Choice between the two alternatives

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Reference no: EM13981578

A bettor with utility function U(x) = ln(x), where x is total wealth, has a choice between the following two alternatives:

A. Win $ 10,000 with probability 0.2 Win $1000 with probability 0.8

B. Win $3000 with probability 0.9 Lose $2000 with probability 0.1

a. If the bettor currently has $2500, should he choose A or B?

b. Repeat a, assuming the bettor has $5000.

c. Repeat a, assuming the bettor has $10,000.

d. Do you think that this pattern of choices between A and B is reasonable? Why or why not?

Source: D. E. Bell (1988) "One-Switch Utility Functions and a Measure of Risk." Management Science, 34, 1416-1424.

Reference no: EM13981578

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