Research Article
A Hybrid Finite Difference Method for Pricing Two-Asset Double Barrier Options
Table 1
Accuracy of the valuations of the two-asset double barrier options using the hybrid method.
| Current underlying asset prices | × | | | | |
|
| 4 × 4 | 0.225100 | 0.087465 | 0.124744 | 0.356570 | 8 × 8 | 0.312565 | 0.027761 | 0.037279 | 0.106559 | 16 × 16 | 0.340326 | 0.007581 | 0.009518 | 0.027206 | 32 × 32 | 0.347907 | 0.001937 | 0.001937 | 0.005537 | 64 × 64 | 0.349844 | * | * | * |
|
| 4 × 4 | 0.996184 | 0.364442 | 0.468376 | 0.319807 | 8 × 8 | 1.360626 | 0.080328 | 0.103934 | 0.070966 | 16 × 16 | 1.440954 | 0.018920 | 0.023606 | 0.016118 | 32 × 32 | 1.459874 | 0.004686 | 0.004686 | 0.003200 | 64 × 64 | 1.464560 | * | * | * |
|
| 4 × 4 | 1.141040 | 0.036247 | 0.048109 | 0.040457 | 8 × 8 | 1.177287 | 0.008428 | 0.011862 | 0.009975 | 16 × 16 | 1.185715 | 0.002704 | 0.003434 | 0.002888 | 32 × 32 | 1.188419 | 0.000730 | 0.000730 | 0.000614 | 64 × 64 | 1.189149 | * | * | * |
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Option parameters: , , , , , , , , , , and = 1 year.
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