Research Article
An Ornstein–Uhlenbeck Model with the Stochastic Volatility Process and Tempered Stable Process for VIX Option Pricing
Table 4
Parameter estimation of our proposed models without a measure of change under the risk neutral measure.
| Models | Estimation of parameters |
| OUSV-CGMY | | | | | | | 9.903E-2 | 3.928E-2 | −5.347E-3 | 1.978E-3 | 1.916E-10 | 1.702E-4 | | | | | | | 1.389E-9 | 3.413E-3 | 1.746E-2 | 8.866E-1 | 1.099E-3 | |
| OUSV-CTS | | | | | | | 9.741E-2 | 3.610E-2 | −5.545E-3 | 8.284E-1 | 1.011E-2 | 1.819E-2 | | | | | | | 1.082EE-8 | 8.019E-1 | 2.084E-3 | 9.439E-8 | 1.274E0 | 8.042E-4 |
| OUSV-CGMY-V | | | | | | | 9.903E-2 | 3.960E-2 | −5.404E-3 | 2.593E1 | 2.517E-5 | 5.667E-3 | | | | | | | 1.915E-2 | 9.843E-3 | 3.328E-4 | 3.890E-1 | 2.418E-3 | |
| OUSV-CTS-V | | | | | | | 9.719E-2 | 3.552E-2 | −5.303E-3 | 9.688E-1 | 1.622E-2 | 1.858E-2 | | | | | | | 2.907E-7 | 1.924E0 | 9.231E-4 | 1.196E-8 | 2.609E0 | 5.117E-4 |
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