Question: Suppose my utility function for asset position x is given by u(x)=ln x. I now have $20000 and am considering the following two lotteries: L1:
Suppose my utility function for asset position x is given by u(x)=ln x. I now have $20000 and am considering the following two lotteries: L1: With probability 1, I lose $1000. L2: With probability 0.9, I gain $0, and with probability 0.1, I lose $10000. What is expected utility of L1 and L2? Determine which lottery I prefer based on expected utility criterion.

Suppose my utility function for asset position x is given by u(x)=In x. I now have $20000 and am considering the following two lotteries: L1: With probability 1, I lose $1000. L2: With probability 0.9, I gain $0, and with probability 0.1, I lose $10000. What is expected utility of L1 and L2? Determine which lottery I prefer based on expected utility criterion. (25 pts.) Select one: a. Expected utility of L1=8.987, Expected utility of L2=9.072, L2 is preferred. b. Expected utility of L1=9.072. Expected utility of L2=8.987, L1 is preferred. c. Expected utility of L1=9.626. Expected utility of L2=9.547, L1 is preferred. d. Expected utility of L1=9.547, Expected utility of L2=9.626, L2 is preferred. e. Expected utility of L1=9.834, Expected utility of L2=9.852, L2 is preferred. f. Expected utility of L1=9.852. Expected utility of L2=9.834, L1 is preferred