Actuarial MathematicsActuarial Mathematics\Period certain annuity

Period certain annuity

A period certain annuity is a series of periodic payments for a given term, independent of any life contingency.

General formula

The present value of an 𝑛–year period certain annuity of 1 per year, payable at the beginning of the year is calculated by the general formula:

Note:

This is the same as Excel’s PV function with the following parameters:

 

If payments are made 𝑚 times per year, the formula becomes:

Note:

This is the same as Excel’s PV function with the following parameters:
, where

 

Excel functions

Click here to see the various Excel functions to handle period certain annuities.