I - Decision Under Uncertainty

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	4	0.6	9	0.4
B	5	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

1. Using a spreadsheet, determine the expected value and variance for each strategy.
2. Which strategy would be chosen by a risk-neutral investor? A risk-preferring investor?
3. Can we rule out any strategies if we know only that the investor is risk-averse?