a
Adequate information:
Expected rate of
Standard deviation of the risky asset=28%
Complete portfolio’s standard deviation will not increase beyond 18%.
T-bill rate is 8%
Client decides to invest in your portfolio in the proportion Y
Overall portfolio’s expected rate of return =16%
To compute: The proportion of Y
Introduction:
Risky Portfolio: When there is a chance of non-accomplishment of financial objectives of an investment in a unit or combination of assets, it is termed as risky portfolio. A higher risk always carries higher return.
b
Adequate information:
Expected
Standard deviation of the risky asset=28%
T-bill rate is 8%
Client decides to invest in your portfolio in the proportion Y
Overall portfolio’s expected rate of return =16%
Complete portfolio’s standard deviation will not increase beyond 18%.
To compute: The expected rate of return on the complete portfolio.
Introduction:
Expected return of the portfolio: It is also called as weighted average expected return. So, it is must to consider both the weights and the expected return of both stocks.
Want to see the full answer?
Check out a sample textbook solutionChapter 6 Solutions
EBK INVESTMENTS
- If 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_forwardYou manage a risky portfolio with an expected rate of return of 12% and a standard deviation of 36%. The T-bill rate is 3%. Stock A 27% Stock B 35% Stock C 38% 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 10%. Required: What is the proportion y? What are your client’s investment proportions in your three stocks and the T-bill fund? What is the standard deviation of the rate of return on your client’s portfolio?arrow_forwardThe firm wishes to estimate the beta of a portfolio that consists of two assets X and Y. The investment manager of the firm has gathered the following information on the two assets. Securities Rate of Return Standard Deviation Beta X 20% 20% 1.5 Y 10% 30% 1.0 Risk free asset 5% Calculate: The beta of the portfolio if 75% of the funds are invested in Y and 25% in X The portfolio expected return and the portfolio beta if you invest 35 % in X, 45% in Y and 20 % in the risk-free asset Assuming the CAPM applies, if the market’s expected return is 13 percent, the risk free rate is 8% and stock X’s required rate of return is 16%, what is the stock’s beta coefficient?arrow_forward
- You manage a risky portfolio containing 25% of Stock A, 32% of Stock B and 43% of Stock C, respectively, with expected rate of return of 18% and standard deviation of 28%. The Tbill rate is 8%. Draw the Capital Allocation Line (CAL) of your portfolio on an expected returnstandard deviation diagram. What is the slope of the CAL? Suppose that the 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%. Show the position of your client on your fund’s CAL. What is the proportion y? What are your client’s investment proportions in your three stocks and the T-bill fund?arrow_forward, 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%. 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? Suppose your risky portfolio includes the following investments in the given proportions: Stock A 27% Stock B 33 Stock C 40 What are the investment proportions of each stock in your client’s overall portfolio, including the position in T-bills? What is the Sharpe ratio (S) of your risky portfolio and your client’s overall portfolio? 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.arrow_forwardYou manage a risky portfolio with an expected rate of return of 22% and a standard deviation of 35%. The T-bill rate is 6%. Your risky portfolio includes the following investments in the given proportions: Stock A 33% Stock B 36% Stock C 31% 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 18%. a. What is the proportion y? (Round your answer to the nearest whole number.) b. What are your client’s investment proportions in your three stocks and the T-bill fund? (Do not round intermediate calculations. Round your answers to 2 decimal place.) c. What is the standard deviation of the rate of return on your client’s portfolio? (Do not round intermediate calculations. Round your answer to 2 decimal place.)arrow_forward
- You manage a risky portfolio with an expected rate of return of 21% and a standard deviation of 33%. The T-bill rate is 7%. Your client chooses to invest 75% of a portfolio in your fund and 25% in a T-bill money market fund. What is the reward-to-volatility (Sharpe) ratio (S) of your risky portfolio? Your client’s? (Do not round intermediate calculations. Round your answers to 4 decimal places.)arrow_forwardWhat is the Sharpe ratio (S) of your risky portfolio and your client’s overall portfolio? , 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%.arrow_forwardYou manage a risky portfolio with an expected rate of return of 19% and a standard deviation of 32%. The T-bill rate is 7%. Your client’s degree of risk aversion is A = 3.3, 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
- EBK CONTEMPORARY FINANCIAL MANAGEMENTFinanceISBN:9781337514835Author:MOYERPublisher:CENGAGE LEARNING - CONSIGNMENTIntermediate Financial Management (MindTap Course...FinanceISBN:9781337395083Author:Eugene F. Brigham, Phillip R. DavesPublisher:Cengage Learning