An efficient mini-market consists of only three risky assets A, B and C with the composition:...
There are only two risky assets A and B with expected returns r A = 30 % and r The covariance matrix of their returns is = 20 % [0.0576 0.0288] 0.0288 0.0256 (a) Solve for the minimum-variance portfolio of the two risky assets, as well as the expected rate of return and standard deviation of the portfolio. (9 marks) (b) Solve for an efficient portfolio with expected return 29.25 %. (8 marks) (c) Explain how the returns of the...
There are three assets, A, B and C, where A is the market portfolio and C is the risk-free asset. The return on the market has a mean of 12% and a standard deviation of 20%. The risk-free asset yields a return of 4%. Asset B is a risky asset whose return has a standard deviation of 40% and a market beta of 1. Assume that the CAPM holds. Compute the expected return of asset B and its covariances with...
There are only two risky assets (stocks) A and B in the market. Asset A: Mean = 20% Standard Deviation = 10% Asset B: Mean = 10% Standard Deviation = 5% Returns on Assets have zero correlation. A.Assume that there is no risk-free asset. (i)Plot (sketch) the efficiency frontier (the investment opportunity set). (ii)What is the expected return and the standard deviation of the minimum-variance-portfolio? (iii)An investor would like to construct a portfolio that has a standard deviation of 8%....
please help and show your work! Consider a market model with three assets: two risky assets (#1 and #2) and one risk-free asset (#3). The risk-free rate of interest is r = 3%. The parameters of the risky returns are as follows: 02 = 15%, Mi = 6%, H2 = 9%, 01 = 10%, P12 = -10%. 1. Let u(x) and g(x) with xe (-0,00) denote, respectively, the expected return and volatility of my portfolio if I allocate 100x% of...
2. Suppose there are three assets with returns r1, r2, and r3 with the covariance matrix given by: 0.01 r" E(R)0.03 r3 0.09 and Var() Cov(ri, r2) Cov(ri,T3) V(R) Cov(ri,r2) Var(r2) Cov(r2,3) 0.01 0.02-0.02 0.06 0.03 (4) Cov(ri, r3) Cov(r2, Var(ra) -0.02 0.03 0.08 (a) Discuss in detail the different properties of the three assets. (b) Calculate the return and variance of a portfolio in which an investor puts 50% in asset 1 and 50% in asset 2, Hint: In...
2. Consider a financial market composed of only two risky assets (which are imperfectly correlated). Risky asset 1 has beta equal to B.-1.7 and expected return equal to E(n)-10%. Risky asset 2 has beta equal to B2-0.7 and expected return equal to E(T2)-7%. Find expected return on the market portfolio
3 Question 3 In a market are listed two risky assets whose returns are described by the following parameters HA=0.01. MB = 0.07, 01 = 0.2 and op = 0.12. The correlation among the securities is constant and equal to p=0.1. 1. Derive the equation for the frontier 2. Derive the minimum variance portfolio and the equation for the efficient frontier 3. Let's add a risk free asset among the possible investments with return r = 0.03 and derive the...
Question 1 Consider two risky assets A and B with E(rA)= 15%, Sigma_A= 32%, E(rB)= 0.09, Sigma_B= 23%, corrA,B= 0.2. The risk free rate is 5%. The optimal risky portfolio of comprised of the two risky assets is to allocate 64% to A and the rest to B. What is the standard deviation of the optimal risky portfolio ? Select one: a. 20.75% b. 23.61% c. 22.86% d. 23.00% Question 2 Continued with previous question. What is the Sharpe ratio...
Question 1: Suppose there are two risky assets, A and B. You collect the following data on probabilities of different states happening and the returns of the two risky assets in different states: State Probability Return Asset A Return Asset B State 10.3 7% 14% State 20.4 6% -4% State 30.3 -8% 8% The risk-free rate of return is 2%. (a) Calculate expected returns, variances, standard deviations, covariance, and correlation of returns of the two risky assets. (b) There are...
3. (a) In the case of multiple risky assets, explain the concepts of efficient frontier and feasible region. 5 points] (b) Suppose there are n risky assets (e.g. stocks) and a risk-free asset in the market. Explain how a mean-variance investor allocates his wealth across these assets. [10 points