 # Arithmetic Annuity Calculator

 First Payment Progression Payment N Interest Rate Increasing Decreasing
or

### How does the Arithmetic Annuity Calculator work?

Calculates the Present Value, Accumulated Value (Future Value), First Payment, or Arithmetic Progression of an Increasing or Decreasing Arithmetic Annuity Immediate.
This calculator has 4 inputs.

### What 4 formulas are used for the Arithmetic Annuity Calculator?

1. Present Value Formula for Arithmetic Annuity Immediate = Pmt * (1 - vn)/i
2. Accumulated Value Formula for Arithmetic Annuity Immediate = Pmt * ((1 + i)n - 1)/i
3. Present Value Formula for Arithmetic Annuity Due = Pmt * (1 - vn)/d
4. Accumulated Value Formula for Arithmetic Annuity Immediate = Pmt * ((1 + i)n - 1)/d

For more math formulas, check out our Formula Dossier

### What 6 concepts are covered in the Arithmetic Annuity Calculator?

accumulated value
The total value of an investment, including principal and interest accrued
annuity
A stream of payments
arithmetic annuity
A finite stream of payments with a first payment P, and each successive payment increasing by r
future value
the value of a current asset at a future date based on an assumed rate of growth
interest
payment from a borrower or deposit-taking financial institution to a lender or depositor of an amount above repayment of the principal sum, at a particular rate
present value
the value in the present of a sum of money, in contrast to some future value it will have when it has been invested at compound interest.
PV = FV/(1 + i)n
where I is the interest rate per period, PV = Present Value, and FV = Future Value