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Long-Term Actuarial Math Old Exam MLC Forum

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  #1  
Old 08-03-2019, 07:08 PM
isaiahbarrett27 isaiahbarrett27 is offline
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Default 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

Last edited by isaiahbarrett27; 08-04-2019 at 11:08 AM..
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Old 08-04-2019, 02:46 AM
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What values do those formulas give for 2q(τ)60?
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Old 08-04-2019, 11:10 AM
isaiahbarrett27 isaiahbarrett27 is offline
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My answer gives .26728 and theirs .288. Possible just rounding?
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Old 08-04-2019, 11:17 AM
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You are likely doing something wrong. Show in steps how you get .26728.
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Old 08-04-2019, 11:21 AM
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I get 0.288 using your formula.

1000-712 = 288. Just sayin'...
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Old 08-04-2019, 11:42 AM
isaiahbarrett27 isaiahbarrett27 is offline
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Yep. I'm realizing my error now. Thanks!
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