Exponentielles-Wachstum-Rechner — Formel

Compound Growth

Formula

Final = Initial × (1 + r)^n

where r is the growth rate per period and n is the number of periods.

Rule of 72

To estimate doubling time: Periods ≈ 72 / rate(%)

At 6% growth, doubling takes approximately 72/6 = 12 periods.

Lösungsbeispiel

1000 growing at 5% per year for 10 years.

  1. Final = 1000 × (1.05)^10
  2. = 1000 × 1.6289
  3. = 1628.89
  4. Total gain = 628.89
  5. Doubling time ≈ 72/5 = 14.4 years