CT1 IFoA April 2010 Q1 (ii)

Discussion in 'CT1' started by 9346776, Apr 6, 2016.

  1. 9346776

    9346776 Member

    Why is it the dividend of £2.80 was forwarded to the 3rd month before first discounting it to t=0 so that we can subtract with 60 first before accumulating. I first discounted it and my answer is 58.53008239 and the exam answer is 58.09 without discounting first
     
  2. Mark Mitchell

    Mark Mitchell Member

    The formula to use here is the standard formula (S0 - I)*e^(delta*T).

    Here:
    S0 = 60
    I = present value of the income = 2.8*e^(-0.06*2/12)
    e^(delta*T) = e^(0.06*3/12)

    This gives:

    (60 - 2.8*e^(-0.06*2/12))*e^(0.06*3/12) = 60*e^(0.06*3/12) - 2.8*e^(0.06*1/12))

    as the accumulation and discounting partially cancel out.
     
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