FINANCIAL UTILITY
Loan Calculator
Simulate interest costs and monthly payments in real-time. Review amortization schedules to optimize your borrowing plan.
Please enter a valid loan amount.
Enter an annual rate between 0.1% and 50%.
Enter a term between 1 and 50 years.
Enter grace period in months (0 if none).
| Month | Payment | Principal | Interest | Balance |
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Understanding Loan Repayment Methods
Questions Answered by This Calculator
- Which amortization method minimizes total interest expenses?
- What is the monthly payment on a $100,000 mortgage at 4% for 10 years?
- How does extending the loan term affect monthly obligations and cumulative interest?
Comparison of Repayment Options
1. Equal Payment (Principal + Interest Amortization)
Also known as the standard level payment method. The borrower pays a fixed monthly sum throughout the loan term. Initially, most of the payment covers interest, but over time, more goes toward the principal.
Formula: Monthly Payment \( = P \times \frac{r(1+r)^n}{(1+r)^n - 1} \) (where \( P \) is principal, \( r \) is monthly interest rate, and \( n \) is number of months)
2. Equal Principal Repayment
The borrower pays a fixed amount of principal monthly, plus interest calculated on the outstanding balance. Monthly payments decrease steadily, and this method incurs the lowest total interest cost overall.
3. Interest-Only (Bullet Loan)
The borrower pays only interest every month, and pays back the entire principal lump sum on the final month. This results in very low initial cash outflow but maximum overall interest cost.
Standard Amortization Examples
Example 1 (Level Amortization):
For a $100,000 loan at a 4.0% fixed rate over 10 years:
The borrower pays $1,012.45 monthly, resulting in a total interest expense of $21,494.17 over the decade.
Example 2 (Equal Principal):
For a $100,000 loan at a 4.0% fixed rate over 10 years:
The first payment is $1,166.67 (principal $833.33 + interest $333.33). Payments decrease by $2.78 each subsequent month, yielding a total interest expense of $20,166.67.
Frequently Asked Questions (FAQ)
Which loan repayment plan is best for me?
If you want to minimize your interest expenses, choose Equal Principal. If you prefer predictable, level household expenses, Equal Payment is the standard and safest option.
Does this calculator include prepayment fees?
No, this simulator follows standard compound amortization equations. In reality, bank contracts may penalize prepayments made within 3 years of disbursement (usually 0.5% - 1.5%).
What is the difference between fixed and variable rates?
This calculator assumes a fixed interest rate. Variable rates adjust periodically based on market indices (e.g. SOFR, Prime Rate), meaning monthly payments will fluctuate.