Loan Amortization Calculator

Our Loan Amortization Calculator creates a detailed payment-by-payment schedule. See exactly how much of each payment goes to **principal vs. interest** and track your **remaining loan balance** over time.

Enter Your Loan Details

Calculate the monthly payment and schedule.

Monthly Payment (P&I)

$0

Total Interest (Full Loan): $0
Total Payments (Full Loan): $0
Remaining Balance: $0

Full Amortization Schedule

Payment # Principal Paid Interest Paid Remaining Balance

Enter your loan details above to generate the full payment schedule. Schedule shows up to 360 payments.

What is a Loan Amortization Calculator?

A **Loan Amortization Calculator** is a powerful tool that demystifies your loan. It does two key things: first, it calculates your fixed monthly payment. Second, it generates a complete **amortization schedule**, which is a detailed, payment-by-payment table showing exactly how your money is split between **principal** (the money you actually borrowed) and **interest** (the cost of borrowing). This schedule lets you see your **remaining loan balance** after any payment, making it a perfect **loan payoff calculator**.

What is the Formula for an Amortization Schedule?

The calculator first finds your monthly payment (EMI) and then applies it month by month to the loan balance. The formulas are:

1. Monthly Payment (EMI) Formula

EMI = P × [ r(1 + r)n ] / [ (1 + r)n - 1 ]

  • P = Principal Loan Amount
  • r = Monthly Interest Rate (Annual Rate / 12)
  • n = Total Number of Payments (Loan Term in Years × 12)

2. How the Schedule is Calculated (Per Payment)

For each payment, the math is simple:

  1. Interest Paid = Remaining Balance × Monthly Interest Rate (r)
  2. Principal Paid = Monthly Payment (EMI) - Interest Paid
  3. New Remaining Balance = Old Remaining Balance - Principal Paid

This process is repeated until the remaining balance reaches $0.

Solved Example

Let's use the default values to see how the first payment is calculated:

  • Loan Amount (P): $200,000
  • Annual Interest Rate: 6.0% (Monthly Rate 'r' = 0.005)
  • Loan Term: 30 years (360 payments)

Calculation Steps:

1. Calculate Monthly Payment (EMI):
EMI = $200,000 × [ 0.005(1 + 0.005)360 ] / [ (1 + 0.005)360 - 1 ] = $1,199.10

2. Calculate Payment #1 Breakdown:
Interest Paid = $200,000 (Balance) × 0.005 (Rate) = $1,000.00
Principal Paid = $1,199.10 (EMI) - $1,000.00 (Interest) = $199.10

3. Calculate New Remaining Balance:
New Balance = $200,000 - $199.10 = $199,800.90

For Payment #2, the interest is calculated on the new, lower balance of $199,800.90. This is why the interest portion slowly drops and the principal portion rises with every payment you make.

Use Cases / Practical Applications

An **amortization schedule calculator** is essential for any borrower. You can use it to:

  • Understand Your Mortgage: See why your mortgage balance goes down so slowly in the first few years (it's all interest!).
  • Find Your Payoff Amount: Enter the number of "Payments Already Made" to instantly find your **remaining loan balance** for a sale or refinance.
  • Plan Extra Payments: This is the most powerful use. By making extra principal payments, you can skip ahead on the schedule, cut years off your loan, and save thousands in interest.
  • Verify Loan Documents: Check that the payment schedule from your bank matches the mathematical calculation.

Frequently Asked Questions (FAQ)

1. What is the difference between principal and interest?

The **Principal** is the actual amount of money you borrowed. The **Interest** is the fee the bank charges you for borrowing that money. Your payment is a combination of both.

2. Does this calculator include taxes and insurance (PITI)?

No. This is a simple **principal and interest (P&I)** calculator. Your total mortgage payment (often called PITI) will also include property taxes, homeowner's insurance, and possibly PMI. For a PITI calculator, please use our full Mortgage Calculator.

3. How can I pay off my loan faster?

The best way is to make extra payments designated "to principal only." This reduces your **remaining loan balance** directly, which means less of your next payment goes to interest. You can also refinance to a shorter term (like 15 years) or a lower interest rate.

Understanding your loan's amortization is the key to getting out of debt. To see how much you can afford, try our Loan Affordability Calculator or compare payments with the basic Loan EMI Calculator.

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