9.3 Problem 8.4 examined a cost-sharing health insurance policy and showed that risk-averse individuals would prefer full coverage. Suppose, however, that people who buy cost-sharing policies take better care of their own health so that the loss suffered when they are ill is reduced from $10,000 to $7,000. Now what would be the actuarially fair price of a cost-sharing policy? Is it possible that some individuals might prefer the cost-sharing policy to complete coverage? What would determine whether an individual had such preferences? (A graphical approach to this problem should suffice.)