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#1
03-12-2014, 06:20 AM
 ScorpioAB CAS SOA Join Date: Jan 2013 College: University of Washington Posts: 16
Quick check-up on Mortality Function in Life Table Notation

Hi all,

Just wanna double check on the formula for Tx,
If I remember it correctly, Tx = lx * oex
Which means the sample problem here has the solution wrong
Here it says T20 = l0 * oe20 = (800)*(30) = 24,000
But I got T20 = l20 * oe20 = (600)*(30) = 18,000

Am I right??
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Last edited by ScorpioAB; 03-12-2014 at 04:45 PM..
#2
03-12-2014, 11:39 PM
 clarinetist Member Non-Actuary Join Date: Aug 2011 Studying for Rcpp, Git Posts: 6,886

What is $T_{20}$ supposed to be in this context? There's no way it's the future lifetime random variable, as that is an unknown value...
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#3
03-13-2014, 08:38 AM
 ScorpioAB CAS SOA Join Date: Jan 2013 College: University of Washington Posts: 16

Quote:
 Originally Posted by clarinetist What is $T_{20}$ supposed to be in this context? There's no way it's the future lifetime random variable, as that is an unknown value...
What do you mean by there's no way it's the future lifetime rv?
Isn't Tx the expected total life years lived after age x by the lx individuals alive at age x? so T20 would have a value to it.
And the entire question is just like that, I didn't cut off anything, so I assume there would be no context to it.

I think it's a typo and the answer should be 18000 instead, I just need some people to approve my thought here
#4
03-13-2014, 10:00 AM
 Abraham Weishaus Member SOA AAA Join Date: Oct 2001 Posts: 7,250

In the pre-2012 syllabus, T_x was used in the way you indicate. That concept is no longer on the syllabus, and T_x is now used to indicate a different concept.
#5
03-20-2014, 01:12 PM
 ScorpioAB CAS SOA Join Date: Jan 2013 College: University of Washington Posts: 16

Thanks Abraham, I switched to ASM 13th edition now