# $400,000 Mortgage at 7% for 15 Years — Mortgage Calculator

> Monthly payment on a $400,000 mortgage at 7% over 15 years, and how much interest the short term saves.

- **Answer:** ~$3,595/mo
- **Category:** Finance & Money
- **Interactive calculator:** https://youcalc.com/en/finance-money/mortgage/400k-at-7pct-15yr/
- **Price:** Free, no sign-up required
- **Full calculator:** [Mortgage Calculator](https://youcalc.com/en/finance-money/mortgage/)
- **Pre-filled inputs:** `p=400000&r=7&t=15`

| Metric | Value |
| --- | --- |
| Monthly principal & interest | $3,595 |
| Loan amount | $400,000 |
| Total interest (15 yr) | $247,156 |
| Total of payments | $647,156 |


## Overview

A 15-year mortgage of $400,000 at 7% asks for about $3,595 a month — a steep payment, but one that clears the loan in half the time. Total interest is only around $247,200, versus the roughly $558,000 a 30-year loan at the same rate would cost. That is more than $310,000 saved, the reward for committing to a much larger monthly outlay.

## 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/400k-at-7pct-15yr/ · From YouCalc — https://youcalc.com