# $250,000 Mortgage at 7% for 30 Years — Mortgage Calculator

> See the monthly payment on a $250,000 home loan at 7% over 30 years and how much of it is interest.

- **Answer:** ~$1,663/mo
- **Category:** Finance & Money
- **Interactive calculator:** https://youcalc.com/en/finance-money/mortgage/250k-at-7pct-30yr/
- **Price:** Free, no sign-up required
- **Full calculator:** [Mortgage Calculator](https://youcalc.com/en/finance-money/mortgage/)
- **Pre-filled inputs:** `p=250000&r=7&t=30`

| Metric | Value |
| --- | --- |
| Monthly principal & interest | $1,663 |
| Loan amount | $250,000 |
| Total interest (30 yr) | $348,772 |
| Total of payments | $598,772 |


## Overview

Move the same $250,000 loan from 6% to 7% and the monthly principal-and-interest jumps to about $1,663 — roughly $164 more every month for a single percentage point. The extra rate adds nearly $59,000 to lifetime interest, pushing total interest to about $348,800 over the 30 years. It is a clear illustration of why even a small rate change reshapes a mortgage.

## Method

The principal-and-interest portion is computed using the standard level-payment amortization formula: M = P × r(1+r)ⁿ / ((1+r)ⁿ − 1), where P is the loan amount (home price minus down payment), r is the monthly interest rate (annual rate divided by 12), and n is the total number of monthly payments (term in years multiplied by 12). At a 0% rate the formula simplifies to M = P / n. From that fixed P&I payment, a month-by-month amortization schedule is built: each month's interest equals the remaining balance multiplied by the monthly rate, the remainder of the payment reduces the principal, and the final month absorbs any accumulated rounding difference so the balance closes exactly to zero. Property tax and home insurance are divided by 12 and added to P&I each month; PMI and HOA dues are added as their stated monthly amounts. Summing these components produces the PITI total shown in the headline.

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## Sources

- https://www.investopedia.com/mortgage-calculator-5096931
- https://www.consumerfinance.gov/ask-cfpb/what-is-private-mortgage-insurance-en-122/
- https://www.calculator.net/mortgage-calculator.html

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Interactive version: https://youcalc.com/en/finance-money/mortgage/250k-at-7pct-30yr/ · From YouCalc — https://youcalc.com