Exponential Growth & Decay Calculator
Project a quantity that grows or shrinks by a fixed percent per period, with its doubling time or half-life.
Final amount P(t)
1628.894627
- Change
- 628.8946268
- Doubling time
- 14.20669908 periods
Show the work
Growth factor, r = rate ÷ 100
(1 + r) to the power of t
(1 + 0.05) to the power of 10 = 1.628894627
Times P0
P(t) = P0 × growth factor
1000 × 1.628894627 = 1628.894627
How it works
P(t) = P₀ × (1 + r)^t (or P₀ × e^(rt) continuously); doubling time = ln 2 ÷ ln(1 + r)
Questions
- How does the exponential growth & decay calculator work?
- P(t) = P₀ × (1 + r)^t (or P₀ × e^(rt) continuously); doubling time = ln 2 ÷ ln(1 + r).
- What do I need to enter?
- Starting amount (P₀), Rate per period, Number of periods (t), Growth is. Optional fields can be left blank.
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