Required: a-1. What are the investment proportions in the minimum-variance portfolio of the two risky funds? a-2. What are the expected value and standard deviation of the minimum-variance portfolio rate of return?

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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A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a long-term bond fund, and the third
is a money market fund that provides a safe return of 8%. The characteristics of the risky funds are as follows:
Stock fund (S)
Bond fund (B)
Expected
Return
21%
13
The correlation between the fund returns is 0.13.
Req A1
Required:
a-1. What are the investment proportions in the minimum-variance portfolio of the two risky funds?
a-2. What are the expected value and standard deviation of the minimum-variance portfolio rate of return?
Standard
Deviation
36%
22
Complete this question by entering your answers in the tabs below.
Req A2
What are the investment proportions in the minimum-variance portfolio of the two risky funds?
Note: Do not round intermediate calculations. Enter your answers as decimals rounded to 4 places.
Portfolio invested in the stock
Portfolio invested in the bond
Transcribed Image Text:A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a long-term bond fund, and the third is a money market fund that provides a safe return of 8%. The characteristics of the risky funds are as follows: Stock fund (S) Bond fund (B) Expected Return 21% 13 The correlation between the fund returns is 0.13. Req A1 Required: a-1. What are the investment proportions in the minimum-variance portfolio of the two risky funds? a-2. What are the expected value and standard deviation of the minimum-variance portfolio rate of return? Standard Deviation 36% 22 Complete this question by entering your answers in the tabs below. Req A2 What are the investment proportions in the minimum-variance portfolio of the two risky funds? Note: Do not round intermediate calculations. Enter your answers as decimals rounded to 4 places. Portfolio invested in the stock Portfolio invested in the bond
A pension fund manager is considering three mutual funds. The first is a stock fund, the second a long-term bond fund, and the third
is a money market fund that provides a safe return of 8%. The characteristics of the risky funds are as follows:
Stock fund (S)
Bond fund (B)
Expected
Return
21%
13
The correlation between the fund returns is 0.13.
Req A1
Standard
Deviation
Required:
a-1. What are the investment proportions in the minimum-variance portfolio of the two risky funds?
a-2. What are the expected value and standard deviation of the minimum-variance portfolio rate of return?
36%
22
Complete this question by entering your answers in the tabs below.
Expected return
Standard deviation
Req A2
What are the expected value and standard deviation of the minimum-variance portfolio rate of return?
Note: Do not round intermediate calculations. Enter your answers as decimals rounded to 4 places.
Transcribed Image Text:A pension fund manager is considering three mutual funds. The first is a stock fund, the second a long-term bond fund, and the third is a money market fund that provides a safe return of 8%. The characteristics of the risky funds are as follows: Stock fund (S) Bond fund (B) Expected Return 21% 13 The correlation between the fund returns is 0.13. Req A1 Standard Deviation Required: a-1. What are the investment proportions in the minimum-variance portfolio of the two risky funds? a-2. What are the expected value and standard deviation of the minimum-variance portfolio rate of return? 36% 22 Complete this question by entering your answers in the tabs below. Expected return Standard deviation Req A2 What are the expected value and standard deviation of the minimum-variance portfolio rate of return? Note: Do not round intermediate calculations. Enter your answers as decimals rounded to 4 places.
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