An investor invests 30% of his funds in risk free asset and the remaining 70% of funds in an index fund that represents the market. The risk-free return is 8%. The index fund is expected to give a return of 21%. Using the CAPM Model. a. What is the expected return from the portfolio of the investor? The standard deviation of returns from the index funds is 9.80. What is the Standard Deviation of the portfolio return? b. If the investor withdraws his investment in the risk free security and invests the same also in the index fund, what is the expected return? What is the portfolio risk?
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- Suppose that the return for a particular large-cap stock fund is normally distributed with a mean of 14.4% and standard deviation of 4.4%. a. What is the probability that the large-cap stock fund has a return of at least 20%? b. What is the probability that the large-cap stock fund has a return of 10% or less?You manage a risky portfolio with an expected rate of return of 19% and a standard deviation of 34%. The T-bill rate is 8%. 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 19%. 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 % %Assume that you manage a risky portfolio with an expected rate of return of 14% and a standard deviation of 46%. The T-bill rate is 4%. 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 retum Standard deviation b. Suppose your risky portfolio includes the following investments in the given proportions: 30% 30 40 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 Investment Proportions % per year % per year % % % % Risky portfolio Client's overall portfolio c. What is the reward-to-volatility ratio (S) of your risky portfolio and your client's overall portfolio? (Round your answers to 4 decimal places.) Reward-to-Volatility Ratio
- 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 % % % %You manage a risky portfolio with an expected rate of return of 19% and a standard deviation of 31%. 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 19%. a. What is the investment proportion, y? (Round your answer to 2 decimal places.) b. What is the expected rate of return on the complete portfolio? (Do not round intermediate calculations. Round your answer to 2 decimal places.)A portfolio consists of assets with the following expected returns (refer to image): a. What is the expected return on the portfolio if the investor spends an equal amount on each asset? b. What is the expected return on the portfolio if the investor puts 50 percent of available funds in technology stocks, 10 percent in pharmaceutical stocks, 24 percent in utility stocks, and 16 percent in the savings account?
- You manage a risky portfolio with an expected rate of return of 18% and a standard deviation of 28%. The T-bill rate is 8%. Your client’s degree of risk aversion is A = 3.5.a. What proportion, y, of the total investment should be invested in your fund?b. What is the expected value and standard deviation of the rate of return on your client’s optimized portfolio?Suppose the total risk of Portfolios A, B and C are 49% ², 64%² and 100% ² respectively. The market price of risk is 8%. The Market Portfolio (M) has an expected return and a total risk of 11% and 100% respectively. (a) You want to form another Portfolio H by investing $7,000 in Portfolio A and $3,000 in Portfolio B. Compute the standard deviation of Portfolio H if the correlation coefficient between Portfolio A and Portfolio B is: i) perfectly positively correlated ii) uncorrelated iii) perfectly negatively correlated (b) If the expected return of Portfolio C is 9.4% and it is lying on the Securities Market Line, what is the beta of Portfolio C? State the answer in %². (c) Is Portfolio C a Market Portfolio as it has same level of total risk (i.e. 100% 2) as the Market Portfolio? Why or Why not?An investor aims to build a portfolio with annual return equal to 8.88%. In the market only two stocks (A and B) are available, with annual historical returns equal to 9.6% and 7.8% respectively. Assume future returns have the same distribution of past returns. What is the percentage of funds that the investor must allocate to the stock A and B?
- Assume that you manage a risky portfolio with an expected rate of return of 17% and a standard deviation of 27%. The T-bill rate is 7%. a. Your client chooses to invest 70% of a portfolio in your fund and 30% in a T-bill money market fund. What is the expected return and standard deviation of your client's portfolio?You manage a risky portfolio with an expected rate of return of 10% and a standard deviation of 33%. The T-bill rate is 2%. Your client chooses to invest 75% of a portfolio in your fund and 25% in an essentially risk-free money market fund. What are the expected return and standard deviation of the rate of return on his portfolio? Note: Round your answers to 2 decimal places. Expected return Standard deviation % %As 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 f the risk-free rate (RFR) is 3.9% and the expected market risk premium (i.e., E(Ra) – RFR) is 6.1%, calculate the expected return for each mutual fund according to the 3.а. САРМ.