1. You are trying to plan your investments for the next year. You have decided that...
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1. You are trying to plan your investments for the next year. You have decided that the market will either be strong (a bull market), weak (a bear market) or normal. You think that stocks, bonds, and bills will earn the following returns in these scenarios: Probability Scenario Bull market Normal market Bear market 0.20 0.55 0.25 Stock Bond Return Return 0.25 0.06 0.10 0.04 -0.15 -0.02 Bill Return 0.03 0.03 0.03 You have also decided that you have a risk-aversion (A) of 4. (a) What is the expected return for each of the securities? (b) What is the volatility of each security return? (c) What is the covariance between stock and bond returns? (d) If you combine stocks and bills as an investment, what is your op- timal combination? What is your expected return? What is your portfolio's volatility? (e) If you combine bonds and bills, what is your optimal combination? What is your expected return? What is your portfolio's volatility? (f) If you combine stocks and bonds, what is your optimal combination? What is your expected return? What is your portfolio's volatility? (g) If you combine all three assets in your portfolio, what is your op- timal combination? What is your expected return? What is your portfolio's volatility? 1. You are trying to plan your investments for the next year. You have decided that the market will either be strong (a bull market), weak (a bear market) or normal. You think that stocks, bonds, and bills will earn the following returns in these scenarios: Probability Scenario Bull market Normal market Bear market 0.20 0.55 0.25 Stock Bond Return Return 0.25 0.06 0.10 0.04 -0.15 -0.02 Bill Return 0.03 0.03 0.03 You have also decided that you have a risk-aversion (A) of 4. (a) What is the expected return for each of the securities? (b) What is the volatility of each security return? (c) What is the covariance between stock and bond returns? (d) If you combine stocks and bills as an investment, what is your op- timal combination? What is your expected return? What is your portfolio's volatility? (e) If you combine bonds and bills, what is your optimal combination? What is your expected return? What is your portfolio's volatility? (f) If you combine stocks and bonds, what is your optimal combination? What is your expected return? What is your portfolio's volatility? (g) If you combine all three assets in your portfolio, what is your op- timal combination? What is your expected return? What is your portfolio's volatility?
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a Stock return 025 x 020 015 x 055 002 x 010 011 Bond return 006 x 020 003 x 055 004 x 010 003 Bill ... View the full answer
Related Book For
Introductory Statistics Exploring the World Through Data
ISBN: 978-0321978271
2nd edition
Authors: Robert Gould, Colleen Ryan
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