ST3 April 2006 Q5 and Sept 2007 Q6

Discussion in 'SP7' started by Actu09, Jan 1, 2016.

  1. Actu09

    Actu09 Keen member

    Hello everyone and happy 2016!
    Regarding the calculations, how were the figures for the outstanding claims reserve(c/f) and the investment return generated?
    Kind Regards,
     
  2. Actu09

    Actu09 Keen member

    In addition to that, i would appreciate it if someone explained to me how the relevant ratios (Incremental % paid for 2004 acc yr.reserve as stated in the examiners'report for September 2007 Q6) were calculated.

    Thank you in advance
     
  3. Katherine Young

    Katherine Young ActEd Tutor Staff Member

    The outstanding claims c/f = the amount at the end of the year. This is the same as the amount at the start of the following year (ie the b/f amount for the following year.) So the 2002 outstanding c/f = 2003 b/f. There are no calculations, you're given this information in the question.

    We're told to ignore investment return on free reserves, so we take 5% of the average technical reserves at the start and end of the year, where technical reserves = outstanding claims + UPR. For example, for 2002, technical reserve b/f = 100+200=300 and c/f=250+465= 715. So investment return =5%*(300+715)/2=25.4.

    I've knocked up an explanation in a spreadsheet. See the attached doc.
     

    Attached Files:

    Hemant Rupani likes this.
  4. Terran85

    Terran85 Active Member

    How did they calculate the DAC and Techical Res start and end of year for Q5?

    Thanks
     
  5. Darren Michaels

    Darren Michaels ActEd Tutor Staff Member

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  6. Terran85

    Terran85 Active Member

    Thank you very much, for completeness anyone looking for Tech Res number

    - For 2002: 100 (O/S Claim b/f) + 200 (UPR b/f) - 16 (DAC b/f) = 284.

    Thanks agaiun
     
  7. sma09gc

    sma09gc Member

    Hi, sorry if I'm being really silly but in September 2006 Q6 part I've I can't see where the 86.8% is coming from? I understand all other parts of the solution. I have also looked at your solution Katherine but can't see details of the calculation as it is PDF. Can someone help? Thanks
     
  8. Darren Michaels

    Darren Michaels ActEd Tutor Staff Member

    The 0.868 is the sum of the rest of the row, ie 0.396+0.217+0.111+0.084+0.061

    You are taking a weighted average of the relevant discount factor, eg 1.09^-0.5 by the weights shown in the row labelled "as a percentage of outstanding development, this is".

    So the complete formula is (0.413*(1.09^-0.5)+0.246*(1.09^-1.5)+0.137*(1.09^-2.5)+0.114*(1.09^-3.5)+0.089*(1.09^-4.5))/(0.413+0.246+0.137+0.114+0.089)=0.868
     

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