Let Sn be the total assets of an insurance company at the end of year n. Suppose that in year n the company receives premiums of c and pays claims totaling ξn, where ξn are independent with Normal (µ, σ2) distribution, where 0 < µ < c. The company is ruined if its assets fall to 0 or below. Show
P (ruin) ≤ exp(−2(c − µ)S0/σ2)
The question belongs to Mathematics and it deals with calculation of an insurance company’s total assets.
Note: The solution is in handwritten format.
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