Mortgage Comparison Calculator
Which mortgage option saves you the most money monthly and long-term?
Enter two different mortgage scenarios with loan amount, interest rate, and term length. Compare monthly payments, total interest paid, and total cost to determine which mortgage option saves you the most money over the life of the loan.
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How It Works
The formula, explained simply
The mortgage comparison calculator uses the standard amortization formula to calculate monthly payments for each loan option, then compares the total costs over the life of each loan. The monthly payment calculation considers three key factors: the loan principal amount, the annual interest rate converted to a monthly rate, and the total number of monthly payments.
For each mortgage option, the calculator determines the monthly payment using the formula that ensures the loan is fully paid off by the end of the term. It then multiplies the monthly payment by the total number of payments to find the total amount paid, and subtracts the original loan amount to show total interest paid. This gives you a complete picture of both the monthly budget impact and long-term cost.
The comparison reveals which option costs less monthly, which saves money over the loan lifetime, and the specific dollar amounts of the differences. This helps you balance your monthly budget constraints against long-term savings goals. A lower monthly payment preserves cash flow but typically costs more in total interest, while higher payments build equity faster and reduce total interest paid.
When To Use This
Right tool, right situation
Use this mortgage comparison calculator when evaluating multiple loan offers from different lenders, comparing different loan terms (like 15-year vs 30-year), or deciding how much to borrow based on different down payment amounts. It's particularly valuable when rate shopping, as small rate differences create large long-term cost impacts that aren't immediately obvious.
The calculator is essential when considering whether to pay points to buy down your interest rate, or when choosing between adjustable and fixed-rate mortgages with different starting rates. It helps quantify the monthly budget impact versus long-term savings trade-off that defines most mortgage decisions.
Use it before meeting with real estate agents or making offers, so you understand your true monthly housing cost range. Having this information prevents you from falling in love with homes outside your actual budget and helps you negotiate more effectively when you know the exact financial impact of different purchase prices.
Common Mistakes
Why results sometimes look wrong
The most common mistake is focusing only on monthly payments without considering total cost. A lower payment often means paying significantly more interest over the loan lifetime. Similarly, some borrowers choose the lowest total cost option without ensuring they can comfortably afford the higher monthly payments.
Another error is comparing mortgages with different loan amounts without adjusting for down payment differences. A mortgage that requires a smaller down payment may have a higher loan amount, making the monthly payment comparison misleading. Always compare mortgages with your actual down payment scenarios.
Borrowers also forget to factor in mortgage insurance, taxes, and fees that can vary between loan options. This calculator compares the base loan payments, but your actual housing cost includes property taxes, homeowners insurance, and possibly PMI. Get complete payment estimates from lenders before making final decisions.
The Math
Worked examples and deeper derivation
The monthly payment calculation uses M = P × [r(1 + r)^n] / [(1 + r)^n - 1], where M is the monthly payment, P is the principal loan amount, r is the monthly interest rate (annual rate ÷ 12), and n is the total number of monthly payments (years × 12).
The total amount paid equals the monthly payment multiplied by the number of payments, and total interest equals total paid minus the original loan amount. When comparing mortgages, the calculator shows both the monthly payment difference and the lifetime cost difference, helping you understand the trade-off between cash flow and total cost.
Small interest rate differences compound significantly over 15-30 years. A 0.25% rate difference on a $350,000 mortgage costs about $52 more per month but $18,720 more over 30 years. The mortgage comparison calculator makes these long-term impacts visible by showing exact dollar amounts for each scenario.
Expert Unlock
The thing most explanations skip
The standard amortization formula assumes you'll keep the mortgage for the full term, but most homeowners refinance or sell within 7 years. For shorter holding periods, focus more on monthly payment differences than total interest savings. A 15-year mortgage's interest savings disappear if you sell in 5 years, but the higher payments remain.
Should I always choose the mortgage with lower total cost?
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