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Assignment:
Carolina manages a restaurant along the beach in Florida. The restaurant makes $850,000 each year in profit as long as no hurricane hits the area. However if a hurricane does hit and causes partial damage, the restaurant only makes $350,000 that year, and if a hurricane hits and causes full damage, the restaurant makes $0 that year. Based on historical trends, the chance of a hurricane occurring and causing partial damage to the restaurant is 20%, and the probability of a hurricane occurring and causing full damage to the restaurant is 10%.
a) What is the expected pro?t of Carolina's restaurant each year?
b) Carolina is looking to get insurance and she contacts Geico who offer her an insurance policy that will pay $300,000 if the restaurant incurs partial damage and will pay $500,000 if the restaurant incurs full damage. What is the actuarially fair premium price for this policy?
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