3. Susan manages a portfolio with an average return of 11%, standard deviation of 15% and beta of 0.75. The benchmark's average return is 10%, standard deviation of 18% and beta of 0.64. The correlation between the portfolio and the benchmark is 0.3 and the risk free rate is 4%. a. Calculate the Treynor ratio for Susan's portfolio and for the benchmark. Analyze your results. b. Calculate the Information ratio for Susan's portfolio. c. If the correlation between the portfolio and the benchmark equals 0.1 (instead of 0.3), how will the Information ratio change? Calculate and explain.

3. Susan manages a portfolio with an average return of 11%, standard deviation of 15% and beta of 0.75. The benchmark's average return is 10%, standard deviation of 18% and beta of 0.64. The correlation between the portfolio and the benchmark is 0.3 and the risk free rate is 4%. a. Calculate the Treynor ratio for Susan's portfolio and for the benchmark. Analyze your results. b. Calculate the Information ratio for Susan's portfolio. c. If the correlation between the portfolio and the benchmark equals 0.1 (instead of 0.3), how will the Information ratio change? Calculate and explain.

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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An investiment portfolio consists of two securities, X and Y. The weight of X is 30%. Asset X's expected return is 15% and the standard deviation is 28%. Asset Y's expected return is 23% and the standard deviation is 33%. Assume the correlation coefficient between X and Y is 0.37. A. Calcualte the expected return of the portfolio. B. Calculate the standard deviation of the portfolio return. C. Suppose now the investor decides to add some risk free assets into this portfolio. The new weights of X, Y and risk free assets are 0.21, 0.49 and 0.30. What is the standard deviation of the new portfolio?
Assuming you are an investor with GHS100 available. If you invest GHS60 and GHS40 in Allos Inc. and Orangus Inc. respectively, what will be your portfolio returns? 4.Calculate the Standard deviation of the portfolio.
Consider the following information for four portfolios, the market, and the risk-free rate (RFR): Portfolio Return Beta SD A1 0.15 1.25 0.182 A2 0.1 0.9 0.223 A3 0.12 1.1 0.138 A4 0.08 0.8 0.125 Market 0.11 1 0.2 RFR 0.03 0 0 Refer to Exhibit 18.6. Calculate the Jensen alpha Measure for each portfolio. a. A1 = 0.014, A2 = -0.002, A3 = 0.002, A4 = -0.02 b. A1 = 0.002, A2 = -0.02, A3 = 0.002, A4 = -0.014 c. A1 = 0.02, A2 = -0.002, A3 = 0.002, A4 = -0.014 d. A1 = 0.03, A2 = -0.002, A3 = 0.02, A4 = -0.14 e. A1 = 0.02, A2 = -0.002, A3 = 0.02, A4 = -0.14
f. Assume a Portfolio of two assets A and B whose standard deviations of their returns are 8.6% and 10.8% respectively, while their correlation coefficient of returns is Pas = - 0.61. You are given the right to do portfolio optimization without restrictions. What proportions would you choose and why?
You are evaluating various investment opportunities currently available and you have calculated expected returns and standard deviation for five different well-diversified portfolios of risky assets. Portfolio Expected return (%) Standard deviation (%) Q 7.8 10.5 R 10 14 S 4.6 5 11.7 18.5 6.2 7.5 a. For each portfolio, determine the Sharpe ratio. Assume that the risk free rate is 3%. b. Using your analysis in part (a), explain which of these five portfolios is most likely to be the market portfolio. Draw up the Capital Market Line Equation. c. If you are willing to make an investment with a standard deviation of 7%, is it possible for you to earn 7%? d. What is the minimum risk level that would be necessary for an investment to earn 7%. What is the composition of the portfolio along the CML that will generate the 7% return. e. Suppose you are now willing t f. Devise how would you apply portfolio performance evaluation and attribution analysis in practice. Illustrate with suitable…
Consider the following information about a risky portfolio that you manage and a risk-free asset: E(rp) = 9%, Op = 24%, 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?
Consider the multifactor model APT with three factors. Portfolio A has a beta of 0.8 on factor 1, a beta of 1.1 on factor 2, and a beta of 1.25 on factor 3. The risk premiums on the factor 1, factor 2, and factor 3 are 3%, 5%, and 2%, respectively. The risk-free rate of return is 3%. The expected return on portfolio A is __________ if no arbitrage opportunities exist. A. 23.0% B. 16.5% C. 13.4% D. 13.5%
Assume a Portfolio of two assets A and B whose standard deviations of their returns are 8.6% and 10.8% respectively, while their correlation coefficient of returns is Pas= - 0.61. You are given the right to do portfolio optimization without restrictions. What proportions would you choose and why?
Rose Berry is attempting to evaluate two possible portfolios, which consist of the same five assets held in different proportions. She is particularly interested in using beta to compare the risks of the portfolios, so she has gathered the data shown in the following table: Portfolio weights Asset Asset beta Portfolio A Portfolio B 1 1.43 15% 20% 2 0.69 40% 5% 3 1.15 10% 35% 4 1.42 5% 20% 5 0.97 30% 20% Totals 100% 100% a. Calculate the betas for portfolios A and B. b. Compare the risks of these portfolios to the market as well as to each other. Which portfolio is more risky?
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…
You are evaluating various investment opportunities currently available and you have calculated expected returns and standard deviation for five different well-diversified portfolios of risky assets. Portfolio Expected return (%) Standard deviation (%) 7.8 10.5 R 10 14 S 4.6 11.7 18.5 6.2 7,5 a. For each portfolio, determine the Sharpe ratio. Assume that the risk free rate is 3%. b. Using your analysis in part (a), explain which of these five portfolios is most likely to be the market portfolio. Draw up the Capital Market Line Equation. c. If you are willing to make an investment with a standard deviation of 7%, is it possible for you to earn 7%? d. What is the minimum risk level that would be necessary for an investment to earn 7%. What is the composition of the portfolio along the CML that will generate the 7% return. e. Suppose you are now willing to make an investment with a standard deviation of 18.2%. Determine what would be the investment proportions in the risk free asset and…
Consider the following information about a risky portfolio that youmanage, and a risk-free asset: E(rP ) = 11%, σP = 15%, rf = 5%.a) Your client wants to invest a proportion of her total investment budget in your riskyfund to provide an expected rate of return on her overall or complete portfolio equal to8%. What proportion should she invest in the risky portfolio, P, and what proportionin 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 limithis standard deviation to be no more than 12%. Which client is more risk averse?

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