(Step-by-Step) 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


Question: A bettor with utility function $\mathrm{U}(x)=\ln (x)$, 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 \(\mathrm{A}\) or \(\mathrm{B} ?\)

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 \(\mathrm{A}\) and \(\mathrm{B}\) is reasonable? Why or why not?

Price: $2.99
Solution: The downloadable solution consists of 2 pages
Deliverable: Word Document

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