Mortgage Refinance Math
Mortgage Basics
What Is a Mortgage?
A mortgage is a loan you take out to buy a home. It's likely the largest loan you'll ever get. What makes it unique is that the home you buy also serves as collateral for the loan. This means if you stop making payments, the lender has the right to take the property.
Collateral
noun
An asset that a lender accepts as security for a loan. If the borrower defaults on the loan payments, the lender can seize the collateral.
This arrangement makes lending less risky for the bank, which is why they're willing to lend such large sums of money for home purchases. For the borrower, it's a path to homeownership without needing to have the full purchase price in cash upfront.
The Building Blocks
Every mortgage is made up of a few key components that determine how much you pay each month and over the life of the loan. Understanding them is the first step to mastering your mortgage.
Principal
noun
The original amount of money you borrow from the lender to buy the home.
Interest
noun
The fee a lender charges you for borrowing their money, expressed as a percentage rate.
Term
noun
The length of time you have to repay the loan. Common mortgage terms are 15 or 30 years.
These three pieces—principal, interest, and term—are used to calculate your monthly payment through a process called amortization.
Amortization
noun
The process of paying off a loan with regular, fixed payments over a set period. Each payment covers both interest and a portion of the principal.
When you first start paying your mortgage, a large portion of your payment goes toward interest. As time goes on and your principal balance shrinks, more and more of each payment chips away at the principal. By the end of the term, your payments are almost entirely principal.
This payment structure is why you build equity (the portion of your home you own outright) slowly at first, and then much faster toward the end of your loan.
Fixed vs. Adjustable Rates
Mortgages generally fall into two categories based on how their interest rate is handled.
A fixed-rate mortgage has an interest rate that is locked in for the entire term. Your principal and interest payment will never change.
This predictability is the main appeal of a fixed-rate loan. You know exactly what your payment will be for the next 15 or 30 years, which makes budgeting much easier. Most homebuyers in the U.S. choose this option for its stability.
An adjustable-rate mortgage (ARM) has an interest rate that can change over time. It typically starts with a lower, fixed introductory rate for a few years, after which it adjusts periodically based on market conditions.
ARMs can be appealing because of the initial low payment. However, they carry the risk that your rate and payment could increase significantly in the future. They might be a good fit for someone who plans to sell the home before the introductory period ends, but they require careful consideration of the potential for higher future payments.
What's in a Monthly Payment?
Your total monthly mortgage payment often includes more than just principal and interest. It's commonly referred to by the acronym PITI.
| P | Principal | The portion of your payment that reduces your loan balance. |
|---|---|---|
| I | Interest | The portion that pays the lender for the loan. |
| T | Taxes | Property taxes, which your lender often collects and pays on your behalf. |
| I | Insurance | Homeowners insurance, also typically collected and paid by the lender. |
Lenders collect the money for taxes and insurance in a special account called an escrow account. They do this to ensure these crucial bills are paid on time, protecting their investment—your home. Because property taxes and insurance premiums can change from year to year, the T and I parts of your PITI payment can fluctuate, even if you have a fixed-rate mortgage.
What is the defining characteristic of a mortgage loan?
In the early years of a typical 30-year mortgage, the largest portion of your monthly payment is applied to the...
Understanding these core concepts is the foundation for making smart decisions about your home loan, whether you're buying for the first time or considering future options like refinancing.