(c) Draw an indifference curve and indicate the optimal combination of risk free and risky assets...
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...
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...
Suppose that you have found the optimal risky combination using all risky assets available in the economy, and that this optimal risky portfolio has an expected return of 0.1 and standard deviation of 0.2. The T-bill rate is 0.05. If your risk-return preferences are best described by the utility function in this class, with a risk-aversion coefficient of 5.2. What is the expected return on your optimal complete portfolio? Round your answer to 4 decimal places. For example if your...
An investor's risk aversion determines her a. optimal mix of assets in her risky portfolio b. risk-free rate on borrowing c. Sharpe ratio d. capital allocation line e. optimal risky portfolio f. risk-free rate on lending
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...
A. Capital Allocation Lines The optimal CAL is found as the ray from the risk free rate that is tangent to the _____________ and is called the ________________. efficient frontier; CML minimum variance portfolio; high range CAL indifference curve; SML lower half of the investment opportunity set; CAPM B. Capital Allocation Portfolio 1 has a standard deviation of 35% and a Sharpe ratio of 0.48. Portfolio 2 has a standard deviation of 29% and a Sharpe ratio of 0.44. Portfolio...
) What does the indifference curve represent? ii) What is CAL(P)? iii) What is the efficient frontier of risky assets? iv) Explain what the point C represents. v) How can an investor access pointK? (c) Outline and discuss three limitations of the CAPM. (b) Consider the following graph: CAL(P) E(R) Indifference curve Efficient frontier of risky assets Optimal risky portfolio Expected return (%) Standard deviation (%)
Under MPT (Modern Portfolio Theory), what do the risk-free rate and the optimal risky portfolio create and why is it important relative to all other possible portfolios (with the exception of the optimal risky portfolio)?
Under MPT (Modern Portfolio Theory), what do the risk-free rate and the optimal risky portfolio create and why is it important relative to all other possible portfolios (with the exception of the optimal risky portfolio)?