Research Article
Geometric Asian Options Pricing under the Double Heston Stochastic Volatility Model with Stochastic Interest Rate
Table 2
Comparison of the approximated approach and MC for
options.
| | | Approximated approach | CPU(sec.) | Monte Carlo | CPU(sec.) | RE(%) |
| 0.5 | 90 | 17.7849 | 0.284 | 17.7892 | 110.302 | -0.0242 | | 95 | 13.5305 | 0.291 | 13.5246 | 110.384 | 0.0436 | | 100 | 9.8623 | 0.278 | 9.8602 | 110.403 | 0.0213 | | 105 | 6.8598 | 0.296 | 6.8624 | 110.329 | -0.3810 | | 110 | 4.5415 | 0.287 | 4.5407 | 110.376 | 0.0176 |
| 1.5 | 90 | 25.2251 | 0.265 | 25.2206 | 110.376 | 0.0178 | | 95 | 22.0851 | 0.281 | 22.0891 | 110.391 | -0.0181 | | 100 | 19.1755 | 0.294 | 19.1787 | 110.417 | -0.0167 | | 105 | 16.5109 | 0.312 | 16.5045 | 110.485 | 0.3888 | | 110 | 14.1002 | 0.293 | 14.1039 | 110.392 | -0.0262 |
| 3 | 90 | 29.2835 | 0.271 | 29.2894 | 110.428 | -0.0201 | | 95 | 27.2560 | 0.289 | 27.2513 | 110.397 | 0.0173 | | 100 | 25.3151 | 0.307 | 25.3106 | 110.405 | 0.0178 | | 105 | 23.4644 | 0.295 | 23.4595 | 110.471 | 0.0209 | | 110 | 21.7065 | 0.292 | 21.7128 | 110.396 | -0.0290 |
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