Continuous Annuity Calculator

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

How does the Continuous Annuity Calculator work?

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?

  1. σ = Ln(1 + i)
  2. v = 1/(1 + i)
  3. 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
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

Continuous Annuity Calculator Video