MULTIPLE CHOICE Q In the absence of a risk free asset, which of the following ranking rule is needed to locate the optimal portfolio of risky assets?
A. The portfolio with the largest utility is preferred.
B. The portfolio with the largest reward to variability ratio is preferred.
C. For a given level of expected return, the portfolio with the lowest level of risk is preferred.
D. For a given level of risk, the portfolio with the largest expected return is preferred..
E. None of the above
Option B.The portfolio with the largest reward to variability ratio is preferred.
Reason : Using the ranking method either using Sharpe ratio or Treynor ratio the portfolio is ranked on the basis of excess return(reward) to the beta (variability) of the portfolio is considered.
MULTIPLE CHOICE Q In the absence of a risk free asset, which of the following ranking...
2. Consider an economy with 2 risky assets and one risk free asset. Two investors, A and B, have mean-variance utility functions (with different risk aversion coef- ficients). Let P denote investor A's optimal portfolio of risky and risk-free assets and let Q denote investor B's optimal portfolio of risky and risk-free assets. P and Q have expected returns and standard deviations given by P Q E[R] St. Dev. 0.2 0.45 0.1 0.25 (a) What is the risk-free interest rate...
Expected return is the return on a _______ asset expected in the future. Multiple Choice A. risky B. average C. portfolio D. no-risk E. risk-free
Intro Assume that there are only two stocks in the economy, stock A and stock B. The risk-free asset has a return of 3%. The optimal risky portfolio, i.e., the portfolio with the highest Sharpe ratio, is given below: A BC Stock A Stock B Risk-free asset 2 Expected return 0.062 0.075 0.03 3 Variance 0.1521 0.0484 4 Standard deviation 0.39 0.22 5 Covariance 0.02574 D Optimal risky portfolio 8 Weights 9 Expected return 10 Variance 11 Standard deviation 12...
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...
Exercise 2. Suppose that there is one risk free asset with return rf and one risky asset with normally distributed returns, r ~ N(u,02). Show that the CARA utility u(r) = -e-Ar gives the same optimal allocation of wealth to the risky asset as the mean-variance utility function we used in class. That is, show that E[r] – rf OCARA = AO2 Hint: Use the fact that if a random variable x is distributed normally with mean Mx and variance...
The slope of the security market line is the: Multiple Choice risk-free interest rate. market risk premium. beta coefficient. reward-to-risk ratio. portfolio weight.
Suppose there are two assets, one is risk-free and one is risky. The risk-free asset has a sure rate of return rj, the risky asset has a random rate of return r. Suppose the utility function of an investor is U(x) =--. The initial wealth is wo, the dollar amount invested in the risky asset is θ. r is normally distributed with mean μ and variance σ2. Based on the maximum utility framework, find the optimal investment strategy 6. (25...
Suppose there are two assets, one is risk-free and one is risky. The risk-free asset has a sure rate of return rj, the risky asset has a random rate of return r. Suppose the utility function of an investor is U(x) =--. The initial wealth is wo, the dollar amount invested in the risky asset is θ. r is normally distributed with mean μ and variance σ2. Based on the maximum utility framework, find the optimal investment strategy 6. (25...
There is one risk-free asset that pays a return of rF=0.005. There are 3 risky assets: A, B and C. The expected returns of the risky assets are: μA=0.01, μB=0.02, μC=0.03. The variances are: σ2A=0.00001, σ2B=0.0004, σ2C=0.0036. The covariances are: σAB=0.0002, σAC=0, σBC=-0.0002. Combining A,B and C, we create four risky portofolios, called 1,2,3 and 4. The shares of assets A, B and C in portfolio 1 are: w1A=0.6, w1B=0.2 and w1C=0.2. Similarly, the share in portfolio 2 are: w2A=0.2,...
answer all.
For the next question, assume an investor with the following utility function U-E)-3/2) 12. To maximize her expected uility, she would choose the set with an espect rate of return of and a standard deviation ofrspectively A. 1296; 20% B. 10%; 15% C. 1056; 1056 D, 8%, 10% Е.none ofthe above 13. Which of the following statements regarding the Capital Allocation Line (CAL) false? A. The CAL shows risk-return combinations. B. The slope of the CAL equals the...