the systematic risk. When we construct a portfolio including more and more stocks, which of the following would happen? The portfolio volatility gradually decreases and eventually converges to a certain positive value. ● The portfolio volatility gradually decreases and eventually converges to zero. The portfolio volatility stays unchanged.
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