Extracting market information from equity options with exponential Lévy processes

B-Tier
Journal: Journal of Economic Dynamics and Control
Year: 2014
Volume: 38
Issue: C
Pages: 125-141

Authors (3)

Fabozzi, Frank J. (Groupe EDHEC (École de Hautes ...) Leccadito, Arturo (not in RePEc) Tunaru, Radu S. (not in RePEc)

Score contribution per author:

0.670 = (α=2.01 / 3 authors) × 1.0x B-tier

α: calibrated so average coauthorship-adjusted count equals average raw count

Abstract

Lévy processes have been successfully applied in the modeling of financial assets. Useful information such as implied volatility, skewness, and risk-preferences can be derived from market option prices. In this paper, we advocate using Esscher conjugate Lévy processes to estimate risk-neutral and empirical densities. More specifically, we employ the exponential Meixner and NIG processes to calculate in closed form the pricing kernel in the equity market and then study the evolution of equity market behavior between 2002 and 2010. Our empirical analysis using S&P 500 options shows that the risk preferences of equity investors were signalling an anomaly in the market well before the subprime prime mortgage crisis (August 2007) and the crisis of confidence that followed, anticipating the downfall in equity markets in 2008, but then returning to normal levels in 2009.

Technical Details

RePEc Handle
repec:eee:dyncon:v:38:y:2014:i:c:p:125-141
Journal Field
Macro
Author Count
3
Added to Database
2026-01-25