Research Article
Geometric Asian Options Pricing under the Double Heston Stochastic Volatility Model with Stochastic Interest Rate
Table 1
option prices with different maturities, strike prices, and varying n.
| | | | Option price | CPU (sec.) | | | | Option price | CPU (sec.) |
| 0.5 | 90 | 5 | 17.8597 | 0.287 | 1.5 | 90 | 5 | 26.4805 | 0.291 | | | 10 | 17.7859 | 0.291 | | | 10 | 25.2393 | 0.294 | | | 15 | 17.7849 | 0.294 | | | 15 | 25.2254 | 0.299 | | | 20 | 17.7849 | 0.296 | | | 20 | 25.2251 | 0.302 | | | 25 | 17.7849 | 0.301 | | | 25 | 25.2251 | 0.307 | | | 30 | 17.7849 | 0.312 | | | 30 | 25.2251 | 0.315 | | 100 | 5 | 9.7733 | 0.279 | | 100 | 5 | 19.8642 | 0.276 | | | 10 | 9.8624 | 0.288 | | | 10 | 19.1846 | 0.285 | | | 15 | 9.8623 | 0.290 | | | 15 | 19.1758 | 0.290 | | | 20 | 9.8623 | 0.295 | | | 20 | 19.1755 | 0.302 | | | 25 | 9.8623 | 0.298 | | | 25 | 19.1755 | 0.309 | | | 30 | 9.8623 | 0.302 | | | 30 | 19.1755 | 0.311 | | 110 | 5 | 4.2061 | 0.283 | | 110 | 5 | 14.1405 | 0.283 | | | 10 | 4.5395 | 0.291 | | | 10 | 14.0976 | 0.291 | | | 15 | 4.5415 | 0.304 | | | 15 | 14.1003 | 0.297 | | | 20 | 4.5415 | 0.306 | | | 20 | 14.1002 | 0.304 | | | 25 | 4.5415 | 0.312 | | | 25 | 14.1002 | 0.310 | | | 30 | 4.5415 | 0.315 | | | 30 | 14.1002 | 0.315 |
| 1 | 90 | 5 | 22.3192 | 0.268 | 3 | 90 | 5 | 30.5831 | 0.289 | | | 10 | 22.0988 | 0.283 | | | 10 | 29.6250 | 0.293 | | | 15 | 22.0938 | 0.287 | | | 15 | 29.2870 | 0.299 | | | 20 | 22.0938 | 0.296 | | | 20 | 29.2835 | 0.305 | | | 25 | 22.0938 | 0.313 | | | 25 | 29.2835 | 0.314 | | | 30 | 22.0938 | 0.319 | | | 30 | 29.2835 | 0.317 | | 100 | 5 | 15.0971 | 0.281 | | 100 | 5 | 26.7286 | 0.268 | | | 10 | 15.1874 | 0.287 | | | 10 | 25.6231 | 0.284 | | | 15 | 15.1850 | 0.294 | | | 15 | 25.3192 | 0.291 | | | 20 | 15.1849 | 0.298 | | | 20 | 25.3151 | 0.295 | | | 25 | 15.1849 | 0.301 | | | 25 | 25.3151 | 0.298 | | | 30 | 15.1849 | 0.307 | | | 30 | 25.3151 | 0.307 | | 110 | 5 | 9.2791 | 0.275 | | 110 | 5 | 22.5318 | 0.281 | | | 10 | 9.7604 | 0.278 | | | 10 | 21.9684 | 0.284 | | | 15 | 9.7650 | 0.281 | | | 15 | 21.7105 | 0.297 | | | 20 | 9.7651 | 0.292 | | | 20 | 21.7064 | 0.301 | | | 25 | 9.7651 | 0.294 | | | 25 | 21.7064 | 0.305 | | | 30 | 9.7651 | 0.301 | | | 30 | 21.7064 | 0.310 |
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