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2) Suppose it costs you $100 (psychologically) to drive safely. Your car is worth $10,000. If you have a car accident, the value of your

2) Suppose it costs you $100 (psychologically) to drive safely. Your car is worth $10,000. If you have a car accident, the value of your car becomes $0. If you drive safely, the probability of car accident is 5%. Otherwise, the probability of car accident is 10%. For safe drivers, insurance company offers the following policy: insurance premium is $800. Reimbursement is $10,000 if a car accident happens. A) Calculate the utility of safe driving and unsafe driving after buying the insurance, assuming the utility function is ?? = ??, where x is the amount of money. Are you going to drive safely or unsafely after insurance? B) Calculate the profit of insurance company in equilibrium.

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