In: Statistics and Probability
An insurance company provides theft insurance for a set of diamond jewellery. In the event of theft, the policy pays $ 10 million. Theft for this kind of jewellery happens only very rarely, with a chance of 0.01%. How much (in terms of insurance premium) would the insurance company charge its client, in order to break even on average?
payment (if theft occurs) = $10 million
P(theft) = 0.01% = 0.0001
premium for break even = payment(theft)*P(theft)
= $10 million * 0.0001
= $ 10,000,000 * 0.0001
= $ 1000
therefore,
insurance premium that the insurance company charge its client = $1000