RE: May 1995 Q 22 - insurer's expected annual pmt

( Keith.Rogers@ercgroup.com )
Wed, 27 Oct 1999 06:27:31 -0500

I also have a problem determining which type of payment the questions is
asking for. F97 #22 stumped me too. My assumption will be to include zero
payments if the question does not mention them explicitly.

Can any one else shed any light on this?

Good Luck to all!

-----Original Message-----
From: jbkelly@genre.com [mailto:jbkelly@genre.com]
Sent: Mittwoch, 27. Oktober 1999 01:08
To: studygroup4B@lists.casact.org
Subject: May 1995 Q 22 - insurer's expected annual
pmt

losses follow a pareto (a=2, l=1000)
10 losses are expected each year
insurer pays the whole amount of those claims above 100

My question is why don't we divide by the probability of
being greater than
100 [s(100)]?
My thought (WRONG) was that the insurer's average payment
is (the total
amount of all the payments ) divided by (the number of
payments.)

****
When is it required to divide by s(100)? Will the problem
specifically say
NONZERO payments? Are there any other phrases that would
indicate nonzero
payments only?
****

wait to scroll down if you want to work it out be for seeing
the answer

here's the answer: E[x] - E[X,100] + 100s(100)

I did this (which is wrong) : E[x] - E[X,100] + 100s(100)
/ s(100). I
interpeted the problem wrong and found the average of
nonzero payments ( I
think).

-john