Finance Calculators

Compound Interest Calculator

Project investment growth with configurable interest and compounding frequency.

Reviewed September 2, 2026Formula, example, outputs, and edge-case tests checked by CalcLogicHub.Review methodology
LOCAL CALCULATION

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Result

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Your calculations are processed locally and are not stored.

Use one currency consistently. Results are in the same currency as the amounts you enter.

Quick answer

Compound growth uses A = P(1 + r/n)^(nt): P is starting principal, r is the annual rate as a decimal, n is compounding periods per year, and t is years. Enter 5 for 5%. $10,000 at 5%, compounded monthly for 10 years, becomes about $16,470.09.

Formula · Worked example · Units and assumptions · Questions and answers

01

How to Calculate

  1. Enter the initial principal and annual rate.
  2. Choose the number of years and compounding periods per year.
  3. Calculate to see the projected balance and interest earned.
02

Formula

A = P(1 + r ÷ n)ⁿᵗ
03

Example

$10,000 at 5% compounded monthly for 10 years grows to approximately $16,470.09.

Units, assumptions, and limitations

  • Rate and compounding frequency stay constant, and interest stays invested. Compounding periods per year must be a positive whole number.
  • The main calculator excludes recurring deposits, withdrawals, taxes, fees, inflation, and variable returns. The separate monthly savings planner below supports month-end deposits with monthly compounding. Neither predicts a return.

Common mistake to avoid

Entering an effective annual yield as a nominal rate and then compounding it again.

Explanations updated . See the calculation methodology for precision and review details.

Practical examples & result interpretation

Use the matching example buttons in the calculator to load these inputs. The scenarios are illustrative, not personal advice or real customer records.

Monthly compounding, no deposits

Starting amount
10000 $
Annual interest rate
5 %
Time
10 years
Compounds per year
12

Result: 16,470.09

  1. Periodic rate: 0.4166666667%
  2. Compounding periods: 120
  3. 10000 × 1.0041666667^120
  4. = 16470.0949769028

This projects one starting balance with interest retained. Compare it with the monthly savings planner below if you also intend to make recurring deposits.

Zero-growth baseline

Starting amount
1000 $
Annual interest rate
0 %
Time
3 years
Compounds per year
1

Result: 1,000

  1. Periodic rate: 0%
  2. Compounding periods: 3
  3. 1000 × 1^3
  4. = 1000

With no return and no extra deposits, the balance stays at 1,000. A baseline helps distinguish modeled growth from money that you contribute yourself.

EXPLORE A SCENARIO

Monthly savings & growth planner

See how regular month-end deposits change the balance over time. This planner always compounds monthly; the lump-sum calculator above lets you choose a different compounding frequency.

This is an independent planner with its own inputs, not a copy of the result above. Use one currency throughout.

How to interpret this planner

Each month earns balance × annual rate / 1,200, then the deposit is added. Deposits do not earn interest until the following month. Rates can be negative; projected growth is not a guaranteed return. Taxes, fees, inflation, withdrawals, and changing rates are excluded.

Supports up to 1,200 whole months. Internally unrounded results are displayed to two decimals, so an account or lender using monthly cent rounding may differ slightly. Inputs stay in your browser; downloaded CSV files are created locally and not uploaded.

HELPFUL ANSWERS

Frequently Asked Questions

What is compound interest?

It is interest calculated on both the original principal and previously accumulated interest.

Does more frequent compounding increase growth?

At the same nominal rate, more frequent compounding generally produces a slightly higher ending balance.

Are regular contributions included?

Use the separate Monthly savings & growth planner on this page to add month-end deposits with monthly compounding. The main calculator above continues to model one starting balance.

Reference sources

Authoritative material used to check the formula, definition, or interpretation shown on this page: