# PVIFA Calculator

If you want to determine an annuity's present value interest factor, you can use this PVIFA calculator.

What is PVIFA?

PVIFA is also known as the present value interest factor of an annuity. It's a factor used to estimate the current value of the annuity payment series.

**In other words,**

**PVIFA** is used to calculate the current value of money in the future: It estimates the worth of the equivalent amount of money you have at present with the amount of money you will have in the future.

Typically, it is used while making decisions on investments. For instance, if you're confused between choosing an extensive amount of money or an annuity, you can use **PVIFA**.

If you have a choice between a massive sum of money or an annuity, and you're not sure which one to pick

## PVIFA Calculator Formula

To determine the present value interest factor of an annuity, you can use our PVIFA calculator or a formula listed below:

PVIFA = (1 - (1 + r)^{-n}) / r

Where,

r= per period interest rate

n= the number of periods

### Example

For a more precise understanding of concepts, let us have an example below:

Suppose an entrepreneur has invested a considerable amount of money in a business of 3d printers. In a year, he gets each **$3000** payment from the cash he invested. The total number of payments he received in a year is eight. Whereas the interest rate is `4%`

, now find out the present value of this annuity?

**Given data**

n = 8

r = 4% = 0.04

**To find**

The present value of this annuity = ?

**Solution**

From the values of the above-given data, let us find the PVIFA using the formula listed below:

PVIFA = (1 - (1 + r)^{-n}) / r

Putting values in the above formula:

PVIFA=(1 − (1 + 0.04)^{-8}) / 0.04 = 6.73

In present value, every single dollar ($1) you earn, worth 6.73 times more which means:

$1*6.73= $6.73

Now, how much the total value of eight payments worth? As we have the value of each dollar, simply multiply it with the total amount of value:

6.73 * $3,000 = $20,198

$20,198 is the present value of this annuity.

### PVIFA table

For most general interest rates and amount of periods, you can use the **present value table** listed below:

Interest rate → / Periods ↓ | 1% | 2% | 3% | 4% | 5% |
---|---|---|---|---|---|

1 | 0.9901 | 0.9804 | 0.9709 | 0.9615 | 0.9524 |

2 | 1.9704 | 1.9416 | 1.9135 | 1.8861 | 1.8594 |

3 | 2.9410 | 2.8839 | 2.8286 | 2.7751 | 2.7232 |

4 | 3.9020 | 3.8077 | 3.7171 | 3.6299 | 3.5460 |

5 | 4.8534 | 4.7135 | 4.5797 | 4.4518 | 4.3295 |

For the values having the above interest rate and time periods, you can use our **PVIFA calculator**.

### Calculator use

To calculate an annuity's present value interest factor, enter the required values in our PVIFA calculator, and it will display the answer on the screen.