Problem 7-7A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a long-term bond fund, and the thirdis 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 Return17%14Standard Deviation35%18The correlation between the fund returns is 0.09.Solve numerically for the proportions of each asset and for the expected return and standard deviation of the optimal risky portfolio.(Do not round intermediate calculations. Enter your answers as decimals rounded to 4 places.)Portfolio invested in the stockPortfolio invested in the bondExpected returnStandard deviation

Step 1: Determine the optimal weightsThe weights of the stock fund (S) and bond fund (B) in the…

Answered: Problem 7-7 A pension fund manager is…

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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INV 1 6d You have decided to invest in three mutual funds: one in equities, one in long corporate and government bonds, and a money market fund invested in T-bills yielding 5%. Your estimate of the relevant parameters for the equities and bond funds are as follows: Expected Return Standard Deviation Equities .15 .30 Bonds .06 .09 The correlation between the fund returns is 0.12. Without the money market fund, what would be the weights of a portfolio on the best feasible CAL, composed of the equities and bond funds which would be expected to return 10%, and what would be its standard deviation?
Problem 7-8 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: Stock fund (S) Bond fund (B) Expected Return 23% 14 Standard Deviation The correlation between the fund returns is 0.12. Sharpe ratio 29% 17 What is the Sharpe ratio of the best feasible CAL? (Do not round intermediate calculations. Enter your answer as a decimal rounded to 4 places.) Check my work
INV 1 6f You have decided to invest in three mutual funds: one in equities, one in long corporate and government bonds, and a money market fund invested in T-bills yielding 5%. Your estimate of the relevant parameters for the equities and bond funds are as follows: Expected Return Standard Deviation Equities .15 .30 Bonds .06 .09 The correlation between the fund returns is 0.12. Compare the portfolios in #4 and #5. Is this consistent with what you would expect when adding the T-bill money market fund as essentially the risk-free asset?
Problem 6-6 (Algo) Consider the following table: Scenario Probability Stock Fund Rate of Return Bond Fund Rate of Return Severe recession 0.10 -44% -11% Mild recession 0.20 -24% 17% Normal growth 0.40 29% 10% Boom 0.30 34% -7% Required: a. Calculate the values of mean return and variance for the stock fund. (Do not round intermediate calculations. Round "Mean return" value to 1 decimal place and "Variance" to 2 decimal places.) b. Calculate the value of the covariance between the stock and bond funds. (Negative value should be indicated by a minus sign. Do not round intermediate calculations. Round your answer to 2 decimal places.)
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Fund A Fund B Expected Ret. E(r) 13.2% 8.3% Standard Deviation - \sigma 15.5% 14.7% The table above contains expected annual returns for funds A and B. Assuming that the risk free rate is 1.34% and that the correlation of returns between funds A and B is 0.32, calculate the weight of Fund A in the Optimal two - risky asset portfolio comprised of funds A and B. Note: Enter your answer in percentages rounded to the nearest one digit after the decimal point. For example, if the weight of Fund A is 15.437% or 0.15437, enter it as: 15.4
Question 11: You regress the monthly returns of XYZ fund for the past five years against three factors (i.e. Market factor = 1.2, SMB factor = −0.3, HML factor = 1.4)). What do these coefficient values mean and what type of stocks does the fund probably hold?
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 (8) Expected Return 16% 10% The correlation between the fund returns is 0.10. Standard Deviation 32% 23% 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
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