EBK INVESTMENTS
11th Edition
ISBN: 9781259357480
Author: Bodie
Publisher: MCGRAW HILL BOOK COMPANY
expand_more
expand_more
format_list_bulleted
Question
Chapter 6, Problem 9CP
Summary Introduction
To calculate: The reward-to-volatility (Sharpe) ratio for the equity fund.
Introduction:
Reward-to-Volatility ratio is also called as Sharpe ratio. The ratio is useful when a risk premium on portfolio is to be compared with the total amount of the portfolio. The ratio can be calculated as follows:
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
You manage an equity fund with an expected risk premium of 14% and a standard deviation of 54%. The rate on Treasury bills is 6.8%. Your client chooses to invest $120,000 of her portfolio in your equity fund and $30,000 in a T-bill money market fund.(1) What is the expected return and standard deviation of return on your client’s portfolio?(2) What is the reward-to-volatility ratio for the equity fund?(3) What is the risk-aversion index of your client?
You manage an equity fund with an expected risk premium of 14% and a standard deviation of 54%. The rate on Treasury bills is 6.8%. Your client chooses to invest $120,000 of her portfolio in your equity fund and $30,000 in a T-bill money market fund.1. What is the risk-aversion index of your client?
You manage an equity fund with an expected risk premium of 11.2% and a standard deviation of 26%. The rate on Treasury bills is 4.2%. Your client chooses to invest $70,000 of her portfolio in your equity fund and $30,000 in a T-bill money market fund. What are the expected return and standard deviation of your client’s portfolio? (Round your answers to 2 decimal places.)
Chapter 6 Solutions
EBK INVESTMENTS
Ch. 6.A - Prob. 1PCh. 6.A - Prob. 2PCh. 6 - Prob. 1PSCh. 6 - Prob. 2PSCh. 6 - Prob. 3PSCh. 6 - Prob. 4PSCh. 6 - Prob. 5PSCh. 6 - Prob. 6PSCh. 6 - Prob. 7PSCh. 6 - Prob. 8PS
Ch. 6 - Prob. 9PSCh. 6 - Prob. 10PSCh. 6 - Prob. 11PSCh. 6 - Prob. 12PSCh. 6 - Prob. 13PSCh. 6 - Prob. 14PSCh. 6 - Prob. 15PSCh. 6 - Prob. 16PSCh. 6 - Prob. 17PSCh. 6 - Prob. 18PSCh. 6 - Prob. 19PSCh. 6 - Prob. 20PSCh. 6 - Prob. 21PSCh. 6 - Prob. 22PSCh. 6 - Prob. 23PSCh. 6 - Prob. 24PSCh. 6 - Prob. 25PSCh. 6 - Prob. 26PSCh. 6 - Prob. 27PSCh. 6 - Prob. 28PSCh. 6 - Prob. 29PSCh. 6 - Prob. 1CPCh. 6 - Prob. 2CPCh. 6 - Prob. 3CPCh. 6 - Prob. 4CPCh. 6 - Prob. 5CPCh. 6 - Prob. 6CPCh. 6 - Prob. 7CPCh. 6 - Prob. 8CPCh. 6 - Prob. 9CP
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, finance and related others by exploring similar questions and additional content below.Similar questions
- Suppose that the return for a particular large-cap stock fund is normally distributed with a mean of 14.4% and standard deviation of 4.4%. a. What is the probability that the large-cap stock fund has a return of at least 20%? b. What is the probability that the large-cap stock fund has a return of 10% or less?arrow_forwardBlair Rosen. Inc. (BR) is a brokerage firm that specializes in investment portfolios designed to meet the specific risk tolerances of its clients. A client who contacted BR this past week has a maximum of 50,000 to invest. BRs investment advisor decides to recommend a portfolio consisting of two investment funds: an Internet fund and a Blue Chip fund. The Internet fund has a projected annual return of 12%, and the Blue Chip fund has a projected annual return of 9%. The investment advisor requires that at most 35,000 of the clients funds should be invested in the Internet fund. BR services include a risk rating for each investment alternative. The Internet fund, which is the more risky of the two investment alternatives, has a risk rating of 6 per 1,000 invested. The Blue Chip fund has a risk rating of 4 per 1,000 invested. For example, if 10,000 is invested in each of the two investment funds, BRs risk rating for the portfolio would be 6(10) + 4(10) = 100. Finally. BR developed a questionnaire to measure each clients risk tolerance. Based on the responses, each client is classified as a conservative, moderate, or aggressive investor. Suppose that the questionnaire results classified the current client as a moderate investor. BR recommends that a client who is a moderate investor limit his or her portfolio to a maximum risk rating of 240. a. Formulate a linear programming model to find the best investment strategy for this client. b. Build a spreadsheet model and solve the problem using Solver. What is the recommended investment portfolio for this client? What is the annual return for the portfolio? c. Suppose that a second client with 50,000 to invest has been classified as an aggressive investor. BR recommends that the maximum portfolio risk rating for an aggressive investor is 320. What is the recommended investment portfolio for this aggressive investor? d. Suppose that a third client with 50,000 to invest has been classified as a conservative investor. BR recommends that the maximum portfolio risk rating for a conservative investor is 160. Develop the recommended investment portfolio for the conservative investor.arrow_forwardRequired: You manage an equity fund with an expected risk premium of 10% and a standard deviation of 14%. The rate on Treasury bills is 6%. Your client chooses to invest $60,000 of her portfolio in your equity fund and $40,000 in a T-bill money market fund. What are the expected return and standard deviation of your client’s portfolio? (Do not round intermediate calculations. Round your answers to 1 decimal place.) equired: You manage an equity fund with an expected risk premium of 10% and a standard deviation of 14%. The rate on Treasury bills is 6%. Your client chooses to invest $60,000 of her portfolio in your equity fund and $40,000 in a T-bill money market fund. What is the reward-to-volatility (Sharpe) ratio for the equity fund? (Round your answer to 4 decimal places.)arrow_forward
- What follows is a numeric fill in the blank question with 5 blanks.You manage an equity fund with an expected risk premium of 10% and an expected standard deviation of 14%. The rate on Treasury bills is 6%. Your client chooses to invest $60,000 of her portfolio in your equity fund and $40,000 in a T-bill money market fund. What is the expected return and standard deviation of return on your client’s portfolio? a. Expected return for equity fund: Blank 1. Fill in the blank, read surrounding text. %. b. Expected rate of return of the client’s portfolio: Blank 2. Fill in the blank, read surrounding text % c. Expected Return of the client's portfolio: $ Blank 3. Fill in the blank, read surrounding text. d. The standard deviation of the client's overall portfolio: Blank 4. Fill in the blank, read surrounding text. % (Round to one decimal place.) e. Calculate the Sharpe ratio for the equity fund: Blank 5. Fill in the blank, read surrounding text. (Round to TWO decimal places.)arrow_forwardA company's fund manager has a P20,000,000 portfolio with a beta of 0.75. The risk-free rate is 4.50% and the market risk premium is 5.00%.The manager expects to receive an additional P30,000,000, which she plans to invest in several stocks. After investing the additional funds, she wants the fund's required return to be 9.50%. 1. What is the required rate of return on the initial P20M investment? 2. What is the rate of return of all risky and risk-free securities? 3. To achieve the fund manager’s required return target, the funds should be invested in an investment with a beta of 4. Judge the overall riskiness of the P50M portfolio A. Aggressive B. Neutral C. Conservativearrow_forward1. You manage an equity fund, Panda Eyes, with an expected risk premium of 10% anda standard deviation of 14%. The risk-free rate is 6%. Your client chooses to invest£60,000 of their portfolio in your equity fund and £40,000 in the risk-free rate. # Calculate the expected return and standard deviation of the return onyour client’s portfolio.arrow_forward
- Assume that when investing in the risky portfolio, the investor must choose between just two risky assets: an equity fund and a corporate bond fund. The equity fund has an expected return of 35% and a standard deviation of 28%. The corporate bond fund has an expected return of 15% and a standard deviation of 15%. The equity fund and the corporate bond fund returns have a correlation of 0.30. The treasury bill rate is 6%. Suppose that the investor invests 61.31% of his allocation to the risky portfolio in the equity fund, and therefore 38.69% to the corporate bond fund. Assume that theses weights correspond to those of the optimal risky portfolio". Assume that the investor's risk aversion coefficient (A) equals 7.00. What is the composition of, expected return and standard deviation of the optimal risky portfolio?arrow_forwardElsie is an investor considering investing in an actively managed equity fund. The Fund has a return of 8%; the risk-free rate was 2% and the market portfolio returned 8%. The Fund had a target Beta of 1.40, but was actually 1.30. The fund had a standard deviation of 20%, and the market had a standard deviation of 12%. Calculate - Sharpe ratio Calculate - Treynor Ratioarrow_forwardA mutual fund manager has a $20 million portfolio with a beta of 0.75. The risk-free rate is 3.75%, and the market risk premium is 7.0%. The manager expects to receive an additional $5 million, which she plans to invest in a number of stocks. After investing the additional funds, she wants the fund's required return to be 12%. What should be the average beta of the new stocks added to the portfolio? Negative value, if any, should be indicated by a minus sign. Do not round intermediate calculations. Round your answer to two decimal places.arrow_forward
- A mutual fund manager has a $20 million portfolio with a beta of 2.8. The risk-free rate is 2.5%, and the market risk premium is 5%. The manager expects to receive an additional $5 million, which she plans to invest in a number of stocks. After investing the additional funds, she wants the fund's required return to be 15%. What should be the average beta of the new stocks added to the portfolio? Negative value, if any, should be indicated by a minus sign. Do not round intermediate calculations. Round your answer to one decimal place.arrow_forwardSuppose you are the money manager of a $4 million investment fund. The fund consists of four stocks with the following investments and betas: Stock Investment Beta A $300,000 1.25 B 700,000 (0.75) C 1,500,000 1.00 D 1,500,000 0.75 If the market's return in 12% and the risk-free rate is 5%, what is the fund's required rate of return (You must calculate the fund's beta, then its required rate of return).arrow_forwardElsie is an investor considering investing in an actively managed equity fund. The Fund has a return of 8%; the risk-free rate was 2% and the market portfolio returned 8%. The Fund had a target Beta of 1.40, but was actually 1.30. The fund had a standard deviation of 20%, and the market had a standard deviation of 12%. a. Calculate - Sharpe ratio b. Calculate - Treynor Ratio c. Discuss whether Elsie should consider using the Sharpe ratio or the Treynor ratio to discuss portfolio performance d. Define the Sortino ratio and explain its advantage E)Using Fama Decomposition, calculate: - Return from Investor's risk - Return from Manager's risk - Return from Diversification - Return from Net Selectivityarrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- EBK CONTEMPORARY FINANCIAL MANAGEMENTFinanceISBN:9781337514835Author:MOYERPublisher:CENGAGE LEARNING - CONSIGNMENTEssentials of Business Analytics (MindTap Course ...StatisticsISBN:9781305627734Author:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. AndersonPublisher:Cengage LearningIntermediate Financial Management (MindTap Course...FinanceISBN:9781337395083Author:Eugene F. Brigham, Phillip R. DavesPublisher:Cengage Learning
- Pfin (with Mindtap, 1 Term Printed Access Card) (...FinanceISBN:9780357033609Author:Randall Billingsley, Lawrence J. Gitman, Michael D. JoehnkPublisher:Cengage Learning
EBK CONTEMPORARY FINANCIAL MANAGEMENT
Finance
ISBN:9781337514835
Author:MOYER
Publisher:CENGAGE LEARNING - CONSIGNMENT
Essentials of Business Analytics (MindTap Course ...
Statistics
ISBN:9781305627734
Author:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Publisher:Cengage Learning
Intermediate Financial Management (MindTap Course...
Finance
ISBN:9781337395083
Author:Eugene F. Brigham, Phillip R. Daves
Publisher: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
Investing For Beginners (Stock Market); Author: Daniel Pronk;https://www.youtube.com/watch?v=6Jkdpgc407M;License: Standard Youtube License