ou invest $3,000 in a complete portfolio. The complete portfolio is composed of a risky asset with an expected rate of return of 15% and a standard deviation of 20% and a Treasury bill with a rate of return of 10%. __________ of your complete portfolio should be invested in the risky portfolio if you want your complete portfolio to have a standard deviation of 8%.

ou invest $3,000 in a complete portfolio. The complete portfolio is composed of a risky asset with an expected rate of return of 15% and a standard deviation of 20% and a Treasury bill with a rate of return of 10%. __________ of your complete portfolio should be invested in the risky portfolio if you want your complete portfolio to have a standard deviation of 8%.

EBK CONTEMPORARY FINANCIAL MANAGEMENT

14th Edition

ISBN:9781337514835

Author:MOYER

Publisher:MOYER

Chapter8: Analysis Of Risk And Return

Section: Chapter Questions

Problem 12P

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Blair Rosen. Inc. (BR) is a brokerage firm that specializes in investment portfolios designed to meet the specific risk tolerances of its clients. A client who contacted BR this past week has a maximum of 50,000 to invest. BRs investment advisor decides to recommend a portfolio consisting of two investment funds: an Internet fund and a Blue Chip fund. The Internet fund has a projected annual return of 12%, and the Blue Chip fund has a projected annual return of 9%. The investment advisor requires that at most 35,000 of the clients funds should be invested in the Internet fund. BR services include a risk rating for each investment alternative. The Internet fund, which is the more risky of the two investment alternatives, has a risk rating of 6 per 1,000 invested. The Blue Chip fund has a risk rating of 4 per 1,000 invested. For example, if 10,000 is invested in each of the two investment funds, BRs risk rating for the portfolio would be 6(10) + 4(10) = 100. Finally. BR developed a questionnaire to measure each clients risk tolerance. Based on the responses, each client is classified as a conservative, moderate, or aggressive investor. Suppose that the questionnaire results classified the current client as a moderate investor. BR recommends that a client who is a moderate investor limit his or her portfolio to a maximum risk rating of 240. a. Formulate a linear programming model to find the best investment strategy for this client. b. Build a spreadsheet model and solve the problem using Solver. What is the recommended investment portfolio for this client? What is the annual return for the portfolio? c. Suppose that a second client with 50,000 to invest has been classified as an aggressive investor. BR recommends that the maximum portfolio risk rating for an aggressive investor is 320. What is the recommended investment portfolio for this aggressive investor? d. Suppose that a third client with 50,000 to invest has been classified as a conservative investor. BR recommends that the maximum portfolio risk rating for a conservative investor is 160. Develop the recommended investment portfolio for the conservative investor.
You invest $10,000 in a complete portfolio. The complete portfolio is composed of a risky asset with an expected rate of return of 15% and a standard deviation of 21% and a treasury bill with a rate of return of 5%. How much money should be invested in the risky asset to form a portfolio with an expected return of 11%? A. $6,000B. $4,000C. $7,000D. $3,000
You are considering investing $1000 in a complete portfolio. The complete portfolio is composed of Treasury bills that pay 2.5% and a risky portfolio, P, constructed with two risky securities, X and Y. The optimal weights of X and Y in P are 35% and 65%, respectively. X has an expected rate of return of 21%, and Y has an expected rate of return of 9%. The dollar values of your position in Y would be _________, if you decide to hold a complete portfolio that has an expected return of 11%. Note
You are considering investing $1000 in a complete portfolio. The complete portfolio is composed of Treasury notes that pay 5% and a risky portfolio, P, constructed with two risky securities X and Y. The optimal weights of X and Y in P are 60% and 40% respectively. X has an expected rate of return of 14% and Y has an expected rate of return of 10%. To form a complete portfolio with an expected rate of return of 11%, you should invest ________ of your complete portfolio in Treasury notes.
You are considering investing $1000 in a complete portfolio. The complete portfolio is composed of Treasury bills that pay 2.5% and a risky portfolio, P, constructed with two risky securities, X and Y. The optimal weights of X and Y in P are 35% and 65%, respectively. X has an expected rate of return of 21%, and Y has an expected rate of return of 9%. The dollar values of your position in X would be _________, if you decide to hold a complete portfolio that has an expected return of 11%.
You are considering investing $1000 in a complete portfolio. The complete portfolio is composed of Treasury bills that pay 2.5% and a risky portfolio, P, constructed with two risky securities, X and Y. The optimal weights of X and Y in P are 35% and 65%, respectively. X has an expected rate of return of 21%, and Y has an expected rate of return of 9%. The dollar values of your position in the Tbill would be _________, if you decide to hold a complete portfolio that has an expected return of 11%.
Suppose 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 _______%.
You invest $100 in a risky asset with an expected return of 12% and a standard deviation of 15%, and a T-bill that pays 5%. [i]. If you desire to form a portfolio with an expected return of 9%, what percentages of your money must you invest in the T-bill? [ii]. If you desire to form a portfolio with a standard deviation of 9%, what percentages of your money must you invest in the T-bill?
Suppose you have $2,000 to invest. The market portfolio has an expected return of 10.5 percent and a standard deviation of 16 percent. The risk-free rate is 3.75 percent. How much should you invest in the risk-free asset if you wish to have a 15 percent return on the portfolio?
You are considering investing $1,000 in a complete portfolio. The complete portfolio is composed of Treasury bills that pay 5% and a risky portfolio, P, constructed with two risky securities, X and Y. The optimal weights of X and Y in P are 60% and 40%, respectively. X has a return volatility of 25%, and Y has a return volatility of 30%. The correlation between X and Y is -0.2. If you decide to hold a complete portfolio that has a return volatility of 15%, how much should you invest in the Treasury bills? $1,000 $687 $130 $220
You invest 70% of your funds in stock X with an expected return of 16% and a standard deviation of returns of 20%, and 30% of your fund in a risk-free asset with an interest rate of 4%; calculate the expected return on the resulting portfolio:
Assume that you have just received information from your investment advisor that your portfolio has reached a value of $1,250,000. Your portfolio consists of three stocks, as follows: Stock Amount Invested % of Total Beta A $250,000 20% 1.12 B $400,000 32% .85 C $600,000 48% .55 Total: $1,250,000 100% Calculate the beta of this investment portfolio. Assume that the expected market return ( r m ) is 9 percent and the expected risk- free rate ( RF ) is 2 percent. What is the expected return ( r j ) for this investment portfolio?