Assume a risky investment has a return = 15% and a risk = 24%. The risk free rate = 8%. What level of risk aversion would make the investor indifferent between the risky investment and T-Bills?
The coefficient of risk aversion is:
A = ( Risky return - risk free return )/ SD^2
A = ( 15% - 8%)/ (24%*24%) = 1.22
Assume a risky investment has a return = 15% and a risk = 24%. The risk...
Arisky fund has an expected return of 9% and standard deviation of 15%. The T-Bill rate is 3%. An investor allocates 125% of her retirement portfolio to the risky fund and -25% to T-Bills (recall the negative allocation to T-Bills indicates borrowing at risk free rate). What is the investor's risk aversion coefficient (A)? 0.47 2.13 -2.13 1.40
You manage a risky portfolio with an expected return of 12% and a standard deviation of 24%. Assume that 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. What is the expected return and...
Consider a portfolio that offers an expected rate of return of 10% and a standard deviation of 24%. T-bills offer a risk-free 6% rate of return. What is the maximum level of risk aversion for which the risky portfolio is still preferred to T-bills?
3. You have a risky portfolio that yields an expected rate of return of 15% with a standard deviation of 25%. Draw the CAL for an expected return/standard deviation diagram if the risk free rate is 5%. a. What is the slope of the CAL? b. If your coefficient of risk aversion is 5, how much should you invest in the risky portfolio? 4. A pension fund manager is considering three mutual funds. The first is a stock fund, the...
We have discussed in class the idea that one may measure an investor's risk tolerances to different investment scenarios and then develop a mathematical model to describe the satisfaction or utility that an investor derives from his or her investments. This mathematical function is typically called a "utility" function and greater values of utility mean greater investor satisfaction. Consider the following investor utility function U = E(r) - (A/2)o where U is the inventor's utility, E() is a portfolio's expected...
The universe of available securities includes two risky stocks A and B, and a risk-free asset. The data for the universe are as follows: Assets Expected Return Standard Deviation Stock A 6% 25% Stock B 12% 42% Risk free 5% 0 The correlation coefficient between A and B is -0.2. The investor maximizes a utility function U=E(r)−σ2 (i.e. she has a coefficient of risk aversion equal to 2). Assume that to maximize his utility when there is no available risk-free...
Assume that you manage a risky portfolio with an expected rate of return of 15% and a standard deviation of 40%. The T-bill rate is 5%. Your risky portfolio includes the following investments in the given proportions: Stock A 24 % Stock B 33 Stock C 43 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...
3) Assume that you manage a risky portfolio with an expected rate of return of 14% and standard deviation of 19%. The risk-free rate rate on a Treasury-bill is 6%. a. Your client chooses to invest 60% of a portfolio in your fund and 40% in a risk-free T-bill money market fund. What is the expected return and standard deviation of your client's portfolio? b. Suppose another investor decides to invest in your risky portfolio a proportion (w) of his...
Problem 6-5 Consider a portfolio that offers an expected rate of return of 11% and a standard deviation of 21%. T-bills offer a risk-free 6% rate of return What is the maximum level of risk aversion for which the risky portfolio is still preferred to T-bills? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Maximum level of risk aversion must be
Check Assume that you manage a risky portfolio with an expected rate of return of 15% and a standard deviation of 31%. The T-bill rate is 5% Your risky portfolio includes the following investments in the given proportions: 125 points Stock A Stock 8 Stock C Your client decides to invest in your risky portfolio a proportion of his total investment budget with the remainder in a T-bill money market fund so that his overall portfolio will have an expected...