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WHAT IS THE EXPECTED VALUE AND STANDARD DEVIATION OF THE RATE OF RETURN ON HIS PORTFOLIO?

WHAT IS THE EXPECTED VALUE AND STANDARD DEVIATION OF THE RATE OF RETURN ON HIS PORTFOLIO?

Consider historical data showing that the average annual rate of return on the S&P 500 portfolio over the past 80 years has averaged roughly 8% more than the Treasury bill return and that the S&P 500 standard deviation has been about 20% per year. Assume these values are representative of investors’ expectations for future performance and that the current T-bill rate is 5%.

Calculate the expected return and variance of portfolios invested in T-bills and the S&P 500 index with weights as follows:
Calculate the utility levels of each portfolio of Question 1 for an investor with A = 2. What do you conclude?
Repeat Question 2 for an investor with A = 3. What do you conclude?
Use these inputs for Questions 4 through 5: You manage a risky portfolio with expected rate of return of 18% and standard deviation of 28%. The T-bill rate is 8%.

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?

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