Analysis of Surplus

Discussion in 'SA2' started by joe90, Aug 22, 2012.

  1. joe90

    joe90 Member

    Q&A Bank
    Q4.1 (iii)

    I cant seem to work out this answer?

    I approach these questions by setting A0 = L0. Then I calculate A1 and L1 as if everything works out as expected. A1 should equal L1 on this basis. Then I change one item at a time to get its contribution to surplus.(I leave New Business as an item to add in as an item of surplus)

    However, I cant even get A1 = L1 here.

    A1 = 7,357,798 X 1.04 - 5000 X 100 X (1 - 0.002451) - 20 X 1.027 X (1 - 0.002451)X100 = 7,151,287

    L1 = 5000 X 14.254 X (1-0.002451)X100 + 100X(1-0.002451)X20.159X20X1.027
    = 7,150.836

    Could somebody help me here?

    If you dont have access to this question I cant type it up?

    Cheers!
     
  2. Mark Willder

    Mark Willder ActEd Tutor Staff Member

    You've made a small slip in L1. You've used 1.027 instead of 1.0297. So L1 should be 7,150,945

    Similarly if you use 1.0297 in A1 you get 7,151,281.

    The two answers don't quite tie up, but you're within the rounding error we see in the solution. The difference is caused by rounding as we only have the annuity factor to 3 decimal places.

    Best wishes

    Mark
     

Share This Page