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Continuous compounding calculator

Compounding at every instant instead of yearly: FV = P·eʳᵗ. It gives the future value, the interest earned and the effective annual yield — the ceiling that ordinary compounding approaches as it compounds more often.

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The Continuous compounding calculator turns Principal, Annual rate (%), Time (years) into Future value, Interest earned, Effective annual yield, instantly and for free. For instance, with Principal = $10,000.00, Annual rate (%) = 5 and Time (years) = 10 it returns Future value = $16,487.21, Interest earned = $6,487.21 and Effective annual yield = 5.13%.

How to use it

  1. Enter your values: Principal, Annual rate (%), Time (years).
  2. Read the result instantly: Future value, Interest earned, Effective annual yield.

Frequently asked questions

How does the Continuous compounding calculator work?

It takes Principal, Annual rate (%) and Time (years) and derives Future value, Interest earned and Effective annual yield from them. The calculation is live as you type, so the result updates on every change.

Which values does the calculator ask for?

3 values: Principal ($), Annual rate (%) and Time (years). Nothing else is required — no account, no file upload.

What does a typical calculation look like?

With Principal = $10,000.00, Annual rate (%) = 5 and Time (years) = 10, the calculator returns Future value = $16,487.21, Interest earned = $6,487.21 and Effective annual yield = 5.13%. Those figures come from running this exact tool, so you can reproduce them by entering the same values.

How much does the result change with different inputs?

It moves a lot. Using Principal = $20,000.00, Annual rate (%) = 5.5 and Time (years) = 20 instead, Future value goes from $16,487.21 to $60,083.32 — which is why it is worth testing a few scenarios rather than trusting a single figure.

What does it give for smaller values?

Scaled down to Principal = $5,000.00, Annual rate (%) = 4.5 and Time (years) = 5, Future value comes out at $6,261.61. The relationship is worth checking at both ends before you rely on a single result.

When would I actually use this?

Planning a deposit, a safety net or a large purchase: how much to put aside each month, and how long a target takes at a given rate.

What is the most common mistake?

Reading a nominal rate as if it were real. Inflation is subtracted from the return, not from the capital, so a 3% account during 4% inflation loses purchasing power every year.

How accurate is it, and what are the limits?

Estimate only — not financial advice.

What is the difference between the Continuous compounding calculator and the Compound interest calculator?

This one returns Future value and Effective annual yield; the Compound interest calculator returns Final balance and Total invested. That is the whole difference — open the one whose figure you need.

Is there a tool for the next step?

Inflation calculator is the closest one after this: See how inflation changes the value of money over a number of years.

Further reading

All guides →
ExplainerCompounding Frequency, and Where Continuous Compounding Comes From(1 + r/n)^n rises with n but converges on e^r. At 6 percent, monthly and continuous compounding differ by $1.59 on $10,000 over a year. At 24 percent the same gap is $30.07, and over thirty years it is 7.4 percent of the balance.ExplainerActual Cash Value: The Subtraction You Agreed To Before the LossA twelve-year-old roof that costs $20,000 to replace is worth $10,400 on a straight-line schedule. After a $2,000 deductible, an actual cash value policy pays $8,400 and a replacement cost policy pays $18,000 — same roof, same loss, $9,600 apart.How-toHow Much Life Insurance Do You Need? The DIME MethodSkip the vague rules of thumb. The DIME method — Debt, Income, Mortgage, Education — gives you a defensible number for how much life cover your family actually needs.How-toHow Long to Reach a Savings Goal: A Step-by-Step MethodWork out exactly how many months a savings goal will take from your monthly deposit, starting balance and interest rate — with worked examples.ComparisonAPR vs APY: What's the Difference?APR and APY both describe a yearly rate, but only APY includes compounding. Here's what each means and which one actually matters for savings and loans.ExplainerHow Does Compound Interest Work?Compound interest is interest earning interest. Here's the formula, a worked example, and why starting early beats saving more later.