Calculators/Loan & Mortgage

Loan & Mortgage

Estimate monthly mortgage payments, adjust values using sliders, and generate interactive amortization schedules.

1. Configure Parameters

Loan Principal
$
Interest Rate (APR)
%
Loan Duration
Yrs

2. Payment Summary

Estimated Monthly
$2,528.27
Interest Cost
$510,178.61
Total Loan Cost
$910,178.61
Principal (44%)Interest (56%)
Amortization Schedule (Annual)
YearAnnual PaymentPrincipal PaidInterest PaidRemaining Balance
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💡 How to Use & Loan Math Formulas

How to Use:

  1. Adjust the Loan Principal amount using the slider or numeric input to represent the total amount borrowed.
  2. Define the Interest Rate (APR) representing the yearly interest rate charged by the lender.
  3. Select the Loan Duration in years.
  4. Observe the estimated monthly payments, total interest paid, and total payment cost update instantly. Click 📋 to copy any result.
  5. Expand the Amortization Schedule to observe year-by-year remaining balances and interest details.

Amortization Math Formula Used:

We compute the monthly payment ($M$) utilizing the standard fixed-rate amortization mathematical formula:

M = P * [ r(1 + r)^n ] / [ (1 + r)^n - 1 ]

Where:

  • P = Principal amount borrowed (e.g., $400,000)
  • r = Monthly interest rate, calculated as Annual Rate / 12 months (e.g., 6.5% APR = 0.065 / 12)
  • n = Total number of monthly periods, calculated as Years * 12 months (e.g., 30 years = 360 payments)
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