The math, plainly
Interest = remaining balance × monthly rate. Every dollar of balance you eliminate is a dollar that won't generate interest for the rest of the loan.
Pay $1 of extra principal in month 1 of a 30-year loan at 7% = save about $6 of interest over the loan life.
Pay that same $1 in month 200 = save maybe $0.50. Time is the multiplier.
Extra payments are guaranteed return
Paying down a 7% loan is mathematically equivalent to a 7% guaranteed, risk-free investment.
In a world where Treasury yields are 4–5%, and equities have 7% expected return with massive variance, a guaranteed 7% from debt paydown is excellent.
The higher the loan rate, the more obvious the choice.
Which loan to pay first
Highest rate first (avalanche): saves the most dollars.
Smallest balance first (snowball): motivational wins faster.
In practice, the dollar difference is usually small ($100–500). Pick whichever you'll actually finish.
Where extra payments fit in the priority stack
1. Emergency fund (3–6 months).
2. 401(k) match (free money — don't skip).
3. High-rate debt (anything 8%+).
4. Max IRA / HSA.
5. Lower-rate debt extras.
6. Taxable investing.
Most "pay extra on mortgage" mistakes happen when steps 1–4 aren't done first.
Common interest-savings mistakes
- Not specifying "principal only" — payment gets applied to next month.
- Paying extra on low-rate debt while higher-rate debt exists.
- Skipping the 401(k) match to pay extra on debt.
- Forgetting to factor in lost mortgage-interest deduction.
- Treating it as worse than equities (it's a guaranteed equivalent return — usually better risk-adjusted).