3. An investment of $10,000 in a high-risk venture has a 50-50 chance over the next year of increasing to $14,000 or decreasing to $8000. Thus the net return can be either $4000 or -$2000.

(a) Assuming a risk-neutral investor and a utility scale from 0 to 100, determine the utility of $0 net return on investment and the associated indifference probability.