Actuarial Outpost ASM Manual Question - joint probability
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#1
03-03-2018, 10:17 AM
 am62 SOA Join Date: Dec 2017 College: University of Illinois Posts: 15
ASM Manual Question - joint probability

Hello,
Can someone please explain why my approach does not work? Their solution is the second picture. I am having a hard time figuring out what their (1-e^.2e^-.03t) represents.
Thanks!
Attached Images

#2
03-03-2018, 09:47 PM
 Adapt and Chill Member SOA AAA Join Date: Sep 2017 College: Davidson College Posts: 137

You left out the previous page, which answers your question. Because the force of mortality for x is defined piecewise, it is not constant for all x.

e^.2e^-.03t = tpx, for t>10.
So 1-e^.2e^-.03t = tqx for t>10.

Your picture is kind of hard to see, so I can't compare it to your work.