CT8 S2014 Question 4'

Discussion in 'CM2' started by Jia Syuen, Sep 17, 2019.

  1. Jia Syuen

    Jia Syuen Very Active Member

    In the examiners' report, the given solution shows that q=(1.04^2-0.8)/(1.3-0.8).
    I thought the formula was q=(e^rt-d)/(u-d)? Why it's different?
     
  2. Anna Bishop

    Anna Bishop ActEd Tutor Staff Member

    Hi Jia

    It's because the exam question involves an effective interest rate, i, rather than a force of interest (= continuously compounded rate), r.

    Going back to CT1/CM1 days, the force of interest is defined as:

    r = ln(1 + i)

    So that:

    exp(r) = (1 + i)
    exp(rt) = (1 + i)^t

    Hence why we have exp(2r) = 1.04^2 in this question.

    Anna
     
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