# Analysis# Math# Education
Mathematical Analysis of Dividend Payback Period
1. Understanding the Formula
Most calculate payback simply:
Simple Payback = Total Investment / Annual Dividend$100k investment at 5% yield = 20 years. Too long. But this ignores **Reinvestment** and **Growth**. It involves a fatal flaw: thinking in simple interest.
2. Real Payback with Compounding
In reality, reinvesting buys more shares (Variable A), and companies raise dividends (Variable B). Cash Flow = Q x DPS. Since both variables grow, assets ballons exponentially.
3. Rule of 72 Application
Assume 4% Yield, 3% Dividend Growth, and 100% Reinvestment. The approximate compound rate is 7%. 72 / 7 = 10.2.
10.2 Years
That's 15 years faster than the simple calc (25 yrs).
This is the mathematical reason to reinvest in dividend growth stocks. Don't just guess. Simulate it with SO Dividend. Freedom is closer than you think.