Loan Amortization Calculator - With Extra Payments & Savings
Loan Amortization Calculator
Calculation Results
Amortization Schedule
| Month | Date | Payment | Interest | Principal | Ending Balance |
|---|
| Year | Date | Payment | Interest | Principal | Ending Balance |
|---|
Repayment Details Visualization
What Is the Payment on a $400,000 30-year Loan With 6% Interest?
A $400,000 30-year loan at 6% interest has a monthly payment of about $2,398.20.
| Annual Percentage Rate (APR) | Monthly payment(15-year) | Monthly payment(30-year) |
|---|---|---|
| 5% | $3,163.17 | $2,147.29 |
| 5.25% | $3,215.51 | $2,208.81 |
| 5.5% | $3,268.33 | $2,271.16 |
| 5.75% | $3,321.64 | $2,334.29 |
| 6% | $3,375.43 | $2,398.20 |
| 6.25% | $3,429.69 | $2,462.87 |
| 6.5% | $3,484.43 | $2,528.27 |
| 6.75% | $3,539.64 | $2,594.39 |
| 7% | $3,595.31 | $2,661.21 |
| 7.25% | $3,651.45 | $2,728.71 |
| 7.5% | $3,708.05 | $2,796.86 |
| 7.75% | $3,765.10 | $2,865.65 |
| 8% | $3,822.61 | $2,935.06 |
| 8.5% | $3,938.96 | $3,075.65 |
How Is Amortization Paid?
Amortization is paid through fixed periodic payments (usually monthly), where each payment covers the interest on the remaining loan balance plus a portion of the principal, gradually reducing the loan until it is fully repaid.
Is Amortization the Same as Monthly Payment?
No, amortization is the process of paying off a loan over time through regular payments, while the monthly payment is the actual amount you pay each month.
How Do You Calculate Amortization?
Amortization is calculated by determining how each loan payment is split between interest and principal over the loan term. You use the loan amount, interest rate, and payment schedule to create an amortization schedule showing this breakdown for each payment. The basic steps involve:
- Calculate the fixed monthly payment using the loan amortization formula.
- For each payment, calculate the interest portion (remaining loan balance × monthly interest rate).
- Subtract the interest from the payment to find the principal paid.
- Reduce the loan balance by the principal paid.
- Repeat for each month until the loan is paid off.
This creates a full amortization schedule detailing principal and interest portions for every payment.
What Happens If I Pay Two Extra Mortgage Payments a Year?
Paying two extra mortgage payments a year can significantly reduce your loan principal faster, shorten the loan term, and save you money on interest over time.
How Do Banks Calculate Amortization?
Amortization is calculated using the fixed payment formula
M = P × [r (1 + r)ⁿ] / [(1 + r)ⁿ - 1]
where (P) is the loan amount, (r) is the monthly interest rate, and (n) is the total number of payments, and each payment is then split into interest and principal to gradually repay the loan.
References
- Consumer Financial Protection Bureau - What is Amortization?
- U.S. Department of Treasury - Interest Rates and Debt Management
- Federal Reserve - Understanding Interest Rates
- FDIC Consumer Resources
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