Payment Calculator

Calculate payments for a fixed repayment term or the payoff time for a chosen installment.

Solve a repayment installment or the time needed to repay a balance.

$
%
years
months

Result

Payment per period$386.66
Total interest$3,199.36
Total payments$23,199.36
Number of payments60
  • Principal
  • Interest

Calculation details

Scroll horizontally or vertically to see more. Download CSV for the complete schedule.

PeriodPaymentInterestPrincipalBalance
1386.66100286.6619,713.34
2386.6698.57288.0919,425.25
3386.6697.13289.5319,135.72
4386.6695.68290.9818,844.75
5386.6694.22292.4318,552.32
6386.6692.76293.8918,258.42
7386.6691.29295.3617,963.06
8386.6689.82296.8417,666.22
9386.6688.33298.3217,367.89
10386.6686.84299.8217,068.07
11386.6685.34301.3216,766.76
12386.6683.83302.8216,463.94
13386.6682.32304.3416,159.60
14386.6680.80305.8615,853.74
15386.6679.27307.3915,546.35
16386.6677.73308.9215,237.43
17386.6676.19310.4714,926.96
18386.6674.63312.0214,614.94
19386.6673.07313.5814,301.36
20386.6671.51315.1513,986.21
21386.6669.93316.7213,669.49
22386.6668.35318.3113,351.18
23386.6666.76319.9013,031.28
24386.6665.16321.5012,709.78
25386.6663.55323.1112,386.67
26386.6661.93324.7212,061.95
27386.6660.31326.3511,735.60
28386.6658.68327.9811,407.62
29386.6657.04329.6211,078.00
30386.6655.39331.2710,746.74
31386.6653.73332.9210,413.82
32386.6652.07334.5910,079.23
33386.6650.40336.269,742.97
34386.6648.71337.949,405.03
35386.6647.03339.639,065.40
36386.6645.33341.338,724.07

How to use this calculator

Solve a repayment installment or the time needed to repay a balance. Enter amounts in the units shown, select the applicable options, and click Calculate. Use Reset to restore the starting values.

Calculation formula

Fixed installment amortization; solve the payment count when the installment is supplied.

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 repayment time calculator from monthly payment

Find payoff time from a fixed payment, or calculate a payment for a chosen term. The last actual payment is limited to the outstanding balance plus interest.

Open this calculation

Understanding this calculation

Find a monthly installment for a loan term, or estimate how long repayment takes with a selected payment. Compare interest and payment count rather than looking at the installment alone.

Worked examples

Find a monthly payment at zero interest

Illustrative inputs are specified in the steps below; the example link loads the complete settings. Unmentioned settings use the linked defaults.

  1. Divide a 12,000 principal over 12 monthly payments: 1,000 each.

Payment per period: 1,000 USD.

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Monthly repayment with a 12% nominal annual rate

Principal 12,000 USD; 12 monthly payments; 12% nominal annual rate with monthly compounding. Fees and taxes are zero in this scenario.

  1. Monthly rate = 12% / 12 = 1%.
  2. Payment = 12000 × 0.01 / (1 − 1.01^(−12)).
  3. Check both the installment and the schedule; the final installment may be limited to the remaining balance.

Payment per period: 1066.19 USD.

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Common questions

Can I calculate the loan term from a monthly payment?

Yes, use the payment-supplied mode with principal and rate. Payments must be sufficient to reduce the balance.

Does a longer loan term lower total cost?

It can reduce installments while increasing total interest. Compare both amounts.

Scope and assumptions

The model assumes fixed-rate monthly repayment and no unentered fees. Balloon payments and variable rates need different treatment.

Sources

Calculation methods and formulas

Fixed Term

Solve a repayment installment or the time needed to repay a balance.

Fixed installment amortization; solve the payment count when the installment is supplied.

Fixed Payment

Solve a repayment installment or the time needed to repay a balance.

Fixed installment amortization; solve the payment count when the installment is supplied.

See our calculation methodology and review status for data versions, rounding and validation limitations.