CONNECT WITH LEARNSMART FOR BODIE: ESSE
11th Edition
ISBN: 2819440196246
Author: Bodie
Publisher: MCG
expand_more
expand_more
format_list_bulleted
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 solutionStudents have asked these similar questions
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?
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 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 5 Solutions
CONNECT WITH LEARNSMART FOR BODIE: ESSE
Ch. 5 - Prob. 1PSCh. 5 - The real interest rate approximately equals the...Ch. 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 - 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 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_forwardYou 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_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_forward
- 4. 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_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_forwardYou 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_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 If the risk-free rate (RFR) is 3.9% and the expected market risk premium (ie., E(Ra) – RFR) is 6.1%, calculate the expected return for each mutual fund according to the 3.а. САРМ. 3.b. Decide which fund is overvalued, undervalued or properly valued and explain why?arrow_forwardAs 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_forwardAssume that you manage a risky portfolio with an expected rate of return of 14% and a standard deviation of 46%. The T-bill rate is 4%. Your client chooses to invest 85% of a portfolio in your fund and 15% in a T-bill money market fund. Required: a. What are the expected return and standard deviation of your client's portfolio? (Round your answers to 1 decimal place.) Expected retum Standard deviation b. Suppose your risky portfolio includes the following investments in the given proportions: 30% 30 40 Stock A Stock B Stock C What are the investment proportions of your client's overall portfolio, including the position in T-bills? (Round your answers to 1 decimal place.) Security T-Bills Stock A Stock B Stock C Investment Proportions % per year % per year % % % % Risky portfolio Client's overall portfolio c. What is the reward-to-volatility ratio (S) of your risky portfolio and your client's overall portfolio? (Round your answers to 4 decimal places.) Reward-to-Volatility Ratioarrow_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): Fund T Fund U Forecasted Return 9.0% 10.0 CAPM Beta 1.20 0.80 a) If the risk-free rate is 3.9 % and the expected market risk premium is 6.1%, calculate the expected return for each mutual fund according to the CAPM. b) Using the estimated expected returns from Part a along with your own return forecasts, explain whether Fund T and Fund U are currently priced to fall directly on the security market line (SML), above the SML, or below the SML. Are Funds T and U overvalued, undervalued, or properly valued?arrow_forwardCAPM 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): Fund T Fund U Forecasted Return CAPM Beta 1.20 0.80 9.0% 10.0 a. If the risk-free rate is 3.9 percent and the expected market risk premium (E(RM)-RFR) is 6.1 percent, calculate the required return for each mutual fund according to the CAPM. b. Using the estimated required of returns from part (a) along with your return forecasts, demonstrate whether Fund T and Fund U are currently priced to fall directly on the security market line (SML), above the SML, or below the SML. c. According to your analysis, are Funds T and U overvalued, undervalued, or properly valued?arrow_forwardIf a fund has a return of 12% and a beta of 1.4, and if the risk-free rate is 2%, and market return rate is 8%, calculate Jensen's Alpha O a. 3.6 Ob. 2.4 O c. 1.6 Od. 1.4arrow_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