A pension fund manager is considering three mutual funds. The first is a stock fund, thesecond is a long-term government and corporate bond fund, and the third is a T-billmoney market fund that yieldstwo risky funds are:a sure rate of 5.8%. The probability distributions of theExpectedReturn19%StandardDeviationStock fund (S)Bond fund (B)48%42%9%The correlation between the two fund returns is .0762What is the expected return and standard deviation for the minimum-variance portfolioof the two risky funds? (Do not round intermediate calculations. Enter your answer asa percentage rounded to two decimal places.)Expected returnStandard deviation

Cov (S,B) is calculated as follows:

Answered: A pension fund manager is considering…

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

Problem 1PS

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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 Bond fund Expected Return 17% 11 Standard Deviation 34% 25 The correlation between the fund returns is 0.15. Required: What is the Sharpe ratio of the best feasible CAL? (Do not round intermediate calculations. Round your answer to 4 decimal places.) Sharpe ratio
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 0.20. Expected Return 16% 10% Expected return Standard deviation Required: What is the expected return and standard deviation for the minimum-variance portfolio of the two risky funds? (Do not round intermediate calculations. Round your answers to 2 decimal places.) % % Standard Deviation 36% 27%
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 (5) Bond fund (D) Expected Return 20% 12 The correlation between the fund returns is 0.10. You require that your portfolio yield an expected return of 14%, and that it be efficient, that is, on the steepest feasible CAL a. What is the standard deviation of your portfolio? (Round your answer to 2 decimal places.) T-bill fund Stocks Bonda Standard Deviation 30% 15 Standard deviation 13.92% b. What is the proportion invested in the money market fund and each of the two risky funds? (Round your answers to 2 decimal places.) Proportion Invested
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 rate of 8%. The probability distribution of the risky funds is as follows: Expected Return Standard Deviation Stock fund (S) 16% 32% Bond fund (B) 10% 23% The correlation between the fund returns is 0.20. Suppose now that your portfolio must yield an expected return of 13% and be efficient, that is, on the best feasible CAL. What is the standard deviation of your portfolio? b-1. What is the proportion invested in the T-bill fund? b-2. What is the proportion invested in each of the two risky funds?
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 5%. The characteristics of the risky funds are as follows: Stock fund (S) Bond fund (B) Expected Return 17% 13 Standard Deviation 38% 18 The correlation between the fund returns is 0.12. Sharpe ratio What is the Sharpe ratio of the best feasible CAL? Note: Do not round intermediate calculations. Enter your answer as a decimal rounded to 4 places.
You have been given the following return information for a mutual fund, the market index, and the risk-free rate. You also know that the return correlation between the fund and the market is 0.97. Year 2018 2019 2020 2021 2022 Fund -14.85% 25.1 12.9 7.2 -1.5 Market -29.5% 20.0 10.9 8.0 -3.2 Risk-Free 3% 5 2 5 What are the Sharpe and Treynor ratios for the fund? Note: Do not round intermediate calculations. Round your answers to 4 decimal places. Answer is complete but not entirely correct. Sharpe ratio Treynor ratio 0.1613 2.8377
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As an individual investor, you have three funds to invest into. The first is an equity fund, the second is a corporate bond fund, and the third is a T-bill money-market fund (your risk-free asset). Fund Expected rate of return Risk (Standard deviation) Equity fund 16% 32% Corporate bond fund 12% 18% T-bill money market fund 2% Correlation between equity fund and bond fund returns is 0.4. Find the Expected return of the minimum variance portfolio formed from Equity and Bond funds
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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 4%. The characteristics of the risky funds are as follows: Expected Return Standard Deviation Stock fund (S) 19 % 34 % Bond fund (B) 10 18 The correlation between the fund returns is 0.11. What is the Sharpe ratio of the best feasible CAL?

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