Stochastic jump intensity models

2018 ◽  
Vol 7 (1-2) ◽  
pp. 63-75
Author(s):  
P.E. Lévy dit Véhel ◽  
J. Lévy Véhel
Keyword(s):  
Stochastic Jump ◽  
Jump Intensity

Time-Varying Skew in VIX Derivatives Pricing

2021 ◽  
Author(s):  
Peixuan Yuan
Keyword(s):  
Reduced Form ◽  
Time Varying ◽  
Derivatives Pricing ◽  
Nested Models ◽  
Stochastic Jump ◽  
Out Of Sample ◽  
Jump Intensity ◽  
Form Model ◽  
Reduced Form Model ◽  
Vix Derivatives

This paper proposes a new reduced-form model for the pricing of VIX derivatives that includes an independent stochastic jump intensity factor and cojumps in the level and variance of VIX, while allowing the mean of VIX variance to be time varying. I fit the model to daily prices of futures and European options from April 2007 through December 2017. The empirical results indicate that the model significantly outperforms all other nested models and improves on benchmark by 21.6% in sample and 31.2% out of sample. The model more accurately portrays the tail behavior of VIX risk-neutral distribution for both short and long maturities, as it better captures the time-varying skew found to be largely independent of the level of the VIX smile. This paper was accepted by Kay Giesecke, finance.

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