A Non-Structural Investigation of VIX Risk Neutral Density

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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, in some cases, they outperform commonly used non-parametric methods. 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.
OriginalsprogEngelsk
TidsskriftJournal of Banking & Finance
Vol/bind99
Sider (fra-til)1-20
Antal sider20
ISSN0378-4266
DOI
StatusUdgivet - 2019

    Forskningsområder

  • VIX options, Orthogonal expansions, Risk-neutral moments, Volatility jumps, Volatility tail-risk

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