Research Article
Numerical Contour Integral Methods for Free-Boundary Partial Differential Equations Arising in American Volatility Options Pricing
Table 7
Comparison results (option values, relative errors and CPU time).
| | FDM | NCIM | T/250 | T/500 | T/1000 | T/2000 | L=10 | ā | value | value | RE (%) |
| 4 | 2.46906 | 2.46997 | 2.47044 | 2.47068 | 2.45192 | 0.75931 | 5 | 2.15034 | 2.15138 | 2.15189 | 2.15216 | 2.13482 | 0.80570 | 6 | 1.87964 | 1.88074 | 1.88129 | 1.88158 | 1.86568 | 0.84503 |
| CPU times (s) | 551 | 716 | 1045 | 1729 | 95 | ā |
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