a
Adequate information:
Expected
Standard deviation of risky portfolio =25%
Expected return of active portfolio=18%
Standard deviation of active portfolio=28%
Risk-free rate=8%
To compute: The value when client switches 70% investment to passive portfolio and explain the disadvantages of the switch of investment.
Introduction:
Passive
b
Adequate information:
Expected rate of return of risky portfolio =13%
Standard deviation of risky portfolio =25%
Expected return of active portfolio=18%
Standard deviation of active portfolio=28%
Risk-free rate=8%
To compute: The slope of CAL with maximum chargeable fee .
Introduction:
Passive portfolio:
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- You manage a risky portfolio with an expected rate of return of 22% and a standard deviation of 34%. The T-bill rate is 6%. Your client's degree of risk aversion is A = 1.7. Required: a. What proportion, y, of the total investment should be invested in your fund? b. What are the expected value and standard deviation of the rate of return on your client's optimized portfolio? Complete this question by entering your answers in the tabs below. Required A Required B What proportion, y, of the total investment should be invested in your fund? Note: Round your answer to 2 decimal places. Investment proportion y %arrow_forwardAnswer the question in letter C onlyarrow_forwardYou 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_forward
- PLEASE SHOW USING EXCEL You estimate that a passive portfolio, that is, one invested in a risky portfolio that mimics the S&P 500 stock index, yields an expected rate of return of 13% with a standard deviation of 25%. You manage an active portfolio with expected return 18% and standard deviation 28%. The risk-free rate is 8%. 1- Draw the CML and your funds’ CAL on an expected return–standard deviation diagram. 2- What is the slope of the CML? 3- Characterize in one short paragraph the advantage of your fund over the passive fund. 4- Your client ponders whether to switch the 70% that is invested in your fund to the passive portfolio. Explain to your client the disadvantage of the switch. 5- Show him the maximum fee you could charge (as a percentage of the investment in your fund, deducted at the end of the year) that would leave him at least as well off investing in your fund as in the passive one. (Hint: The fee will lower the slope of his CAL by reducing the expected…arrow_forwardAs an equity analyst, you have developed the following return forecasts and risk estimates for two different stock mutual funds (Fund T and Fund U}: Forecasted Return CAPM Beta Fund T 9.00% 1.20 Fund U 10.00% 0.80 a. If the risk-free rate is 3.9 percent and the expected market risk premium (£(RM) -RFR} is 6.1 percent, calculate the expected return for each mutual fund according to the CAPM. b. Using the estimated expected returns from part (a) along with your own return forecasts, demonstrate whether Fund T and Fund U are currently priced to fall directly on the security market line (SML), above the SML, or below the SML. c. According to your analysis, are Funds T and U overvalued, undervalued, or properly valued?arrow_forwardYou manage a risky portfolio with an expected rate of return of 18% and a standard deviation of 30%. The T-bill rate is 6%. Your client’s degree of risk aversion is A = 3.4, 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.)arrow_forward
- Assume that you manage a risky portfolio with an expected rate of return of 18% and a standard deviation of 42%. The T-bill rate is 6%. Your client chooses to invest 85% of a portfolio in your fund and 15% in a T-bill money market fund. Required: a. What are the expected return and standard deviation of your client's portfolio (Round your answers to 1 decimal place.) Expected return Standard deviation b. Suppose your risky portfolio includes the following investments in the given proportions: 26% 35 39 Stock A Stock B Stock C What are the investment proportions of your client's overall portfolio, including the position in T-bills? (Round your answers to 1 decimal place.) Security T-Bills Stock A Stock B Stock C % per year % per year Investment Proportions % % % %arrow_forwardUse this input to answer following questions: You manage a risky portfolio with an expected rate of return of 12% and a standard deviation of 20%. The T-bill rate is 8%. a) Your client chooses to invest 60% of a portfolio in your fund and remaining money in an essentially risk-free money market fund. What is the expected value and standard deviation of the rate of return on his portfolio? (2 Marks) b) What is the reward-to-volatility (Sharpe) ratio (S) of your risky portfolio? (1 Mark)arrow_forwardK You manage a risky portfolio with an expected rate of return of 10% and a standard deviation of 37%. The T-bill rate is 4%. Your client chooses to invest 80% of a portfolio in your fund and 20% in a T-bill money market fund. What is the reward-to-volatility (Sharpe) ratio (S) of your risky portfolio? Your client's? Note: Do not round intermediate calculations. Round your answers to 4 decimal places. Your reward-to-volatility (Sharpe) ratio Client's reward-to-volatility (Sharpe) ratioarrow_forward
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