EBK INVESTMENTS
11th Edition
ISBN: 9781259357480
Author: Bodie
Publisher: MCGRAW HILL BOOK COMPANY
expand_more
expand_more
format_list_bulleted
Question
Chapter 7, Problem 10PS
Summary Introduction
To calculate: The Investment proportion of the portfolio is to be determined when the required expected return is 14%. The standard deviation in this question is to be compared with the optimized portfolio of the previous problem.
Introduction: The portfolio risk is defined as the combination of assets which carries its own risk with each investment.
The standard deviation is used to determine that in which manner the values from a data set vary from its mean value. This is calculated by the square root of the variance.
The expected return is defined as the return which is obtained on the risky asset that is expected in future.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
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)
Exp.
Return
Bond
fund (B)
0.43
15%
O 1.00
0.70
11%
The correlation between the fund returns is 0.2.
Solve numerically for the Sharpe Ratio of the optimal risky portfolio.
0.66
Std.
Deviation
0.85
26%
12%
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 7%. The characteristics of the risky funds are as follows:
Stock fund (S)
Bond fund (B)
The correlation between the fund returns is 0.10.
You require that your portfolio yield an expected return of 16%, 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.)
Standard deviation
Expected Return Standard Deviation
198
31%
23
14
Money market fund
Stocks
Bonds
19.33 %
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
Solve it correctly please.
Chapter 7 Solutions
EBK INVESTMENTS
Ch. 7 - Prob. 1PSCh. 7 - Prob. 2PSCh. 7 - Prob. 3PSCh. 7 - Prob. 4PSCh. 7 - Prob. 5PSCh. 7 - Prob. 6PSCh. 7 - Prob. 7PSCh. 7 - Prob. 8PSCh. 7 - Prob. 9PSCh. 7 - Prob. 10PS
Ch. 7 - Prob. 11PSCh. 7 - Prob. 12PSCh. 7 - Prob. 13PSCh. 7 - Prob. 14PSCh. 7 - Prob. 15PSCh. 7 - Prob. 16PSCh. 7 - Prob. 17PSCh. 7 - Prob. 18PSCh. 7 - Prob. 19PSCh. 7 - Prob. 20PSCh. 7 - Prob. 21PSCh. 7 - Prob. 22PSCh. 7 - Prob. 23PSCh. 7 - Prob. 1CPCh. 7 - Prob. 2CPCh. 7 - Prob. 3CPCh. 7 - Prob. 4CPCh. 7 - Prob. 5CPCh. 7 - Prob. 6CPCh. 7 - Prob. 7CPCh. 7 - Prob. 8CPCh. 7 - Prob. 9CPCh. 7 - Prob. 10CPCh. 7 - Prob. 11CPCh. 7 - Prob. 12CPCh. 7 - Prob. 13CP
Knowledge Booster
Similar questions
- 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 7%. The characteristics of the risky funds are as follows: Expected Return Standard. Deviation Stock fund (S) 32% Bond fund (B) 19 The correlation between the fund returns is 0.11. Solve numerically for the proportions of each asset and for the expected return and standard deviation of the optimal risky portfolio. Note: Do not round intermediate calculations. Enter your answers as decimals rounded to 4 places. 22% 12arrow_forwardA 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 9%. The characteristics of the risky funds are as follows: Stock fund (S) Bond fund (B) Expected Return 19% 12 Standard Deviation 32% 15 The correlation between the fund returns is 0.11. 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 stock Portfolio invested in the bond Expected return Standard deviationarrow_forwardA 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 6%. The probability distribution of the risky funds is as follows: E(r) st. dev. stock fund .24 .33 bond fund .14 .22 The correlation between the fund returns is 0.14. You require that your portfolio yield an expected return of 16%, and that it be efficient, on the best feasible CAL. a. What is the standard deviation of your portfolio? (Round your answer to 2 decimal places.) b. What is the proportion invested in the T-bill fund and each of the two risky funds? (Round your answers to 2 decimal places.)arrow_forward
- 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 6%. The characteristics of the risky funds are as follows: Stock fund (S) Bond fund (B) Expected Return 16% 12 Standard Deviation 35% 15 The correlation between the fund returns is 0.13. 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.)arrow_forwardA 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%. Thecharacteristics of the risky funds are as follows: The correlation between the fund returns is 0.13. Yourequire that your portfolio yield an expected return of 12%, and that it be efficient, that is, on the steepestfeasible CAL. a. What is the standard deviation of your portfolio? (Round your answer to 2 decimal places.)Standard deviation b. What is the proportion invested in the money market fund and each of the two riskyfunds? (Round your answers to 2 decimal places.)arrow_forwardPlease answer fast I give you upvote.arrow_forward
- 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: Expected Return. Stock fund (5) Bond fund (B) The correlation between the fund returns is 0.10. 19% 14 Reg 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? 31% 23 Complete this question by entering your answers in the tabs below. Reg 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.arrow_forwardA 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 5.9%. The probability distribution of the risky funds is as follows: Stock fund (5) Bond fund (8) Expected Return 20% The correlation between the fund returns is 0.19 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 and round your final answers to 2 decimal places. Omit the "%" sign in your response.) Portfollo invested in the stock Portfolio invested in the bond Expected retur Standard deviation % Standard Deviation 49% 41 %arrow_forwardA 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) Bond fund (B) The correlation between the fund returns is 0.09. You require that your portfolio yield an expected return of 14%, and that it be efficient, that is, on the steepest feasible CAL. 17% 14 35% 18. Required: a. What is the standard deviation of your portfolio? b. What is the proportion invested in the money market fund and each of the two risky funds?arrow_forward
- 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 6%. The characteristics of the risky funds are as follows: Stock fund (S) Bond fund (B) Expected Return 21% 12 Standard Deviation 28% 18 The correlation between the fund returns is 0.09. Sharpe ratio 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.)arrow_forwardA 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: Expected Standard Stock fund (S) Return Deviation 30% 15 20% 12 Bond fund (B) The correlation between the fund returns is 0.10. Solve numerically for the proportions of each asset and for the expected return and standard deviation of the optimal risky portfolio. 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 Expected return Standard deviationarrow_forwardA 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 17% Standard Deviation 38% 13 18 The correlation between the fund returns is 0.12. 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? Complete this question by entering your answers in the tabs below. Req A1 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. Expected return Standard deviationarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Pfin (with Mindtap, 1 Term Printed Access Card) (...FinanceISBN:9780357033609Author:Randall Billingsley, Lawrence J. Gitman, Michael D. JoehnkPublisher:Cengage Learning
Pfin (with Mindtap, 1 Term Printed Access Card) (...
Finance
ISBN:9780357033609
Author:Randall Billingsley, Lawrence J. Gitman, Michael D. Joehnk
Publisher:Cengage Learning