# $450,000 Mortgage at 7% for 30 Years — Mortgage Calculator

> Calculate the monthly payment on a $450,000 home loan at 7% over 30 years and the total interest cost.

- **Answer:** ~$2,994/mo
- **Category:** Finance & Money
- **Interactive calculator:** https://youcalc.com/en/finance-money/mortgage/450k-at-7pct-30yr/
- **Price:** Free, no sign-up required
- **Full calculator:** [Mortgage Calculator](https://youcalc.com/en/finance-money/mortgage/)
- **Pre-filled inputs:** `p=450000&r=7&t=30`

| Metric | Value |
| --- | --- |
| Monthly principal & interest | $2,994 |
| Loan amount | $450,000 |
| Total interest (30 yr) | $627,790 |
| Total of payments | $1,077,790 |


## Overview

A $450,000 home loan at 7% over 30 years pushes the principal-and-interest payment to about $2,994 a month — right up against the $3,000 mark before any taxes or insurance. The 7% rate means about $627,800 in interest over the life of the loan, so the total repaid lands near $1.08 million. Compare it to the 6% page to see how much that one extra point really costs.

## 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/450k-at-7pct-30yr/ · From YouCalc — https://youcalc.com