Principal Mortgage Calculator

Reviewed by David Chen, CFA | Mortgage Finance Expert | Last Updated: November 2023

Calculate your monthly obligation. Use this principal mortgage calculator to determine your monthly Principal and Interest (P&I) payment based on your loan amount, interest rate, and term length.

Principal Mortgage Calculator

$
Please enter a valid principal amount.
%
Please enter a valid interest rate.
Years
Please enter a valid term (1-50 years).
Monthly Principal & Interest
$0.00
*Does not include taxes or insurance

Principal Mortgage Calculator Formula

This calculator uses the standard fixed-rate mortgage formula to determine the monthly payment required to pay off the principal and interest over the specified term:

M = P [ i(1 + i)^n ] / [ (1 + i)^n – 1 ]

Variables

  • M: Monthly Payment (Principal & Interest).
  • P: Principal Loan Amount (The starting balance).
  • i: Monthly Interest Rate (Annual Rate / 12).
  • n: Total Number of Months (Years × 12).

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What is Principal Mortgage Calculator?

A principal mortgage calculator is designed to isolate the core components of your loan: the Principal (the amount you borrowed) and the Interest (the cost of borrowing). It specifically excludes variable costs like property taxes, homeowners insurance, and HOA fees.

Understanding your “P&I” payment is crucial because it is the fixed portion of your monthly obligation (assuming a fixed-rate loan). While taxes and insurance rates may fluctuate year to year, your principal and interest payment remains constant for the life of the loan.

How to Calculate Principal Mortgage Calculator (Example)

Let’s calculate the payment for a standard loan:

  1. Principal (P): You borrow $250,000.
  2. Rate (r): The annual interest rate is 6.0%.
  3. Term (t): The loan term is 30 years.
  4. Monthly Rate (i): 0.06 / 12 = 0.005.
  5. Total Months (n): 30 × 12 = 360.
  6. Result: Using the formula, the monthly P&I payment is approximately $1,498.88.

Frequently Asked Questions (FAQ)

What is the “Principal”?

The principal is the amount of money you originally borrowed from the lender to purchase the home. As you make monthly payments, a portion goes toward reducing this principal balance.

Does the principal payment change over time?

Yes. In a fixed-rate mortgage, the total monthly payment stays the same, but the portion allocated to principal increases over time while the interest portion decreases. This process is called amortization.

Why doesn’t this include taxes?

Property taxes and insurance vary widely by location and provider. Isolating the P&I payment allows you to see the direct cost of the loan itself, providing a baseline for comparing loan offers.

Can I pay extra toward principal?

Yes. Making additional payments directly toward the principal balance reduces the total interest you pay over the life of the loan and allows you to pay off the mortgage sooner.

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