September 2000 Q9

Discussion in 'ST3' started by Fuzz001, Mar 30, 2008.

  1. Fuzz001

    Fuzz001 Member

    Hi. Can someone please explain to me the UPR calc ? I'm lost
     
  2. Ian Senator

    Ian Senator ActEd Tutor Staff Member

    If p/h dies in month n, benefit is 7000-100n. So premium earned in month n is proportional to 70-n.

    The sum of these weights over the term of the policy from n = 0 to n = 59 is
    60*70-(60*59)/2=2430 (using the sum of an arithmetic progression).

    After m months the proportion of risk remaining is sum(from m to 59) of (70-n)/2430.

    So UPR is that times 20 euro. The examiners's report goes on to expand this and comment on an 'exact' calculation, but hopefully this wouldn't be necessary to score full marks.
     

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