Valuation of Vix Derivatives

50 Pages Posted: 18 Jan 2010

See all articles by Javier Mencia

Javier Mencia

Banco de España

Enrique Sentana

Centro de Estudios Monetarios y Financieros (CEMFI); Financial Markets Group; Centre for Economic Policy Research (CEPR)

Multiple version iconThere are 3 versions of this paper

Date Written: January 2010

Abstract

We conduct an extensive empirical analysis of VIX derivative valuation models over the 2004-2007 bull market and the subsequent financial crisis. We show that existing models yield large distortions during the crisis because of their restrictive volatility mean reverting assumptions. We propose generalisations with a time varying central tendency, jumps and stochastic volatility, analyse their pricing performance, and their implications for the term structures of VIX futures and options, and the option volatility "skews". We find that a model combining central tendency and stochastic volatility is required to reliably price VIX futures and options, respectively, across bull and bear markets.

Keywords: Central Tendency, Jumps, Stochastic Volatility, Term Structure, Volatility Skews

JEL Classification: G13

Suggested Citation

Mencia, Javier and Sentana, Enrique, Valuation of Vix Derivatives (January 2010). CEPR Discussion Paper No. DP7619. Available at SSRN: https://ssrn.com/abstract=1536338

Javier Mencia (Contact Author)

Banco de España ( email )

Alcala 50
Madrid 28014
Spain
+34 91 338 5414 (Phone)
+34 91 338 6104 (Fax)

HOME PAGE: http://www.bde.es/investigador/staff/66.htm

Enrique Sentana

Centro de Estudios Monetarios y Financieros (CEMFI) ( email )

Casado del Alisal 5
28014 Madrid
Spain
+34 91 429 0551 (Phone)
+34 91 429 1056 (Fax)

HOME PAGE: http://www.cemfi.es/~sentana/

Financial Markets Group

Houghton Street
London School of Economics & Political Science (LSE)
London WC2A 2AE
United Kingdom
+44 20 7955 7002 (Phone)
+44 20 7852 3580 (Fax)

Centre for Economic Policy Research (CEPR)

London
United Kingdom

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