You are considering investing in an emerging market. Its stock market volatility (standard deviation of returns measured in U.S. dollars) is 25%. The volatility of the World index of developed markets is 15%. The correlation between the emerging market and the World index is 0.2. Required: i) Calculate the volatility of a portfolio invested 95% in the World index and 5% in this emerging market. ii) Compare your answer in (i) with the volatility of the World index and explain the difference without doing any other

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
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You are considering investing in an emerging
market. Its stock market volatility (standard
deviation of returns measured in U.S. dollars)
is 25%. The volatility of the World index of
developed markets is 15%. The correlation
between the emerging market and the World
index is 0.2.
Required: i) Calculate the volatility of a
portfolio invested 95% in the World index and
5% in this emerging market.
ii) Compare your answer in (i) with the
volatility of the World index and explain the
difference without doing any other
calculations.
Transcribed Image Text:You are considering investing in an emerging market. Its stock market volatility (standard deviation of returns measured in U.S. dollars) is 25%. The volatility of the World index of developed markets is 15%. The correlation between the emerging market and the World index is 0.2. Required: i) Calculate the volatility of a portfolio invested 95% in the World index and 5% in this emerging market. ii) Compare your answer in (i) with the volatility of the World index and explain the difference without doing any other calculations.
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