複利、稅的關係（三）

看完了複利、稅的關係（一）與複利、稅的關係（二）之後，
再來想想幾個問題。

一、在複利、稅的關係（一）中，第１４５次就能達到１００萬，那複利、稅的關係（二）在第１４５次時，當時的情況又是如何？？

二、當複利、稅的關係（二）在第１８０次達到１００萬時，複利、稅的關係（一）中的第１８０次又是成長到多少？？

三、由１塊成長到１００萬中，有哪幾個要素會影嚮到成長速度？？

四、上述要素中，你能區分要素的重要性嗎？




＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝

一、在複利、稅的關係（一）中，第１４５次就能達到１００萬，那複利、稅的關係（二）在第１４５次時，當時的情況又是如何？？

次數	本金	投報率	利潤	稅率	稅額	稅後淨利	本利和
1	1.00	10%	0.10	20%	0.02	0.08	1.08
2	1.08	10%	0.11	20%	0.02	0.09	1.17
3	1.17	10%	0.12	20%	0.02	0.09	1.26
4	1.26	10%	0.13	20%	0.03	0.10	1.36
5	1.36	10%	0.14	20%	0.03	0.11	1.47
6	1.47	10%	0.15	20%	0.03	0.12	1.59
7	1.59	10%	0.16	20%	0.03	0.13	1.71
8	1.71	10%	0.17	20%	0.03	0.14	1.85
9	1.85	10%	0.19	20%	0.04	0.15	2.00
10	2.00	10%	0.20	20%	0.04	0.16	2.16
11	2.16	10%	0.22	20%	0.04	0.17	2.33
12	2.33	10%	0.23	20%	0.05	0.19	2.52
13	2.52	10%	0.25	20%	0.05	0.20	2.72
14	2.72	10%	0.27	20%	0.05	0.22	2.94
15	2.94	10%	0.29	20%	0.06	0.23	3.17
16	3.17	10%	0.32	20%	0.06	0.25	3.43
17	3.43	10%	0.34	20%	0.07	0.27	3.70
18	3.70	10%	0.37	20%	0.07	0.30	4.00
19	4.00	10%	0.40	20%	0.08	0.32	4.32
20	4.32	10%	0.43	20%	0.09	0.35	4.66
21	4.66	10%	0.47	20%	0.09	0.37	5.03
22	5.03	10%	0.50	20%	0.10	0.40	5.44
23	5.44	10%	0.54	20%	0.11	0.43	5.87
24	5.87	10%	0.59	20%	0.12	0.47	6.34
25	6.34	10%	0.63	20%	0.13	0.51	6.85
26	6.85	10%	0.68	20%	0.14	0.55	7.40
27	7.40	10%	0.74	20%	0.15	0.59	7.99
28	7.99	10%	0.80	20%	0.16	0.64	8.63
29	8.63	10%	0.86	20%	0.17	0.69	9.32
30	9.32	10%	0.93	20%	0.19	0.75	10.06
31	10.06	10%	1.01	20%	0.20	0.81	10.87
32	10.87	10%	1.09	20%	0.22	0.87	11.74
33	11.74	10%	1.17	20%	0.23	0.94	12.68
34	12.68	10%	1.27	20%	0.25	1.01	13.69
35	13.69	10%	1.37	20%	0.27	1.10	14.79
36	14.79	10%	1.48	20%	0.30	1.18	15.97
37	15.97	10%	1.60	20%	0.32	1.28	17.25
38	17.25	10%	1.72	20%	0.34	1.38	18.63
39	18.63	10%	1.86	20%	0.37	1.49	20.12
40	20.12	10%	2.01	20%	0.40	1.61	21.72
41	21.72	10%	2.17	20%	0.43	1.74	23.46
42	23.46	10%	2.35	20%	0.47	1.88	25.34
43	25.34	10%	2.53	20%	0.51	2.03	27.37
44	27.37	10%	2.74	20%	0.55	2.19	29.56
45	29.56	10%	2.96	20%	0.59	2.36	31.92
46	31.92	10%	3.19	20%	0.64	2.55	34.47
47	34.47	10%	3.45	20%	0.69	2.76	37.23
48	37.23	10%	3.72	20%	0.74	2.98	40.21
49	40.21	10%	4.02	20%	0.80	3.22	43.43
50	43.43	10%	4.34	20%	0.87	3.47	46.90
51	46.90	10%	4.69	20%	0.94	3.75	50.65
52	50.65	10%	5.07	20%	1.01	4.05	54.71
53	54.71	10%	5.47	20%	1.09	4.38	59.08
54	59.08	10%	5.91	20%	1.18	4.73	63.81
55	63.81	10%	6.38	20%	1.28	5.10	68.91
56	68.91	10%	6.89	20%	1.38	5.51	74.43
57	74.43	10%	7.44	20%	1.49	5.95	80.38
58	80.38	10%	8.04	20%	1.61	6.43	86.81
59	86.81	10%	8.68	20%	1.74	6.94	93.76
60	93.76	10%	9.38	20%	1.88	7.50	101.26
61	101.26	10%	10.13	20%	2.03	8.10	109.36
62	109.36	10%	10.94	20%	2.19	8.75	118.11
63	118.11	10%	11.81	20%	2.36	9.45	127.55
64	127.55	10%	12.76	20%	2.55	10.20	137.76
65	137.76	10%	13.78	20%	2.76	11.02	148.78
66	148.78	10%	14.88	20%	2.98	11.90	160.68
67	160.68	10%	16.07	20%	3.21	12.85	173.54
68	173.54	10%	17.35	20%	3.47	13.88	187.42
69	187.42	10%	18.74	20%	3.75	14.99	202.41
70	202.41	10%	20.24	20%	4.05	16.19	218.61
71	218.61	10%	21.86	20%	4.37	17.49	236.09
72	236.09	10%	23.61	20%	4.72	18.89	254.98
73	254.98	10%	25.50	20%	5.10	20.40	275.38
74	275.38	10%	27.54	20%	5.51	22.03	297.41
75	297.41	10%	29.74	20%	5.95	23.79	321.20
76	321.20	10%	32.12	20%	6.42	25.70	346.90
77	346.90	10%	34.69	20%	6.94	27.75	374.65
78	374.65	10%	37.47	20%	7.49	29.97	404.63
79	404.63	10%	40.46	20%	8.09	32.37	437.00
80	437.00	10%	43.70	20%	8.74	34.96	471.95
81	471.95	10%	47.20	20%	9.44	37.76	509.71
82	509.71	10%	50.97	20%	10.19	40.78	550.49
83	550.49	10%	55.05	20%	11.01	44.04	594.53
84	594.53	10%	59.45	20%	11.89	47.56	642.09
85	642.09	10%	64.21	20%	12.84	51.37	693.46
86	693.46	10%	69.35	20%	13.87	55.48	748.93
87	748.93	10%	74.89	20%	14.98	59.91	808.85
88	808.85	10%	80.88	20%	16.18	64.71	873.56
89	873.56	10%	87.36	20%	17.47	69.88	943.44
90	943.44	10%	94.34	20%	18.87	75.48	1,018.92
91	1,018.92	10%	101.89	20%	20.38	81.51	1,100.43
92	1,100.43	10%	110.04	20%	22.01	88.03	1,188.46
93	1,188.46	10%	118.85	20%	23.77	95.08	1,283.54
94	1,283.54	10%	128.35	20%	25.67	102.68	1,386.22
95	1,386.22	10%	138.62	20%	27.72	110.90	1,497.12
96	1,497.12	10%	149.71	20%	29.94	119.77	1,616.89
97	1,616.89	10%	161.69	20%	32.34	129.35	1,746.24
98	1,746.24	10%	174.62	20%	34.92	139.70	1,885.94
99	1,885.94	10%	188.59	20%	37.72	150.88	2,036.82
100	2,036.82	10%	203.68	20%	40.74	162.95	2,199.76
101	2,199.76	10%	219.98	20%	44.00	175.98	2,375.74
102	2,375.74	10%	237.57	20%	47.51	190.06	2,565.80
103	2,565.80	10%	256.58	20%	51.32	205.26	2,771.07
104	2,771.07	10%	277.11	20%	55.42	221.69	2,992.75
105	2,992.75	10%	299.28	20%	59.86	239.42	3,232.17
106	3,232.17	10%	323.22	20%	64.64	258.57	3,490.74
107	3,490.74	10%	349.07	20%	69.81	279.26	3,770.00
108	3,770.00	10%	377.00	20%	75.40	301.60	4,071.60
109	4,071.60	10%	407.16	20%	81.43	325.73	4,397.33
110	4,397.33	10%	439.73	20%	87.95	351.79	4,749.12
111	4,749.12	10%	474.91	20%	94.98	379.93	5,129.05
112	5,129.05	10%	512.90	20%	102.58	410.32	5,539.37
113	5,539.37	10%	553.94	20%	110.79	443.15	5,982.52
114	5,982.52	10%	598.25	20%	119.65	478.60	6,461.12
115	6,461.12	10%	646.11	20%	129.22	516.89	6,978.01
116	6,978.01	10%	697.80	20%	139.56	558.24	7,536.26
117	7,536.26	10%	753.63	20%	150.73	602.90	8,139.16
118	8,139.16	10%	813.92	20%	162.78	651.13	8,790.29
119	8,790.29	10%	879.03	20%	175.81	703.22	9,493.51
120	9,493.51	10%	949.35	20%	189.87	759.48	10,252.99
121	10,252.99	10%	1,025.30	20%	205.06	820.24	11,073.23
122	11,073.23	10%	1,107.32	20%	221.46	885.86	11,959.09
123	11,959.09	10%	1,195.91	20%	239.18	956.73	12,915.82
124	12,915.82	10%	1,291.58	20%	258.32	1,033.27	13,949.08
125	13,949.08	10%	1,394.91	20%	278.98	1,115.93	15,065.01
126	15,065.01	10%	1,506.50	20%	301.30	1,205.20	16,270.21
127	16,270.21	10%	1,627.02	20%	325.40	1,301.62	17,571.83
128	17,571.83	10%	1,757.18	20%	351.44	1,405.75	18,977.57
129	18,977.57	10%	1,897.76	20%	379.55	1,518.21	20,495.78
130	20,495.78	10%	2,049.58	20%	409.92	1,639.66	22,135.44
131	22,135.44	10%	2,213.54	20%	442.71	1,770.84	23,906.28
132	23,906.28	10%	2,390.63	20%	478.13	1,912.50	25,818.78
133	25,818.78	10%	2,581.88	20%	516.38	2,065.50	27,884.28
134	27,884.28	10%	2,788.43	20%	557.69	2,230.74	30,115.03
135	30,115.03	10%	3,011.50	20%	602.30	2,409.20	32,524.23
136	32,524.23	10%	3,252.42	20%	650.48	2,601.94	35,126.17
137	35,126.17	10%	3,512.62	20%	702.52	2,810.09	37,936.26
138	37,936.26	10%	3,793.63	20%	758.73	3,034.90	40,971.16
139	40,971.16	10%	4,097.12	20%	819.42	3,277.69	44,248.85
140	44,248.85	10%	4,424.89	20%	884.98	3,539.91	47,788.76
141	47,788.76	10%	4,778.88	20%	955.78	3,823.10	51,611.86
142	51,611.86	10%	5,161.19	20%	1,032.24	4,128.95	55,740.81
143	55,740.81	10%	5,574.08	20%	1,114.82	4,459.26	60,200.08
144	60,200.08	10%	6,020.01	20%	1,204.00	4,816.01	65,016.08
145	65,016.08	10%	6,501.61	20%	1,300.32	5,201.29	70,217.37

當複利、稅的關係（一）中，第１４５次就能達到１００萬，複利、稅的關係（二）在第１４５次時，金額只成長到70,217.37。

你的１塊錢，在此時只成長到７萬塊。

兩者之間差異性，你發現了嗎？

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二、當複利、稅的關係（二）在第１８０次達到１００萬時，複利、稅的關係（一）中的第１８０次又是成長到多少？？

次數	本金	投報率	利潤	本利和
1	1.00	10%	0.10	1.10
2	1.10	10%	0.11	1.21
3	1.21	10%	0.12	1.33
4	1.33	10%	0.13	1.46
5	1.46	10%	0.15	1.61
6	1.61	10%	0.16	1.77
7	1.77	10%	0.18	1.95
8	1.95	10%	0.19	2.14
9	2.14	10%	0.21	2.36
10	2.36	10%	0.24	2.59
11	2.59	10%	0.26	2.85
12	2.85	10%	0.29	3.14
13	3.14	10%	0.31	3.45
14	3.45	10%	0.35	3.80
15	3.80	10%	0.38	4.18
16	4.18	10%	0.42	4.59
17	4.59	10%	0.46	5.05
18	5.05	10%	0.51	5.56
19	5.56	10%	0.56	6.12
20	6.12	10%	0.61	6.73
21	6.73	10%	0.67	7.40
22	7.40	10%	0.74	8.14
23	8.14	10%	0.81	8.95
24	8.95	10%	0.90	9.85
25	9.85	10%	0.98	10.83
26	10.83	10%	1.08	11.92
27	11.92	10%	1.19	13.11
28	13.11	10%	1.31	14.42
29	14.42	10%	1.44	15.86
30	15.86	10%	1.59	17.45
31	17.45	10%	1.74	19.19
32	19.19	10%	1.92	21.11
33	21.11	10%	2.11	23.23
34	23.23	10%	2.32	25.55
35	25.55	10%	2.55	28.10
36	28.10	10%	2.81	30.91
37	30.91	10%	3.09	34.00
38	34.00	10%	3.40	37.40
39	37.40	10%	3.74	41.14
40	41.14	10%	4.11	45.26
41	45.26	10%	4.53	49.79
42	49.79	10%	4.98	54.76
43	54.76	10%	5.48	60.24
44	60.24	10%	6.02	66.26
45	66.26	10%	6.63	72.89
46	72.89	10%	7.29	80.18
47	80.18	10%	8.02	88.20
48	88.20	10%	8.82	97.02
49	97.02	10%	9.70	106.72
50	106.72	10%	10.67	117.39
51	117.39	10%	11.74	129.13
52	129.13	10%	12.91	142.04
53	142.04	10%	14.20	156.25
54	156.25	10%	15.62	171.87
55	171.87	10%	17.19	189.06
56	189.06	10%	18.91	207.97
57	207.97	10%	20.80	228.76
58	228.76	10%	22.88	251.64
59	251.64	10%	25.16	276.80
60	276.80	10%	27.68	304.48
61	304.48	10%	30.45	334.93
62	334.93	10%	33.49	368.42
63	368.42	10%	36.84	405.27
64	405.27	10%	40.53	445.79
65	445.79	10%	44.58	490.37
66	490.37	10%	49.04	539.41
67	539.41	10%	53.94	593.35
68	593.35	10%	59.33	652.68
69	652.68	10%	65.27	717.95
70	717.95	10%	71.80	789.75
71	789.75	10%	78.97	868.72
72	868.72	10%	86.87	955.59
73	955.59	10%	95.56	1,051.15
74	1,051.15	10%	105.12	1,156.27
75	1,156.27	10%	115.63	1,271.90
76	1,271.90	10%	127.19	1,399.08
77	1,399.08	10%	139.91	1,538.99
78	1,538.99	10%	153.90	1,692.89
79	1,692.89	10%	169.29	1,862.18
80	1,862.18	10%	186.22	2,048.40
81	2,048.40	10%	204.84	2,253.24
82	2,253.24	10%	225.32	2,478.56
83	2,478.56	10%	247.86	2,726.42
84	2,726.42	10%	272.64	2,999.06
85	2,999.06	10%	299.91	3,298.97
86	3,298.97	10%	329.90	3,628.87
87	3,628.87	10%	362.89	3,991.75
88	3,991.75	10%	399.18	4,390.93
89	4,390.93	10%	439.09	4,830.02
90	4,830.02	10%	483.00	5,313.02
91	5,313.02	10%	531.30	5,844.32
92	5,844.32	10%	584.43	6,428.76
93	6,428.76	10%	642.88	7,071.63
94	7,071.63	10%	707.16	7,778.80
95	7,778.80	10%	777.88	8,556.68
96	8,556.68	10%	855.67	9,412.34
97	9,412.34	10%	941.23	10,353.58
98	10,353.58	10%	1,035.36	11,388.94
99	11,388.94	10%	1,138.89	12,527.83
100	12,527.83	10%	1,252.78	13,780.61
101	13,780.61	10%	1,378.06	15,158.67
102	15,158.67	10%	1,515.87	16,674.54
103	16,674.54	10%	1,667.45	18,342.00
104	18,342.00	10%	1,834.20	20,176.19
105	20,176.19	10%	2,017.62	22,193.81
106	22,193.81	10%	2,219.38	24,413.20
107	24,413.20	10%	2,441.32	26,854.51
108	26,854.51	10%	2,685.45	29,539.97
109	29,539.97	10%	2,954.00	32,493.96
110	32,493.96	10%	3,249.40	35,743.36
111	35,743.36	10%	3,574.34	39,317.70
112	39,317.70	10%	3,931.77	43,249.46
113	43,249.46	10%	4,324.95	47,574.41
114	47,574.41	10%	4,757.44	52,331.85
115	52,331.85	10%	5,233.19	57,565.04
116	57,565.04	10%	5,756.50	63,321.54
117	63,321.54	10%	6,332.15	69,653.70
118	69,653.70	10%	6,965.37	76,619.07
119	76,619.07	10%	7,661.91	84,280.97
120	84,280.97	10%	8,428.10	92,709.07
121	92,709.07	10%	9,270.91	101,979.98
122	101,979.98	10%	10,198.00	112,177.97
123	112,177.97	10%	11,217.80	123,395.77
124	123,395.77	10%	12,339.58	135,735.35
125	135,735.35	10%	13,573.53	149,308.88
126	149,308.88	10%	14,930.89	164,239.77
127	164,239.77	10%	16,423.98	180,663.75
128	180,663.75	10%	18,066.37	198,730.12
129	198,730.12	10%	19,873.01	218,603.13
130	218,603.13	10%	21,860.31	240,463.45
131	240,463.45	10%	24,046.34	264,509.79
132	264,509.79	10%	26,450.98	290,960.77
133	290,960.77	10%	29,096.08	320,056.85
134	320,056.85	10%	32,005.68	352,062.53
135	352,062.53	10%	35,206.25	387,268.79
136	387,268.79	10%	38,726.88	425,995.67
137	425,995.67	10%	42,599.57	468,595.23
138	468,595.23	10%	46,859.52	515,454.76
139	515,454.76	10%	51,545.48	567,000.23
140	567,000.23	10%	56,700.02	623,700.26
141	623,700.26	10%	62,370.03	686,070.28
142	686,070.28	10%	68,607.03	754,677.31
143	754,677.31	10%	75,467.73	830,145.04
144	830,145.04	10%	83,014.50	913,159.54
145	913,159.54	10%	91,315.95	1,004,475.50
146	1,004,475.50	10%	100,447.55	1,104,923.05
147	1,104,923.05	10%	110,492.30	1,215,415.35
148	1,215,415.35	10%	121,541.54	1,336,956.89
149	1,336,956.89	10%	133,695.69	1,470,652.58
150	1,470,652.58	10%	147,065.26	1,617,717.84
151	1,617,717.84	10%	161,771.78	1,779,489.62
152	1,779,489.62	10%	177,948.96	1,957,438.58
153	1,957,438.58	10%	195,743.86	2,153,182.44
154	2,153,182.44	10%	215,318.24	2,368,500.68
155	2,368,500.68	10%	236,850.07	2,605,350.75
156	2,605,350.75	10%	260,535.08	2,865,885.83
157	2,865,885.83	10%	286,588.58	3,152,474.41
158	3,152,474.41	10%	315,247.44	3,467,721.85
159	3,467,721.85	10%	346,772.19	3,814,494.04
160	3,814,494.04	10%	381,449.40	4,195,943.44
161	4,195,943.44	10%	419,594.34	4,615,537.78
162	4,615,537.78	10%	461,553.78	5,077,091.56
163	5,077,091.56	10%	507,709.16	5,584,800.72
164	5,584,800.72	10%	558,480.07	6,143,280.79
165	6,143,280.79	10%	614,328.08	6,757,608.87
166	6,757,608.87	10%	675,760.89	7,433,369.75
167	7,433,369.75	10%	743,336.98	8,176,706.73
168	8,176,706.73	10%	817,670.67	8,994,377.40
169	8,994,377.40	10%	899,437.74	9,893,815.14
170	9,893,815.14	10%	989,381.51	10,883,196.66
171	10,883,196.66	10%	1,088,319.67	11,971,516.32
172	11,971,516.32	10%	1,197,151.63	13,168,667.96
173	13,168,667.96	10%	1,316,866.80	14,485,534.75
174	14,485,534.75	10%	1,448,553.48	15,934,088.23
175	15,934,088.23	10%	1,593,408.82	17,527,497.05
176	17,527,497.05	10%	1,752,749.71	19,280,246.76
177	19,280,246.76	10%	1,928,024.68	21,208,271.43
178	21,208,271.43	10%	2,120,827.14	23,329,098.57
179	23,329,098.57	10%	2,332,909.86	25,662,008.43
180	25,662,008.43	10%	2,566,200.84	28,228,209.27

當複利、稅的關係（二）在第１８０次達到１００萬時，複利、稅的關係（一）中的第１８０次已由１塊錢成長到28,228,209.27。

由１塊錢變成２千８萬多萬。

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三、由１塊成長到１００萬中，有哪幾個要素會影嚮到成長速度？？

本金、利率、次數。

這三個因素皆能影嚮，讓你的１塊錢加速成長到１００萬。

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四、上述要素中，你能區分要素的重要性嗎？

重要性比較：

次數　＞　本金　＞　利率