% <-- Int. Rate
<-- n
<-- Payment

##### How does the Continuous Annuity Calculator work?
Free Continuous Annuity Calculator - Determines the Present Value and Accumulated Value of a Continuous Annuity
This calculator has 3 inputs.

### What 3 formulas are used for the Continuous Annuity Calculator?

σ = Ln(1 + i)
v = 1/(1 + i)
PV = Pmt(1 - vn)/σ

For more math formulas, check out our Formula Dossier
##### What 6 concepts are covered in the Continuous Annuity Calculator?
accumulated value
The total value of an investment, including principal and interest accrued
annuity
A stream of payments
continuous annuity
a type of guaranteed annuity where the annuity issuer is required to make payments for at least a specified number of years
continuous interest
the process of calculating interest and reinvesting it into an account balance over an infinite number of periods.
P(t) = P0ert
interest rate
the proportion of a loan that is charged as interest to the borrower or proportion of principal credit given to a depositor
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