# Present Value Annuity Calculator

## What does it do?

This present value annuity calculator works out the present value (PV) of a regular sum of money (Pmt) received at the end of each of n periods, using a discount rate i.

## Formula

The time value of money annuity calculator uses the present value of an annuity formula as shown below:

`PV = Pmt x (1 - 1 / (1 + i)n) / i`

## Instructions

The Excel present value annuity calculator, available for download below, is used to compute the present value by entering details relating to the regular payment, discount rate and the number of periods. The calculator is used as follows: ### Step 1

Enter the regular payment amount (Pmt). The regular payment is the amount received at the end of each period for n periods. The amount must be the same for each period.

### Step 2

Enter the discount rate (i). The discount rate is the rate used to discount each payment amount back from the end of the period in which is was made, to the beginning of period 1 (today). The rate should be for a period, so for example, if the period is a year, then the rate should be the yearly rate.

### Step 3

Enter the number of periods (n). The number of periods is entered. A period can be any term (month, year etc), but must be consistent with the discount rate provided (see step 2).

### Step 4

The present value of an annuity calculator works out the present value (PV). The answer is the value today (beginning of period 1) of an a regular sum of money received at the end of each of n periods, at a discount rate of i. It is the present value of an annuity.

## Present Value Annuity Calculator Download

The present value annuity calculator spreadsheet is available for download in Excel format by following the link below.

The present value of an annuity calculator is one type of tvm calculator used in time value of money calculations, discover another at the links below.

Notes and major health warnings
Users use this free present value of an annuity calculator at their own risk. We make no warranty or representation as to its accuracy and we are covered by the terms of our legal disclaimer, which you are deemed to have read. This is an example of a PV annuity calculator that you might use when considering how to calculate the present value of an annuity. It is purely illustrative of a present value of an annuity calculator. This is not intended to reflect general standards or targets for any particular business, company or sector. If you do spot a mistake in this annuity present value calculator, please let us know and we will try to fix it.
Last modified July 16th, 2019

## About the Author

Chartered accountant Michael Brown is the founder and CEO of Double Entry Bookkeeping. He has worked as an accountant and consultant for more than 25 years and has built financial models for all types of industries. He has been the CFO or controller of both small and medium sized companies and has run small businesses of his own. He has been a manager and an auditor with Deloitte, a big 4 accountancy firm, and holds a degree from Loughborough University.