Question

U U d с b a 30 50 75 100 4. The figure above shows lan’s utility-or-wealth function. He currently has $50 and is considering

How do you solve this mathematically?

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Answer #1

Ian will mak the investment if the expected utility of making the investment >= expected utility of not making the investment.

expected utility of making the investment = pr(success)*u(value form success) + pr(fail)*u(value from fai)l

= p*u(100) + (1-p)*0 = p*u(100)

expected value of not making the investment = u(50)

We can see from the graph that u(50) = 0.75*u(100)

Thus, the answer is (a) if p is 0.75

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