Interest Rates CT1

Discussion in 'CT1' started by aaisha, Apr 13, 2017.

  1. aaisha

    aaisha Member

    I had a doubt in chapter 3 section 3.1 where they use geometric progression to prove accumlated value of p interest payments is equal to i....can someone give an example and explain the same
     
  2. Mark Mitchell

    Mark Mitchell Member

    The sum of the first n terms of a geometric progression with first term a and common ratio r is:

    a(1-r^n)/(1-r)

    Here there are p terms in the sum, so n = p, the first term a = (i(p)/p)*(1+i)^((p-1)/p), and the common ratio is (1+i)^(-1/p).
     

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