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Calculate the minimum premium for whole life insurance policy of one million yen, following the instructions, using the following assumptions: Discount rate of 3% Nobody
Calculate the minimum premium for whole life insurance policy of one million yen, following the instructions, using the following assumptions:
Discount rate of 3%
Nobody will live to 106
No business expenses/profits for insurer
Age | Death rate |
20 | 0.00020 |
21 | 0.00021 |
22 | 0.00022 |
23 | 0.00022 |
24 | 0.00022 |
25 | 0.00022 |
26 | 0.00023 |
27 | 0.00024 |
28 | 0.00025 |
29 | 0.00025 |
30 | 0.00027 |
31 | 0.00029 |
32 | 0.00031 |
33 | 0.00034 |
34 | 0.00037 |
35 | 0.00040 |
36 | 0.00042 |
37 | 0.00044 |
38 | 0.00047 |
39 | 0.00051 |
40 | 0.00057 |
41 | 0.00062 |
42 | 0.00068 |
43 | 0.00074 |
44 | 0.00081 |
45 | 0.00089 |
46 | 0.00099 |
47 | 0.00110 |
48 | 0.00121 |
49 | 0.00133 |
50 | 0.00243 |
51 | 0.00269 |
52 | 0.00298 |
53 | 0.00327 |
54 | 0.00359 |
55 | 0.00395 |
56 | 0.00434 |
57 | 0.00478 |
58 | 0.00530 |
59 | 0.00585 |
60 | 0.00644 |
61 | 0.00709 |
62 | 0.00777 |
63 | 0.00852 |
64 | 0.00936 |
65 | 0.01030 |
66 | 0.01138 |
67 | 0.01259 |
68 | 0.01395 |
69 | 0.01546 |
70 | 0.01694 |
71 | 0.01844 |
72 | 0.02010 |
73 | 0.02204 |
74 | 0.02432 |
75 | 0.02684 |
76 | 0.02953 |
77 | 0.03229 |
78 | 0.03562 |
79 | 0.03984 |
80 | 0.04493 |
81 | 0.05072 |
82 | 0.05711 |
83 | 0.06419 |
84 | 0.07230 |
85 | 0.08179 |
86 | 0.09269 |
87 | 0.10497 |
88 | 0.11835 |
89 | 0.13221 |
90 | 0.14537 |
91 | 0.16073 |
92 | 0.17747 |
93 | 0.19568 |
94 | 0.21544 |
95 | 0.23682 |
96 | 0.25989 |
97 | 0.28471 |
98 | 0.31130 |
99 | 0.33969 |
100 | 0.36985 |
101 | 0.40176 |
102 | 0.43531 |
103 | 0.47038 |
104 | 0.50680 |
105 | 1.00000 |
3. The next step is to calculate the discount factor for each age, and work out the present values of premium at each age. For example, the discount factor is (two decimal points) at age 60, and the present value of the premium at that age is yen (no 1,000 separators in the box please),
4. The final step is to factor in the survival rate. For example, since only people will be surviving at age 105, the present value of premium that need to be prepaid at the beginning is yen, which far smaller than the premium calculated in the second step. (no 1,000 separators in the boxes please)
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