Required information [The following information applies to the questions displayed below.] A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a long-term government and corporate bond fund, and the third is a T-bill money market fund that yields a sure rate of 5.5%. The probability distributions of the risky funds are: Stock fund (S) Bond fund (B) The correlation between the fund returns is 0.11. Required: What is the expected return and standard deviation for the minimum-variance portfolio of the two risky funds? (Do round intermediate calculations. Round your answers to 2 decimal places.) Expected Return Standard Deviation 16% 34% 10% 25% Answer is complete but not entirely correct. 0.16% Expected return Standard deviation 0.20 %

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
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### Required Information

[A pension fund manager is considering three mutual funds: a stock fund, a long-term government and corporate bond fund, and a T-bill money market fund with a sure rate of 5.5%. The probability distributions of the risky funds are provided below.]

|                 | Expected Return | Standard Deviation |
|-----------------|-----------------|--------------------|
| Stock fund (S)  | 16%             | 34%                |
| Bond fund (B)   | 10%             | 25%                |

The correlation between the fund returns is 0.11.

### Required:

The task is to determine the expected return and standard deviation for the minimum-variance portfolio consisting of the two risky funds. Intermediate calculations should not be rounded, and final answers should be presented to two decimal places.

**Note:** The current answer provided is labeled as complete but not entirely correct.

- **Expected Return:** 0.16%
- **Standard Deviation:** 0.20%
Transcribed Image Text:### Required Information [A pension fund manager is considering three mutual funds: a stock fund, a long-term government and corporate bond fund, and a T-bill money market fund with a sure rate of 5.5%. The probability distributions of the risky funds are provided below.] | | Expected Return | Standard Deviation | |-----------------|-----------------|--------------------| | Stock fund (S) | 16% | 34% | | Bond fund (B) | 10% | 25% | The correlation between the fund returns is 0.11. ### Required: The task is to determine the expected return and standard deviation for the minimum-variance portfolio consisting of the two risky funds. Intermediate calculations should not be rounded, and final answers should be presented to two decimal places. **Note:** The current answer provided is labeled as complete but not entirely correct. - **Expected Return:** 0.16% - **Standard Deviation:** 0.20%
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