Payment Calculator
Calculate your exact monthly loan payment or solve for the time required to pay off debt with fixed monthly installments. Includes interactive principal versus interest breakdowns and complete amortization schedules.
Calculation Summary
Financial Disclaimer: This tool provides mathematical estimates for informational and planning purposes only. It does not constitute formal financial, investment, lending, or tax advice. Consult a qualified financial advisor or licensed professional before making major financial commitments.
Amortization Schedule
Detailed breakdown of principal balance reduction and total interest paid over time.
| Year | Principal Paid | Interest Paid | Total Interest | Remaining Balance |
|---|---|---|---|---|
| Year 1 | $8,483 | $11,769 | $11,769 | $191,517 |
| Year 2 | $9,007 | $11,246 | $23,015 | $182,510 |
| Year 3 | $9,562 | $10,690 | $33,706 | $172,948 |
| Year 4 | $10,152 | $10,101 | $43,806 | $162,796 |
| Year 5 | $10,778 | $9,475 | $53,281 | $152,018 |
| Year 6 | $11,443 | $8,810 | $62,091 | $140,575 |
| Year 7 | $12,149 | $8,104 | $70,195 | $128,427 |
| Year 8 | $12,898 | $7,355 | $77,550 | $115,529 |
| Year 9 | $13,693 | $6,559 | $84,109 | $101,836 |
| Year 10 | $14,538 | $5,715 | $89,824 | $87,298 |
| Year 11 | $15,435 | $4,818 | $94,642 | $71,863 |
| Year 12 | $16,387 | $3,866 | $98,508 | $55,477 |
| Year 13 | $17,397 | $2,855 | $101,363 | $38,080 |
| Year 14 | $18,470 | $1,782 | $103,145 | $19,609 |
| Year 15 | $19,609 | $643 | $103,788 | $0 |
How Loan Payments Are Calculated
Whether you are financing a home, purchasing a vehicle, or managing personal borrowing, loan payments are structured around amortization. Under a fixed-rate loan, every installment contains two components: interest paid to the lender for borrowing capital, and principal applied to diminish the outstanding balance.
At the start of your loan, the majority of your payment covers interest because the outstanding principal balance is at its peak. Over time, as regular payments reduce the principal, the monthly interest portion decreases and the equity-building principal portion accelerates.
Worked Step-by-Step Example
Suppose you borrow $200,000 at a 6.0% annual interest rate over a 15-year term (180 months):
- Monthly Interest Rate (r):
6.0% ÷ 12 = 0.5% = 0.005 - Compounding Factor (1 + r)180:
(1.005)180 ≈ 2.45409 - Numerator:
$200,000 × 0.005 × 2.45409 = $2,454.09 - Denominator:
2.45409 − 1 = 1.45409 - Monthly Payment (P):
$2,454.09 ÷ 1.45409 =$1,687.71 - Total Paid Over 15 Years:
$1,687.71 × 180 = $303,788.46($103,788.46 in interest)
Fixed Term vs. Fixed Payment Planning
| Strategy | Primary Question Solved | Best Used When |
|---|---|---|
| Fixed Term | “What will my monthly payment be for an X-year loan?” | Budgeting for a new mortgage, auto loan, or personal loan before signing contract terms. |
| Fixed Payment | “How quickly will I become debt-free if I pay $X per month?” | Accelerating debt payoff, credit card consolidation, or planning extra monthly principal payments. |
Frequently Asked Questions
A fixed-rate monthly loan payment is calculated using the standard annuity amortization formula: P = [L × r × (1 + r)^n] / [(1 + r)^n − 1], where L is the loan amount, r is the monthly interest rate (annual APR divided by 12), and n is the total number of monthly payments.