# Question 1.1 of the Annuities Tut for Models

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Seems extremely basic, but I can't see any relationship, or find it anywhere on the table. The question is:

1.1 Find the value of $$a_\bar{45:n|}$$ on A1967–70 mortality at 6% interest.

answered May 21, 2016 by (570 points)
edited May 27, 2016

$${a}_\overline{45:20|}$$ = $$\ddot{a}_\overline{45:20|} - 1 +v^{20} \cdot _{20}p_{45}$$

you can break it down further (again all in advance):

$$\ddot{a}_{45} - v^{20}\ _{20}p_{45}\ddot a_{65} - 1 +v^{20}\ _{20}p_{45}$$

commented May 21, 2016 by (970 points)

Yeah I did that from first principles, didn't come out right... So it's either the answer that's wrong or I'm not reading the tables correctly. Either way, that clarifies the method, thanks :)

commented May 21, 2016 by (4,220 points)

Thanks Niall. I just fixed the notation a bit. It's \ddot{ }

commented May 27, 2016 by (870 points)

Thanks both! Should the last annuity factor have a 65 subscript rather than 45? (#rustycontingencies)

commented May 27, 2016 by (570 points)

Hi Jo, you are correct, I have adjusted the solution!