Four analysts cover the stock of Alcohol Chemical. One forecasts a 5% return for the coming year. A second expects the return to be negative 5%. A third predicts a 10% return. A fourth expects a 3% return in the coming year. You are relatively confident that the return will be positive but not large, so you arbitrarily assign probabilities of being correct of 35%, 5%, 20%, and 40%, respectively, to the analysts’ forecasts. Given these probabilities, what is Alcohol Chemical’s expected return for the coming year? (Format: 1.11%)

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter12: The Cost Of Capital
Section: Chapter Questions
Problem 23P
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A.) Four analysts cover the stock of Alcohol Chemical. One forecasts a 5% return for the coming year. A second expects the return to be negative 5%. A third predicts a 10% return. A fourth expects a 3% return in the coming year. You are relatively confident that the return will be positive but not large, so you arbitrarily assign probabilities of being correct of 35%, 5%, 20%, and 40%, respectively, to the analysts’ forecasts. Given these probabilities, what is Alcohol Chemical’s expected return for the coming year? (Format: 1.11%)

 

B.) Your portfolio has three asset classes. U.S. government T-bills account for 45% of the portfolio, large-company stocks constitute another 40%, and small-company stocks make up the remaining 15%. If the expected returns are 3.8% for the T-bills, 12.3% for the large-company stocks, and 17.4% for the small-company stocks, what is the expected return of the portfolio? (Format: 1.11%)

 

C.) If investors have become more risk-averse due to recent geopolitical events, and the market return rises to 13%, what is the required rate of return for the same asset? (Format: 1.111)

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