Understanding Your Debt Payoff Timeline
Eliminating debt is an essential prerequisite for financial security and wealth creation. High-interest debt, like credit cards, compounds quickly, eating away at your discretionary budget. Utilizing a structured payoff plan helps you see the compounding cost of interest and find ways to save.
The Mathematics of Amortization
When you pay off a debt, a portion of each payment covers the interest accumulated during that month, while the rest directly reduces the principal balance. This is described by the standard monthly payment formula:
Where P represents the current principal balance, r is the monthly interest rate, M is the monthly payment, and N is the number of months required to hit a zero balance. If your monthly payment is less than or equal to the interest accrued in the first month (i.e. $M \le P \times r$), the debt will grow indefinitely.