Continuous Annuity Calculator

Publish date: 2024-06-27

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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 valueThe total value of an investment, including principal and interest accruedannuityA stream of paymentscontinuous annuitya type of guaranteed annuity where the annuity issuer is required to make payments for at least a specified number of yearscontinuous interest the process of calculating interest and reinvesting it into an account balance over an infinite number of periods.
P(t) = P0ertinterest ratethe proportion of a loan that is charged as interest to the borrower or proportion of principal credit given to a depositorpresent valuethe 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