According to the FBI’s Uniform Crime Reports, approximately 1 in 365 cars was stolen in the United States in 2018. Beth owns a car worth $20,000 and is considering purchasing an insurance policy to protect herself from car theft. For the following questions, assume that the chance of car theft is the same in all regions and across all car models.

a. What should the premium for a fair insurance policy have been in 2018 for a policy that replaces Beth’s car if it is stolen? (Hint: In your calculation, round up to three decimal places.)

b. Suppose an insurance company charges 0.6% of the car’s value for a policy that pays for replacing a stolen car.

How much will the policy cost Beth?

c. Will Beth purchase the insurance in part b if she is risk-neutral?

d. Discuss a possible moral hazard problem facing Beth’s insurance company if she purchases the insurance.