How Compound Interest Is Calculated
Compound interest means each period's growth is added back to the balance, so future growth is earned on both your original principal and prior interest. This calculator also includes monthly contributions because most long-term investing plans grow through regular deposits, not only a one-time starting amount.
Future monthly deposits = PMT x (((1 + r / 12)^(12 x t) - 1) / (r / 12))
In the formula, P is starting principal, r is the annual return as a decimal, n is compounding periods per year, t is years, and PMT is the monthly contribution made at the end of each month.
Worked Example
With $10,000 invested, a 7% annual return, monthly compounding, and $250 added every month for 20 years, the ending value is much larger than the $70,000 personally contributed. That gap is the compound growth created by time and reinvested returns.
Compounding Frequency
Annual, quarterly, monthly, and daily compounding change how often interest is credited. Frequency matters, but time horizon, return assumption, and contribution amount usually have a larger practical effect. Use frequency to match the account or product you are modeling.
Limitations and Financial Context
This is an educational planning calculator, not financial advice. Actual investment returns vary, and taxes, fees, withdrawal timing, inflation, and market losses can materially change real outcomes. For major retirement, college savings, or debt decisions, compare conservative and optimistic scenarios and consider professional advice.