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A non-structural investigation of VIX risk neutral density

Andrea Barletta, Paolo Santucci de Magistris () and Francesco Violante ()

Journal of Banking & Finance, 2019, vol. 99, issue C, 1-20

Abstract: We propose a non-structural method to retrieve the risk-neutral density (RND) implied by options on the CBOE Volatility Index (VIX). The methodology is based on orthogonal polynomial expansions around a kernel density and yields the RND of the underlying asset without the need for a parametric specification. The classic family of Laguerre expansions is extended to include the GIG and the generalized Weibull kernels. We show that orthogonal polynomial expansions yield accurate approximations of the RND of VIX and they generally outperform commonly used non-parametric methods when controlling for accuracy. Based on a panel of observed VIX options, we retrieve the variance swap term structure, the time series of VVIX, the VIX risk-neutral moments and the Volatility-at-Risk, which reveal a number of stylized facts on the RND of VIX.

Keywords: VIX Options; Orthogonal expansions; Risk-neutral moments; Volatility jumps; Volatility tail-risk (search for similar items in EconPapers)
JEL-codes: C01 C02 C58 G12 G13 (search for similar items in EconPapers)
Date: 2019
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Working Paper: A Non-Structural Investigation of VIX Risk Neutral Density (2017) Downloads
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Handle: RePEc:eee:jbfina:v:99:y:2019:i:c:p:1-20