Actuarial Outpost Reserve (Prospective vs Retrospective)
 Register Blogs Wiki FAQ Calendar Search Today's Posts Mark Forums Read
 FlashChat Actuarial Discussion Preliminary Exams CAS/SOA Exams Cyberchat Around the World Suggestions

ACTUARIAL SALARY SURVEYS
Contact DW Simpson for a Personalized Salary Survey

 Long-Term Actuarial Math Old Exam MLC Forum

#1
08-14-2019, 09:59 PM
 actuarialkid97 Join Date: Aug 2019 Posts: 3
Reserve (Prospective vs Retrospective)

For a fully continuous 20-year term endowment of 10,000 on (50), you are given
https://imgur.com/dRkLxQf

My approach:
https://imgur.com/YkxLxt0

I got different answers for them.
One is 4031.454359 and another is 3160.386356. Where's my mistake?
#2
08-14-2019, 10:26 PM
 Gandalf Site Supporter Site Supporter SOA Join Date: Nov 2001 Location: Middle Earth Posts: 31,427

It's a little hard for me to read your writing, but when you calculate $\bar{A}_{{50}:\overline{20}|}$
it looks like you have a term of $\int_0^{20} v^{20} (1/90) dt$
If so, why v^20 instead of v^t? And where is the 90 coming from? I would expect 120-50=70. Similarly a 90 in the other term.
#3
08-14-2019, 11:21 PM
 actuarialkid97 Join Date: Aug 2019 Posts: 3

I found what my mistake. Thanks !