How to Calculate Loan Payment
Learn how to calculate your monthly loan payment using the standard loan formula.
Understanding Loan Payments
Loan payments are calculated using the standard loan formula, also known as the annuity formula. This formula takes into account the principal amount, interest rate, and loan term.
Understanding how loan payments work is essential for making informed borrowing decisions. Whether you're taking out a mortgage, auto loan, or personal loan, knowing how your payment is calculated helps you budget effectively.
The Loan Payment Formula
M = P × [r(1+r)^n] / [(1+r)^n - 1]
The standard formula for calculating monthly loan payments
The Formula Explained
Where:
- M = Monthly payment
- P = Principal (loan amount)
- r = Monthly interest rate (annual rate / 12)
- n = Number of payments (years × 12)
Step-by-Step Example
For a $100,000 loan at 5% annual interest for 30 years:
- Principal:
P = $100,000 - Monthly rate:
r = 5% / 12 = 0.4167% - Number of payments:
n = 30 × 12 = 360 - Monthly payment:
M = $536.82
Monthly Payment: $536.82
Total paid over 30 years: $193,255.20
Key Points to Remember
Interest Rate Impact
Higher rates = higher payments
Loan Term Trade-off
Longer term = lower payment, more interest
Payment Structure
Early payments = mostly interest
Related Standards
- Eurocode 1: Actions on structures
European standard for determining actions on structures, including loads and impacts.