Consider the following expected returns, volatilities, and correlations: Stock Duke Energy Microsoft Wal-Mart Expected Standard Correlation with Correlation with Correlation with Return Duke Energy Deviation 14% 6% 44% 24% 23% 14% 1.0 -1.0 0.0 Microsoft -1.0 1.0 0.7 Wal-Mart 0.0 0.7 1.0 Consider a portfolio consisting of only Duke Energy and Microsoft. What is the percentage of your investment (portfolio weight) that you would place in Duke Energy stock to achieve a risk-free investment. b) What are the expected return and volatility of a portfolio that consists of a long position of $10,000 in Wal-Mart and a short position of $2000 in Microsoft? c) What are the expected return and volatility of a portfolio that has $3000 invested in Duke Energy, $4000 invested in Microsoft, and $3000 invested in Walmart stock?

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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Consider the following expected returns, volatilities, and correlations:
Stock
Duke Energy
Microsoft
Wal-Mart
Expected Standard Correlation with Correlation with Correlation with
Return
Duke Energy
Deviation
14%
6%
44%
24%
23%
14%
1.0
-1.0
0.0
Microsoft
-1.0
1.0
0.7
Wal-Mart
0.0
0.7
1.0
a) Consider a portfolio consisting of only Duke Energy and Microsoft. What is the
percentage of your investment (portfolio weight) that you would place in Duke Energy
stock to achieve a risk-free investment.
b)
What are the expected return and volatility of a portfolio that consists of a long position
of $10,000 in Wal-Mart and a short position of $2000 in Microsoft?
c)
What are the expected return and platility of a portfolio that has $3000 invested in
Duke Energy, $4000 invested in Microsoft, and $3000 invested in Walmart stock?
Transcribed Image Text:Consider the following expected returns, volatilities, and correlations: Stock Duke Energy Microsoft Wal-Mart Expected Standard Correlation with Correlation with Correlation with Return Duke Energy Deviation 14% 6% 44% 24% 23% 14% 1.0 -1.0 0.0 Microsoft -1.0 1.0 0.7 Wal-Mart 0.0 0.7 1.0 a) Consider a portfolio consisting of only Duke Energy and Microsoft. What is the percentage of your investment (portfolio weight) that you would place in Duke Energy stock to achieve a risk-free investment. b) What are the expected return and volatility of a portfolio that consists of a long position of $10,000 in Wal-Mart and a short position of $2000 in Microsoft? c) What are the expected return and platility of a portfolio that has $3000 invested in Duke Energy, $4000 invested in Microsoft, and $3000 invested in Walmart stock?
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