question 3.9

Discussion in 'SP2' started by dimitris13, Dec 31, 2018.

  1. dimitris13

    dimitris13 Member

    the question regarding the reserve how it is derived ?

    thanks
     
  2. Lynn Birchall

    Lynn Birchall ActEd Tutor Staff Member

    It's being calculated as (annuity amount) x (annuity factor on reserving basis).

    Annuity amount = (premium - initial commission/expenses) / (annuity factor on pricing basis).

    PS Just in case anyone's trying to find this question in the 2019 materials, it's on Chapter 3 page 9.
     
  3. dimitris13

    dimitris13 Member

    and we equate them bc ?

    thanks and happy new year.
     
  4. Lynn Birchall

    Lynn Birchall ActEd Tutor Staff Member

    Happy New Year :)

    It's an equation of value : PV (premium) = PV ( benefits) + PV (expenses)

    In this case : 100 = Annuity amount X (annuity factor on pricing basis) + 5

    Of course, in reality, this would happen at policy outset, and the annuity amount would be known (and a data item on the admin system) when actually reserving. The point of the example though is to illustrate that the difference between pricing and reserving bases can give rise to a capital requirement for annuities.

    Hope this helps
    Lynn
     

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