Racira Calculator

Exponential Growth Calculator

Exponential Growth Calculator

Final Amount
$1,628.89
1,000 × 1.05^10 · doubling every 14.2 periods
Total Increase
+$628.89
Increase (%)
+62.9%
Doubling Time
14.2
QuantityValue
Starting Amount1,000
Growth Rate5.00% per period
Periods10
Growth Factor (1 + r)1.0500
Final Amount1,628.89
Total Increase+628.89
Increase (%)+62.9%
Doubling Time14.21 periods

Growth Curve

Summary Statistics
Final Amount1,628.89
Total Increase+628.89
Growth Factor1.0500
Doubling Time14.21
Rate5.00%
Periods10

About the Exponential Growth Calculator

Compounding growth follows A = P(1 + r)ᵗ. At 5% over 10 periods, $1,000 becomes $1,000 × 1.05¹⁰ ≈ $1,628.89 — a 62.9% gain, well above the 50% that simple interest would give, because each period's interest earns interest itself.

The Power of Doubling Time

Growth rate maps directly to a doubling time: ln(2) ÷ ln(1 + r). A 1% advantage in annual growth shortens the doubling time meaningfully — and because growth is exponential, that advantage compounds into a many-times-larger final gap over a career or a century.

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