1.
Beta of Tbills=0
Sigma of Tbills=0
2.
=25000/20000*0.2=0.2500
3.
=25000/20000*1=1.2500
4.
w*18%+(1-w)*6%=20%
=>w=(20%-6%)/(18%-6%)=1.1667
Weight in Portfolio X=1.1667
Weight in Tbills=1-1.1667=-0.1667
Borrow 0.1667 and invest total 1.1667 in market portfolio
CAPM data: Market portfolio: Risk-free asset: Om = 0.2 E[RM]=18%, R, = 6% T-bills are also...
CAPM For a risky return r, CAPM equation is Er -r- B(E[rm] -r), where r is risk-free rate, Tm is market return, and is loading of risky return r on market return rm In what follows, X and Y denote arbitrary assets, B risk-free bond, M market portfolio. Determine which of the following scenarios are consistent or inconsistent with mean-variance efficiency (that is, CAPM). In your answer, write "Consistent" or "Inconsistent", and give brief explanation. 25% 12% 0.8 1.2 25...
Suppose that CAPM holds. Let Rf denote the risk free rate, E(RM) the expected return of the market portfolio, and sigmaMthe standard deviation of the market portfolio. Now consider some portfolio on the capital market line, with expected return E(R) and standard deviation sigma. What is the beta of this portfolio? Select one: 1. E(R)/sigma 2. sigmaM/sigma 3. sigma/sigmaM 4. E(RM)-Rf
Using CAPM Suppose that CAPM holds, and so E(r;) = r, +B; *(E(rw)-r.) The expected market return (S&P500) is 14% and T-bill rate (risk-free) is 5%. - What is the expected return on a stock with B = 0? - What is the expected return on a stock with B = 1? • What is the expected return on a portfolio made up of 50% T- bills and 50% market portfolio? - What is the expected return on stock with...
Er (%) 0.2 Consider the CAPM framework. Suppose that you currently have 40% of your wealth in Treasury Bills, risk-free, and 60% in the four assets below Asset i Bi Wi i = 1 8.5 0.2 0.1 i = 2 13.1 0.8 0.1 i = 3 16.6 1.2 0.2 i = 4 18.7 1.4 Let the four assets be traded in a market M with Erm = 15% and let the risk-free rate be rf = 4%, answer the following...
The investment universe consists of: a risk-free T-bill with
annual yield of r = 3%; shares of common stock of company 1, with
expected return of 1 = 9% and volatility of 1 = 16% shares of
common stock of company 2, with expected return of 2 = 14% and
volatility of 2 = 23%.
Portfolio selection and CAPM The investment universe consists of: . a risk-free T-bill with annual yield of r = 3%; . shares of common stock...
The investment universe consists of: a risk-free T-bill with
annual yield of r = 3%; shares of common stock of company 1, with
expected return of 1 = 9% and volatility of 1 = 16% shares of
common stock of company 2, with expected return of 2 = 14% and
volatility of 2 = 23%.
Portfolio selection and CAPM The investment universe consists of: . a risk-free T-bill with annual yield of r = 3%; . shares of common stock...
You have prepared the following scenario analysis for the returns of the market index portfolio, M, and a stock. Assume that each scenario is equally likely. 1. Rate of return Scenario Bust Boom Market 10% 30% Stock 14% 26% a. Find the variance of the market and the stock, and beta of the stock. b. What is the expected rate of return on the stock and the market index? If the T-bill rate is 6 percent, what does the CAPM...
You have prepared the following scenario analysis for the returns of the market index portfolio, M, and a stock. Assume that each scenario is equally likely. 1. Rate of return Scenario Bust Boom Market 10% 30% Stock 14% 26% a. Find the variance of the market and the stock, and beta of the stock. b. What is the expected rate of return on the stock and the market index? If the T-bill rate is 6 percent, what does the CAPM...
(2*5) Consider a market with many risky assets and a risk-free security. Asset’s returns are not perfectly correlated. All the CAPM assumptions hold and the market is in equilibrium. The risk-free rate is 5%, the expected return on the market is 15%. Mr. T and Mrs. R are two investors with mean-variance utility functions and different risk-aversion coefficients. They both invest into efficient portfolios composed of the market portfolio and the risk-free security. Mr. T’s portfolio has an expected return...
(a) Suppose that the CAPM holds. Consider stocks A, B, C and D
plotted in the graph below together with portfolios X, T (the
tangency or market portfolio), Z, and the risk-free asset S. No
explanation necessary.
(i) If you could invest in the risk-free asset S and only one of
the stocks A, B, C or D, which stock would you choose?
(ii) Which of the stocks, A, B, C, or D, has the highest
beta?
(iii) Which of...