Calculate investment growth with compound interest and regular contributions. Understand the exponential math of terminal wealth.
Compound interest is the quantitative result of reinvesting earnings, such that the interest in the next period is calculated on the principal plus the previously accumulated interest. In mathematical terms, this represents a Geometric Progression, where the rate of growth is proportional to the current value, leading to exponential terminal wealth over sufficient time horizons.
The future value ($FV$) of an investment compounded over time is determined by the relationship between the nominal rate, the compounding frequency, and the total duration:
$FV = P(1 + \frac{r}{n})^{nt}$This node has been audited for mathematical precision and memory isolation by the MyUtilityBox engineering team. All logic executes locally in browser V8 to ensure zero data leakage. Last Verified: April 2026.