Mortgage Schedules

Problem statement

Suppose that you got a $100,000 20 year house mortgage 8 years ago at 9% annual interest compounded monthly. Now you want to sell the house. How much of the past mortgage payments was principal and how much was interest? You need to construct a mortgage schedule.

The monthly mortgage payment is $899.73.

Mortgage schedule


Payment Number	Payment	Interest	Unpaid Balance Reduction	Unpaid Balance
0				$100,000.00
1	$899.73	$750.00	$149.73	$99,850.27
2	$898.38	$748.88	$149.50	$99,700.77
3	$899.73	$747.76	$151.97	$99,548.80
4	$899.73	$746.62	$153.11	$99,395.69
5	$899.73	$745.47	$154.26	$99,241.43
6	$899.73	$744.31	$155.42	$99,086.02
7	$899.73	$743.15	$156.58	$98,929.44
8	$899.73	$741.97	$157.76	$98,771.68
9	$899.73	$740.79	$158.94	$98,612.74
10	$899.73	$739.60	$160.13	$98,452.61
11	$899.73	$738.39	$161.33	$98,291.28
12	$899.73	$737.18	$162.54	$98,128.74
13	$899.73	$735.97	$163.76	$97,964.98
14	$899.73	$734.74	$164.99	$97,799.99
15	$899.73	$733.50	$166.23	$97,633.77
16	$899.73	$732.25	$167.47	$97,466.29
17	$899.73	$731.00	$168.73	$97,297.56
18	$899.73	$729.73	$169.99	$97,127.57
19	$899.73	$728.46	$171.27	$96,956.30
20	$899.73	$727.17	$172.55	$96,783.75
21	$899.73	$725.88	$173.85	$96,609.90
22	$899.73	$724.57	$175.15	$96,434.75
23	$899.73	$723.26	$176.47	$96,258.28
24	$899.73	$721.94	$177.79	$96,080.49
25	$899.73	$720.60	$179.12	$95,901.37
26	$899.73	$719.26	$180.47	$95,720.91
27	$899.73	$717.91	$181.82	$95,539.09
28	$899.73	$716.54	$183.18	$95,355.90
29	$899.73	$715.17	$184.56	$95,171.35
30	$899.73	$713.79	$185.94	$94,985.41
31	$899.73	$712.39	$187.34	$94,798.07
32	$899.73	$710.99	$188.74	$94,609.33
33	$899.73	$709.57	$190.16	$94,419.17
34	$899.73	$708.14	$191.58	$94,227.59
35	$899.73	$706.71	$193.02	$94,034.57
36	$899.73	$705.26	$194.47	$93,840.11
37	$899.73	$703.80	$195.93	$93,644.18
38	$899.73	$702.33	$197.39	$93,446.79
39	$899.73	$700.85	$198.88	$93,247.91
40	$899.73	$699.36	$200.37	$93,047.55
41	$899.73	$697.86	$201.87	$92,845.68
42	$899.73	$696.34	$203.38	$92,642.29
43	$899.73	$694.82	$204.91	$92,437.38
44	$899.73	$693.28	$206.45	$92,230.94
45	$899.73	$691.73	$207.99	$92,022.94
46	$899.73	$690.17	$209.55	$91,813.39
47	$899.73	$688.60	$211.13	$91,602.27
48	$899.73	$687.02	$212.71	$91,389.56
49	$899.73	$685.42	$214.30	$91,175.25
50	$899.73	$683.81	$215.91	$90,959.34
51	$899.73	$682.20	$217.53	$90,741.81
52	$899.73	$680.56	$219.16	$90,522.65
53	$899.73	$678.92	$220.81	$90,301.84
54	$899.73	$677.26	$222.46	$90,079.38
55	$899.73	$675.60	$224.13	$89,855.25
56	$899.73	$673.91	$225.81	$89,629.44
57	$899.73	$672.22	$227.51	$89,401.93
58	$899.73	$670.51	$229.21	$89,172.72
59	$899.73	$668.80	$230.93	$88,941.79
60	$899.73	$667.06	$232.66	$88,709.13
61	$899.73	$665.32	$234.41	$88,474.72
62	$899.73	$663.56	$236.17	$88,238.55
63	$899.73	$661.79	$237.94	$88,000.62
64	$899.73	$660.00	$239.72	$87,760.90
65	$899.73	$658.21	$241.52	$87,519.38
66	$899.73	$656.40	$243.33	$87,276.05
67	$899.73	$654.57	$245.16	$87,030.89
68	$899.73	$652.73	$246.99	$86,783.90
69	$899.73	$650.88	$248.85	$86,535.05
70	$899.73	$649.01	$250.71	$86,284.34
71	$899.73	$647.13	$252.59	$86,031.74
72	$899.73	$645.24	$254.49	$85,777.25
73	$899.73	$643.33	$256.40	$85,520.86
74	$899.73	$641.41	$258.32	$85,262.54
75	$899.73	$639.47	$260.26	$85,002.28
76	$899.73	$637.52	$262.21	$84,740.07
77	$899.73	$635.55	$264.18	$84,475.90
78	$899.73	$633.57	$266.16	$84,209.74
79	$899.73	$631.57	$268.15	$83,941.59
80	$899.73	$629.56	$270.16	$83,671.42
81	$899.73	$627.54	$272.19	$83,399.23
82	$899.73	$625.49	$274.23	$83,125.00
83	$899.73	$623.44	$276.29	$82,848.71
84	$899.73	$621.37	$278.36	$82,570.35
85	$899.73	$619.28	$280.45	$82,289.90
86	$899.73	$617.17	$282.55	$82,007.35
87	$899.73	$615.06	$284.67	$81,722.68
88	$899.73	$612.92	$286.81	$81,435.88
89	$899.73	$610.77	$288.96	$81,146.92
90	$899.73	$608.60	$291.12	$80,855.80
91	$899.73	$606.42	$293.31	$80,562.49
92	$899.73	$604.22	$295.51	$80,266.98
93	$899.73	$602.00	$297.72	$79,969.26
94	$899.73	$599.77	$299.96	$79,669.30
95	$899.73	$597.52	$302.21	$79,367.09
96	$899.73	$595.25	$304.47	$79,062.62
97	$899.73	$592.97	$306.76	$78,755.87
98	$899.73	$590.67	$309.06	$78,446.81
99	$899.73	$588.35	$311.37	$78,135.43
100	$899.73	$586.02	$313.71	$77,821.72
101	$899.73	$583.66	$316.06	$77,505.66
102	$899.73	$581.29	$318.43	$77,187.23
103	$899.73	$578.90	$320.82	$76,866.40
104	$899.73	$576.50	$323.23	$76,543.18
105	$899.73	$574.07	$325.65	$76,217.52
106	$899.73	$571.63	$328.09	$75,889.43
107	$899.73	$569.17	$330.56	$75,558.87
108	$899.73	$566.69	$333.03	$75,225.84
109	$899.73	$564.19	$335.53	$74,890.31
110	$899.73	$561.68	$338.05	$74,552.26
111	$899.73	$559.14	$340.58	$74,211.68
112	$899.73	$556.59	$343.14	$73,868.54
113	$899.73	$554.01	$345.71	$73,522.83
114	$899.73	$551.42	$348.30	$73,174.52
115	$899.73	$548.81	$350.92	$72,823.60
116	$899.73	$546.18	$353.55	$72,470.05
117	$899.73	$543.53	$356.20	$72,113.85
118	$899.73	$540.85	$358.87	$71,754.98
119	$899.73	$538.16	$361.56	$71,393.42
120	$899.73	$535.45	$364.28	$71,029.14
121	$899.73	$532.72	$367.01	$70,662.14
122	$899.73	$529.97	$369.76	$70,292.38
123	$899.73	$527.19	$372.53	$69,919.84
124	$899.73	$524.40	$375.33	$69,544.52
125	$899.73	$521.58	$378.14	$69,166.37
126	$899.73	$518.75	$380.98	$68,785.40
127	$899.73	$515.89	$383.84	$68,401.56
128	$899.73	$513.01	$386.71	$68,014.85
129	$899.73	$510.11	$389.61	$67,625.23
130	$899.73	$507.19	$392.54	$67,232.69
131	$899.73	$504.25	$395.48	$66,837.21
132	$899.73	$501.28	$398.45	$66,438.77
133	$899.73	$498.29	$401.44	$66,037.33
134	$899.73	$495.28	$404.45	$65,632.89
135	$899.73	$492.25	$407.48	$65,225.41
136	$899.73	$489.19	$410.54	$64,814.87
137	$899.73	$486.11	$413.61	$64,401.26
138	$899.73	$483.01	$416.72	$63,984.54
139	$899.73	$479.88	$419.84	$63,564.70
140	$899.73	$476.74	$422.99	$63,141.71
141	$899.73	$473.56	$426.16	$62,715.54
142	$899.73	$470.37	$429.36	$62,286.18
143	$899.73	$467.15	$432.58	$61,853.61
144	$899.73	$463.90	$435.82	$61,417.78
145	$899.73	$460.63	$439.09	$60,978.69
146	$899.73	$457.34	$442.39	$60,536.30
147	$899.73	$454.02	$445.70	$60,090.60
148	$899.73	$450.68	$449.05	$59,641.55
149	$899.73	$447.31	$452.41	$59,189.14
150	$899.73	$443.92	$455.81	$58,733.33
151	$899.73	$440.50	$459.23	$58,274.10
152	$899.73	$437.06	$462.67	$57,811.43
153	$899.73	$433.59	$466.14	$57,345.29
154	$899.73	$430.09	$469.64	$56,875.66
155	$899.73	$426.57	$473.16	$56,402.50
156	$899.73	$423.02	$476.71	$55,925.79
157	$899.73	$419.44	$480.28	$55,445.51
158	$899.73	$415.84	$483.88	$54,961.63
159	$899.73	$412.21	$487.51	$54,474.11
160	$899.73	$408.56	$491.17	$53,982.94
161	$899.73	$404.87	$494.85	$53,488.09
162	$899.73	$401.16	$498.57	$52,989.52
163	$899.73	$397.42	$502.30	$52,487.22
164	$899.73	$393.65	$506.07	$51,981.15
165	$899.73	$389.86	$509.87	$51,471.28
166	$899.73	$386.03	$513.69	$50,957.59
167	$899.73	$382.18	$517.54	$50,440.04
168	$899.73	$378.30	$521.43	$49,918.62
169	$899.73	$374.39	$525.34	$49,393.28
170	$899.73	$370.45	$529.28	$48,864.00
171	$899.73	$366.48	$533.25	$48,330.76
172	$899.73	$362.48	$537.25	$47,793.51
173	$899.73	$358.45	$541.27	$47,252.24
174	$899.73	$354.39	$545.33	$46,706.90
175	$899.73	$350.30	$549.42	$46,157.48
176	$899.73	$346.18	$553.54	$45,603.94
177	$899.73	$342.03	$557.70	$45,046.24
178	$899.73	$337.85	$561.88	$44,484.36
179	$899.73	$333.63	$566.09	$43,918.27
180	$899.73	$329.39	$570.34	$43,347.93
181	$899.73	$325.11	$574.62	$42,773.31
182	$899.73	$320.80	$578.93	$42,194.39
183	$899.73	$316.46	$583.27	$41,611.12
184	$899.73	$312.08	$587.64	$41,023.47
185	$899.73	$307.68	$592.05	$40,431.43
186	$899.73	$303.24	$596.49	$39,834.93
187	$899.73	$298.76	$600.96	$39,233.97
188	$899.73	$294.25	$605.47	$38,628.50
189	$899.73	$289.71	$610.01	$38,018.49
190	$899.73	$285.14	$614.59	$37,403.90
191	$899.73	$280.53	$619.20	$36,784.70
192	$899.73	$275.89	$623.84	$36,160.86
193	$899.73	$271.21	$628.52	$35,532.34
194	$899.73	$266.49	$633.23	$34,899.11
195	$899.73	$261.74	$637.98	$34,261.13
196	$899.73	$256.96	$642.77	$33,618.36
197	$899.73	$252.14	$647.59	$32,970.77
198	$899.73	$247.28	$652.45	$32,318.33
199	$899.73	$242.39	$657.34	$31,660.99
200	$899.73	$237.46	$662.27	$30,998.72
201	$899.73	$232.49	$667.24	$30,331.48
202	$899.73	$227.49	$672.24	$29,659.24
203	$899.73	$222.44	$677.28	$28,981.96
204	$899.73	$217.36	$682.36	$28,299.60
205	$899.73	$212.25	$687.48	$27,612.12
206	$899.73	$207.09	$692.64	$26,919.49
207	$899.73	$201.90	$697.83	$26,221.66
208	$899.73	$196.66	$703.06	$25,518.59
209	$899.73	$191.39	$708.34	$24,810.26
210	$899.73	$186.08	$713.65	$24,096.61
211	$899.73	$180.72	$719.00	$23,377.61
212	$899.73	$175.33	$724.39	$22,653.21
213	$899.73	$169.90	$729.83	$21,923.39
214	$899.73	$164.43	$735.30	$21,188.09
215	$899.73	$158.91	$740.82	$20,447.27
216	$899.73	$153.35	$746.37	$19,700.90
217	$899.73	$147.76	$751.97	$18,948.93
218	$899.73	$142.12	$757.61	$18,191.32
219	$899.73	$136.43	$763.29	$17,428.03
220	$899.73	$130.71	$769.02	$16,659.01
221	$899.73	$124.94	$774.78	$15,884.23
222	$899.73	$119.13	$780.59	$15,103.64
223	$899.73	$113.28	$786.45	$14,317.19
224	$899.73	$107.38	$792.35	$13,524.84
225	$899.73	$101.44	$798.29	$12,726.55
226	$899.73	$95.45	$804.28	$11,922.27
227	$899.73	$89.42	$810.31	$11,111.96
228	$899.73	$83.34	$816.39	$10,295.58
229	$899.73	$77.22	$822.51	$9,473.07
230	$899.73	$71.05	$828.68	$8,644.39
231	$899.73	$64.83	$834.89	$7,809.50
232	$899.73	$58.57	$841.15	$6,968.34
233	$899.73	$52.26	$847.46	$6,120.88
234	$899.73	$45.91	$853.82	$5,267.06
235	$899.73	$39.50	$860.22	$4,406.84
236	$899.73	$33.05	$866.67	$3,540.16
237	$899.73	$26.55	$873.17	$2,666.99
238	$899.73	$20.00	$879.72	$1,787.27
239	$899.73	$13.40	$886.32	$900.94
240	$899.73	$6.76	$892.97	$7.97