Research Article
An Ornstein–Uhlenbeck Model with the Stochastic Volatility Process and Tempered Stable Process for VIX Option Pricing
Table 5
Parameter estimation of our proposed models with a measure of change under the risk neutral measure.
| | Models | Estimation of parameters |
| OUSV-CGMY | | | | | | | −1.129E-1 | 1.846E-2 | 5.484E-3 | 1.520E0 | 3.950E0 | 1.354E1 | | | | | | | 1.384E1 | 2.365E-7 | 3.077E-6 | 1.119E3 | 7.522E-2 | |
| OUSV-CTS | | | | | | | −1.126E1 | 1.855E-2 | 5.512E-3 | 1.520E0 | 3.950E0 | 3.950E0 | | | | | | | 1.354E1 | 1.384E1 | 2.377E-7 | 3.170E-6 | 1.125E3 | 7.506E-2 |
| OUSV-CGMY-V | | | | | | | −9.489E-2 | 2.054E-2 | 4.007E-6 | 8.477E-1 | 70122E1 | 1.418E1 | | | | | | | 1.440E1 | 1.911E-6 | 9.008E-7 | 3.583E2 | 9.681E-2 | |
| OUSV-CTS-V | | | | | | | −9.338E-2 | 1.618E-2 | −1.380E-5 | 6.217E-1 | 8.487E1 | 8.785E1 | | | | | | | 1.165E1 | 1.299E1 | 6.514E-6 | 6.672E-6 | 1.012E2 | 8.988E-2 |
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