Mortgage Math That Builds Real Financial Intuition
Why the first ten years of a mortgage are mostly interest, and what that teaches you.
Understand amortisation once and you will read every loan correctly forever.
A 30-year mortgage is not 360 equal payments of principal and interest — it is 360 payments where the mix changes every single month. Understanding that curve is the single highest-leverage piece of money literacy you can acquire.
Quick answer
Understand amortisation once and you will read every loan correctly forever.
Key points
- ▸ On a $400k loan at 7%, the first monthly payment is $2,661 — of which $2,333 is interest and only $328 is principal.
- ▸ It takes roughly 21 years on a 30-year loan at 7% before principal exceeds interest in a single payment.
- ▸ Total interest paid over 30 years at 7% on $400k is about $558k — you pay back nearly 2.4x the borrowed amount.
- ▸ Halving the rate from 7% to 3.5% does not halve the interest — it cuts it by about 65% because of compounding.
- ▸ The intuition transfer: any long-term fixed payment with interest behaves the same way — car loans, student loans, business loans. Front-loaded interest is the rule, not the exception.
Examples
- Payment 1 vs. payment 360On $400k at 7%: payment 1 is $328 principal / $2,333 interest. Payment 360 is $2,646 principal / $15 interest. Same $2,661 total each month — completely different composition.
- The 1% rate lessonDropping the rate from 7% to 6% on $400k cuts the monthly payment from $2,661 to $2,398 — $263/mo or $94,680 over 30 years. One percent is never just one percent.
- Why points can pay offPaying 1 point ($4,000) to drop from 7% to 6.75% saves about $66/mo. Break-even is 61 months. Planning to stay more than 5 years? Points win.
When to use which tool
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Frequently asked questions
› Why is mortgage interest front-loaded? Troubleshooting
Interest is charged on the outstanding balance. When the balance is high (early years), more of the payment goes to interest. As the balance falls, interest shrinks and principal grows.
› Is a 15-year mortgage really better than a 30? Comparison
On $400k at 6.5% (15y) vs 7% (30y): you pay $227k total interest vs $558k — a $331k difference. But the monthly is $3,485 vs $2,661. It is a cash-flow choice, not a universal rule.
› How should I use this guide with a Kefiw tool? How-to
Use the guide as the plan and the linked Kefiw tool as the check. Read the steps first, try the move manually, then use the tool to compare outputs, catch edge cases, and decide whether the result actually fits your task.
› What mistake do tool guides help avoid? Troubleshooting
Tool guides help avoid using a utility mechanically without understanding what you are trying to accomplish. Most word, writing, and text utilities are fast, but speed can hide context mistakes. Know whether you are solving a puzzle, cleaning copy, drafting a line, or checking a rule.
› Can a tool guide help me learn the skill? How-to
A tool guide can help you learn if you pause before accepting the output and ask why it worked. Compare your first guess with the tool result, look for the rule or pattern, and repeat that review. Passive copying solves one task; active review builds the skill.