Calculate monthly payments, total interest, and view detailed amortization schedules for any loan
M = P × [r(1+r)^n] / [(1+r)^n – 1]
M = Monthly payment
P = Principal loan amount
r = Monthly interest rate (annual rate ÷ 12)
n = Total number of payments (years × 12)
This formula calculates a fixed monthly payment that covers both principal and interest, ensuring the loan is fully paid off by the end of the term. Early payments consist mostly of interest, while later payments pay down more principal.
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Monthly loan payment is calculated using the formula: M = P × [r(1+r)^n] / [(1+r)^n – 1], where M is the monthly payment, P is the principal loan amount, r is the monthly interest rate (annual rate ÷ 12), and n is the total number of payments (years × 12). This formula accounts for both principal and interest.
An amortization schedule is a detailed table showing each loan payment over time, breaking down how much goes toward principal versus interest. Early in the loan, most of the payment goes to interest. As time progresses, more goes toward principal. This schedule helps you understand the total cost of your loan and how your balance decreases over time.
You can lower your monthly payment by: 1) Extending the loan term (though this increases total interest paid), 2) Making a larger down payment to reduce the principal, 3) Negotiating a lower interest rate, 4) Improving your credit score before applying, or 5) Shopping around for better loan offers from different lenders.
A fixed interest rate stays the same throughout the loan term, making your monthly payments predictable. A variable (or adjustable) rate can change based on market conditions, which means your monthly payment can increase or decrease over time. Fixed rates offer stability, while variable rates may offer lower initial rates but carry more risk.
Making extra payments can significantly reduce the total interest you pay and shorten your loan term. Even small extra payments applied directly to principal can save thousands in interest over the loan's life. However, ensure your loan doesn't have prepayment penalties and that you're not sacrificing other financial priorities like emergency savings or high-interest debt.
Shorter loan terms (like 15 years) have higher monthly payments but significantly lower total interest costs. Longer terms (like 30 years) have lower monthly payments but you'll pay much more in interest over time. For example, a 30-year mortgage typically costs nearly double the total interest of a 15-year mortgage at the same rate.
This calculator works for any fixed-rate, fully amortizing loan including: mortgages (home loans), auto loans, personal loans, student loans, business loans, and equipment financing. It's designed for traditional installment loans where you make regular payments until the loan is paid off.
This is due to how amortization works. Interest is calculated on the outstanding balance. Early in the loan, the balance is highest, so more interest accrues. As you pay down the principal, the balance decreases, meaning less interest accrues each month, allowing more of your payment to go toward principal. This is normal for all amortizing loans.
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