Mistake? April 2010 Question 4

Discussion in 'CT5' started by Dona169, Aug 25, 2017.

  1. Dona169

    Dona169 Member

    The answer on page 84 of the revision booklet for the single premium is £137.38.
    Surely that can't be right? For an increasing term assurance starting at £10,000 +£100 each policy year.

    I've used the formula below:
    P= 9900A1[50]:5] +100(IA)1[50]:5]
    and got P approx=8150.06

    What's going wrong here? Thanks!
     
  2. I can't really tell what's going wrong, because I can't see how you've calculated your numbers. But the formula you have used is correct (and is the same one as used in the solutions - which is also correct).
    But the very small value is quite reasonable. A term assurance only pays out on death. The probability of a select 50-year old dying in 5 years is very small, eg around 1.5%. So with an average sum assured of 10250 this would be an approximate EPV of 10250 x 0.015 x 1.04^(-3) = 137. So the answer is correct. I can only assume you have used the wrong formulae for your assurance factors. Check that you haven't used endowment assurances (ie including survival benefits).
    Robert
     

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