Research Article
Numerical Methods for Pricing American Options with Time-Fractional PDE Models
Table 1
Prices of American put option at
.
| , , , , , |
| | | | LTM | FDM | LTM | FDM |
| 1.0 | 1.2189 | 1.2362 | 3.4116 | 3.4792 | 0.9 | 1.1771 | 1.1912 | 3.2651 | 3.3157 | 0.7 | 1.0959 | 1.1028 | 2.9817 | 3.0071 | 0.4 | 0.9778 | 0.9793 | 2.5770 | 2.5829 | 0.2 | 0.9005 | 0.9002 | 2.3184 | 2.3191 |
| CPU time (s) | 1.65 | 234.68 | 1.73 | 241.34 |
| , , , , , |
| | | | LTM | FDM | LTM | FDM |
| 1.0 | 1.1877 | 1.2020 | 3.3325 | 3.3834 | 0.9 | 1.1485 | 1.1604 | 3.1918 | 3.2297 | 0.7 | 1.0722 | 1.0802 | 2.9208 | 2.9400 | 0.4 | 0.9609 | 0.9657 | 2.5347 | 2.5397 | 0.2 | 0.8877 | 0.8922 | 2.2876 | 2.2898 |
| CPU time (s) | 1.53 | 239.21 | 1.98 | 247.22 |
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