Present Value of Annuity Calculator

Enter the values in the Present Value of Annuity calculator:

Payment per period (PMT): Interest rate in % (r): Number of periods (n):

How to use the Present Value of Annuity Calculator

Let’s review a simple example where the goal is to derive the Present Value of Annuity given the following information:

  • Payment per period (PMT) = 8000
  • Interest rate (r) = 6%
  • Number of periods (n) = 12

Enter the values in the calculator:

Present Value of Annuity Calculator

Finally, click on the “Calculate Present Value of Annuity” button, and you’ll get the result of 67070.7515:

Present Value of Annuity Calculator

How to Manually Calculate the Present Value of Annuity

You may use the formula below in order to derive the Present Value of Annuity:

                                                 PMT * [1 - 1/(1 + r)n]
Present Value of Annuity =
      r

Where:

  • PMT = Payment per period
  • r = Interest rate
  • n = Number of periods

For example, suppose that you’d like to calculate the Present Value of Annuity given the information below:

  • Payment per period (PMT) = 8000
  • Interest rate (r) = 6%
  • Number of periods (n) = 12

Once you plug those values in the formula, you’ll get the result of 67070.75:

                                               PMT * [1 - 1/(1 + r)n]     8000 * [1 - 1/(1+0.06)12]
Present Value of Annuity =
      r
= 0.06 = 67070.75

To calculate the Future Value of Annuity, you may check the Future Value of Annuity calculator.