Suppose my utility function for asset position x is given by u(x) = ln x.

a Am I risk averse, risk neutral, or risk seeking?

b I now have $20,000 and am considering the followingtwo lotteries:

L1:

With probability 1, I lose $1,000.

L2:

With probability .9, I gain $0.

 

With probability .1, I lose $10,000.

Determine which lottery I prefer and the risk premium of L2.