Actuarial Notes

CAS Exam 8 Fall 2015, Question 22

Study guide: Exam 9

An insurance company is exposed to three independent catastrophic risks in three different regions in a given year. More than one event can occur in a year but each event can only occur once in a year. Events have the following size and probability:

Event Loss Amount Annual Probability of Occurrence
1 $10,000,000 0.10
2 $15,000,000 0.05
3 $35,000,000 0.02

Part a (2.25 points)

Calculate the Aggregate Exceedance Probabilities associated with the insurance company's exposure.

Part b (0.5 points)

Using a randomly generated number of 0.86, simulate the insured total loss.

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Concepts tested

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