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Consider the two investments below and their associated payoffs and probability. If your utility function is U(W) = W 0.04W^2 which investment do you prefer?

Consider the two investments below and their associated payoffs and probability. If your utility function is U(W) = W 0.04W^2 which investment do you prefer?

INVESTMENT A

INVESTMENT B

$ OUTCOME

PROBABILITY

$ OUTCOME

PROBABILITY

7

2/5

5

1/2

10

1/5

12

1/4

14

2/5

20

1/4

For Investment B, create new probabilities so that an investor would be indifferent between the two assets. (Hint: it is easier to change just two of the probabilities. So, for instance, leave the $20 payoff at 25% probability and adjust the other two.)

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