Chapter 5: Annuities

An annuity is a series of payments, with one payment per period for a given number of periods.

The variables in an annuity are:

  • N: the number of periods, in the term (equal to the number of payments)
  • I/Y: the nominal interest rate
  • PMT: the periodic payment
  • PV: the present value of the annuity
  • FV: the future value of the annuity

Annuities can be used for:

  • amortizing a loan, where the loan value is the present value of the annuity. The variables are N, I/Y, PMT and PV.
  • accumulating an amount, where the amount is the future value of the annuity. The variables are N, I/Y, PMT and FV.

Annuities can be solved in many ways:

  • by formula
  • by calculating interest period by period
  • by focal date methods
  • by calculator program, which is what we will concentrate on.

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