Pareto claims under excess of loss
Paper A style · Losses and reinsurance · Straightforward · 8 marksIndividual claim amounts on a household contents portfolio follow a Pareto distribution with parameters and , so that for . The insurer has an individual excess of loss reinsurance treaty with retention £2,000.
- (i)1 mark
Calculate the probability that a claim involves the reinsurer, to 4 significant figures.
- (ii)3 marks
Calculate the insurer's expected payment per claim, to the nearest penny.
- (iii)2 marks
Calculate the reinsurer's expected payment on a claim that involves the reinsurer, to the nearest penny.
- (iv)2 marks
Hence calculate the reinsurer's expected payment per claim (including claims that do not involve it), to the nearest penny, and check your answers against the mean claim amount.