Q&A Bank Part 1

Discussion in 'CT1' started by Aisha, Apr 27, 2016.

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  1. Aisha

    Aisha Member

    question 1.10
    Based on my understanding of the question, I could proceed with the following steps:

    PV= 100 + 100*(1.05v)+ 100*(1.05v)^2+.........+ 100*(1.05v)^9
    = 100(1+(1.05v)+(1.05v)^2+......+(1.05v)^9)
    =100 a_doubledot_dash_10
    Finding out the value of aa_doubledot_dash_10 using i' = 4.762% pa, we get a_doubledot_dash_10 = 8.1836

    But the solution given is 100*a_bar_1(@10%)*a_doubledot_dash_10(@4.762%)

    Why do we consider two annuities?
     
  2. Muppet

    Muppet Member

    Because the payments are made continuously in each year. Your formula implicitly implies that payments are made at the start of each year.
     

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