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Agtuary
10-24-2002, 10:42 PM
A special purpose insurance company is set up to insure a single risk. The risk consists of a single claim.

The claim amount is distributed as Pr(x=100)=0.75, Pr(X=250)=0.25. The possible times of occurence, k=1,2,3,4,5, are equally likely. The time of occurence is independent of the claim amount.

The insurer's initial surplus is 50 and a premium of 50 arrives at the beginning of each of the first 5 periods.

Calculate the probability of ruin.

A) 0.10
B) 0.15
C) 0.20
D) 0.25
E) 0.30

The correct answer to come later.

MountainHawk
10-24-2002, 10:56 PM
Ruin only occurs if a 250 claim happens at times 1,2, or 3. Thats 1/4 * 3/5 or .15.

Macroman
10-24-2002, 11:05 PM
wow 14 minutes post to answer...that one was way too easy tho'