An investor is considering five possible investment strategies. The investor cares only about the expected payoff and possibly the variance of each strategy. The following table shows the payoffs under bad luck and good luck and the associated probabilities. Strategy | Bad Luck Payoff | Probability of Bad Luck | Good Luck Payoff | Probability of Good Luck --- | --- | --- | --- | --- A | 5 | 0.6 | 9 | 0.4 B | 4 | 0.3 | 5 | 0.7 C | 2 | 0.5 | 12 | 0.5 D | 4 | 0.8 | 11 | 0.2 E | 3 | 0.7 | 10 | 0.3 Using a spreadsheet, determine the expected value and variance for each strategy. What is the expected value for Strategy A? What is the variance for Strategy C? Which strategy would be chosen by a risk-neutral investor? Which strategy would be chosen by a risk avert investor? Which strategy would be chosen by a risk-preferring investor?
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The expected value is calculated as the sum of the product of each outcome and its probability. For Strategy A, the expected value is (5 * 0.6) + (9 * 0.4) = 3 + 3.6 = 6.6. Show more…
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