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How to Calculate Loan Payments

The monthly loan payment is calculated using the standard loan formula:

M = P × [r(1+r)^n] / [(1+r)^n - 1]

Where:

  • M = Monthly payment
  • P = Principal amount (loan amount)
  • r = Monthly interest rate (annual rate ÷ 12)
  • n = Number of payments (loan term in months)

Example: For a $200,000 loan at 5% annual interest for 30 years:

  • Monthly rate = 5% ÷ 12 = 0.4167%
  • Number of payments = 30 × 12 = 360
  • Monthly payment ≈ $1,073.64
  • Total interest ≈ $186,511.57

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