Research Article
Valuation of Insurance Products with Shout Options in a Jump-Diffusion Model
Table 1
The value of insurance product for different grids (parameters used:
).
| ā | | 4.0 | 5.0 | 6.0 | 7.0 | 8.0 |
| 30 20 grids | 0.6 | 0.0080 | 0.0003 | 0.0001 | 0.0000 | 0.0000 | 1.8 | 1.6261 | 1.2100 | 0.8349 | 0.5112 | 0.2534 | 3.0 | 6.0000 | 5.0000 | 4.0000 | 3.0000 | 2.0000 |
| 58 38 grids | 0.6 | 0.0005 | 0.0002 | 0.0001 | 0.0000 | 0.0000 | 1.8 | 1.5519 | 1.1500 | 0.7891 | 0.4796 | 0.2353 | 3.0 | 6.0000 | 5.0000 | 4.0000 | 3.0000 | 2.0000 |
| 114 74 grids | 0.6 | 0.0003 | 0.0002 | 0.0000 | 0.0000 | 0.0000 | 1.8 | 1.4287 | 1.0420 | 0.7423 | 0.5687 | 0.2845 | 3.0 | 6.0000 | 5.0000 | 4.0000 | 3.0000 | 2.0000 |
| 226 146 grids | 0.6 | 0.0002 | 0.0001 | 0.0000 | 0.0000 | 0.0000 | 1.8 | 1.3226 | 1.0235 | 0.6879 | 0.4465 | 0.2431 | 3.0 | 6.0000 | 5.0000 | 4.0000 | 3.0000 | 2.0000 |
| 450 220 grids | 0.6 | 0.0001 | 0.0001 | 0.0000 | 0.0000 | 0.0000 | 1.8 | 1.2431 | 1.0124 | 0.5984 | 0.3871 | 0.1259 | 3.0 | 6.0000 | 5.0000 | 4.0000 | 3.0000 | 2.0000 |
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