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#1
05-09-2011, 04:33 PM
 lloopy Member CAS SOA Join Date: Oct 2009 Location: Denver, CO Studying for MFE or C College: Alumni, Indiana University Posts: 188 Blog Entries: 1
Illustrative Service Table

Can anyone explain this to me? I don't think I've used it in a question in the past few months.

Is it just an example of a discrete multiple-decrement table? Guessing based on another post here,
$l_x$ = # of people alive at the start of each year.,
$d_x^{(d)}$ = # of people who died,
$d_x^{(w)}$ = # of people who withdrew,
$d_x^{(l)}$ = # of people who retired early, and
$d_x^{(r)}$ is the number of people who retired?

A simple "yes" or better explanation for a "no" would be great.
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#2
05-09-2011, 04:43 PM
 abt5 Member CAS Join Date: Dec 2010 Favorite beer: ice ice baby Posts: 5,456

yes
#3
05-09-2011, 04:46 PM
 DyalDragon Member SOA Join Date: Apr 2009 Location: Here Studying for the hell of it... College: AASU Favorite beer: This one... Posts: 28,710

Quote:
 Originally Posted by lloopy Can anyone explain this to me? I don't think I've used it in a question in the past few months. Is it just an example of a discrete multiple-decrement table? Guessing based on another post here, $l_x$ = # of people alive at the start of each year., $d_x^{(d)}$ = # of people who died, $d_x^{(w)}$ = # of people who withdrew, $d_x^{(l)}$ = # of people who retired early, and $d_x^{(r)}$ is the number of people who retired? A simple "yes" or better explanation for a "no" would be great.
is the third "retired early"? i guess it doesn't matter what they stand for, since if they ask you a question about the table they will have to specify which decrement they want you to look at anyway
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#4
05-09-2011, 04:56 PM
 actuary44 Member CAS Join Date: Nov 2008 Location: Orange County, CA Studying for CAS Exam 5 Posts: 919

It's early retirement because they're assuming normal retirement age to start at 60. That's why the 3rd and 4th decrements don't overlap. But regardless, just use the table if you're asked a question about it. There's really no need to over-analyze what the decrements are. That's really beside the point.

Quote:
 Originally Posted by DyalDragon is the third "retired early"? i guess it doesn't matter what they stand for, since if they ask you a question about the table they will have to specify which decrement they want you to look at anyway
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#5
05-09-2011, 06:02 PM
 Math Member Join Date: Jan 2011 Posts: 296

its not a mere example, this is the table that you MUST use if the question says Decrements follow the Illustrative Service Table.
#6
05-09-2011, 07:37 PM
 lloopy Member CAS SOA Join Date: Oct 2009 Location: Denver, CO Studying for MFE or C College: Alumni, Indiana University Posts: 188 Blog Entries: 1

Quote:
 Originally Posted by Math its not a mere example, this is the table that you MUST use if the question says Decrements follow the Illustrative Service Table.
That was my understanding. When I used the word "example" it's the same as saying that the Illustrative Life Table is an "example" of a life table. The ILT that is included with our exams doesn't necessarily reflect the demographic reality of some particular region, but it's what we use for exam questions.
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#7
05-09-2011, 08:22 PM
 am_vanquish Member SOA Join Date: Mar 2007 Studying for the zombie apocalpyse Favorite beer: Smithwick's Posts: 722

The decrements can be defined as anything within the problem. I've seen at least one question where the (i) decrement was disability rather than early retirement.

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