We consider a market with N risky assets. The following table shows the information of some portfolios constructed by these risky assets. Expected return Portfolio 1 (W₁) Portfolio 2 (W₂) Portfolio 3 (W3) Portfolio 4 (W4) 0.0321 0.0607 0.1263 0.1322 Portfolio 1 Portfolio 2 Portfolio 3 Portfolio 4 Standard deviation of the return 0.093207 0.088882 0.217899 0.212048 The correlation coefficient of returns of these portfolios are given in the following table: Portfolio 1 Portfolio 2 Portfolio 3 Portfolio 4 1 0.731672 -0.02533 0.731672 1 0.662908 0.002018 0.62553 0.915149 -0.02533 0.662908 0.002018 0.62553 1 0.915149

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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We consider a market with N risky assets. The following table shows the information of
some portfolios constructed by these risky assets.
Expected return
Portfolio 1 (W₁)
Portfolio 2 (W₂)
Portfolio 3 (W3)
Portfolio 4 (W4)
0.0321
0.0607
0.1263
0.1322
Portfolio 1
Portfolio 2
Portfolio 3
Portfolio 4
Standard deviation
of the return
The correlation coefficient of returns of these portfolios are given in the following table:
Portfolio 1
Portfolio 2
Portfolio 3
Portfolio 4
0.731672
1
0.731672
1
0.62553
0.002018
-0.02533
0.662908
0.093207
0.088882
0.217899
0.212048
0.002018
0.62553
1
0.915149
You are also given that two of these portfolios are efficient.
-0.02533
0.662908
0.915149
1
Question
(a) Using the above information, determine the global minimum variance portfolio.
Express your answer in terms of W₁, W2, W3 and W₁.
Transcribed Image Text:We consider a market with N risky assets. The following table shows the information of some portfolios constructed by these risky assets. Expected return Portfolio 1 (W₁) Portfolio 2 (W₂) Portfolio 3 (W3) Portfolio 4 (W4) 0.0321 0.0607 0.1263 0.1322 Portfolio 1 Portfolio 2 Portfolio 3 Portfolio 4 Standard deviation of the return The correlation coefficient of returns of these portfolios are given in the following table: Portfolio 1 Portfolio 2 Portfolio 3 Portfolio 4 0.731672 1 0.731672 1 0.62553 0.002018 -0.02533 0.662908 0.093207 0.088882 0.217899 0.212048 0.002018 0.62553 1 0.915149 You are also given that two of these portfolios are efficient. -0.02533 0.662908 0.915149 1 Question (a) Using the above information, determine the global minimum variance portfolio. Express your answer in terms of W₁, W2, W3 and W₁.
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