Calling all Actuaries

SyZtheActuary·12/30/2014, 4:38:09 AM·1 votes·900 views

Two life insurance policies, each with a death benefit of 10, 000 and a one-time premium of 500, are sold to a couple, one for each person. The policies will expire at the end of the tenth year. The probability that only the wife will survive at least ten years is 0.025, the probability that only the husband will survive at least ten years is 0.01, and the probability that both of them will survive at least ten years is 0.96. What is the expected excess of premiums over claims, given that the husband survives at least ten years?

3 Comments

Alljoy12/30/2014, 4:47:32 AM1 votes

Depends on the efficiency of the first responders to domestic violence house calls.

FHMarshy12/30/2014, 4:06:49 PM1 votes

Is this from the sample questions from Exam P?

FarRockBF12/30/2014, 4:36:57 PM1 votes

I don't understand the question. If it is given that the husband survives how does his policy even make sense (the whole premium is excess if we know he will survive)?

(I'm not an actuary but have a Math Masters)