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Leverage Effect, Volatility Feedback, and Self-Exciting Market Disruptions

Published online by Cambridge University Press:  04 October 2017

Peter Carr  and
Liuren Wu
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Abstract

Equity index volatility variation and its interaction with the index return can come from three distinct channels. First, index volatility increases with the market’s aggregate financial leverage. Second, positive shocks to systematic risk increase the cost of capital and reduce the valuation of future cash flows, generating a negative correlation between the index return and its volatility, regardless of financial leverage. Finally, large negative market disruptions show self-exciting behaviors. This article proposes a model that incorporates all three channels and examines their relative contribution to index option pricing and stock option pricing for different types of companies.

Type
Research Article
Information
Journal of Financial and Quantitative Analysis , Volume 52 , Issue 5 , October 2017 , pp. 2119 - 2156
Copyright
Copyright © Michael G. Foster School of Business, University of Washington 2017 

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Footnotes

1

The authors thank Gurdip Bakshi, Hendrik Bessembinder (the editor), Peter Christoffersen (the referee), Bruno Dupire, Peter Fraenkel, Jingzhi Huang, John Hull, Dilip Madan, Tom McCurdy, George Panayotov, Matthew Richardson, and Allen White, as well as participants at Applied Quantitative Research; Bloomberg; New York University; Rutgers University; the University of Toronto; the 2008 Princeton Implied Volatility Models conference; the 2010 Computational Optimization Models in Statistics, Econometrics and Finance (COMISEF) Latest Developments in Heavy-Tailed Distributions conference; the 2010 China International Conference in Finance; the 2010 Annual Meeting of the Brazilian Finance Society; the 2011 American Finance Association annual meeting; and the 2011 CUNY Macro and Finance Colloquium for comments. We also thank Sergey Nadtochiy for research assistance and Richard Holowczak for computing support. Wu gratefully acknowledges the support by a grant from the City University of New York PSC-CUNY Research Award Program.

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