Free Repayment Calculator. Calculate loan payments and debt payoff timelines with 8 compounding intervals, 8 payment frequencies, fixed term vs. fixed payment modes, extra payments, and bi-weekly accelerators.
| Period | Starting Balance | Installment Payment | Principal Paid | Interest Paid | Ending Balance |
|---|---|---|---|---|---|
| Period 1 | $10,000.00 | $212.47 | $129.14 | $83.33 | $9,870.86 |
| Period 2 | $9,870.86 | $212.47 | $130.21 | $82.26 | $9,740.65 |
| Period 3 | $9,740.65 | $212.47 | $131.30 | $81.17 | $9,609.35 |
| Period 4 | $9,609.35 | $212.47 | $132.39 | $80.08 | $9,476.96 |
| Period 5 | $9,476.96 | $212.47 | $133.50 | $78.97 | $9,343.46 |
| Period 6 | $9,343.46 | $212.47 | $134.61 | $77.86 | $9,208.85 |
| Period 7 | $9,208.85 | $212.47 | $135.73 | $76.74 | $9,073.12 |
| Period 8 | $9,073.12 | $212.47 | $136.86 | $75.61 | $8,936.26 |
| Period 9 | $8,936.26 | $212.47 | $138.00 | $74.47 | $8,798.26 |
| Period 10 | $8,798.26 | $212.47 | $139.15 | $73.32 | $8,659.11 |
| Period 11 | $8,659.11 | $212.47 | $140.31 | $72.16 | $8,518.80 |
| Period 12 | $8,518.80 | $212.47 | $141.48 | $70.99 | $8,377.32 |
A Loan Repayment Schedule (or amortization plan) is a structured financial mechanism that dictates how a borrowed principal balance, subject to periodic compound interest, is systematically retired over time through regular installments.
Every loan payment is mathematically partitioned into two components: accrued interest (the lender's finance charge) and principal reduction (the equity portion that permanently lowers the remaining debt balance). Whether you are managing personal loans, mortgages, auto financing, or credit card balances, understanding the interaction between compounding intervals, payment frequencies, and extra principal prepayments empowers you to achieve debt freedom years ahead of schedule.
Lock in a target duration (e.g., 5 or 30 years) to solve for the exact required periodic installment.
Set your monthly budget to solve logarithmically for the exact payoff date and total interest saved.
Execute 26 half-payments annually (13 full payments) to shave 4 to 8 years off long-term mortgages.
The core mathematical principle of loan amortization governs how periodic interest interacts with payment frequency:
The table below illustrates the mathematical trade-off between monthly installment amount and cumulative interest across a $50,000 loan at 8.0% interest:
| Loan Term | Monthly Payment ($) | Total Repaid ($) | Total Interest Paid ($) | Interest-to-Principal Ratio |
|---|---|---|---|---|
| 3 Years (36 Mos) | $1,566.82 | $56,405.52 | $6,405.52 | 12.8% |
| 5 Years (60 Mos) | $1,013.82 | $60,829.18 | $10,829.18 | 21.7% |
| 10 Years (120 Mos) | $606.64 | $72,796.56 | $22,796.56 | 45.6% |
| 15 Years (180 Mos) | $477.83 | $86,008.67 | $36,008.67 | 72.0% |
| 30 Years (360 Mos) | $366.88 | $132,077.58 | $82,077.58 | 164.2% |
Selecting a fixed payment lower than the periodic interest charge ($PMT \leq P \times i$) causes unpaid interest to capitalize, driving debt upward indefinitely.
Regular bi-weekly (Annual payment ÷ 26) saves zero time. Accelerated bi-weekly (Monthly payment ÷ 2) creates the crucial 13th full payment per year.
Because credit card minimums decline as the balance falls, paying only the minimum stretches payoff over 20+ years and doubles total interest paid.
A 30-year loan lowers monthly cash flow requirements but increases cumulative interest by 100%–200% compared to a 15-year term.
Homeowners model $100–$250/mo extra principal curtailments or accelerated bi-weekly schedules to pay off 30-year mortgages in 22–24 years.
Borrowers calculate exact payoff dates when adding lump-sum tax refunds directly to principal, eliminating negative vehicle equity.
Consumers compare rolling multiple high-APR credit cards into a single lower-rate personal loan to establish a fixed debt-free date.