# Number of Periods of Annuity Calculator

An annuity is a series of equal payments at regular intervals. The number of periods of annuity is the total number of periodic value one has to make or save based on the future value with the known payment and rate of interest (%). The future value of an annuity is the value of a group of recurring payments at a specified date in the future. Use this simple online Number of Periods of Annuity Calculator from future value (FV) to calculate 'n_{FPV}'.

## Calculate Number of Periods of Annuity From Future Value

An annuity is a series of equal payments at regular intervals. The number of periods of annuity is the total number of periodic value one has to make or save based on the future value with the known payment and rate of interest (%). The future value of an annuity is the value of a group of recurring payments at a specified date in the future. Use this simple online Number of Periods of Annuity Calculator from future value (FV) to calculate 'n_{FPV}'.

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#### Formula:

n_{FVA} = ln (1 + ((FV x r) / P)) / ln (1 + r)
**Where,**
n_{FVA} = Number of Periods of Annuity
FV = Future Value of Annuity
r = Rate
P = Payment / Cash Flows

#### Example

**A person invests an annuity amount whose future value would be $ 20000 at the rate of interest of 8% and cash flows as $ 2000.**
Number of Periods of Annuity from Future Value = ln (1 + ((20000 x 8) / 2000)) / ln (1 + 8)

= ln (1 + ((20000 x 8) / 2000))=7.6375

= 7.6375