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Continuous Compound Interest Calculator

Find the amount from continuously compounded interest, A = P e^(rt).

Inputs

Results

Final amount1,648.721$
Interest earned648.7213$

Chart

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Describe what you want to find — “continuous compounding” — and jump to the right calculator.

How to use the continuous compound interest calculator

Find the amount from continuously compounded interest, A = P e^(rt). Enter principal, annual interest rate, time in the fields above; the final amount, interest earned are computed instantly and plotted on the chart so you can see how the answer changes.

Common searches this calculator answers include “continuous compounding”, “e to the rt”, “interest compounded continuously”, “calculate continuous compound interest”, “find final amount”.

Formula

Final amount ($) = P × exp(r / 100 × t)
Interest earned ($) = [Final amount]-P

Variables

  • P — Principal ($)
  • r — Annual interest rate (%)
  • t — Time (years)

Worked example

With principal = 1000 $, annual interest rate = 5 %, time = 10 years, the calculator gives final amount ≈ 1,648.721 $; interest earned ≈ 648.7213 $.

Frequently asked questions

What is the continuous compound interest calculator used for?

Find the amount from continuously compounded interest, A = P e^(rt). It helps with questions such as “continuous compounding”, “e to the rt”, “interest compounded continuously”.

What is the formula for the continuous compound interest calculation?

Final amount ($) = P × exp(r / 100 × t). Interest earned ($) = [Final amount]-P. Here P is principal ($), r is annual interest rate (%), t is time (years).

What inputs do I need for the continuous compound interest calculator?

You need principal in $, annual interest rate in %, time in years. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.

How do I use the continuous compound interest calculator?

Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.

Is the continuous compound interest result exact?

Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.

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