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Equal Principal Visualize

Equal Principal Visualize

Repays the same principal each month; total payment declines as interest on the shrinking balance falls.

Results

Loan amount

$200,000.00

Fixed monthly principal

$555.56

First month payment

$1,555.56

Total interest

$180,500.00

Total payment

$380,500.00

Equal principal loan chart

050K100K150K200K0306090120150180210240270300330360
Remaining balanceCumulative interest

Month-by-month schedule

MonthInterest paidPrincipal paidRemaining balance
0$0.00$0.00$200,000.00
1$1,000.00$555.56$199,444.44
2$997.22$555.56$198,888.89
3$994.44$555.56$198,333.33
4$991.67$555.56$197,777.78
5$988.89$555.56$197,222.22
6$986.11$555.56$196,666.67
7$983.33$555.56$196,111.11
8$980.56$555.56$195,555.56
9$977.78$555.56$195,000.00
10$975.00$555.56$194,444.44
11$972.22$555.56$193,888.89
12$969.44$555.56$193,333.33
13$966.67$555.56$192,777.78
14$963.89$555.56$192,222.22
15$961.11$555.56$191,666.67
16$958.33$555.56$191,111.11
17$955.56$555.56$190,555.56
18$952.78$555.56$190,000.00
19$950.00$555.56$189,444.44
20$947.22$555.56$188,888.89
21$944.44$555.56$188,333.33
22$941.67$555.56$187,777.78
23$938.89$555.56$187,222.22
24$936.11$555.56$186,666.67
25$933.33$555.56$186,111.11
26$930.56$555.56$185,555.56
27$927.78$555.56$185,000.00
28$925.00$555.56$184,444.44
29$922.22$555.56$183,888.89
30$919.44$555.56$183,333.33
31$916.67$555.56$182,777.78
32$913.89$555.56$182,222.22
33$911.11$555.56$181,666.67
34$908.33$555.56$181,111.11
35$905.56$555.56$180,555.56
36$902.78$555.56$180,000.00
37$900.00$555.56$179,444.44
38$897.22$555.56$178,888.89
39$894.44$555.56$178,333.33
40$891.67$555.56$177,777.78
41$888.89$555.56$177,222.22
42$886.11$555.56$176,666.67
43$883.33$555.56$176,111.11
44$880.56$555.56$175,555.56
45$877.78$555.56$175,000.00
46$875.00$555.56$174,444.44
47$872.22$555.56$173,888.89
48$869.44$555.56$173,333.33
49$866.67$555.56$172,777.78
50$863.89$555.56$172,222.22
51$861.11$555.56$171,666.67
52$858.33$555.56$171,111.11
53$855.56$555.56$170,555.56
54$852.78$555.56$170,000.00
55$850.00$555.56$169,444.44
56$847.22$555.56$168,888.89
57$844.44$555.56$168,333.33
58$841.67$555.56$167,777.78
59$838.89$555.56$167,222.22
60$836.11$555.56$166,666.67
61$833.33$555.56$166,111.11
62$830.56$555.56$165,555.56
63$827.78$555.56$165,000.00
64$825.00$555.56$164,444.44
65$822.22$555.56$163,888.89
66$819.44$555.56$163,333.33
67$816.67$555.56$162,777.78
68$813.89$555.56$162,222.22
69$811.11$555.56$161,666.67
70$808.33$555.56$161,111.11
71$805.56$555.56$160,555.56
72$802.78$555.56$160,000.00
73$800.00$555.56$159,444.44
74$797.22$555.56$158,888.89
75$794.44$555.56$158,333.33
76$791.67$555.56$157,777.78
77$788.89$555.56$157,222.22
78$786.11$555.56$156,666.67
79$783.33$555.56$156,111.11
80$780.56$555.56$155,555.56
81$777.78$555.56$155,000.00
82$775.00$555.56$154,444.44
83$772.22$555.56$153,888.89
84$769.44$555.56$153,333.33
85$766.67$555.56$152,777.78
86$763.89$555.56$152,222.22
87$761.11$555.56$151,666.67
88$758.33$555.56$151,111.11
89$755.56$555.56$150,555.56
90$752.78$555.56$150,000.00
91$750.00$555.56$149,444.44
92$747.22$555.56$148,888.89
93$744.44$555.56$148,333.33
94$741.67$555.56$147,777.78
95$738.89$555.56$147,222.22
96$736.11$555.56$146,666.67
97$733.33$555.56$146,111.11
98$730.56$555.56$145,555.56
99$727.78$555.56$145,000.00
100$725.00$555.56$144,444.44
101$722.22$555.56$143,888.89
102$719.44$555.56$143,333.33
103$716.67$555.56$142,777.78
104$713.89$555.56$142,222.22
105$711.11$555.56$141,666.67
106$708.33$555.56$141,111.11
107$705.56$555.56$140,555.56
108$702.78$555.56$140,000.00
109$700.00$555.56$139,444.44
110$697.22$555.56$138,888.89
111$694.44$555.56$138,333.33
112$691.67$555.56$137,777.78
113$688.89$555.56$137,222.22
114$686.11$555.56$136,666.67
115$683.33$555.56$136,111.11
116$680.56$555.56$135,555.56
117$677.78$555.56$135,000.00
118$675.00$555.56$134,444.44
119$672.22$555.56$133,888.89
120$669.44$555.56$133,333.33
121$666.67$555.56$132,777.78
122$663.89$555.56$132,222.22
123$661.11$555.56$131,666.67
124$658.33$555.56$131,111.11
125$655.56$555.56$130,555.56
126$652.78$555.56$130,000.00
127$650.00$555.56$129,444.44
128$647.22$555.56$128,888.89
129$644.44$555.56$128,333.33
130$641.67$555.56$127,777.78
131$638.89$555.56$127,222.22
132$636.11$555.56$126,666.67
133$633.33$555.56$126,111.11
134$630.56$555.56$125,555.56
135$627.78$555.56$125,000.00
136$625.00$555.56$124,444.44
137$622.22$555.56$123,888.89
138$619.44$555.56$123,333.33
139$616.67$555.56$122,777.78
140$613.89$555.56$122,222.22
141$611.11$555.56$121,666.67
142$608.33$555.56$121,111.11
143$605.56$555.56$120,555.56
144$602.78$555.56$120,000.00
145$600.00$555.56$119,444.44
146$597.22$555.56$118,888.89
147$594.44$555.56$118,333.33
148$591.67$555.56$117,777.78
149$588.89$555.56$117,222.22
150$586.11$555.56$116,666.67
151$583.33$555.56$116,111.11
152$580.56$555.56$115,555.56
153$577.78$555.56$115,000.00
154$575.00$555.56$114,444.44
155$572.22$555.56$113,888.89
156$569.44$555.56$113,333.33
157$566.67$555.56$112,777.78
158$563.89$555.56$112,222.22
159$561.11$555.56$111,666.67
160$558.33$555.56$111,111.11
161$555.56$555.56$110,555.56
162$552.78$555.56$110,000.00
163$550.00$555.56$109,444.44
164$547.22$555.56$108,888.89
165$544.44$555.56$108,333.33
166$541.67$555.56$107,777.78
167$538.89$555.56$107,222.22
168$536.11$555.56$106,666.67
169$533.33$555.56$106,111.11
170$530.56$555.56$105,555.56
171$527.78$555.56$105,000.00
172$525.00$555.56$104,444.44
173$522.22$555.56$103,888.89
174$519.44$555.56$103,333.33
175$516.67$555.56$102,777.78
176$513.89$555.56$102,222.22
177$511.11$555.56$101,666.67
178$508.33$555.56$101,111.11
179$505.56$555.56$100,555.56
180$502.78$555.56$100,000.00
181$500.00$555.56$99,444.44
182$497.22$555.56$98,888.89
183$494.44$555.56$98,333.33
184$491.67$555.56$97,777.78
185$488.89$555.56$97,222.22
186$486.11$555.56$96,666.67
187$483.33$555.56$96,111.11
188$480.56$555.56$95,555.56
189$477.78$555.56$95,000.00
190$475.00$555.56$94,444.44
191$472.22$555.56$93,888.89
192$469.44$555.56$93,333.33
193$466.67$555.56$92,777.78
194$463.89$555.56$92,222.22
195$461.11$555.56$91,666.67
196$458.33$555.56$91,111.11
197$455.56$555.56$90,555.56
198$452.78$555.56$90,000.00
199$450.00$555.56$89,444.44
200$447.22$555.56$88,888.89
201$444.44$555.56$88,333.33
202$441.67$555.56$87,777.78
203$438.89$555.56$87,222.22
204$436.11$555.56$86,666.67
205$433.33$555.56$86,111.11
206$430.56$555.56$85,555.56
207$427.78$555.56$85,000.00
208$425.00$555.56$84,444.44
209$422.22$555.56$83,888.89
210$419.44$555.56$83,333.33
211$416.67$555.56$82,777.78
212$413.89$555.56$82,222.22
213$411.11$555.56$81,666.67
214$408.33$555.56$81,111.11
215$405.56$555.56$80,555.56
216$402.78$555.56$80,000.00
217$400.00$555.56$79,444.44
218$397.22$555.56$78,888.89
219$394.44$555.56$78,333.33
220$391.67$555.56$77,777.78
221$388.89$555.56$77,222.22
222$386.11$555.56$76,666.67
223$383.33$555.56$76,111.11
224$380.56$555.56$75,555.56
225$377.78$555.56$75,000.00
226$375.00$555.56$74,444.44
227$372.22$555.56$73,888.89
228$369.44$555.56$73,333.33
229$366.67$555.56$72,777.78
230$363.89$555.56$72,222.22
231$361.11$555.56$71,666.67
232$358.33$555.56$71,111.11
233$355.56$555.56$70,555.56
234$352.78$555.56$70,000.00
235$350.00$555.56$69,444.44
236$347.22$555.56$68,888.89
237$344.44$555.56$68,333.33
238$341.67$555.56$67,777.78
239$338.89$555.56$67,222.22
240$336.11$555.56$66,666.67
241$333.33$555.56$66,111.11
242$330.56$555.56$65,555.56
243$327.78$555.56$65,000.00
244$325.00$555.56$64,444.44
245$322.22$555.56$63,888.89
246$319.44$555.56$63,333.33
247$316.67$555.56$62,777.78
248$313.89$555.56$62,222.22
249$311.11$555.56$61,666.67
250$308.33$555.56$61,111.11
251$305.56$555.56$60,555.56
252$302.78$555.56$60,000.00
253$300.00$555.56$59,444.44
254$297.22$555.56$58,888.89
255$294.44$555.56$58,333.33
256$291.67$555.56$57,777.78
257$288.89$555.56$57,222.22
258$286.11$555.56$56,666.67
259$283.33$555.56$56,111.11
260$280.56$555.56$55,555.56
261$277.78$555.56$55,000.00
262$275.00$555.56$54,444.44
263$272.22$555.56$53,888.89
264$269.44$555.56$53,333.33
265$266.67$555.56$52,777.78
266$263.89$555.56$52,222.22
267$261.11$555.56$51,666.67
268$258.33$555.56$51,111.11
269$255.56$555.56$50,555.56
270$252.78$555.56$50,000.00
271$250.00$555.56$49,444.44
272$247.22$555.56$48,888.89
273$244.44$555.56$48,333.33
274$241.67$555.56$47,777.78
275$238.89$555.56$47,222.22
276$236.11$555.56$46,666.67
277$233.33$555.56$46,111.11
278$230.56$555.56$45,555.56
279$227.78$555.56$45,000.00
280$225.00$555.56$44,444.44
281$222.22$555.56$43,888.89
282$219.44$555.56$43,333.33
283$216.67$555.56$42,777.78
284$213.89$555.56$42,222.22
285$211.11$555.56$41,666.67
286$208.33$555.56$41,111.11
287$205.56$555.56$40,555.56
288$202.78$555.56$40,000.00
289$200.00$555.56$39,444.44
290$197.22$555.56$38,888.89
291$194.44$555.56$38,333.33
292$191.67$555.56$37,777.78
293$188.89$555.56$37,222.22
294$186.11$555.56$36,666.67
295$183.33$555.56$36,111.11
296$180.56$555.56$35,555.56
297$177.78$555.56$35,000.00
298$175.00$555.56$34,444.44
299$172.22$555.56$33,888.89
300$169.44$555.56$33,333.33
301$166.67$555.56$32,777.78
302$163.89$555.56$32,222.22
303$161.11$555.56$31,666.67
304$158.33$555.56$31,111.11
305$155.56$555.56$30,555.56
306$152.78$555.56$30,000.00
307$150.00$555.56$29,444.44
308$147.22$555.56$28,888.89
309$144.44$555.56$28,333.33
310$141.67$555.56$27,777.78
311$138.89$555.56$27,222.22
312$136.11$555.56$26,666.67
313$133.33$555.56$26,111.11
314$130.56$555.56$25,555.56
315$127.78$555.56$25,000.00
316$125.00$555.56$24,444.44
317$122.22$555.56$23,888.89
318$119.44$555.56$23,333.33
319$116.67$555.56$22,777.78
320$113.89$555.56$22,222.22
321$111.11$555.56$21,666.67
322$108.33$555.56$21,111.11
323$105.56$555.56$20,555.56
324$102.78$555.56$20,000.00
325$100.00$555.56$19,444.44
326$97.22$555.56$18,888.89
327$94.44$555.56$18,333.33
328$91.67$555.56$17,777.78
329$88.89$555.56$17,222.22
330$86.11$555.56$16,666.67
331$83.33$555.56$16,111.11
332$80.56$555.56$15,555.56
333$77.78$555.56$15,000.00
334$75.00$555.56$14,444.44
335$72.22$555.56$13,888.89
336$69.44$555.56$13,333.33
337$66.67$555.56$12,777.78
338$63.89$555.56$12,222.22
339$61.11$555.56$11,666.67
340$58.33$555.56$11,111.11
341$55.56$555.56$10,555.56
342$52.78$555.56$10,000.00
343$50.00$555.56$9,444.44
344$47.22$555.56$8,888.89
345$44.44$555.56$8,333.33
346$41.67$555.56$7,777.78
347$38.89$555.56$7,222.22
348$36.11$555.56$6,666.67
349$33.33$555.56$6,111.11
350$30.56$555.56$5,555.56
351$27.78$555.56$5,000.00
352$25.00$555.56$4,444.44
353$22.22$555.56$3,888.89
354$19.44$555.56$3,333.33
355$16.67$555.56$2,777.78
356$13.89$555.56$2,222.22
357$11.11$555.56$1,666.67
358$8.33$555.56$1,111.11
359$5.56$555.56$555.56
360$2.78$555.56$0.00

How to use

  1. Enter loan amount, annual interest rate, and loan term in years.
  2. Review fixed monthly principal, first and last payments, and summary cards.
  3. Explore the chart: remaining balance falling and cumulative interest rising.
  4. Hover any month on the chart for tooltip values.
  5. Scroll the month-by-month table for exact figures.

FAQ

What is equal principal visualize used for?

It turns equal-principal loan inputs into an interactive chart and schedule so you can see how declining payments, balance, and interest evolve — not just read one payment number.

What can I visualize with this tool?

Remaining balance and cumulative interest on one chart, plus fixed monthly principal, first and last payments, total interest, total payment, and a month-by-month table with hover details.

Why do payments decline on the chart?

Principal is fixed each month, but interest is charged on the shrinking balance. As balance falls, interest falls, so total payment decreases every month.

How does this compare to amortization visualize?

Amortization visualize shows a fixed monthly payment with rising principal share. This tool shows fixed principal with falling total payments and usually lower total interest.

Is my data uploaded?

No. Processing runs locally in your browser.

Does this tool provide financial advice?

No. Results are informational estimates only and do not replace professional advice.

Introduction

Equal Principal Visualize helps you see how an equal-principal loan (trả gốc đều) is repaid over time. Unlike standard amortization charts where total payment stays flat, this tool highlights declining monthly payments, fixed principal, and how cumulative interest accumulates more slowly than with equal-payment loans.

Enter loan amount, rate, and term. Explore an interactive chart, hover tooltips, and a month-by-month table.

What you can visualize

1. Declining payment pattern

Each month repays the same principal. Interest falls as balance shrinks, so the total payment line slopes downward — a signature of equal-principal loans.

2. Two-line payoff chart

  • Remaining balance (blue, falling) — debt still owed
  • Cumulative interest (green, rising) — total interest paid so far

Together they show faster principal reduction and lower total interest versus equal-payment loans.

3. Month-by-month schedule

Every row includes:

  • Interest paid that month
  • Principal paid that month (fixed, except final rounding)
  • Remaining balance

Use the chart for shape and intuition; use the table for exact figures.

4. Real-time input visualization

Change loan amount, rate, or years and the chart, table, and summary cards update immediately.

Understanding the chart lines

1. Remaining balance (blue line)

What it shows: How much you still owe at the end of each month.

Why it matters: Balance drops steadily because principal is constant — easy to compare against equal-payment amortization curves.

2. Cumulative interest (green line)

What it shows: Total interest paid from the start through each month.

Why it matters: The curve rises more gently than on equal-payment loans because less interest accrues on a faster-shrinking balance.

How equal principal is calculated

Each month:

  • Principal = loan ÷ months
  • Interest = balance × monthly rate
  • Payment = principal + interest

Equal monthly payment vs equal monthly principal

Equal monthly principal (this tool) fixes principal each month; total payment declines. Equal monthly payment (amortization) fixes the total payment while principal and interest rebalance.

Equal monthly principal (this tool) Equal monthly payment
What stays fixed Principal each month Total payment each month
What changes Total payment falls Principal share rises over time
Early months Higher cash flow Lower cash flow
Total interest Usually lower Usually higher
Common in China, Vietnam, some Asian banks US, Europe, India, Japan
Try it Equal Principal Visualize (you are here) Amortization Visualize

Common Use Cases

  • Visualizing equal-principal mortgage or business loan schedules.
  • Presenting declining payment patterns to stakeholders or students.
  • Comparing chart shapes against amortization for the same loan inputs.
  • Exploring how a lower rate or shorter term affects cumulative interest visually.

Best Practices

  • Budget for the first month payment — it is the highest.
  • Confirm your lender's method before relying on the chart for decisions.
  • Taxes, insurance, and fees are not included.
  • Extra payments are not modeled.
  • Treat outputs as planning estimates, not financial advice.