Money

Payment calculator

Calculate a fixed loan payment or find the payoff time for a fixed monthly payment with Numorix.

CALCULATOR

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Instant results

TERM TO PAYMENT

Loan amount

Loan term

years

Interest rate

MONTHLY PAYMENT$1,687.71Pay off in 180 months

Total of 180 payments$303,788.46

Total interest$103,788.46

PAYOFF PATH

Balance over time

Balance

0.08333333333333333

View amortization schedule ＋

Month	Interest	Principal	Ending balance
1	$1,000.00	$687.71	$199,312.29
2	$996.56	$691.15	$198,621.13
3	$993.11	$694.61	$197,926.53
4	$989.63	$698.08	$197,228.45
5	$986.14	$701.57	$196,526.87
6	$982.63	$705.08	$195,821.79
7	$979.11	$708.60	$195,113.19
8	$975.57	$712.15	$194,401.04
9	$972.01	$715.71	$193,685.33
10	$968.43	$719.29	$192,966.05
11	$964.83	$722.88	$192,243.16
12	$961.22	$726.50	$191,516.67
13	$957.58	$730.13	$190,786.53
14	$953.93	$733.78	$190,052.75
15	$950.26	$737.45	$189,315.30
16	$946.58	$741.14	$188,574.17
17	$942.87	$744.84	$187,829.32
18	$939.15	$748.57	$187,080.76
19	$935.40	$752.31	$186,328.45
20	$931.64	$756.07	$185,572.38
21	$927.86	$759.85	$184,812.52
22	$924.06	$763.65	$184,048.87
23	$920.24	$767.47	$183,281.40
24	$916.41	$771.31	$182,510.10
25	$912.55	$775.16	$181,734.93
26	$908.67	$779.04	$180,955.89
27	$904.78	$782.93	$180,172.96
28	$900.86	$786.85	$179,386.11
29	$896.93	$790.78	$178,595.33
30	$892.98	$794.74	$177,800.59
31	$889.00	$798.71	$177,001.88
32	$885.01	$802.70	$176,199.18
33	$881.00	$806.72	$175,392.46
34	$876.96	$810.75	$174,581.71
35	$872.91	$814.81	$173,766.90
36	$868.83	$818.88	$172,948.02
37	$864.74	$822.97	$172,125.05
38	$860.63	$827.09	$171,297.96
39	$856.49	$831.22	$170,466.74
40	$852.33	$835.38	$169,631.36
41	$848.16	$839.56	$168,791.80
42	$843.96	$843.75	$167,948.05
43	$839.74	$847.97	$167,100.07
44	$835.50	$852.21	$166,247.86
45	$831.24	$856.47	$165,391.39
46	$826.96	$860.76	$164,530.63
47	$822.65	$865.06	$163,665.57
48	$818.33	$869.39	$162,796.18
49	$813.98	$873.73	$161,922.45
50	$809.61	$878.10	$161,044.35
51	$805.22	$882.49	$160,161.86
52	$800.81	$886.90	$159,274.95
53	$796.37	$891.34	$158,383.61
54	$791.92	$895.80	$157,487.82
55	$787.44	$900.27	$156,587.54
56	$782.94	$904.78	$155,682.77
57	$778.41	$909.30	$154,773.47
58	$773.87	$913.85	$153,859.62
59	$769.30	$918.42	$152,941.20
60	$764.71	$923.01	$152,018.20
61	$760.09	$927.62	$151,090.57
62	$755.45	$932.26	$150,158.31
63	$750.79	$936.92	$149,221.39
64	$746.11	$941.61	$148,279.78
65	$741.40	$946.31	$147,333.47
66	$736.67	$951.05	$146,382.42
67	$731.91	$955.80	$145,426.62
68	$727.13	$960.58	$144,466.04
69	$722.33	$965.38	$143,500.66
70	$717.50	$970.21	$142,530.45
71	$712.65	$975.06	$141,555.39
72	$707.78	$979.94	$140,575.45
73	$702.88	$984.84	$139,590.61
74	$697.95	$989.76	$138,600.85
75	$693.00	$994.71	$137,606.14
76	$688.03	$999.68	$136,606.46
77	$683.03	$1,004.68	$135,601.78
78	$678.01	$1,009.70	$134,592.07
79	$672.96	$1,014.75	$133,577.32
80	$667.89	$1,019.83	$132,557.49
81	$662.79	$1,024.93	$131,532.57
82	$657.66	$1,030.05	$130,502.52
83	$652.51	$1,035.20	$129,467.32
84	$647.34	$1,040.38	$128,426.94
85	$642.13	$1,045.58	$127,381.36
86	$636.91	$1,050.81	$126,330.55
87	$631.65	$1,056.06	$125,274.49
88	$626.37	$1,061.34	$124,213.15
89	$621.07	$1,066.65	$123,146.50
90	$615.73	$1,071.98	$122,074.52
91	$610.37	$1,077.34	$120,997.18
92	$604.99	$1,082.73	$119,914.45
93	$599.57	$1,088.14	$118,826.31
94	$594.13	$1,093.58	$117,732.73
95	$588.66	$1,099.05	$116,633.68
96	$583.17	$1,104.55	$115,529.13
97	$577.65	$1,110.07	$114,419.07
98	$572.10	$1,115.62	$113,303.45
99	$566.52	$1,121.20	$112,182.25
100	$560.91	$1,126.80	$111,055.45
101	$555.28	$1,132.44	$109,923.01
102	$549.62	$1,138.10	$108,784.91
103	$543.92	$1,143.79	$107,641.13
104	$538.21	$1,149.51	$106,491.62
105	$532.46	$1,155.26	$105,336.36
106	$526.68	$1,161.03	$104,175.33
107	$520.88	$1,166.84	$103,008.49
108	$515.04	$1,172.67	$101,835.82
109	$509.18	$1,178.53	$100,657.29
110	$503.29	$1,184.43	$99,472.86
111	$497.36	$1,190.35	$98,282.51
112	$491.41	$1,196.30	$97,086.21
113	$485.43	$1,202.28	$95,883.93
114	$479.42	$1,208.29	$94,675.63
115	$473.38	$1,214.34	$93,461.30
116	$467.31	$1,220.41	$92,240.89
117	$461.20	$1,226.51	$91,014.38
118	$455.07	$1,232.64	$89,781.74
119	$448.91	$1,238.80	$88,542.93
120	$442.71	$1,245.00	$87,297.94
121	$436.49	$1,251.22	$86,046.71
122	$430.23	$1,257.48	$84,789.23
123	$423.95	$1,263.77	$83,525.46
124	$417.63	$1,270.09	$82,255.38
125	$411.28	$1,276.44	$80,978.94
126	$404.89	$1,282.82	$79,696.12
127	$398.48	$1,289.23	$78,406.89
128	$392.03	$1,295.68	$77,111.21
129	$385.56	$1,302.16	$75,809.05
130	$379.05	$1,308.67	$74,500.38
131	$372.50	$1,315.21	$73,185.17
132	$365.93	$1,321.79	$71,863.38
133	$359.32	$1,328.40	$70,534.99
134	$352.67	$1,335.04	$69,199.95
135	$346.00	$1,341.71	$67,858.23
136	$339.29	$1,348.42	$66,509.81
137	$332.55	$1,355.16	$65,154.65
138	$325.77	$1,361.94	$63,792.71
139	$318.96	$1,368.75	$62,423.96
140	$312.12	$1,375.59	$61,048.36
141	$305.24	$1,382.47	$59,665.89
142	$298.33	$1,389.38	$58,276.51
143	$291.38	$1,396.33	$56,880.18
144	$284.40	$1,403.31	$55,476.86
145	$277.38	$1,410.33	$54,066.53
146	$270.33	$1,417.38	$52,649.15
147	$263.25	$1,424.47	$51,224.68
148	$256.12	$1,431.59	$49,793.09
149	$248.97	$1,438.75	$48,354.35
150	$241.77	$1,445.94	$46,908.40
151	$234.54	$1,453.17	$45,455.23
152	$227.28	$1,460.44	$43,994.80
153	$219.97	$1,467.74	$42,527.06
154	$212.64	$1,475.08	$41,051.98
155	$205.26	$1,482.45	$39,569.52
156	$197.85	$1,489.87	$38,079.66
157	$190.40	$1,497.32	$36,582.34
158	$182.91	$1,504.80	$35,077.54
159	$175.39	$1,512.33	$33,565.21
160	$167.83	$1,519.89	$32,045.33
161	$160.23	$1,527.49	$30,517.84
162	$152.59	$1,535.12	$28,982.72
163	$144.91	$1,542.80	$27,439.92
164	$137.20	$1,550.51	$25,889.40
165	$129.45	$1,558.27	$24,331.13
166	$121.66	$1,566.06	$22,765.08
167	$113.83	$1,573.89	$21,191.19
168	$105.96	$1,581.76	$19,609.43
169	$98.05	$1,589.67	$18,019.76
170	$90.10	$1,597.61	$16,422.15
171	$82.11	$1,605.60	$14,816.55
172	$74.08	$1,613.63	$13,202.92
173	$66.01	$1,621.70	$11,581.22
174	$57.91	$1,629.81	$9,951.41
175	$49.76	$1,637.96	$8,313.45
176	$41.57	$1,646.15	$6,667.31
177	$33.34	$1,654.38	$5,012.93
178	$25.06	$1,662.65	$3,350.28
179	$16.75	$1,670.96	$1,679.32
180	$8.40	$1,679.32	$0.00

THE NUMORIX GUIDE

How to use the Payment calculator

Last reviewed September 14, 2026

What this calculator does

Fixed-term mode uses the monthly installment formula with amount, annual rate divided by 12, and years multiplied by 12.

Formula and method

Fixed-term mode uses the monthly installment formula with amount, annual rate divided by 12, and years multiplied by 12. Fixed-payment mode instead solves n = -ln(1 - Lr/P) / ln(1+r), where L is balance, r is monthly rate, and P is payment. The engine rejects a positive-rate payment that does not exceed the first month's interest, then builds a month-by-month principal and interest schedule.

Variables and inputs

Enter loan amount, loan term in years, monthly payment when using fixed payments, and annual interest rate. The fixed-term tab solves the monthly payment; the fixed-payments tab solves the number of months. Currency is dollars, term is years, and the schedule is monthly.

Worked example

For $20,000 at 5% over 5 years, r = 0.05 / 12 and n = 60. The fixed-term payment is 20000 x r x (1+r)^60 / ((1+r)^60 - 1) = about $377.42. Total scheduled payments are about 60 x 377.42 = $22,645, or roughly $2,645 of interest.

How to interpret the result

The result answers either how much a regular monthly payment would be or how long a chosen payment would take. A higher payment normally reduces both months and interest. The schedule's first interest row is a useful check that the payment is actually reducing principal.

Common mistakes to avoid

Use the annual rate in percent, not a decimal such as 0.05. Do not compare a fixed-term payment with a fixed-payment payoff time while changing the rate or balance. If the result says the payment is too low, increasing the term alone cannot fix a payment that fails to cover monthly interest.

Assumptions and limitations

This is a regular monthly installment model. It excludes fees, variable rates, payment holidays, irregular extra payments, daily interest, and lender rounding rules. The final lender schedule may differ by a few cents or more when the contract uses different timing.

Sources and references

COMMON QUESTIONS

Frequently asked questions

What does payment too low mean?

At a positive rate, the entered payment is no greater than the balance times the monthly rate. Interest would consume the payment, so the balance would not decline under that scenario.

Why does a longer term reduce the payment?

The same balance is spread across more monthly payments. Because interest is charged for more periods, the total interest usually rises even though each payment falls.

Why is the first payment mostly interest?

Interest is calculated from the opening balance. Early in an amortizing loan that balance is largest, so the interest portion is largest before principal payments reduce it.

FROM THE NUMORIX GUIDES

Learn more before you decide

Loan Payment Versus Total Borrowing Cost