# 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 a present value with known payment and rate of interest. The present value of an annuity is the current value of a set of cash flows in the future, given a specified rate of return. Use this simple online Number of Periods of Annuity Calculator from Present Value (PV), rate and cash flows to calculate 'N_{PVA}'.

## Calculate Number of Periods of Annuity From Present 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 a present value with known payment and rate of interest. The present value of an annuity is the current value of a set of cash flows in the future, given a specified rate of return. Use this simple online Number of Periods of Annuity Calculator from Present Value (PV), rate and cash flows to calculate 'N_{PVA}'.

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#### Formula:

N_{PVA} = ln (1-((PV x r) / P))^{-1} / ln(1 + r)
**Where,**
N_{PVA} = Number of Periods of Annuity
PV = Present Value of Annuity
r = Rate
P = Payment / Cash Flows
### Example:

A person invests an annuity amount whose present value is $ 30000 at the rate of 7% and cash flows of $ 3000.

#### Solution:

N_{PVA} = ln (1-((PV x r) / P))^{-1} / ln(1 + r)

= ln (1 - ((30000 x 7) / 3000))^{-1} / ln(1 + 7)

= 17.7948

In order to find N_{PVA} the interest rate and number of periods must be adjusted to reflect the number of compounding periods per year. Calculate the total number of periodic value for different currencies.