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#51




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also remember PAK may not be 100% correct... unless someone confirms it/until the answe ris out.
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#52




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#53




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#54




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1030= P*(continuous ten year annuity state 0 (a00) + .75* continuous ten year annuity state 1 (a01)) I calculated a00 as 1/(.06+.025)*(1e^.085*10) and a01 as integral from 0 to 10 of e^.06*tpx01 that was from the first question and I kept getting 95 or something like that which wasn't right 
#55




Do you remember how you did it?
This is what I did: wrote out expression for e_{[58]+2} which was: p_{[58]+2}+p_{[58]+2}*p_{61}+p_{[58]+2}*p_{61}*p_{62}+... rewrote as p_{[58]+2}+p_{[58]+2}*(e_{61}) . because it was 3 year select period. To get e_{61}, use recursion property: e_{60}=p_{60}*(1+e_{61}) because they gave us what e_{60} was equal to. plug e_{61} back into exspression for e_{[58]+2}, evaluate, then you have e_{[58]+2}. After that, add 0.5 to e_{[58]+2} to get the complete expectation of life aged {58}+2. My gut feeling is the mistakes happened here: when calculating e_{61} some people might have calculated using the following: e_{60}=p_{[58]+2}(1+e_{61}), but I do not think p_{[58]+2} should have been used here, instead p_{60} should have been used. Just my thoughts. I cannot remember my answer, but I am pretty sure I used p_{60} instead of p_{[58]+2} in the expression for e_{60}, to solve for e_{61}. I hope I got this one correct, I really do. I am probably missing something here though. I burned about 12 minutes on this problem. Not smart, but it was in the last half hour of the exam and I was just trying to wrack up as many MC points as possible.
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Last edited by josephshack; 10282017 at 04:02 PM.. 
#56




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#57




The Select/Ultimate mortality question always seems to be the same. It requires recursion to the point where the select period ends.
They were asking for e[58]+2 and e61 was given right? I forget the specifics. e[58]+2 = vp[58]+2 * (1+e61) and you just need to add .5 at the end because I believe UDD was assumed. 
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Hey cixelsidmaikool, Get rid of that v!!!! they were asking for e[58]+2. e_{60} was given as 1 I thought. Not e_{61}. I could be wrong, but I am pretty sure e_{60} was given. But your method makes sense: e[58]+2 = p[58]+2 * (1+e61). Just gotta solve for e_{61} with what they gave us then use that to get e[58]+2.
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Last edited by josephshack; 10282017 at 05:04 PM.. 
#60




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