INVESTMENTS (LOOSELEAF) W/CONNECT
11th Edition
ISBN: 9781260465945
Author: Bodie
Publisher: MCG
expand_more
expand_more
format_list_bulleted
Question
Chapter 6, Problem 13PS
Summary Introduction
To calculate:The expected value and standard deviation of the
Introduction:
Investment Portfolio: An investor has an option of investing in two types of assets, namely risky assets and risk -free assets. When an investor desiresto reduce risks or does not aim to take any sort of risk, he/she chooses to invest in risk-free assets. But, when the investor wants more returns and is prepared to take the risk, he/she invests in risky assets.Hence, collection of the types of assets held by investor or institution can be defined as investment portfolio. There are some investors who invest combined in risky and risk-free assets to reduce the risk.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
You 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 chooses to invest 70% of a portfolio in your fund and 30% in an essentially risk-free money market fund. What is the expected value and standard deviation of the rate of return on his portfolio?
You manage a risky portfolio with an expected rate of return of 11% and a standard deviation of 33%. The T-bill rate is 3%. Your client chooses to invest 80% of a portfolio in your fund and 20% in an essentially risk-free money market fund. What are the expected return and standard deviation of the rate of return on his portfolio?
You manage a risky portfolio with expected rate of return of 18% and standard deviation of 28%. The T-bill rate is 8%. a. Your client chooses to invest 70% of a portfolio in your fund and 30% in a T-bill money market fund. What is the expected value and standard deviation of the rate of return on his portfolio? b. What is the reward-to-volatility ratio (S) of your risky portfolio? Your client’s? c. Draw the CAL of your portfolio on an expected return–standard deviation diagram. What is the slope of the CAL? Show the position of your client on your fund’s CAL. d. Suppose that your client decides to invest in your portfolio a proportion y of the total investment budget so that the overall portfolio will have an expected rate of return of 16%. What is the proportion y? What is the standard deviation of the rate of return on your client’s portfolio? e. Suppose that your client prefers to invest in your fund a proportion y that maximizes the expected return on the complete portfolio subject…
Chapter 6 Solutions
INVESTMENTS (LOOSELEAF) 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
- Your client is shocked at how much risk Blandy stock has and would like to reduce the level of risk. You suggest that the client sell 25% of the Blandy stock and create a portfolio with 75% Blandy stock and 25% in the high-risk Gourmange stock. How do you suppose the client will react to replacing some of the Blandy stock with high-risk stock? Show the client what the proposed portfolio return would have been in each year of the sample. Then calculate the average return and standard deviation using the portfolios annual returns. How does the risk of this two-stock portfolio compare with the risk of the individual stocks if they were held in isolation?arrow_forwardYou manage a risky portfolio with an expected rate of return of 12% and a standard deviation of 36%. The T-bill rate is 3%. Stock A 27% Stock B 35% Stock C 38% Suppose that your client decides to invest in your portfolio a proportion y of the total investment budget so that the overall portfolio will have an expected rate of return of 10%. Required: What is the proportion y? What are your client’s investment proportions in your three stocks and the T-bill fund? What is the standard deviation of the rate of return on your client’s portfolio?arrow_forwardYou manage a risky portfolio with an expected rate of return of 17% and a standard deviation of 37%. The T-bill rate is 5%. Your client chooses to invest 80% of a portfolio in your fund and 20% in a T-bill money market fund. Suppose that your risky portfolio includes the following investments in the given proportions: Srock A 29% Stock B 35% Stock C 36% What are the investment proportions of your client’s overall portfolio, including the position in T-bills? (Round your answers to 1 decimal place.) Investment Propositions T-bills Stock A Stock B Stock Carrow_forward
- If your portfolio includes 35 percent of X, 40 percent of Y and 25 percent of Z, answer the following questions: (a) Calculate the portfolio expected return. (b) Calculate the variance and the standard deviation of the portfolio. (c) If the expected T-bill rate is 3.80 percent, calculate the expected risk premium on the portfolio. (d) If the market index fund has the same expected return as your portfolio, without considering any transaction cost, would you consider selling your portfolio and investing the market index fund instead? Explain your thoughts.arrow_forward, assume that you manage a risky portfolio with an expected rate of return of 17% and a standard deviation of 27%. The T-bill rate is 7%. Your client chooses to invest 70% of a portfolio in your fund and 30% in a T-bill money market fund. What is the expected return and standard deviation of your client’s portfolio? Suppose your risky portfolio includes the following investments in the given proportions: Stock A 27% Stock B 33 Stock C 40 What are the investment proportions of each stock in your client’s overall portfolio, including the position in T-bills? What is the Sharpe ratio (S) of your risky portfolio and your client’s overall portfolio? Draw the CAL of your portfolio on an expected return/standard deviation diagram. What is the slope of the CAL? Show the position of your client on your fund’s CAL.arrow_forwardYou manage a risky portfolio with an expected rate of return of 21% and a standard deviation of 33%. The T-bill rate is 7%. Your client chooses to invest 75% of a portfolio in your fund and 25% in a T-bill money market fund. What is the reward-to-volatility (Sharpe) ratio (S) of your risky portfolio? Your client’s? (Do not round intermediate calculations. Round your answers to 4 decimal places.)arrow_forward
- You manage a risky portfolio with an expected rate of return of 19% and a standard deviation of 31%. The T-bill rate is 5%. Your client chooses to invest 60% of a portfolio in your fund and 40% in an essentially risk-free money market fund. What is the expected return and standard deviation of the rate of return on his portfolio? (Do not round intermediate calculations. Round "Standard deviation" to 1 decimal place.)arrow_forwardYou manage a risky portfolio with an expected rate of return of 22% and a standard deviation of 35%. The T-bill rate is 6%. Your risky portfolio includes the following investments in the given proportions: Stock A 33% Stock B 36% Stock C 31% Suppose that your client decides to invest in your portfolio a proportion y of the total investment budget so that the overall portfolio will have an expected rate of return of 18%. a. What is the proportion y? (Round your answer to the nearest whole number.) b. What are your client’s investment proportions in your three stocks and the T-bill fund? (Do not round intermediate calculations. Round your answers to 2 decimal place.) c. What is the standard deviation of the rate of return on your client’s portfolio? (Do not round intermediate calculations. Round your answer to 2 decimal place.)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_forward
- You manage a risky portfolio containing 25% of Stock A, 32% of Stock B and 43% of Stock C, respectively, with expected rate of return of 18% and standard deviation of 28%. The Tbill rate is 8%. Draw the Capital Allocation Line (CAL) of your portfolio on an expected returnstandard deviation diagram. What is the slope of the CAL? Suppose that the client decides to invest in your portfolio a proportion y of the total investment budget so that the overall portfolio will have an expected rate of return of 16%. Show the position of your client on your fund’s CAL. What is the proportion y? What are your client’s investment proportions in your three stocks and the T-bill fund?arrow_forwardSuppose you have $20,000 available to invest and the risk-free rate, as well as your borrowing rate, is 3%, and the expected return on the risky portfolio is 12%. The standard deviation of the risky portfolio is 18%. If you construct a complete portfolio with an expected return of 9%, the standard deviation of your portfolio is _______%.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
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- EBK CONTEMPORARY FINANCIAL MANAGEMENTFinanceISBN:9781337514835Author:MOYERPublisher:CENGAGE LEARNING - CONSIGNMENTIntermediate Financial Management (MindTap Course...FinanceISBN:9781337395083Author:Eugene F. Brigham, Phillip R. DavesPublisher:Cengage Learning
EBK CONTEMPORARY FINANCIAL MANAGEMENT
Finance
ISBN:9781337514835
Author:MOYER
Publisher:CENGAGE LEARNING - CONSIGNMENT
Intermediate Financial Management (MindTap Course...
Finance
ISBN:9781337395083
Author:Eugene F. Brigham, Phillip R. Daves
Publisher:Cengage Learning
Chapter 8 Risk and Return; Author: Michael Nugent;https://www.youtube.com/watch?v=7n0ciQ54VAI;License: Standard Youtube License