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Loan Amortization Calculator

The Loan Amortization Calculator calculates the monthly payment for a loan and generates a

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How to Use This Tool

  1. Fill in Loan Principal, Annual Interest Rate, and Loan Term. Each control is labeled; you do not need to paste a JSON blob.
  2. Click "Calculate" to run the tool in your browser.
  3. Read the result below the form and copy it if you need it in another app.

Learn More About Loan Amortization Calculator

Understanding Loan Amortization

Loan amortization is the process of paying off a loan over time through regular payments. Each payment typically includes a portion of the principal (the original loan amount) and a portion of the interest (the cost of borrowing the money).

Loan Amortization Formula

The formula to calculate the monthly payment (M) is: M = P [ i(1 + i)^n ] / [ (1 + i)^n – 1 ] Where: P = Principal loan amount i = Monthly interest rate (annual rate / 12) n = Number of payments (loan term in years * 12)

Understanding the Amortization Schedule

The amortization schedule shows how each payment is allocated between principal and interest over the life of the loan. In the early years, a larger portion of the payment goes towards interest, and as the loan is paid down, a larger portion goes towards principal.

About

The Loan Amortization Calculator calculates the monthly payment for a loan and generates an amortization schedule, showing how each payment is allocated between principal and interest over the loan term.

Examples

Valid loan inputs

Principal, rate %, term months
Input
{
  "loan_amount": 200000,
  "interest_rate": 4.5,
  "loan_term": 30
}
Output
Month | Payment | Principal | Interest | Balance
------|---------|-----------|----------|--------
1 | 7061.18 | 6311.18 | 750.00 | 193688.82
2 | 7061.18 | 6334.84 | 726.33 | 187353.98
3 | 7061.18 | 6358.60 | 702.58 | 180995.38
4 | 7061.18 | 6382.44 | 678.73 | 174612.94
5 | 7061.18 | 6406.38 | 654.80 | 168206.56
6 | 7061.18 | 6430.40 | 630.77 | 161776.16
7 | 7061.18 | 6454.51 | 606.66 | 155321.65
8 | 7061.18 | 6478.72 | 582.46 | 148842.93
9 | 7061.18 | 6503.01 | 558.16 | 142339.91
10 | 7061.18 | 6527.40 | 533.77 | 135812.51
11 | 7061.18 | 6551.88 | 509.30 | 129260.64
12 | 7061.18 | 6576.45 | 484.73 | 122684.19
... (18 more months)

Total payment: $211835.26 | Total interest: $11835.26

Another valid loan input

Principal, rate %, term months
Input
{
  "loan_amount": 100000,
  "interest_rate": 6,
  "loan_term": 15
}
Output
Month | Payment | Principal | Interest | Balance
------|---------|-----------|----------|--------
1 | 6936.44 | 6436.44 | 500.00 | 93563.56
2 | 6936.44 | 6468.62 | 467.82 | 87094.95
3 | 6936.44 | 6500.96 | 435.47 | 80593.98
4 | 6936.44 | 6533.47 | 402.97 | 74060.52
5 | 6936.44 | 6566.13 | 370.30 | 67494.38
6 | 6936.44 | 6598.96 | 337.47 | 60895.42
7 | 6936.44 | 6631.96 | 304.48 | 54263.46
8 | 6936.44 | 6665.12 | 271.32 | 47598.34
9 | 6936.44 | 6698.44 | 237.99 | 40899.90
10 | 6936.44 | 6731.94 | 204.50 | 34167.96
11 | 6936.44 | 6765.60 | 170.84 | 27402.36
12 | 6936.44 | 6799.42 | 137.01 | 20602.94
... (3 more months)

Total payment: $104046.55 | Total interest: $4046.55

Use Cases

  • Calculating monthly payments for loans.
  • Understanding the breakdown of principal and interest payments.
  • Comparing different loan options.
  • Planning for loan repayment.

Frequently Asked Questions