Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/102378 
Year of Publication: 
2013
Series/Report no.: 
Manchester Business School Working Paper No. 635
Publisher: 
The University of Manchester, Manchester Business School, Manchester
Abstract: 
Using the joint characteristic function of equity price and state variables, we can price contingent claims on both equity and VIX consistently. Based on linear approximation of jump size, we show that one factor models implies all VIX future contract of different maturities are perfectly correlated in contrast to market observations. In the examples of multi-factor model, we demonstrate how to calculate the optimal hedging ratio for VIX future to hedge VIX option. We derived the unconditional correlation term structure of VIX future implied by the model based on the stationary distribution of state variables. We show multifactor models that are calibrated to the two voaltility surfaces will produce very different hedge ratios for VIX options.
Subjects: 
SPX Volatility Surface
VIX Volatility Surface
VIX Futures
VIX Options
Hedge Ratio
JEL: 
G12
G13
Document Type: 
Working Paper

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