Formula of annuity, Financial Accounting

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In common terms the future value of an annuity or regular annuity is specified by the subsequent formula:

FVAn = A (1 + k )n -1 + A (1 + k )n - 2 + ... + A   ................................Eq(6)

1133_Formula of annuity.png

A [((1 + k)n - 1)/k]

Future value of an annuity due:

FVAn(due) = A (1 + k )n + A (1 + k )n - 1 + ... + A(1 + k)   ................................Eq(6)

2093_Formula of annuity1.png....................................Eq(7)

= A [((1 + k)n - 1)/k] (1 + k)

Here FVAn = Future value of an annuity that has a duration of n periods

A   = Constant periodic cash flow;

 k = Interest rate per period;

n = duration of the annuity.

The term [((1 + k)n - 1)/k] is considered to as the future value interest factor for an annuity (FVIFAk,n). The value of its factor for some combinations of k and n are specified in the appendix at the end of this section.


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