Mortgage Refinancing Math
Mortgage Basics
What is a Mortgage?
Think of a mortgage as a special kind of loan you get to buy a home. Because most people don't have enough cash to buy a property outright, they borrow money from a lender, like a bank. This loan is called a mortgage.
What makes it special? The property you buy acts as collateral. This means if you stop making payments, the lender has the right to take the property. It's a security measure for the lender, which is why they're willing to lend such a large amount of money.
The Building Blocks of Your Payment
Every mortgage payment you make is split into two main parts: principal and interest. Understanding these is key to knowing where your money goes.
Principal
noun
The original amount of money you borrowed from the lender to buy your home.
Each month, a portion of your payment goes toward chipping away at this principal balance.
Interest
noun
The fee you pay to the lender for the service of borrowing their money. It's calculated as a percentage of the outstanding principal.
So, your monthly payment covers both the cost of borrowing (interest) and slowly paying back the actual loan amount (principal). There are other costs often bundled into a mortgage payment, like taxes and insurance, but principal and interest are the core of the loan itself.
Your Loan's Lifespan
The loan term is the amount of time you have to repay the mortgage. The most common terms in the United States are 30 years and 15 years. Your choice of term has a big impact on your finances.
- Longer Term (e.g., 30 years): This results in lower monthly payments, which can make homeownership more affordable day-to-day. However, because you're paying interest for a longer period, you'll pay significantly more in total interest over the life of the loan.
- Shorter Term (e.g., 15 years): This means higher monthly payments. But you'll pay off the loan much faster and save a substantial amount of money on interest.
Let's see how this works for a $300,000 loan with a 6% interest rate.
| Loan Term | Monthly Payment (P+I) | Total Interest Paid |
|---|---|---|
| 30-Year | $1,798.65 | $347,515 |
| 15-Year | $2,531.57 | $155,683 |
Choosing the 15-year term would save over $190,000 in interest, but the monthly payment is over $700 higher.
How You Pay It All Off
Mortgages are paid off through a process called amortization. This is just a fancy word for scheduling fixed, periodic payments of both principal and interest.
Even though your monthly payment amount stays the same for the entire loan term (for a fixed-rate loan), the composition of that payment changes every single month. At the beginning of the loan, most of your payment goes toward interest. As time goes on, the balance shifts, and more of your payment starts going toward the principal. This is because the interest is calculated on a smaller and smaller principal balance each month.
As the graph shows, in the early years, you're mostly paying interest. But by the end of the loan, nearly your entire payment is going toward paying off the last bit of principal, wiping out your debt for good.
What is the primary purpose of a mortgage?
The process of paying off a loan with fixed, scheduled payments of principal and interest is called ________.
Now you have a solid grasp of what a mortgage is and how it works. These core concepts—principal, interest, loan term, and amortization—are the foundation for everything else in the home financing world.
