1. Suppose that you have the opportunity to buy stock in AT&T and Microsoft. Mean Variance...
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1. Suppose that you have the opportunity to buy stock in AT&T and Microsoft. Mean Variance (a) What is the expected return of a portfolio whose weight on AT&T is 0.6 and weight on Microsoft is 0.4? AT&T Microsoft 0.15 0.18 0.015 0.035 (b) Assume the correlation between the two stocks is 0.6. What is the variance of the portfolio ? (c) Now assume that the correlation between AT&T and Microsoft is -1. Find the weights of the two stocks that produce a minimum risk portfolio. What is the variance of this portfolio? 2. Consider a standard portfolio choice problem with two risky assets: equity and risky bond. Their expected returns, standard deviations, and the correlation co- efficient are given by E(r) O p(corr) bond equity 8% 13% 12% 20% 0.3 a) Suppose the risk-free interest rate is 5%, find the tangency portfolio. b) Given the 5% risk-free interest rate and the utility function of an investor E(re)-0.005 Ao2, where A = 5, 1 what are the investor's optimal portfolio weights on the equity and risky bond? c) Suppose the risk-free interest rate is 6%, find the tangency portfolio. d) Suppose the risk-free saving rate is 5% and the risk-free borrowing rate is 6%. Find the optimal portfolio weights of equity, risky bond, and safe asset for an investor with A = 2. 3. Discuss whether each of the following statements is true or false and WHY. a) The Capital Asset Pricing Model implies that the required rate of return for a company should never be the risk-free return b) The return of a well-diversified portfolio in Arbitrage Pricing Theory is risk-free due to the risk diversification. 1. Suppose that you have the opportunity to buy stock in AT&T and Microsoft. Mean Variance (a) What is the expected return of a portfolio whose weight on AT&T is 0.6 and weight on Microsoft is 0.4? AT&T Microsoft 0.15 0.18 0.015 0.035 (b) Assume the correlation between the two stocks is 0.6. What is the variance of the portfolio ? (c) Now assume that the correlation between AT&T and Microsoft is -1. Find the weights of the two stocks that produce a minimum risk portfolio. What is the variance of this portfolio? 2. Consider a standard portfolio choice problem with two risky assets: equity and risky bond. Their expected returns, standard deviations, and the correlation co- efficient are given by E(r) O p(corr) bond equity 8% 13% 12% 20% 0.3 a) Suppose the risk-free interest rate is 5%, find the tangency portfolio. b) Given the 5% risk-free interest rate and the utility function of an investor E(re)-0.005 Ao2, where A = 5, 1 what are the investor's optimal portfolio weights on the equity and risky bond? c) Suppose the risk-free interest rate is 6%, find the tangency portfolio. d) Suppose the risk-free saving rate is 5% and the risk-free borrowing rate is 6%. Find the optimal portfolio weights of equity, risky bond, and safe asset for an investor with A = 2. 3. Discuss whether each of the following statements is true or false and WHY. a) The Capital Asset Pricing Model implies that the required rate of return for a company should never be the risk-free return b) The return of a well-diversified portfolio in Arbitrage Pricing Theory is risk-free due to the risk diversification.
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1a Portfolio expected return Weight of ATT ERATT Weight of Microsoft ERMicrosoft 06 015 04 018 009 0... View the full answer
Related Book For
Statistics For Business Decision Making And Analysis
ISBN: 9780134497167
3rd Edition
Authors: Robert A. Stine, Dean Foster
Posted Date:
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