The course life table

Questions on this course use this table when they do not give their own values. It is the course's own basis, not one of the official examination tables.

Makeham: mu_x = 0.00025 + 0.00003 x 1.1^x, with l_20 = 100,000. Assurances pay at the end of the year of death.

x	l_x	d_x	q_x	ä_x at 4%	A_x at 4%	ä_x at 6%	A_x at 6%
20	100,000.00	46.16	0.000462	22.9120	0.11877	16.7886	0.04970
21	99,953.84	48.26	0.000483	22.7990	0.12312	16.7437	0.05225
22	99,905.58	50.56	0.000506	22.6819	0.12762	16.6963	0.05492
23	99,855.01	53.09	0.000532	22.5606	0.13229	16.6465	0.05774
24	99,801.92	55.88	0.000560	22.4349	0.13712	16.5942	0.06071
25	99,746.04	58.94	0.000591	22.3048	0.14212	16.5391	0.06383
26	99,687.11	62.30	0.000625	22.1701	0.14730	16.4812	0.06710
27	99,624.81	65.99	0.000662	22.0307	0.15267	16.4203	0.07055
28	99,558.81	70.06	0.000704	21.8864	0.15822	16.3563	0.07417
29	99,488.76	74.52	0.000749	21.7371	0.16396	16.2892	0.07797
30	99,414.24	79.42	0.000799	21.5828	0.16989	16.2187	0.08196
31	99,334.81	84.81	0.000854	21.4232	0.17603	16.1447	0.08615
32	99,250.00	90.73	0.000914	21.2583	0.18237	16.0671	0.09054
33	99,159.27	97.23	0.000981	21.0879	0.18893	15.9857	0.09515
34	99,062.04	104.37	0.001054	20.9119	0.19569	15.9005	0.09997
35	98,957.67	112.21	0.001134	20.7302	0.20268	15.8112	0.10503
36	98,845.46	120.82	0.001222	20.5428	0.20989	15.7177	0.11032
37	98,724.64	130.26	0.001319	20.3493	0.21733	15.6198	0.11586
38	98,594.38	140.63	0.001426	20.1499	0.22500	15.5175	0.12165
39	98,453.75	152.00	0.001544	19.9443	0.23291	15.4105	0.12771
40	98,301.75	164.48	0.001673	19.7326	0.24105	15.2987	0.13403
41	98,137.28	178.16	0.001815	19.5145	0.24944	15.1821	0.14064
42	97,959.12	193.16	0.001972	19.2901	0.25807	15.0603	0.14753
43	97,765.96	209.59	0.002144	19.0593	0.26695	14.9334	0.15471
44	97,556.37	227.60	0.002333	18.8220	0.27608	14.8011	0.16220
45	97,328.77	247.32	0.002541	18.5783	0.28545	14.6634	0.16999
46	97,081.45	268.91	0.002770	18.3280	0.29508	14.5201	0.17811
47	96,812.54	292.52	0.003022	18.0711	0.30496	14.3711	0.18654
48	96,520.02	318.35	0.003298	17.8078	0.31508	14.2164	0.19530
49	96,201.67	346.58	0.003603	17.5380	0.32546	14.0557	0.20439
50	95,855.09	377.40	0.003937	17.2617	0.33609	13.8891	0.21383
51	95,477.69	411.05	0.004305	16.9790	0.34696	13.7164	0.22360
52	95,066.63	447.75	0.004710	16.6900	0.35808	13.5377	0.23371
53	94,618.89	487.74	0.005155	16.3948	0.36943	13.3529	0.24418
54	94,131.15	531.27	0.005644	16.0936	0.38102	13.1619	0.25499
55	93,599.89	578.60	0.006182	15.7864	0.39283	12.9648	0.26615
56	93,021.28	630.02	0.006773	15.4735	0.40487	12.7615	0.27765
57	92,391.26	685.81	0.007423	15.1551	0.41711	12.5522	0.28950
58	91,705.45	746.24	0.008137	14.8314	0.42956	12.3369	0.30168
59	90,959.22	811.59	0.008923	14.5026	0.44221	12.1158	0.31420
60	90,147.62	882.16	0.009786	14.1692	0.45503	11.8888	0.32705
61	89,265.46	958.20	0.010734	13.8313	0.46803	11.6562	0.34022
62	88,307.26	1,039.96	0.011777	13.4893	0.48118	11.4181	0.35369
63	87,267.30	1,127.67	0.012922	13.1437	0.49447	11.1748	0.36746
64	86,139.63	1,221.49	0.014180	12.7948	0.50789	10.9265	0.38152
65	84,918.15	1,321.55	0.015563	12.4430	0.52142	10.6734	0.39584
66	83,596.60	1,427.91	0.017081	12.0889	0.53504	10.4159	0.41042
67	82,168.69	1,540.53	0.018748	11.7329	0.54874	10.1543	0.42523
68	80,628.16	1,659.27	0.020579	11.3754	0.56248	9.8890	0.44025
69	78,968.89	1,783.85	0.022589	11.0172	0.57626	9.6203	0.45546
70	77,185.04	1,913.85	0.024796	10.6586	0.59005	9.3487	0.47083
71	75,271.18	2,048.64	0.027217	10.3004	0.60383	9.0746	0.48634
72	73,222.54	2,187.39	0.029873	9.9430	0.61758	8.7986	0.50197
73	71,035.16	2,329.01	0.032787	9.5871	0.63126	8.5210	0.51768
74	68,706.14	2,472.16	0.035982	9.2334	0.64487	8.2425	0.53344
75	66,233.99	2,615.17	0.039484	8.8823	0.65837	7.9636	0.54923
76	63,618.82	2,756.06	0.043321	8.5346	0.67175	7.6849	0.56501
77	60,862.76	2,892.51	0.047525	8.1908	0.68497	7.4068	0.58074
78	57,970.24	3,021.87	0.052128	7.8516	0.69802	7.1301	0.59641
79	54,948.37	3,141.14	0.057165	7.5175	0.71087	6.8553	0.61197
80	51,807.23	3,247.05	0.062676	7.1892	0.72349	6.5829	0.62738
81	48,560.18	3,336.06	0.068700	6.8671	0.73588	6.3136	0.64263
82	45,224.12	3,404.53	0.075281	6.5519	0.74800	6.0479	0.65767
83	41,819.59	3,448.76	0.082468	6.2441	0.75984	5.7864	0.67247
84	38,370.83	3,465.19	0.090308	5.9440	0.77138	5.5296	0.68701
85	34,905.64	3,450.59	0.098855	5.6522	0.78261	5.2780	0.70125
86	31,455.05	3,402.30	0.108164	5.3691	0.79350	5.0321	0.71516
87	28,052.75	3,318.43	0.118293	5.0949	0.80404	4.7924	0.72873
88	24,734.32	3,198.19	0.129302	4.8301	0.81423	4.5593	0.74193
89	21,536.13	3,042.04	0.141253	4.5748	0.82405	4.3331	0.75473
90	18,494.09	2,851.97	0.154210	4.3293	0.83349	4.1142	0.76712
91	15,642.13	2,631.58	0.168236	4.0938	0.84255	3.9029	0.77908
92	13,010.55	2,386.10	0.183397	3.8683	0.85122	3.6995	0.79059
93	10,624.45	2,122.29	0.199755	3.6530	0.85950	3.5041	0.80165
94	8,502.16	1,848.12	0.217371	3.4479	0.86739	3.3169	0.81225
95	6,654.03	1,572.35	0.236301	3.2529	0.87489	3.1381	0.82237
96	5,081.68	1,303.93	0.256595	3.0679	0.88200	2.9676	0.83202
97	3,777.75	1,051.33	0.278297	2.8930	0.88873	2.8056	0.84120
98	2,726.41	821.84	0.301437	2.7278	0.89508	2.6519	0.84989
99	1,904.57	620.96	0.326036	2.5724	0.90106	2.5066	0.85812
100	1,283.61	451.95	0.352095	2.4263	0.90668	2.3695	0.86587
101	831.66	315.70	0.379598	2.2895	0.91194	2.2406	0.87317
102	515.96	210.77	0.408504	2.1616	0.91686	2.1197	0.88002
103	305.19	133.90	0.438748	2.0424	0.92144	2.0066	0.88642
104	171.29	80.55	0.470234	1.9317	0.92571	1.9011	0.89239
105	90.74	45.63	0.502832	1.8290	0.92966	1.8030	0.89794
106	45.11	24.20	0.536377	1.7341	0.93331	1.7121	0.90309
107	20.92	11.94	0.570669	1.6466	0.93667	1.6281	0.90784
108	8.98	5.44	0.605468	1.5664	0.93975	1.5509	0.91222
109	3.54	2.27	0.640498	1.4930	0.94258	1.4800	0.91622
110	1.27	0.86	0.675450	1.4262	0.94515	1.4154	0.91988