Flashcards Chapter 6

Discussion in 'CT5' started by OmoT, Sep 21, 2017.

  1. OmoT

    OmoT Member

    Hi
    I don't understand why there is an additional term of 1/(1.04) , in this question with an annuity in arrears.
    Shouldn't the solution just be ax @ 0%
    Please could someone explain.
    See first image and then the question

    upload_2017-9-21_11-26-43.png
    upload_2017-9-21_11-24-22.png
     
  2. John Potter

    John Potter ActEd Tutor Staff Member

    The first payment is 5,000 in one year's time. PV = 5,000/1.04
    The second payment is 5,000*1.04 in 2 years' time. PV = 5,000/1.04
    The 3rd payment is 5,000*1.04^2 in 3 years' time. PV = 5,000/1.04
    Every payment has a PV = 5,000/1.04.
    We get each payment if we survive a whole year. So EPV = 5,000e65/1.04

    Good luck!
    John
     

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