Mortgage Rate Calculator

This mortgage rate calculator is the rate-shopping page in the mortgage family. It turns a quoted mortgage rate into payment, fee, and scenario cost numbers so you can compare two offers that may not be as similar as they look. A lower stated rate can come with points, up-front charges, or annual fees. A higher stated rate can sometimes be cheaper if it avoids large fees or if you plan to sell or refinance before the breakeven point.

Use the mortgage calculator when you need home price, down payment, taxes, insurance, HOA dues, PMI, and extra-payment effects. Use the simple mortgage calculator when you only need principal and interest from a loan amount, rate, and term. Use the mortgage calculator with taxes and insurance for PITI, and the mortgage amortization calculator for schedule detail.

What the rate inputs mean

The loan balance is the amount being financed. The mortgage term sets the number of monthly payments. The mortgage rate is the quoted annual rate. The compounding frequency converts that annual rate into the monthly rate used by the payment formula; monthly is the common U.S. and U.K. option in the inputs, while semi-annual is included for Canadian-style conventions.

Mortgage type changes the note. A fixed-rate selection uses the same payment for the full term. A 5/1 ARM estimate keeps the starting payment for up to 60 months, estimates the remaining balance, and then calculates a reset payment using the expected later rate. The custom ARM option uses 36 months before reset. Points are entered as a percentage of the loan balance, up-front fee is a dollar amount, and annual fee is spread monthly for the scenario calculation.

Calculation

For loan principal P, monthly interest rate r, and n monthly payments, the standard amortized-payment formula is:

$\text{M} = P \frac{r(1+r)^n}{(1+r)^n-1}$

Initial fees are:

$\text{initial fees} = \text{loan balance} \cdot \text{points rate} + \text{up-front fee}$

The amount financed for the scenario calculation is:

$\text{amount financed} = \text{loan balance} - \text{initial fees}$

The calculator then solves for the monthly rate that makes the present value of the monthly payment plus monthly annual-fee amount equal to the amount financed. That solved monthly rate is multiplied by 12 and shown as the scenario effective annual rate.

Checking a mortgage rate scenario

The default loan balance is 300,000 dollars, the term is 30 years, the quoted mortgage rate is 6.5 percent, compounding is monthly, mortgage type is fixed, points are 1 percent, the up-front fee is 1,500 dollars, and the annual fee is 300 dollars.

With monthly compounding, the monthly rate is 0.065 divided by 12. The principal-and-interest payment from the amortized-payment formula is 1,896.20 dollars. Points equal 1 percent of 300,000 dollars, or 3,000 dollars. Add the 1,500 dollar up-front fee and initial fees are 4,500 dollars. The annual fee contributes 25 dollars per month.

The amount financed for the scenario calculation is 295,500 dollars because the calculator subtracts the 4,500 dollars of initial fees from the 300,000 dollar balance. Solving the present-value equation with the 1,896.20 dollar payment plus the 25 dollar monthly fee gives a scenario effective annual rate of about 6.77 percent. Total payments are about 696,133.47 dollars, and paid interest and fees are about 396,133.47 dollars.

APR, points, and amortization

The stated mortgage rate drives the monthly principal-and-interest payment. APR tries to express the broader cost of credit after selected fees. That distinction is important when comparing offers. A 6.25 percent rate with heavy points might have a higher scenario effective-rate cost than a 6.5 percent rate with fewer fees, especially if you will not keep the loan long enough for the payment savings to repay the points.

Amortization still matters. The payment formula assumes the balance is paid down over the selected term. Early payments are interest-heavy; later payments reduce more principal. Points and up-front fees do not reduce the loan balance in this calculator. They are treated as borrowing costs that reduce the amount financed for the scenario-rate calculation.

ARM and rate context

For ARM estimates, the calculator shows the initial payment and an estimated reset payment in the note. The total payments and paid-interest figures are adjusted using the reset payment, but the scenario effective annual rate item is still based on the initial payment and fees rather than a full ARM disclosure model. It does not include index changes, margin, periodic caps, lifetime caps, or lender-specific rules.

Mortgage rates move with broader credit markets, inflation expectations, Federal Reserve policy expectations, investor demand for mortgage-backed securities, and lender competition. Borrower factors also matter: credit score, down payment, occupancy, property type, loan size, and discount points can all change a quote. Use this page with the mortgage-points calculator, mortgage refinance calculator, and mortgage comparison calculator when choosing between offers. This page is informational only and is not a loan quote or financial advice.

Method scope and source version

Jurisdiction-neutral loan mathematics; lender contracts, disclosures, taxes, insurance, PMI, and compounding conventions vary. Evergreen method only; defaults/examples must not be represented as current market, legal, tax, or institutional data. The sources below support the stated method and definitions; they do not supply a live rate, quote, legal conclusion, lender offer, or institution-specific policy.

Sources

• Consumer Financial Protection Bureau, Explore interest rates — borrower and loan factors for mortgage-rate comparisons.
• Consumer Financial Protection Bureau, Loan Estimate explainer — official disclosure context for APR, payments, and loan costs.
• Freddie Mac, Primary Mortgage Market Survey — weekly mortgage-rate survey.
• Federal Reserve, Selected Interest Rates H.15 — broader interest-rate data context.