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# 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 'NPVA'.

## Calculate Number of Periods of Annuity From Present Value

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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 'NPVA'.

#### Formula:

NPVA = ln (1-((PV x r) / P))-1 / ln(1 + r) Where, NPVA = 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:

NPVA = 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 NPVA 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.