Research Article
Stochastic Interest Model Based on Compound Poisson Process and Applications in Actuarial Science
Table 3
Values of
for different
,
,
, and
under the stochastic interest rate model.
| | | | | | | | | |
| 0.04 | 0.0025 | 1.0 | 17.6555 | 17.1858 | 17.1404 | 17.0952 | 16.3264 | 15.5610 | 1.5 | 17.9455 | 17.2257 | 17.1572 | 17.0894 | 15.9653 | 14.9034 | 2.0 | 18.2466 | 17.2658 | 17.1742 | 17.0836 | 15.6220 | 14.3099 | 2.5 | 18.5594 | 17.3063 | 17.1911 | 17.0777 | 15.2955 | 13.7724 | 3.0 | 18.8846 | 17.3470 | 17.2082 | 17.0719 | 14.9847 | 13.2841 | 0.0030 | 1.0 | 17.7910 | 17.2209 | 17.1661 | 17.1117 | 16.1959 | 15.3034 | 1.5 | 18.1578 | 17.2788 | 17.1960 | 17.1142 | 15.7799 | 14.5580 | 2.0 | 18.5423 | 17.3373 | 17.2262 | 17.1167 | 15.3876 | 13.8964 | 2.5 | 18.9457 | 17.3963 | 17.2565 | 17.1192 | 15.0174 | 13.3065 | 3.0 | 19.3692 | 17.4561 | 17.2871 | 17.1218 | 14.6677 | 12.7783 |
| | Nonrandom | 17.1069 |
| 0.05 | 0.0025 | 1.0 | 15.6838 | 15.3024 | 15.2655 | 15.2288 | 14.6025 | 13.9766 | 1.5 | 15.9182 | 15.3342 | 15.2786 | 15.2234 | 14.3070 | 13.4364 | 2.0 | 16.1614 | 15.3662 | 15.2917 | 15.2180 | 14.0256 | 12.9470 | 2.5 | 16.4137 | 15.3984 | 15.3049 | 15.2127 | 13.7575 | 12.5021 | 3.0 | 16.6756 | 15.4308 | 15.3181 | 15.2073 | 13.5017 | 12.0964 | 0.0030 | 1.0 | 15.7932 | 15.3304 | 15.2859 | 15.2416 | 14.4955 | 13.7650 | 1.5 | 16.0893 | 15.3765 | 15.3092 | 15.2427 | 14.1546 | 13.1514 | 2.0 | 16.3993 | 15.4230 | 15.3328 | 15.2438 | 13.8326 | 12.6044 | 2.5 | 16.7241 | 15.4701 | 15.3565 | 15.2450 | 13.5281 | 12.1146 | 3.0 | 17.0646 | 15.5176 | 15.3804 | 15.2461 | 13.2398 | 11.6740 |
| | Nonrandom | 15.2396 |
|
|