Essentials of Investments (The Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
10th Edition
ISBN: 9780077835422
Author: Zvi Bodie Professor, Alex Kane, Alan J. Marcus Professor
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 5, Problem 15PS
For Problems 12-16, assume that you manage a risky portfolio with an expected
15. You estimate that a passive portfolio invested to mimic the S&P 500 stock index provides an expected rate of return of 13% with a standard deviation 25%. Draw the CML and your fund’s CAL on an expected return/standard deviation diagram. (LO 5-4)
a. What the sloped the CML?
b. Characterize in one short paragraph the advantage of your fund over the index fund.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
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.)
%
%
You 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
%
You estimate that a passive portfolio, for example, one invested in a risky portfolio that mimics the S&P 500 stock index, offers an expected rate of return of 13% with a standard deviation of 25%. You manage an active portfolio with expected return 18% and standard deviation 28%. The risk-free rate is 8%.Draw the CML and your funds’ CAL on an expected return–standard deviation diagram. What is the slope of the CML?
Chapter 5 Solutions
Essentials of Investments (The Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
Ch. 5 - Prob. 1PSCh. 5 - Prob. 2PSCh. 5 - When estimating a Sharpe ratio, would it make...Ch. 5 - You’ve just decided upon your capital allocation...Ch. 5 - Prob. 5PSCh. 5 - The stock of Business Adventures sells for $40 a...Ch. 5 - Prob. 7PSCh. 5 - a. Suppose you forecast that the standard...Ch. 5 - Using the historical risk premiums as your guide,...Ch. 5 - What has been the historical average real rate of...
Ch. 5 - Consider a risky portfolio. The end-of-year cash...Ch. 5 - For Problems 12-16, assume that you manage a risky...Ch. 5 - For Problems 12-16, assume that you manage a risky...Ch. 5 - For Problems 12-16, assume that you manage a risky...Ch. 5 - For Problems 12-16, assume that you manage a risky...Ch. 5 - For Problems 12-16, assume that you manage a risky...Ch. 5 - Prob. 17PSCh. 5 - You manage an equity fund with an expected risk...Ch. 5 - What is the reward-to--volatility (Sharpe) ratio...Ch. 5 - Download the annual returns on the combined...Ch. 5 - A portfolio of nondividend-paying stocks earned a...Ch. 5 - Which of the following statements about the...Ch. 5 - Which of the following statements reflects the...Ch. 5 - Use the following data in answering CFA Questions...Ch. 5 - Prob. 5CPCh. 5 - Lise the following data in answerifng CFA Question...Ch. 5 - Use the following scenario analysis for stocks X...Ch. 5 - Prob. 8CPCh. 5 - Use the following scenario analysis for stocks X...Ch. 5 - 10. Probabilities for three states of the economy...Ch. 5 - 11. An analyst estimates that a stock has the...Ch. 5 - Prob. 1WMCh. 5 - Prob. 2WMCh. 5 - Prob. 3WM
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
- You estimate that a passive portfolio, that is, one invested in a risky portfolio that mimics the S&P 500 stock index, yields an expected rate of return of 13% with a standard deviation of 25%. You manage an active portfolio with expected return 18% and standard deviation 28%. The risk-free rate is 8%. i) Draw the CML and your funds' CAL on an expected return-standard deviation diagram. ii) What is the slope of the CML? iii) Characterize in one short paragraph the advantage of your fund over the passive fund.arrow_forwardYou manage a risky portfolio with an expected rate of return of 18% and a standard deviation of 29%. The T-bill rate is 5%. 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 18%. 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_forward4. You estimate that a passive portfolio, that is, one invested in a risky portfolio that mimics the S&P 500 stock index, yields an expected rate of return of 13% with a standard deviation of 25%. You manage an active port- folio with expected return 18% and standard deviation 28%. The risk-free rate is 8%. a) Calculate and interpret the return of the P* portfolio b) Draw the CML and your funds’ CAL on an expected return–standard deviation diagram. c) Explain in one short paragraph the advantage/disadvantage of your P* over the passive fund. d) Your client ponders whether to switch the 70%of his wealth to the passive portfolio. Explain to your client the disadvantage/advantage of the switch.arrow_forward
- 2. Please help and explainarrow_forward5. The universe of available securities includes two risky stock funds, A and B, and T-bills. The data for the universe are as follows: A B T-bills Expected Return 10% 30% 5 Standard Deviation 20% 60% 0 The correlation coefficient between funds A and B is -0.2. a. Compute the covariance between the funds. b. Find the optimal risky portfolio, P, and its expected return and standard deviation. c. Find the slope of the CAL supported by T-bills and portfolio P. d. How much will an investor with A = 5 invest in funds A and B and in T-bills?arrow_forwardYou manage a risky portfolio with an expected rate of return of 19% and a standard deviation of 31%. The T-bill rate is 5%. 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.) b. What is the expected rate of return on the complete portfolio? (Do not round intermediate calculations. Round your answer to 2 decimal places.)arrow_forward
- You manage a risky portfolio with an expected rate of return of 19% and a standard deviation of 32%. The T-bill rate is 7%. Your client’s degree of risk aversion is A = 3.3, 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_forwardPLEASE SHOW USING EXCEL You estimate that a passive portfolio, that is, one invested in a risky portfolio that mimics the S&P 500 stock index, yields an expected rate of return of 13% with a standard deviation of 25%. You manage an active portfolio with expected return 18% and standard deviation 28%. The risk-free rate is 8%. 1- Draw the CML and your funds’ CAL on an expected return–standard deviation diagram. 2- What is the slope of the CML? 3- Characterize in one short paragraph the advantage of your fund over the passive fund. 4- Your client ponders whether to switch the 70% that is invested in your fund to the passive portfolio. Explain to your client the disadvantage of the switch. 5- Show him the maximum fee you could charge (as a percentage of the investment in your fund, deducted at the end of the year) that would leave him at least as well off investing in your fund as in the passive one. (Hint: The fee will lower the slope of his CAL by reducing the expected…arrow_forwardD5)arrow_forward
- As an equity analyst, you have developed the following return forecasts and risk estimates for two different stock mutual funds (Fund T and Fund U): Forecasted Return CAPM Beta Fund T 9.00% 1.20 Fund U 10.00% 0.80 f the risk-free rate (RFR) is 3.9% and the expected market risk premium (i.e., E(Ra) – RFR) is 6.1%, calculate the expected return for each mutual fund according to the 3.а. САРМ.arrow_forwardSuppose you are the money manager of a P4.0 investment portfolio consists of stocks with the following investment and betas: Stock Beta S 1.5 T (0.50) A 1.25 R 0.75 If the market required return is 14% and the risk free rate is 6%,a) What is the portfolio beta?b) What is the portfolio required rate of return?arrow_forwardThe expected return of a portfolio that is totally invested in the risk free asset is caclculated as: E(R) = WA * E(RA) Wf * E(RB) = 0 * 0.16 1.0 * 0.08 = 0 0.08 = 0.08 or 8% Therefore the expected return of a portfolio with risk free asset is 8% There is no standard deviation for the risk free asset. Please full Explainarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
EBK CONTEMPORARY FINANCIAL MANAGEMENTFinanceISBN:9781337514835Author:MOYERPublisher:CENGAGE LEARNING - CONSIGNMENT
EBK CONTEMPORARY FINANCIAL MANAGEMENT
Finance
ISBN:9781337514835
Author:MOYER
Publisher:CENGAGE LEARNING - CONSIGNMENT
Chapter 8 Risk and Return; Author: Michael Nugent;https://www.youtube.com/watch?v=7n0ciQ54VAI;License: Standard Youtube License