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Chapter 6 Assignment a. Calculate r hat, sigma square, sigma, and CV from the following information. Demand Probability of Demand Occurring Poor .1 Below Average .2 Average .4 Above average .2 Excellent .1 Rate of Return if demand occurs -70% -15% 11% 39% 55% b. Explain the difference between diversifiable and market risk. A diversifiable risk is a risk of price change due to the unique circumstances of a specific security, as opposed to the overall market. c. Use the following data from ABC and XYZ to calculate annual returns for each company and the market index. Then figure out the average returns for each. You do this by ((New stock price - Old stock price + dividend) / Old stock price)). Year 2012 2011 2010 2009 2008 2007 Stock Price 20.69 16.59 17.59 13.69 11.58 10.56 ABC Dividend 1.20 1.10 1.00 .90 .80 .70 XYZ Stock Price 95.00 70.00 61.00 56.00 43.59 32.00 Dividend 6.00 5.50 5.00 4.50 4.00 3.50 Now calculate the rates of return for the two companies and the index: Market Index (includes dividend) 10,561.48 9,025.58 8,654.98 7,800.12 7,425.57 6,135.59 ABC XYZ Market Index 2012 2011 2010 2009 2008 d. Now calculate the standard deviation of returns for ABC, XYZ, and the Market Index. Use information from part f. ABC XYZ Market Index Std. Dev. e. Calculate the coefficients of variation of ABC, XYZ, and the Market Index. Use information from part f and g. ABC XYZ Market Index CV f. Use the information that you calculated in part F to run a regression to estimate ABC's and XYZ's beta. Use the tool kit as a guide for running regressions. Stock returns are the y-axis and the market return is the x-axis. ABC beta is XYZ beta is g. The risk free rate on LT treasury bonds is 1.5%. Assume the market risk premium is 4%. Use the CAPM to calculate the two companies' required returns. rs = risk free rate + Beta *Market Risk Premium. Betas are listed in part I. Required return for ABC = Required return for XYZ = h. What is the portfolio beta that consists of 50% of both stocks (ABC and XYZ)? Use part I for information. Portfolio Beta =