April 2019 Q2 (iii)

Discussion in 'SA2' started by AaronD, Aug 26, 2021.

  1. AaronD

    AaronD Active Member

    Hi,

    I'm looking at the ASET for April 2019 Q2 (iii). I'm trying to understand how the movements for Death claims and Maturities are calculated.

    For Death Claims, the movement = -125 = -200/1.6 (I can see that Death claims are 60% higher and the excess is charged to the estate but I can't understand why we divide by 1.6?

    For Maturities, the movement = -10,582 = -10,000/(0.9 * 1.05) (I can see that Maturities = 10,000 and Maturities are based on smoothed AS (which is approx 90% of AS) and inncreased by 5% to allow for distribution to estate.

    This is a silly q, but I'm unsure why we are dividing the 1.6 and (0.9*1.05) factors.

    Many thanks,
    Aaron
     
  2. Mark Willder

    Mark Willder ActEd Tutor Staff Member

    Hi Aaron

    The question says that:

    "Death claims were on average 60% higher than asset shares, and the excess was charged to the estate."

    So we need to split the death claims of 200 between charges to the asset share and charges to the estate. We only deduct 125 from the asset share for death claims as the excess 75 (=125x0.6) is charged to the estate.

    The question says that:

    "Smoothed asset shares were approximately 90% of asset shares.

    Maturity claims were based on smoothed asset shares, increased by 5% to allow for some distribution of the estate."

    We know that maturity payouts were 10,000, so if payouts were exactly equal to asset share, then the asset share would have gone down by 10,000 as well. But from the information above we see that payouts were equal to 0.9 x 1.05 x asset shares (as payouts were reduced by the smoothing and increased by the estate distribution.) Putting this together we have

    Payout = 10,000 = Asset Share x 0.9 x 1.05
    Rearranging gives

    Asset share = 10,000 / 0.9 / 1.05 = 10,582

    So the asset shares of the maturing policies were 10,582.

    Best wishes

    Mark
     
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