2 Short Questions (30 points) 1. to points) Compute the variance of a portíolio composed of...
1. Compute the expected return for a company that will be traded at $100, $120, and $140 next period with probabilities 20%, 40%, and 40%, respectively. The price of that company today is $110. 2. Compute the correlation between assets A and B if you know that the standard deviation of B is 50% of the standard deviation of A and the covariance between the two assets is 0.5 times the variance of asset A. 3. What is the risk...
Question 3. Capital asset pricing model. (2 points) The expected return on the market portfolio is 9%. The risk free rate is 5%. The variance of the market portfolio returns is 0.08 and the covariance of the market and GE returns is 0.06. Calculate beta for GE. a) Interpret what beta means. b) Calculate the expected return for GE stock, how is it compared to the expected return on the market portfolio? c) If you form a portfolio with 75%...
Question 3. Capital asset pricing model. (2 points) The expected return on the market portfolio is 9%. The risk free rate is 5%. The variance of the market portfolio returns is 0.08 and the covariance of the market and GE returns is 0.06. a) Calculate beta for GE. Interpret what beta means. b) Calculate the expected return for GE stock, how is it compared to the expected return on the market portfolio? c) If you form a portfolio with 75%...
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...
Problem 2 (15 points) You invest $1,000 in a complete portfolio. The complete portfolio is composed of a risky portfolio with an expected rate of return of 16% and a standard deviation of 20% and a treasury bill with a rate of return of 5%. a) what percentage of your complete portfolio should be invested in the risky portfolio il you want your complete portfolio to have a standard deviation of 9%? b) The slope of the capital allocation line...
Problem 1: What is the variance of a portfolio with: w1 =0.2, w2 =0.8, σ12 =10, σ22 =20, and σ12 =5. Problem 2: a) If the stocks 1 and 2 have negative correlation 12 then their covariance σ12 is also negative. Yes, no, uncertain. Explain. b) If stocks 1 and 2 are uncorrelated, i.e. 12=0 then their covariance is zero, Yes, no, uncertain. Explain c) If stocks 1 and 2 have variance σ2=16 each, could their covariance be equal to...
Assume an investment manager is considering to invest in a portfolio composed of Stock (A) and Stock (B). Stock (A) has an expected return of 10% and a Variance of 100 (Standard Deviation=10), while Stock (B) has an expected return of 20% and a Variance of 900 (Standard deviation=30).1- Calculate the expected return and variance of the portfolio if the proportion invested in Sock (A) is (0, .2, .3,.5. .6,.7,1) .The Correlation Coefficient is .4.2- If the Correlation Coefficient is...
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
b. What are the variance and the standard deviation of each asset? c. What is the expected return of a portfolio with equal investment in all three assets? d. What is the portfolio's variance and standard deviation using the same asset weights in part Please show all steps! Expected return and standard deviation. Use the following information to answer the questions. Return on Asset R in Return on Asset S in State Return on Asset T in State State of...
You invest $3,000 in a complete portfolio. The complete portfolio is composed of a risky asset with an expected rate of return of 15% and a standard deviation of 20% and a Treasury bill with a rate of return of 10%. __________ of your complete portfolio should be invested in the risky portfolio if you want your complete portfolio to have a standard deviation of 8%. rev: 02_12_2013_QC_26430 17% 5% 37% 40%