Repayment Calculator
Calculate your loan repayment schedule with flexible compounding and payment frequencies. See how much you'll pay in interest, your total repayment amount, and view a complete amortization schedule.
Repayment Summary
Based on your loan terms and payment schedule
| # | Payment Date | Payment | Principal | Interest | Balance |
|---|
Understanding Loan Repayment
Understanding how loans work is essential for making informed financial decisions. This calculator helps you determine your payment schedule, total interest costs, and visualize how your debt decreases over time with each payment.
How This Calculator Works
The repayment calculator uses standard amortization formulas to determine your payment schedule. You can choose between:
- Fixed Term: Specify how long you want to repay the loan, and the calculator determines your payment amount
- Fixed Installment: Specify how much you want to pay, and the calculator determines how long it will take to pay off
The Loan Payment Formula
For a standard amortizing loan, the payment is calculated using this formula:
M = P × [r(1+r)n] / [(1+r)n - 1]
Where:
- M = Payment amount
- P = Principal (loan amount)
- r = Periodic interest rate (annual rate / number of payments per year)
- n = Total number of payments
Understanding Compound Frequency
Compound frequency determines how often interest is calculated and added to your balance. Common options include:
| Frequency | Periods/Year | Common Use |
|---|---|---|
| Annually | 1 | Some personal loans |
| Semi-Annually | 2 | Canadian mortgages |
| Quarterly | 4 | Some savings accounts |
| Monthly (APR) | 12 | Most US loans, credit cards |
| Daily | 365 | Some credit cards, savings |
| Continuously | ∞ | Theoretical maximum |
Note: More frequent compounding results in slightly higher total interest. For example, a 6% rate compounded monthly yields an effective annual rate of about 6.17%, while the same rate compounded daily yields about 6.18%.
Payment Frequency Options
Choosing how often you make payments can significantly impact your total interest and payoff timeline:
- Monthly: Standard 12 payments per year
- Biweekly: 26 payments per year (equivalent to 13 monthly payments)
- Weekly: 52 payments per year
- Semi-monthly: 24 payments per year (twice per month)
Strategies to Pay Off Loans Faster
- Make extra payments: Even small additional amounts reduce your principal faster
- Pay biweekly: Results in one extra monthly payment per year
- Round up payments: Pay $500 instead of $478.32
- Apply windfalls: Use tax refunds or bonuses toward the loan
- Refinance: If rates drop, consider refinancing to a lower rate
Types of Loans
Mortgages
Home loans typically span 15-30 years with relatively low interest rates since they're secured by property. Monthly payments include principal, interest, property taxes, and insurance (PITI).
Auto Loans
Car loans usually range from 36-72 months. Longer terms mean lower payments but more interest over time. Since cars depreciate, avoid loan terms longer than your expected ownership period.
Student Loans
Federal student loans offer fixed rates and flexible repayment plans. Private student loans may have variable rates and fewer protections. Federal loans have options like income-driven repayment and forgiveness programs.
Personal Loans
Unsecured loans for various purposes, typically 2-7 year terms. Rates depend heavily on credit score and can range from 6% to 36%.
Understanding Amortization
In an amortizing loan, each payment covers both interest and principal. Early payments are mostly interest, while later payments are mostly principal. This is because interest is calculated on the remaining balance, which decreases with each payment.
Example: On a $200,000 mortgage at 6% for 30 years, your first payment of $1,199.10 includes $1,000 in interest and only $199.10 toward principal. By payment 180 (year 15), about $569 goes to interest and $630 to principal.
Frequently Asked Questions
Q: Why does most of my early payment go to interest?
A: Interest is calculated on the outstanding balance. With a large balance early on, more of your payment goes to interest. As the balance decreases, more goes to principal.
Q: Should I pay off my loan early?
A: It depends on your interest rate, other financial goals, and whether there are prepayment penalties. Generally, paying off high-interest debt early saves money, while low-interest debt may be less urgent if you can invest the money at higher returns.
Q: What's the difference between APR and interest rate?
A: The interest rate is the cost of borrowing the principal. APR (Annual Percentage Rate) includes the interest rate plus fees, giving you a more complete picture of the loan's true cost.
Q: How does payment frequency affect total interest?
A: More frequent payments (like biweekly instead of monthly) reduce your average daily balance, slightly decreasing total interest. Biweekly payments also result in one extra monthly payment per year, which accelerates payoff.