...Merrill Finch Inc. Risk and Return Assume that you recently graduated with a major in finance. You just landed a job as a financial planner with Merrill Finch Inc., a large financial services corporation. Your first assignment is to invest $100,000 for a client. Because the funds are to be invested in a business at the end of 1 year, you have been instructed to plan for a 1-year holding pe riod. Further, your boss has restricted you to the investment alternatives in the following table, shown with their probabilities and associated outcomes. (For now, disregard the items at the bottom of the data; you will fill in the blanks later.) Returns on Alternative Investments Estimated Rate of Return State of the Economy Prob. T-Bills High Tech Collec- tions U.S. Rubber Market Portfolio 2-Stock Portfolio Recession 0.1 5.5% -27.0% 27.0% 6.0% a -17.0% 0.0% Below Avg. 0.2 5.5 -7.0 13.0 -14.0 -3.0 Average 0.4 5.5 15.0 0.0 3.0 10.0 7.5 Above Avg. 0.2 5.5 30.0 -11.0 41.0 25.0 Boom 0.1 5.5 45.0 -21.0 26.0 38.0 12.0 r-hat ( r ˆ ) 1.0% 9.8% 10.5% Std. dev. ( ) 0.0 13.2 18.8 15.2 3.4 Coeff. of Var. (CV) 13.2 1.9 1.4 0.5 beta (b) -0.87 0.88 a Note that the estimated returns of U.S. Rubber do not always move in the same direction as the overall economy. For example, when the economy is below average, consumers purchase fewer tires than they would if the economy were stronger. However, if the economy is in a flat-out recession, a large number...
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