Consider the following information about a risky portfolio that you manage and a risk-free asset: E(rp)13%, op = 17%, rf = 5%.%3Da. Your client wants to invest a proportion of her total investment budget in your risky fund to provide an expected rate of return on heroverall 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 youranswer to 2 decimal places.)Standard deviation%

The portfolio is framed by taking into consideration the overall return and risk that the investor…

Answered: Consider the following information…

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Financial planner Minnie Margin wishes to develop a mutual fund portfolio based on the Markowitz portfolio model. She needs to determine the proportion of the portfolio to invest in each of the five mutual funds listed below so that the variance of the portfolio is minimized subject to the constraint that the expected return of the portfolio be at least 5%. Formulate the appropriate nonlinear program. Minnie assumes that the more recent returns are more likely to occur. She assumes that the probability of occurrence of scenario 1 is 40%, of scenario 2 is 30%, of scenario 3 is 20% and of scenario 4 is 10%. Annual Returns (Planning Scenarios) Mutual Fund Year 1 Year 2 Year 3 Year 4 International Stock 22.37 26.73 4.86 2.17 Large-Cap Value 15.48 19.64 11.50 -5.25 Mid-Cap Value 17.42 20.07 -4.97 -1.69 Small-Cap Growth 23.18 12.36 3.25 3.81 Short-Term Bond 9.26 8.81 6.15 4.04 If Minnie…
You 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?
You are given the following information concerning three portfolios, the market portfolio, and the risk-free asset: 8p 1.70 1.30 0.85 1.00 Portfolio X Y Z Market Risk-free Rp 11.5% 10.5 7.2 10.9 4.6 R-squared op 38.00% 33.00 23.00 28.00 0 Assume that the correlation of returns on Portfolio Y to returns on the market is 0.76. What percentage of Portfolio Y's return is driven by the market? Note: Enter your answer as a decimal not a percentage. Round your answer to 4 decimal places.
2. Statistical measures of stand-alone risk Remember, the expected value of a probability distribution is a statistical measure of the average (mean) value expected to occur during all possible circumstances. To compute an asset’s expected return under a range of possible circumstances (or states of nature), multiply the anticipated return expected to result during each state of nature by its probability of occurrence. Consider the following case: Ethan owns a two-stock portfolio that invests in Falcon Freight Company (FF) and Pheasant Pharmaceuticals (PP). Three-quarters of Ethan’s portfolio value consists of FF’s shares, and the balance consists of PP’s shares. Each stock’s expected return for the next year will depend on forecasted market conditions. The expected returns from the stocks in different market conditions are detailed in the following table: Market Condition Probability of Occurrence Falcon Freight Pheasant Pharmaceuticals Strong 0.25 30% 42%…
9. A risk averse, wealth maximising, investor is faced with a choice between four investments (P, Q, R and S) that have profiles as follows:   Mean return (%) Variance (%) P 19 18   Q 16 17  R 22 16   S 20 16   Between which pair of these investments would the investor find it impossible to distinguish on the basis of the above information? A. P and Q   B. R and S   C. P and S   D. Q and R
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.)
Portfolio A has an expected return of 15% and a Sharpe ratio of 0.42. Portfolio B has an expected return of 20% and a Sharpe ratio of 0.37. Portfolio C has an expected return of 25% and a Sharpe ratio of 0.31. Among A, B, and C, rational risk-averse investors prefer to include which one into her complete portfolio? O There is not enough information to choose among A, B, C. O Portfolio B O Portfolio C O Portfolio A
You are given the following information concerning three portfolios, the market portfolio, and the risk-free asset: Portfolio Rp X 15.0% Y 14.0 Z 9.0 Market 10.3 Risk-free 4.2 op 32% 27 17 22 0 Portfolio X Y Z Market 6p 1.40 1.10 0.75 1.00 What are the Sharpe ratio, Treynor ratio, and Jensen's alpha for each portfolio? (A negative value should be indicated by a minus sign. Leave no cells blank - be certain to enter "0" wherever required. Do not round intermediate calculations. Leave your ratio answers as a decimal rounded to 5 places (e.g., 0.23546). Enter your alpha answers as a percent rounded to 2 decimal places (e.g., 0.22%).) Sharpe Ratio Treynor Ratio Jensen's Alpha % % % %
Sharon Smith, the financial manager for Barnett Corporation, wishes to select one of three prospective investments: X, Y, and Z. Assume that the measure of risk Sharon cares about is an asset's standard deviation. The expected returns and standard deviations of the investments are as follows: Investment Expected return Standard deviation X 17% 7% Y 17% 8% Z 17% 9% a. If Sharon were risk neutral, which investment would she select? Explain why. b. If she were risk averse, which investment would she select? Why? c. If she were risk seeking, which investments would she select? Why? d. Suppose a fourth investment, W, is available. It offers an expected return of 18%,and it has a standard deviation of 9%. If Sharon is risk averse, can you say which investment she will choose? Why or why not? Are there any investments that you are certain she will not choose?
Assume that you manage a risky portfolio with an expected rate of return of 20% and a standard deviation of 46%. The T-bill rate is 5%. A client prefers to invest in your portfolio a proportion (y) that maximizes the expected return on the overall portfolio subject to the constraint that the overall portfolio's standard deviation will not exceed 35% a. What is the investment proportion, y? (Do not round intermediate calculations. Enter your answer as a percentage rounded to two decimal places.) Investment proportion y b. What is the expected ra intermediate calculations. Enter your answer as a percentage rounded to two decimal places.) of return on your client's overall portfolio? (Do not roun Rate of return
Construct a plausible graph that shows risk (asmeasured by portfolio standard deviation) on thex-axis and expected rate of return on the y-axis.Now add an illustrative feasible (or attainable) setof portfolios and show what portion of the feasibleset is efficient. What makes a particular portfolioefficient? Don’t worry about specific values whenconstructing the graph—merely illustrate howthings look with “reasonable” data
You are given the following Information concerning three portfolios, the market portfollo, and the risk-free asset: Portfolio X Y Z Market Risk-free Rp 14.10% 13.10 8.50 12.00 7.20 Information ratio op 39.00% 34.00 1.15 0.90 1.00 0 Assume that the tracking error of Portfolio X is 8.90 percent. What is the information ratio for Portfolio X? Note: A negative value should be indicated by a minus sign. Do not round Intermediate calculations. Round your answer to 4 decimal places. 6p 1.50 24.00 29.00 0

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