Compounding effect
At the same 5% annual return, twenty years is not simply twenty times one year. Returns are added to the base for later periods, so longer horizons amplify compounding and small rate differences can create large long-term gaps.
074 · BUSINESS & FINANCE
Compound Growth & Future Value Calculator
Calculate how principal and recurring contributions grow with compounding, compare the result with a target, and reverse-calculate the contribution or principal needed.
LOCALCALCULATE IN YOUR BROWSER
LOCALPrincipal, contribution, rate, and target values are calculated only in this browser and are not sent to or stored on a server.
Compounding
Contribution Timing
Assumptions & reverse calculations
Formula
FV = P×(1+r/m)^N + C×[((1+r/m)^N−1)/(r/m)]RESULT · Future Value
Fixed-rate simulationFuture Value59,083,268KRW
Total Invested46,000,000KRW
Total Contributions36,000,000KRW
Compound Growth13,083,268KRW
Below goal · Goal Gap: 40,916,732 KRW
Required Recurring Contribution: 577,873 KRW / Required Initial Principal: 37,445,556 KRW
Compounding periods120
Periodic rate0.33333333%
Compounding / Contribution TimingMonthly Compounding · End of period
SIMULATION · This is a future-value simulation assuming the entered fixed annual rate remains constant. It does not predict or guarantee actual investment returns.
HOW TO USE
How to use
- 01
Enter initial principal, annual rate, and term.
- 02
Choose monthly or annual compounding.
- 03
Optionally enter a recurring contribution at the same frequency as compounding.
- 04
Keep end-of-period contribution or choose beginning-of-period.
- 05
Enter a target to see future value, the gap or surplus, and the required contribution or initial principal.
- 06
Break the future value into starting principal, additional contributions, and investment growth to understand what drives the result.
COMPOUND GUIDE
Compound growth essentials
Compounding earns returns on both the starting principal and previously accumulated returns. Because time, rate and contribution frequency strongly affect the outcome, separate principal, contributions and growth when reading the result.Recurring contributions
Monthly additions are not invested for the entire horizon. Earlier contributions compound for longer and later ones for less time, so separate total contributions from investment growth when evaluating the result.
Contribution timing
Beginning-of-period and end-of-period contributions can produce different outcomes even with the same amount and term. This tool defaults to end-of-period contributions, so match that assumption when comparing calculators.
Return assumption
A fixed annual return is a simplified scenario, not a forecast. Real returns vary and can include losses, so comparing several cases such as 3%, 5% and 7% is often more useful than relying on a single optimistic rate.
Target amount
The gap to a target shows how close the current assumptions come to the goal. Rather than forcing the target by assuming a very high return, first test controllable variables such as a longer horizon or higher recurring contribution.
Real purchasing power
A future nominal amount may not buy what the same amount buys today because of inflation. This calculator shows nominal future value, so long-term planning should separately consider taxes, fees and inflation.
IMPORTANT NOTES
Important notes
- Compound growth is a simulation assuming the entered annual rate remains fixed for the full term.
- Recurring contributions use the same frequency as the chosen compounding period; end-of-period is the default timing.
- Monthly and annual compounding can differ even at the same nominal annual rate.
- Intermediate values are not rounded; rounding is applied only for display.
- Taxes, promotional rates, early termination, fees, and market volatility are not included.
- The result does not predict or guarantee actual investment returns.
- A constant long-term return is a simulation; real investments can vary and may include losses, taxes, and fees.
FAQ
Frequently asked questions
01What is the core idea of compound growth?+
Returns are added to the base and can earn returns again in later periods.
02Why do monthly and annual compounding differ?+
Interest is added at different intervals, which can change the result even with the same nominal annual rate.
03When are recurring contributions added?+
The default is at the end of each compounding period, with beginning-of-period available as an option.
04What happens when I enter a target amount?+
You see the projected future value, the goal gap or surplus, and reverse calculations for recurring contribution and initial principal.
05Is this an actual investment return forecast?+
No. It is a fixed-rate future-value simulation based on the values you enter.