Mortgage Refinancing Math
Mortgage Basics
What Is a Mortgage?
A mortgage is a loan you get to buy a home. It's likely the biggest loan you'll ever take out, so it works a little differently than, say, a car loan.
When a bank or lender gives you a mortgage, the home you're buying acts as collateral. This is a crucial concept. Collateral is something of value that you promise to give the lender if you fail to repay the loan. With a mortgage, if you stop making payments, the lender has the right to take possession of your property. This process is called foreclosure.
Think of it this way: the house isn't truly yours until the mortgage is fully paid off. The lender holds a claim to it, which is removed once you've paid back every dollar.
The Key Components
Every mortgage is built from the same basic parts. Understanding them is the first step toward managing your home loan confidently. Let's break down the four main components.
Principal
noun
The total amount of money you borrow from the lender to purchase your home.
The principal is the starting point of your loan. Your payments will slowly chip away at this amount over many years.
Interest
noun
The fee a lender charges for the service of lending you money. It's calculated as a percentage of the principal.
Interest is how lenders make a profit. An interest rate can be fixed, meaning it stays the same for the entire loan, or it can be adjustable. For now, just know that the lower the interest rate, the less you'll pay in the long run.
Term
noun
The length of time you have to repay the loan.
The term you choose has a big impact on your monthly payment and the total interest you'll pay.
- Longer term (e.g., 30 years): Your monthly payments will be lower, but you'll pay much more in total interest because you're borrowing the money for a longer period.
- Shorter term (e.g., 15 years): Your monthly payments will be higher, but you'll pay less in total interest and own your home outright much sooner.
Paying It All Back
So, you have your principal, interest rate, and term. How do they come together? Through a process called amortization.
Amortization
noun
The process of paying off a loan with fixed, regular payments over a set period of time.
Each monthly mortgage payment you make is split into two parts: a portion goes to paying down the principal, and the rest goes to paying the interest. The interesting part is how this split changes over time.
At the beginning of your loan, the vast majority of your payment goes toward interest. As you continue to make payments and your principal balance shrinks, the amount of interest you owe each month also decreases. This means more and more of your payment starts going toward the principal. By the end of the loan term, almost your entire payment is dedicated to paying off the last bit of principal.
To see this in action, let's look at a simplified example for a $320,000 loan with a 30-year term and a 6% interest rate. The monthly payment would be about $1,919.
| Payment # | Interest Paid | Principal Paid | Remaining Balance |
|---|---|---|---|
| 1 | $1,600.00 | $319.00 | $319,681.00 |
| 2 | $1,598.41 | $320.59 | $319,360.41 |
| 3 | $1,596.80 | $322.20 | $319,038.21 |
| ... | ... | ... | ... |
| 358 | $18.91 | $1,900.09 | $1,908.48 |
| 359 | $9.54 | $1,909.46 | $0.00 |
Notice how in the first payment, only about $319 goes to reducing your loan balance. But in one of the final payments, over $1,900 goes toward the principal. This steady, predictable process is how millions of people gradually build ownership in their homes.
Ready to check your understanding?
If a homeowner stops making mortgage payments, the lender has the right to take possession of the property. What is this process called?
What is the primary advantage of choosing a shorter mortgage term, such as 15 years instead of 30 years?
Understanding these core concepts—principal, interest, term, and amortization—is the foundation for making smart decisions about your home and finances.
