Consider the following three choice situations:

Choice (i): ( $2500,1/2 ; $0,1/2 ) vs. ( $1300,1 )

Choice (ii): ( $6000,1/4 ; $1000,3/4 ) vs. ( $2300,1 )

Choice (iii): ( $600,1/4 ; $400,1/4 ; $200,1/4 ; $0,1/4 ) vs. ( $400,1/2 ; $200,1/2 )

a) Suppose Josh is a risk-averse expected utility maximizer. For each choice, can we determine which option Josh will choose, or do we need more information?

b) For each choice, as Josh becomes more risk averse, does he become more prone to choose the first or second option?

c) Now suppose Josh has a CRRA utility function. For each choice, as Joshs wealth becomes larger, does he become more prone to choose the first or second option?

(Note: You should be able to intuit an answer to part (c) no math is needed.)