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Annuity Payment Solution

STEP 0: Pre-Calculation Summary
Formula Used
annuity_payment = (Rate per Period*Present Value)/(1-(1+Rate per Period)^-Number of Periods)
PMT = (r*PV)/(1-(1+r)^-n)
This formula uses 3 Variables
Variables Used
Rate per Period- The rate per Period is the interest rate charged.
Present Value- The present value of the annuity is the value that determines the value of a series of future periodic payments at a given time.
Number of Periods- The number of periods is the periods on an annuity using the present value, periodic payment, and periodic rate.
STEP 1: Convert Input(s) to Base Unit
Rate per Period: 5 --> No Conversion Required
Present Value: 10 --> No Conversion Required
Number of Periods: 1 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
PMT = (r*PV)/(1-(1+r)^-n) --> (5*10)/(1-(1+5)^-1)
Evaluating ... ...
PMT = 60
STEP 3: Convert Result to Output's Unit
60 --> No Conversion Required
FINAL ANSWER
60 <-- Annuity Payment
(Calculation completed in 00.016 seconds)
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9 Other formulas that you can solve using the same Inputs

Compound Interest
future_value_of_investment = Principal Investment Amount*(1+(Annual Interest Rate/Number of Periods))^(Number of Periods*Number of Years the Money is Invested) Go
Net Present Value (NPV) for even cash flow
net_present_value = Expected Cash Flow*((1-(1+Rate of Return)^-Number of Periods)/Rate of Return)-Initial Investment Go
Future Value of a Present Sum when Compounding Periods are given
future_value = Present Value*(1+(Rate of Return/Compounding Periods))^(Compounding Periods*Number of Periods) Go
Present Value of a Future Sum when compounding periods are given
present_value = Future Value/(1+(Rate of Return/Compounding Periods))^(Compounding Periods*Number of Periods) Go
Future Value of Annuity
future_value_of_annuity = (Monthly Payment/Interest Rate)*((1+Interest Rate)^Number of Periods-1) Go
Future Value of a Present Sum when the number of periods is given
future_value = Present Value*exp(Rate of Return*Number of Periods) Go
Present Value of a Future Sum when number of periods is given
present_value = Future Value/exp(Rate of Return*Number of Periods) Go
Zero Coupon Bond Effective Yield
zero_coupon_bond_effective_yield = (Face Value/Present Value)^(1/Number of Periods)-1 Go
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future_value = Present Value*(1+Interest Rate)^Total Number of Periods Go

Annuity Payment Formula

annuity_payment = (Rate per Period*Present Value)/(1-(1+Rate per Period)^-Number of Periods)
PMT = (r*PV)/(1-(1+r)^-n)

How to Calculate Annuity Payment?

Annuity Payment calculator uses annuity_payment = (Rate per Period*Present Value)/(1-(1+Rate per Period)^-Number of Periods) to calculate the Annuity Payment, Annuity Payment is a series of payments at fixed intervals, guaranteed for a fixed number of years or the lifetime of one or more individuals. Annuity Payment and is denoted by PMT symbol.

How to calculate Annuity Payment using this online calculator? To use this online calculator for Annuity Payment, enter Rate per Period (r), Present Value (PV) and Number of Periods (n) and hit the calculate button. Here is how the Annuity Payment calculation can be explained with given input values -> 60 = (5*10)/(1-(1+5)^-1).

FAQ

What is Annuity Payment?
Annuity Payment is a series of payments at fixed intervals, guaranteed for a fixed number of years or the lifetime of one or more individuals and is represented as PMT = (r*PV)/(1-(1+r)^-n) or annuity_payment = (Rate per Period*Present Value)/(1-(1+Rate per Period)^-Number of Periods). The rate per Period is the interest rate charged, The present value of the annuity is the value that determines the value of a series of future periodic payments at a given time and The number of periods is the periods on an annuity using the present value, periodic payment, and periodic rate.
How to calculate Annuity Payment?
Annuity Payment is a series of payments at fixed intervals, guaranteed for a fixed number of years or the lifetime of one or more individuals is calculated using annuity_payment = (Rate per Period*Present Value)/(1-(1+Rate per Period)^-Number of Periods). To calculate Annuity Payment, you need Rate per Period (r), Present Value (PV) and Number of Periods (n). With our tool, you need to enter the respective value for Rate per Period, Present Value and Number of Periods and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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