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-   -   Multiple Decrement Models (http://www.actuarialoutpost.com/actuarial_discussion_forum/showthread.php?t=342361)

isaiahbarrett27 08-03-2019 08:08 PM

Multiple Decrement Models
 
Hello all! I'm in need of some notation assistance. The notation for the probability of death from 60 to 62 due to any decrement is given as 2q(τ)60. And I've been thinking that q(τ)60 + p(τ)60*q(τ)61 was an analagous formula able to use. However, when I was working through a few life table questions this was given as: # failures due to any decrement between 60 and 62/ I(τ)60. Which should yield the same answer right? But for some reason thats not the case.

Also given:

x l(τ)x d(1)x d(2)x d(3)x
60 1,000 35 65 40
61 l(τ)61 40 d(2)61 35
62 712 51 80 581

where l(τ)61 = 860 and d(2)61 = 73

Gandalf 08-04-2019 03:46 AM

What values do those formulas give for 2q(τ)60?

isaiahbarrett27 08-04-2019 12:10 PM

My answer gives .26728 and theirs .288. Possible just rounding?

Gandalf 08-04-2019 12:17 PM

You are likely doing something wrong. Show in steps how you get .26728.

Breadmaker 08-04-2019 12:21 PM

I get 0.288 using your formula.

1000-712 = 288. Just sayin'...

isaiahbarrett27 08-04-2019 12:42 PM

Yep. I'm realizing my error now. Thanks!


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