You invest 70% of your funds in stock X with an expected return of 16% and a standard deviation of returns of 20%, and 30% of your fund in a risk-free asset with an interest rate of 4%; calculate the expected return on the resulting portfolio:
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You invest 70% of your funds in stock X with an expected return of 16% and a standard deviation of returns of 20%, and 30% of your fund in a risk-free asset with an interest rate of 4%; calculate the expected return on the resulting portfolio:
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- 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?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?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 % % % %
- 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?Assume that you manage a risky portfolio with an expected rate of return of 14% and a standard deviation of 30%. The T-bill rate is 6%. Your client decides to invest in your risky portfolio a proportion (y) of his total investment budget with the remainder in a T-bill money market fund so that his overall portfolio will have an expected rate of return of 13% a. What is the proportion y? (Enter your answer as a decimal number rounded to 2 decimal places.) Proportion y b. What is the standard deviation of the rate of return on your client's portfolio? (Enter your answer as a percentage rounded to two decimal places.) Standard % per year deviationAssume 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
- You are going to invest $50,000 in a portfolio consisting of assets X, Y, and Z, as follows; What is the expected return of this portfolio? Calculate the beta coefficient of the portfolioYou 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 % %Suppose you have $2,000 to invest. The market portfolio has an expected return of 10.5 percent and a standard deviation of 16 percent. The risk-free rate is 3.75 percent. How much should you invest in the risk-free asset if you wish to have a 15 percent return on the portfolio?
- Assume you wish to hold a portfolio consisting of Loblaw stock and a riskless asset. Given the following information, calculate portfolio expected returns and portfolio betas, letting the proportion of funds invested in Loblaw range from 0 to 125% Loblaw has a beta (\ beta) of 1.2 and an expected return of 18% Risk-free rate is 7%. Loblaw weights: 0%, 25%, 50%, 75%, 100%You manage a risky portfolio with expected rate of return of 18% and standard deviation of 28%. The T-bill rate is 8%. 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 value and standard deviation of the rate of return on his portfolio? b. What is the reward-to-volatility ratio (S) of your risky portfolio? Your client’s? c. Draw the CAL of your portfolio on an expected return–standard deviation diagram. What is the slope of the CAL? Show the position of your client on your fund’s CAL. d. Suppose that your client decides to invest in your portfolio a proportion y of the total investment budget so that the overall portfolio will have an expected rate of return of 16%. What is the proportion y? What is the standard deviation of the rate of return on your client’s portfolio? e. Suppose that your client prefers to invest in your fund a proportion y that maximizes the expected return on the complete portfolio subject…You manage a risky portfolio with an expected return of 12% and a standard deviation of 24%. Assumethat you can invest and borrow at a risk-free rate of 3%, using T-bills. a) Draw the Capital Allocation Line (CAL) for this combination of risky portfolio and risk-free asset.What is the Sharpe ratio of the risky portfolio?b) Your client chooses to invest 50% of their funds into your risky portfolio and 50% risk-free. Whatis the expected return and standard deviation of the rate of return on their portfolio?