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
thumb_up100%
Chapter 5, Problem 13PS
For Problems 12-16, assume that you manage a risky portfolio with an expected
13. Suppose the same client in the previous problem decides to invest in your risky portfolio
a proportion (y) of his total investment budget so that his overall portfolio will have an expected rate of return of 15%. (LO 53)
a. What is the proportion y?
b. What are your client’s investment proportions in your three stocks and in T-bills?
e. What is the standard deviation of the rate of return on your client’s portfolio?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
9.
Suppose you plan to form your overall investment portfolio in two steps:
STEP 1: Choose a portfolio of stocks with a zero position in the risk-free asset.
STEP 2: Allocate your money between the portfolio from Step 1 and the risk-free asset.
Suppose you can borrow and lend as much as you want at the risk-free rate in Step 2.
Let Erp be the expected return of the Step 1 portfolio.
Let Var(rp) be the variance of the return of the Step 1 portfolio. Let rf be the risk-free rate.
How will you form the Step 1 Portfolio?
Set the Step 1 portfolio to maximize Erp
SettheStep1portfoliotominimizeVar(rp)
Set the Step 1 portfolio to maximize Erp - Var(rp)
Set the Step 1 portfolio to maximize the ratio Erp/Var(rp)
Set the Step 1 portfolio to maximize the ratio (Erp- rf)/Var(rp)
None of the above.
Consider the following information about a risky portfolio that you manage and a risk-free asset: E(rp) = 8%, op = 15%, rf = 2%.
Required:
a. Your client wants to invest a proportion of her total investment budget in your risky fund to provide an expected rate of return on
her overall or complete portfolio equal to 8%. What proportion should she invest in the risky portfolio, P, and what proportion in the
risk-free asset?
b. What will be the standard deviation of the rate of return on her portfolio?
c. Another client wants the highest return possible subject to the constraint that you limit his standard deviation to be no more than
12%. Which client is more risk averse?
Complete this question by entering your answers in the tabs below.
Required A Required B
Required C
Risky portfolio
Risk-free asset
Answer is complete but not entirely correct.
Your client wants to invest a proportion of her total investment budget in your risky fund to provide an expected rate of return
on her overall…
Consider the following information about a risky portfolio that you manage and a risk-free asset: E(rp) = 16%, Op = 26%, rf = 4%.
a. Your client wants to invest a proportion of her total investment budget in your risky fund to provide an expected rate of return on her
overall or complete portfolio equal to 6%. What proportion should she invest in the risky portfolio, P, and what proportion in the risk-
free asset? (Do not round intermediate calculations. Round your answer to 2 decimal places.)
Risky portfolio
Risk-free asset
b. What will be the standard deviation of the rate of return on her portfolio? (Do not round intermediate calculations. Round your
answer to 2 decimal places.)
Standard deviation
%
%
O First client
O Second client
%
c. Another client wants the highest return possible subject to the constraint that you limit his standard deviation to be no more than
12%. Which client is more risk averse?
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
- The 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_forwardProblem 3: You have access to two investment opportunities. Mutual Fund A, which promises 20% expected return with a variance of 0.36, and Mutual Fund B, which promises 15% expected return with a variance 0f 0.12. The covariance between the two is 0.084. 1. Suppose that you seek to construct a portfolio with an expected return equal to 18%. What proportions of your wealth should you invest in A and B? What is the standard deviation of such portfolio? 2. In addition to the funds A and B in the previous question, now you decide to include fund C to your portfolio. Its expected return is 10, its variance 0.0625, its correlation with A is 0.1050 and its correlation with B is 0.07. You want to achieve an expected return of 16% on your portfolio, with the minimum possible risk (measured by the standard deviation). Derive analytically (that is, without the help of solver, but trough calculus) the weights of such desired portfolio, and its standard deviation.arrow_forwardConsider the following information about a risky portfolio that you manage and a risk-free asset: E(rp) = 11%, op = 12%, rf =,2%. Required: a. Your client wants to invest a proportion of her total investment budget in your risky fund to provide an expected rate of return on her overall or complete portfolio equal to 7%. What proportion should she invest in the risky portfolio, P, and what proportion in the risk-free asset? b. What will be the standard deviation of the rate of return on her portfolio? c. Another client wants the highest return possible subject to the constraint that you limit his standard deviation to be no more than 17%. Which client is more risk averse? Complete this question by entering your answers in the tabs below. Required A Required B Required C Your client wants to invest a proportion of her total investment budget in your risky fund to provide an expected rate of return on her overall or complete portfolio equal to 7%. What proportion should she invest in the…arrow_forward
- You 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_forwardYou manage a risky portfolio with an expected rate of return of 10% and a standard deviation of 34%. The T-bill rate is 4%. 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 10%. Required: a. What is the investment proportion, y? b. What is the expected rate of return on the complete portfolio?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
- Consider the following information about a risky portfolio that you manage and a risk-free asset: E(rp) 13%, op = 17%, rf = 5%. %3D a. Your client wants to invest a proportion of her total investment budget in your risky fund to provide an expected rate of return on her overall or complete portfolio equal to 7%. What proportion should she invest in the risky portfolio, P, and what proportion in the risk- free asset? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Risky portfolio % Risk-free asset % b. What will be the standard deviation of the rate of return on her portfolio? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Standard deviation %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_forward(corrected problem) NEW Problem 3: You have access to two investment opportunities. Mutual Fund A, which promises 20% expected return with a variance of 0.36, and Mutual Fund B, which promises 15% expected return with a variance 0f 0.12. The CORRELATION COEFFICIENT between the two is 0.084. Suppose that you seek to construct a portfolio with an expected return equal to 18%. What proportions of your wealth should you invest in A and B? What is the standard deviation of such portfolio?arrow_forward
- 2. Please help and explainarrow_forwardYou 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.) % %arrow_forward4. Suppose portfolio P's expected return in 12%, its volatility (standard deviation) is 20%, and the risk-free rate is 5%. Suppose further that a particular mix of asset i and P yields a portfolio P’with an expected return of 18% and a volatility of 30%. a. Compute for the Sharpe ratio of P. b. Compute for the Sharpe ratio of P'. Is adding asset i beneficial? Explain.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Intermediate Financial Management (MindTap Course...FinanceISBN:9781337395083Author:Eugene F. Brigham, Phillip R. DavesPublisher:Cengage Learning
EBK CONTEMPORARY FINANCIAL MANAGEMENTFinanceISBN:9781337514835Author:MOYERPublisher:CENGAGE LEARNING - CONSIGNMENT
Intermediate Financial Management (MindTap Course...
Finance
ISBN:9781337395083
Author:Eugene F. Brigham, Phillip R. Daves
Publisher:Cengage Learning
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