Mortgage Comparison Calculator
Compare two mortgage loans side-by-side. Calculate differences in monthly payments, total interest paid, and total loan costs to find the best deal.
Why Compare Mortgage Loans Side-by-Side?
Securing a home loan is one of the most significant financial commitments you will make. Even a tiny difference in your interest rate or loan term can result in thousands of dollars saved or lost over the lifetime of your mortgage. A side-by-side comparison helps you see beyond the initial monthly payment and understand the true lifetime cost of each loan option.
How the Comparison Metrics Work
To perform an accurate comparison, the calculator evaluates several core parameters of each loan:
- Loan Amount: The principal balance you borrow from the lender.
- Interest Rate: The annual percentage rate (APR) charged by the lender.
- Loan Term: The duration of the loan, typically 15 or 30 years.
- Extra Monthly Payment: Regular voluntary payments applied directly to the principal to accelerate payoff.
- One-time Fees: Costs such as origination fees, appraisal costs, and closing fees that add to the upfront or lifetime cost.
The Mathematics Behind Mortgage Payments
The standard monthly payment (Principal and Interest) is calculated using the amortization formula:
$$M = P \frac{r(1+r)^N}{(1+r)^N - 1}$$
Where:
- $M$ is the monthly amortization payment.
- $P$ is the principal loan amount.
- $r$ is the monthly interest rate (calculated as the annual rate divided by 12 months, then divided by 100).
- $N$ is the total number of monthly payments (loan term in years multiplied by 12).
By comparing Loan A and Loan B using this formula, you can calculate the exact monthly savings:
$$\text{Monthly Savings} = |M_A - M_B|$$
And the total interest paid for a loan without extra payments:
$$\text{Total Interest} = (M \times N) - P$$
How Extra Payments Reduce Your Loan Term
When you make an extra payment ($E$) each month, your actual monthly payment becomes $M + E$. This extra money goes entirely toward reducing the principal balance. As the principal drops faster, less interest accumulates each month, shortening the overall payoff time from $N$ months to a smaller duration.
Explore More Financial Tools
If you want to focus on a single loan structure, use our basic Mortgage Calculator. If you want to analyze how specific extra payments alter your single loan timeline, try our dedicated Mortgage Payoff Calculator. For refinancing decisions, look at our Refinance Calculator.
Frequently Asked Questions
What is the difference between interest rate and APR?
The interest rate is the base cost of borrowing the principal amount, while the APR (Annual Percentage Rate) includes both the interest rate and any additional fees or closing costs required to secure the loan.
Is a 15-year mortgage always better than a 30-year mortgage?
Not necessarily. While a 15-year mortgage has a lower interest rate and saves huge amounts of total interest over the lifetime of the loan, it requires a much higher monthly payment. A 30-year mortgage offers lower monthly payments, providing financial flexibility.
How do closing fees affect the comparison?
Closing fees are upfront one-time costs. A loan with a lower interest rate but higher closing fees might take several years to break even compared to a loan with no fees but a slightly higher interest rate. The calculator sums these fees into the total lifetime cost to help you evaluate which is cheaper overall.
Can extra payments save me money?
Yes. Making extra principal payments reduces the remaining loan balance faster. This means less interest is calculated on your balance in future months, saving you significant money and shortening the loan payoff timeline.