INVESTMENTS(LL)W/CONNECT
11th Edition
ISBN: 9781260433920
Author: Bodie
Publisher: McGraw-Hill Publishing Co.
expand_more
expand_more
format_list_bulleted
Question
Chapter 6, Problem 29PS
a.
Summary Introduction
To identify: Proportion of y in passive portfolio.
Introduction: Passive portfolio refers to the creation of portfolio where the investor makes a long term investment in the securities and affected by the short term fluctuation.
b.
Summary Introduction
To calculate: The fee that make the client indifferent between fund and passive strategy.
Introduction: Sharpe ratio measure the extra reward per unit of risk. Investor seeks larger Sharpe ratios to maximize their return for the risk they take.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Assume that there is a portfolio with an E(r) =20% and σ = 30%. Also, the risk-free rate of return on T-Bills is 7%. If you are a risk-averse investor with degree of risk aversion A=4 would you invest in the risky portfolio or in the risk free asset? And what if your A=2? Assume that there is a portfolio with an E(r) =20% and σ = 30%. Also, the risk-free rate of return on T-Bills is 7%. If you are a risk-averse investor with degree of risk aversion A=4 would you invest in the risky portfolio or in the risk free asset? And what if your A=2?
Give typing answer with explanation and conclusion
Assume that your client would prefer to invest her entire wealth into a portfolio with an annual risk premium of 6% and a standard deviation of 12%. You have constructed a risky portfolio with an expected return of 10% and a standard deviation of 15%. T-Bills are currently yielding 4%. What is the optimal allocation, y, to the risky portfolio given your client's risk preferences? What is the expected return and standard deviation on your client's optimal complete portfolio?
You manage a risky portfolio with an expected rate of return of 17% and a standard deviation of 28%. The T-bill rate is 7%. Your client's
degree of risk aversion is A = 2.0, assuming a utility function u E(r)
=
A0².
a. What proportion, y, of the total investment should be invested in your fund? (Do not round intermediate calculations. Round your
answer to 2 decimal places.)
Investment proportion y
Expected return
Standard deviation
-
%
b. What are the expected value and standard deviation of the rate of return on your client's optimized portfolio? (Do not round
intermediate calculations. Round your answers to 2 decimal places.)
%
%
Chapter 6 Solutions
INVESTMENTS(LL)W/CONNECT
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
- An investor can design a risky portfolio based on two stocks, A and B. Stock A has an expected return of 15% and a standard deviation of return of 25%. Stock B has an expected return of 10% and a standard deviation of return of 20%. The correlation coefficient between the returns of A and B is 0.5. The risk-free rate of return in this economy is 4%. The investor wishes to construct an optimal risky E[rp]-rf portfolio (i.e. the portfolio with the highest Sharpe ratio = -). The proportion of the optimal risky portfolio that should be invested in stock A is 65.14% 82.25% 71.15% 74.36% 68.20%arrow_forwardYou manage a risky portfolio with an expected rate of return of 17% and a standard deviation of 36%. The T-bill rate is 6%. Your client's degree of risk aversion is A = 3.1, assuming a utility function u = E(r) A02. a. What proportion, y, of the total investment should be invested in your fund? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Investment proportion y % b. What are the expected value and standard deviation of the rate of return on your client's optimized portfolio? (Do not round intermediate calculations. Round your answers to 2 decimal places.) Expected return % Standard deviation %arrow_forwardSuppose an investor uses two stocks A and B to build a risky portfolio. The following information is given: E(r_A)=10%,E(r_B)=12%,0_A=15%,o_B=20%, p_AB=0.4,r_f=2%. Denote the optimal risky portfolio investor can achieve with the highest Sharpe ratio by portfolio O. Calculate the weights of A and B (w_A and w_B) in the optimal risky portfolio O. Calculate the expected return and standard deviation of return for portfolio O. Calculate the Sharpe ratio of portfolio O.arrow_forward
- You manage a risky portfolio with an expected rate of return of 22% and a standard deviation of 34%. The T-bill rate is 6%. Your client's degree of risk aversion is A = 1.7. Required: a. What proportion, y, of the total investment should be invested in your fund? b. What are the expected value and standard deviation of the rate of return on your client's optimized portfolio? Complete this question by entering your answers in the tabs below. Required A Required B What proportion, y, of the total investment should be invested in your fund? Note: Round your answer to 2 decimal places. Investment proportion y %arrow_forwardThe risky portfolio expected return and standard deviation is 14% and 20%, respectively. The risk free rate is 5%. The risk aversion coefficient A is 2.5 and 4 for Mary and Kim, respectively. Answer the following questions: A. Who is more risk averse? B. What is the capital allocation y to the risky portfolio for each investor? C. Suppose investors have the following utility function: U = E(R) - ¹2 Ao² Calculate the Utility level for each investor's optimal complete portfolio.arrow_forwardAn investor can design a risky portfolio based on two stocks, X and Y. Stock X has an expected return of 13% and a standard deviation of return of 15%. Stock Y has an expected return of 16% and a standard deviation of return of 19%. The correlation coefficient between the returns of X and Y is 0.15. The risk-free rate of return is 3%. How much does the investor need to invest in each stock to create the optimal portfolio? O Wx=40% and Wy=60% Wx=45% and Wy=55% Wx-50% and Wy=50% Wx-55% and Wy=45% Wx-60% and Wy=40%arrow_forward
- "An investor can design a risky portfolio based on two stocks, A and B. Stock A has an expected return of 9.5% and a standard deviation of return of 8%. Stock B has an expected return of 5% and a standard deviation of return of 2% . The correlation coefficient between the returns of A and B is 0.75. The risk - free rate of return is 3.5 % . The expected return on the optimal risky portfolio is Note: Express your answers in strictly numerical terms. For example, if the answer is 5%, write 0.05"arrow_forwardYou manage a risky portfolio with an expected rate of return of 18% and a standard deviation of 28%. The T-bill rate is 8%. Your client’s degree of risk aversion is A = 3.5.a. What proportion, y, of the total investment should be invested in your fund?b. What is the expected value and standard deviation of the rate of return on your client’s optimized portfolio?arrow_forwardAn investor wishes to contruct a portfolio consisting of security 1 and security 2. the expected return on the two securities are E(R1) = 0.08 And E(R2) = 0.12 and the standard deviation 1 = 0.04 and Standard deviation 2 = 0.06. the correlation coefficient between thier returns is P1,2 = -0.5. Investor is free to choose the investment proportions W1 And W2 only to requirment that w1+w2=1 and both w1 and w2 are positive.There is no limit to the number of portfolios that meet thses requirements, since there is no limit to the number of proportions that sum to 1. Therefore a representative selection of values is considered w1: 0, 0.2, 0.4, 0.6, 0.8, and 1arrow_forward
- You manage a risky portfolio with an expected rate of return of 18% and a standard deviation of 30%. The T-bill rate is 6%. Your client’s degree of risk aversion is A = 3.4, assuming a utility function U = E(r) - ½Aσ². a. What proportion, y, of the total investment should be invested in your fund? (Do not round intermediate calculations. Round your answer to 2 decimal places.) b. What is the expected value and standard deviation of the rate of return on your client’s optimized portfolio? (Do not round intermediate calculations. Round your answers to 2 decimal places.)arrow_forwardYou compute the optimal risky portfolio to have the expected return of 12% and standard deviation of 20%. The risk free rate is 4%. In the complete portfolio of risk free asset and the optimal risk portfolio, what fraction of his investment will a risk averse investor invest in risky portfolio if his risk aversion index A-3. O 20 O 40 0.67 O.80 O None of abovearrow_forwardYou manage a risky portfolio with an expected rate of return of 19% and a standard deviation of 34%. The T-bill rate is 8%. Suppose that your client prefers to invest in your fund a proportion y that maximizes the expected return on the complete portfolio subject to the constraint that the complete portfolio's standard deviation will not exceed 19%. a. What is the investment proportion, y? (Round your answer to 2 decimal places.) Investment proportion y b. What is the expected rate of return on the complete portfolio? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Rate of return % %arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Essentials Of InvestmentsFinanceISBN:9781260013924Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.Publisher:Mcgraw-hill Education,
- Foundations Of FinanceFinanceISBN:9780134897264Author:KEOWN, Arthur J., Martin, John D., PETTY, J. WilliamPublisher:Pearson,Fundamentals of Financial Management (MindTap Cou...FinanceISBN:9781337395250Author:Eugene F. Brigham, Joel F. HoustonPublisher:Cengage LearningCorporate Finance (The Mcgraw-hill/Irwin Series i...FinanceISBN:9780077861759Author:Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Jeffrey Jaffe, Bradford D Jordan ProfessorPublisher:McGraw-Hill Education
Essentials Of Investments
Finance
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Mcgraw-hill Education,
Foundations Of Finance
Finance
ISBN:9780134897264
Author:KEOWN, Arthur J., Martin, John D., PETTY, J. William
Publisher:Pearson,
Fundamentals of Financial Management (MindTap Cou...
Finance
ISBN:9781337395250
Author:Eugene F. Brigham, Joel F. Houston
Publisher:Cengage Learning
Corporate Finance (The Mcgraw-hill/Irwin Series i...
Finance
ISBN:9780077861759
Author:Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Jeffrey Jaffe, Bradford D Jordan Professor
Publisher:McGraw-Hill Education
Chapter 8 Risk and Return; Author: Michael Nugent;https://www.youtube.com/watch?v=7n0ciQ54VAI;License: Standard Youtube License