Consider a risky portfolio, A, with an expected rate of return of 0.16 and a standard deviation of 0.25, that lies on a given indifference curve. Which one of the following portfolios is not likely to lie on the same indifference curve for a risk-averse investor with a mean- variance utility function? a. Expected return = 0.20; Standard deviation = 0.15 b. Expected return = 0.10; Standard deviation = 0.20 OC. Expected return= 0.15; Standard deviation = 0.20 O d. Expected return = 0.12; Standard deviation = 0.10 O e. Expected return = 0.10; Standard deviation = 0.10

Assume a utility function of ? = ?[?] − 1 ?? 2. Which statement(s) is/are correct about investors with this utility function? [I] An investor with a higher degree of risk aversion chooses the optimal portfolio with a higher risk premium [II] An investor with a higher degree of risk aversion chooses the optimal portfolio with lower risk [III] An investor with a higher degree of risk aversion chooses the optimal portfolio with a higher sharpe ratio [IV] The extent to which the investor dislikes risk is captured by ? 2 A. [II] only B. [I], [II] only C. [III] , [IV] only D. [II], [IV] only E. [I], [II], [III] only

Assume the CAPM holds and consider stock X, which has a return variance of 0.09 and a correlation of 0.75 with the market portfolio. The market portfolio's Sharpe ratio is 0.30 and the the risk-free rate is 5%. (a) What is Stock X's expected return? (b) What proportion of Stock X's return volatility (i.e. standard deviation) is priced by the market? Explain why this number is less than 1.

Suppose the utility function is U = E(r) - 0.5Ao2. Draw the indifference curve corresponding to a utility level of 0.2 for an investor with a risk aversion coefficient of 3. Please note the vertical line indicates expected return, and plot standard deviation on the horizontal line.