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 4 Variables
Variables Used
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.
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: 0.5 --> No Conversion Required
Present Value: 10 --> No Conversion Required
Number of Periods: 2 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
PMT = (r*PV)/(1-(1+r)^-n) --> (0.5*10)/(1-(1+0.5)^-2)
Evaluating ... ...
PMT = 9
STEP 3: Convert Result to Output's Unit
9 --> No Conversion Required
FINAL ANSWER
9 <-- Annuity Payment
(Calculation completed in 00.004 seconds)
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Go Portfolio Standard Deviation = sqrt((Asset Weight)^2*Variance of Returns on Assets 1^2+(Asset Weight)^2*Variance of Returns on Assets 2^2+2*(Asset Weight*Asset Weight*Variance of Returns on Assets 1*Variance of Returns on Assets 2*Portfolio Correlation Coefficient))
Portfolio Variance
Go Portfolio Variance = (Asset Weight)^2*Variance of Returns on Assets 1^2+(Asset Weight)^2*Variance of Returns on Assets 2^2+2*(Asset Weight*Asset Weight*Variance of Returns on Assets 1*Variance of Returns on Assets 2*Portfolio Correlation Coefficient)
Jensen's Alpha
Go Jensen's Alpha = Annual Return on Investment-(Risk Free Interest Rate+Beta of the Portfolio*(Annual return of the market benchmark-Risk Free Interest Rate))
Compound Interest
Go Future Value of Investment = Principal Investment Amount*(1+(Annual Interest Rate/Number of Periods))^(Number of Periods*Number of Years Money is Invested)
Certificate of Deposit
Go Certificate of Deposit = Initial Deposit Amount*(1+(Annual Nominal Interest Rate/Compounding Periods))^(Compounding Periods*Number of Years)
Actuarial Method Unearned Interest Loan
Go Actuarial Method Unearned Interest Loan = (Number of Remaining Monthly Payments*Monthly Payment*Annual Percentage Rate)/(100+Annual Percentage Rate)
Equivalent Annual Annuity
Go Equivalent Annuity Cashflow = (Rate per Period*(Net Present Value (NPV)))/(1-(1+Rate per Period)^-Number of Periods)
Portfolio Expected Return
Go Portfolio Expected Return = Asset Weight*(Expected Return on Asset 1)+Asset Weight*(Expected Return on Asset 2)
Total Stock Return
Go Total Stock Return = ((Ending Stock Price-Initial Stock Price)+Dividend)/Initial Stock Price
Annuity Payment
Go Annuity Payment = (Rate per Period*Present Value)/(1-(1+Rate per Period)^-Number of Periods)
Value at Risk
Go Value at Risk = -Mean of Profit and Loss+Standard Deviation of Profit and Loss*Standard Normal Variate
Profitability Index
Go Profitability Index (PI) = (Net Present Value (NPV)+Initial Investment)/Initial Investment
Sharpe Ratio
Go Sharpe Ratio = (Expected Portfolio Return-Risk Free Rate)/Portfolio Standard Deviation
Capital Gains Yield
Go Capital Gains Yield = (Current Stock Price-Initial Stock Price)/Initial Stock Price
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Go Straight Line Depreciation = (Asset's Cost-Salvage)/Life
Portfolio Turnover Rate
Go Porfolio Turnover Rate = (Total Sales and Purchases of Shares/Average Net Assets)*100
Real Rate of Return
Go Real Rate of Return = ((1+Nominal Rate)/(1+Inflation Rate))-1
Risk Premium
Go Risk Premium = Return on Investment (ROI)-Risk Free Return

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 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) & Number of Periods (n) and hit the calculate button. Here is how the Annuity Payment calculation can be explained with given input values -> 9 = (0.5*10)/(1-(1+0.5)^-2).

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 & 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) & Number of Periods (n). With our tool, you need to enter the respective value for Rate per Period, Present Value & 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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