a
Adequate information:
Expected rate of
Standard deviation of the risky asset=28%
T-bill rate is 8%
Client’s degree of risk aversion A=3.5
To compute: The proportion of Y of the total investment
Introduction:
Portfolio optimization: When an investor has to select the best portfolio or asset distribution from the given set of portfolios, he/she has to very careful as his purpose or objective of investing should be fulfilled. So, the process involving this activity can be termed as Portfolio optimization. By proper planning and calculations, the risk factor can be decreased and thereby increasing the returns.
b
Adequate information:
Expected
Standard deviation of the risky asset=28%
T-bill rate is 8%
Client’s degree of risk aversion A=3.5
To compute: The expected rate of return and the standard deviation of the enhanced portfolio related to client.
Introduction:
Portfolio optimization: When an investor has to select the best portfolio or asset distribution from the given set of portfolios, he/she has to very careful as his purpose or objective of investing should be fulfilled. So, the process involving this activity can be termed as Portfolio optimization. By proper planning and calculations, the risk factor can be decreased and thereby increasing the returns.
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- Consider 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_forwardConsider 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…arrow_forwardConsider 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?arrow_forward
- 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?arrow_forwardConsider 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?arrow_forwardYou manage a risky portfolio with an expected rate of return of 18% and a standard deviation of 29%. 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 18%. 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_forward
- You 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_forwardIf 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_forwardConsider 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_forward
- You compute the optimal risky portfolio to have the expected return of 12% and standard deviation of 20%. The risk free rate is 4%. What will be the standard deviation of the complete portfolio of risk free asset and the optimal risk portfolio, for a risk averse investor with risk aversion index A=6. O 1.11 О 3.33 O 5.67 O 6.67 O None of abovearrow_forwardConsider 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 = -0.14arrow_forwardConsider 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%arrow_forward
- EBK CONTEMPORARY FINANCIAL MANAGEMENTFinanceISBN:9781337514835Author:MOYERPublisher:CENGAGE LEARNING - CONSIGNMENT