Navigating the Geometry of Debt
High-interest debt (like credit cards and payday loans) uses daily compounding interest working against you. If you only pay the minimum monthly amount, virtually your entire payment goes toward simply servicing the interest charge, leaving the underlying principal untouched for years or decades.
Understanding Debt Metrics
Amortization Reality
In the early stages of a loan or credit card balance, the bulk of your payment is consumed by interest. You only start significantly reducing the principal later on.
The Minimum Payment Trap
Credit card companies set minimum payments staggeringly low (often 1-2% of the balance plus interest) specifically to keep you trapped in debt as long as mathematically possible.
Snowball vs. Avalanche
Avalanche method: target the highest interest rate debt first (mathematically optimal). Snowball method: target the smallest balance first (psychologically optimal to score quick wins).