Exponential Growth Calculator

Mode: Discrete (rate % per period) Continuous (k per period)

Initial value (P₀)

Growth rate per period (r%)

Number of periods (n)

Use any unit (months, years, hours)—just be consistent with your rate.

Rows in step table

Shows values from period 0 up to min(n, rows).

Exponential Growth – Quick Cheat Sheet

Discrete growth: Pₙ = P₀ (1 + r)^n, where r is % per period ÷ 100.
Continuous growth: Pₙ = P₀ e^{k n}, where k is the continuous rate per period.
Growth factor: final ÷ initial (Pₙ/P₀). For discrete, it is (1+r)^n; for continuous, e^{k n}.
Total increase: Pₙ − P₀, and total %: (Pₙ/P₀ − 1)×100%.
CAGR (effective per period): (Pₙ/P₀)^{1/n} − 1.
Doubling time: discrete t = ln(2) / ln(1+r); continuous t = ln(2) / k.
Units: “period” can be days, months, years, etc.—just match it with your rate.

Tips & edge cases

Negative rates work (decay). For discrete, ensure r > -100%.
Very large n or rates can overflow—values are capped to keep rendering stable.
For continuous mode, an approximate discrete equivalent per-period rate is e^{k}-1.