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A company starts off with a surplus of 500,000 for a portfolio of 10,000 insureds. All insureds have similar risk, with the number of claims

A company starts off with a surplus of 500,000 for a portfolio of 10,000 insureds. All insureds have similar risk, with the number of claims for each insured following a Poisson with = 0.2, and claim amount following a Gamma with = 50, = 0.1. The company paid 1,100,000 in claims during Year 1. a) Using the normal approximation, what premium does the company charge at the start of each year if its ruin probability in Year 2 is 1% ?

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