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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.
Choose the number of years and compounding periods per year.
Calculate to see the projected balance and interest earned.
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Formula
A = P(1 + r ÷ n)ⁿᵗ
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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.
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
Periodic rate: 0.4166666667%
Compounding periods: 120
10000 × 1.0041666667^120
= 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
Periodic rate: 0%
Compounding periods: 3
1000 × 1^3
= 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.
LEARN & APPLY
Calculation guides
Worked decisions, assumptions, and checks that put the tools in context. Guides are currently published in English.
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: