Loan Calculator
Calculate amortized loans, deferred lump-sum loans, and zero-coupon bond values.
Calculate periodic payments for a fixed-rate amortizing loan.
Result
- Principal
- Interest
The payment is $1,110.21 with payments made monthly, not necessarily monthly. Total modeled interest is $33,224.60; fees, taxes and insurance are not included.
Calculation details
Scroll horizontally or vertically to see more. Download CSV for the complete schedule.
| Period | Payment | Interest | Principal | Balance |
|---|---|---|---|---|
| 1 | 1,110.21 | 500 | 610.21 | 99,389.79 |
| 2 | 1,110.21 | 496.95 | 613.26 | 98,776.54 |
| 3 | 1,110.21 | 493.88 | 616.32 | 98,160.22 |
| 4 | 1,110.21 | 490.80 | 619.40 | 97,540.81 |
| 5 | 1,110.21 | 487.70 | 622.50 | 96,918.31 |
| 6 | 1,110.21 | 484.59 | 625.61 | 96,292.70 |
| 7 | 1,110.21 | 481.46 | 628.74 | 95,663.96 |
| 8 | 1,110.21 | 478.32 | 631.89 | 95,032.07 |
| 9 | 1,110.21 | 475.16 | 635.04 | 94,397.03 |
| 10 | 1,110.21 | 471.99 | 638.22 | 93,758.81 |
| 11 | 1,110.21 | 468.79 | 641.41 | 93,117.40 |
| 12 | 1,110.21 | 465.59 | 644.62 | 92,472.78 |
| 13 | 1,110.21 | 462.36 | 647.84 | 91,824.94 |
| 14 | 1,110.21 | 459.12 | 651.08 | 91,173.86 |
| 15 | 1,110.21 | 455.87 | 654.34 | 90,519.52 |
| 16 | 1,110.21 | 452.60 | 657.61 | 89,861.91 |
| 17 | 1,110.21 | 449.31 | 660.90 | 89,201.02 |
| 18 | 1,110.21 | 446.01 | 664.20 | 88,536.82 |
| 19 | 1,110.21 | 442.68 | 667.52 | 87,869.30 |
| 20 | 1,110.21 | 439.35 | 670.86 | 87,198.44 |
| 21 | 1,110.21 | 435.99 | 674.21 | 86,524.23 |
| 22 | 1,110.21 | 432.62 | 677.58 | 85,846.64 |
| 23 | 1,110.21 | 429.23 | 680.97 | 85,165.67 |
| 24 | 1,110.21 | 425.83 | 684.38 | 84,481.29 |
| 25 | 1,110.21 | 422.41 | 687.80 | 83,793.49 |
| 26 | 1,110.21 | 418.97 | 691.24 | 83,102.26 |
| 27 | 1,110.21 | 415.51 | 694.69 | 82,407.56 |
| 28 | 1,110.21 | 412.04 | 698.17 | 81,709.40 |
| 29 | 1,110.21 | 408.55 | 701.66 | 81,007.74 |
| 30 | 1,110.21 | 405.04 | 705.17 | 80,302.57 |
| 31 | 1,110.21 | 401.51 | 708.69 | 79,593.88 |
| 32 | 1,110.21 | 397.97 | 712.24 | 78,881.64 |
| 33 | 1,110.21 | 394.41 | 715.80 | 78,165.85 |
| 34 | 1,110.21 | 390.83 | 719.38 | 77,446.47 |
| 35 | 1,110.21 | 387.23 | 722.97 | 76,723.50 |
| 36 | 1,110.21 | 383.62 | 726.59 | 75,996.91 |
How to use this calculator
Calculate periodic payments for a fixed-rate amortizing loan. Enter amounts in the units shown, select the applicable options, and click Calculate. Use Reset to restore the starting values.
Calculation formula
Payment = P × i/(1−(1+i)^−N). Compound frequency and payment frequency are independent.
Assumptions and accuracy
Review timing, rates, fees and result notes when comparing scenarios. Future returns and rates are assumptions rather than guaranteed outcomes. Monetary display follows the currency’s precision; intermediate calculations retain additional digits.
Choose what to calculate
Loan calculator with different compounding frequencies
Calculate fixed loan payments with separate compounding and payment frequencies. Deferred-payment and zero-coupon present-value modes are also available.
Open this calculationUnderstanding this calculation
An amortizing loan has a regular payment that covers interest on the outstanding balance and repays principal. The payment depends on the amount borrowed, periodic rate and number of payments.
Worked examples
A 100,000 loan at 6% over 30 years
Principal $100,000; 30 years; 6% nominal annual rate; monthly compounding and payments.
- Monthly rate = 0.06 ÷ 12 = 0.005.
- Number of payments = 30 × 12 = 360.
- Payment = 100000 × 0.005 ÷ (1 − 1.005^(−360)).
The regular monthly payment is $599.55 before fees or insurance.
Try these inputsCommon questions
What happens at zero interest?
Without interest or fees, each regular payment is principal divided by the number of payments. A $12,000 loan over 12 monthly payments is $1,000 per month.
Why is the final payment sometimes smaller?
The schedule caps the last payment at the outstanding principal plus that period’s interest, including when extra payments shorten the loan.
Scope and assumptions
The amortized-loan example excludes fees, insurance and extra payments. Select matching payment and compounding frequencies; a quoted interest rate is not necessarily an all-in APR.
Sources
Calculation notes checked . Examples are mathematical checks under the stated assumptions.
Calculation methods and formulas
Amortized Loan
Calculate periodic payments for a fixed-rate amortizing loan.
Payment = P × i/(1−(1+i)^−N). Compound frequency and payment frequency are independent.
Deferred Payment Loan
Calculate a single repayment at maturity with no intervening payments.
Maturity value = principal × (1+r/m)^(m×years).
Bond Present Value
Discount a zero-coupon bond’s maturity value to present value.
Present value = face value/(1+r/m)^(m×years).
See our calculation methodology and review status for data versions, rounding and validation limitations.