# Continuous Compound Interest Calculator

URL: https://speedycalculator.com/calculators/finance/continuous-compound-interest/
Last updated: 2026-10-25

> The continuous compound interest calculator works out the future balance when interest compounds continuously – A = Pe^(rt) – plus regular deposits, and compares it with monthly compounding.

## Inputs

- Initial balance
- Annual interest rate (%)
- Term (years, months)
- Additional deposits
- Deposit frequency

## Results

- Final balance
- Compound interest
- Effective annual rate
- Same with monthly compounding

## Formula

```
A = P × e^(rt)
With deposits: + C × [(e^(r/f))^(f t) − 1] ÷ (e^(r/f) − 1)
Effective annual rate = e^r − 1
```

## Explanation

Continuous compounding is the mathematical limit of compounding more and more often. It gives the maximum possible growth for a given nominal rate, though in practice it is only slightly more than daily compounding.

### How to use the Continuous Compound Interest Calculator

- **Initial balance**
- **Annual interest rate**
- **Term**
- **Additional deposits**
- **Deposit frequency**

Results update as you type, and every field accepts the units shown in its menu.

### How it works

Enter the initial balance, interest rate, term and any regular deposits.

### Tips

- Use the nominal annual rate and pick the compounding frequency your bank or broker states.
- Small differences in return or fees compound into large differences over decades.
- Run the calculation with a cautious, a central and an optimistic return to see the range of outcomes.
- Past returns do not guarantee future returns – nothing here is investment advice.

### Common mistakes to avoid

- Comparing an APR with an APY or effective rate.
- Ignoring inflation, taxes and fees when judging a real return.
- Entering a percentage as a decimal (5 instead of 0.05 is correct here).

### Inputs explained

FieldWhat to enterInitial balanceAmount in your currencyAnnual interest rateIn %TermUnits: years, monthsAdditional depositsAmount in your currencyDeposit frequencyChoose one: Monthly, Bi-weekly, Weekly, Quarterly …

### Example values

How the main result changes when **Initial balance** changes and everything else stays at the example values above:

Initial balanceFinal balance5,0008,243.617,50012,365.4110,00016,487.2112,50020,609.0215,00024,730.8220,00032,974.43

## Worked example

Inputs — Initial balance: $10,000; Annual interest rate: 5 %; Term: 10 years; Additional deposits: $0; Deposit frequency: Never.

Results — **Final balance = $16,487.21**; Compound interest = $6,487.21; Effective annual rate = 5.1271 %; Same with monthly compounding = $16,470.09.

## FAQ

**What is continuous compounding?**
Compounding infinitely often – the limit as the number of periods goes to infinity.

**What is the formula?**
A = Pe^(rt), where e ≈ 2.71828.

**Is it much better than daily compounding?**
No – the difference is a tiny fraction of a percent.

**What formula does the Continuous Compound Interest Calculator use?**
A = P × e^(rt).