Were Stocks During the Financial Crisis More Jumpy: A Comparative Study

This paper empirically analysis the price jump behavior of heavily traded US stocks during the recent financial crisis. Namely, I test the hypothesis that the recent financial turmoil caused no change in the price jump behavior. To accomplish this, I employ data on realized trades for 16 stocks and one ETF from the NYSE database. These data are at a 1-minute frequency and span the period from January 2008 to the end of July 2009, where the recent financial crisis is generally understood to start with the plunge of Lehman Brothers shares on September 9, 2008. I employ five model-independent and three model-dependent price jump indicators to robustly assess the price jump behavior. The results confirm an increase in overall volatility during the recent financial crisis; however, the results cannot reject the hypothesis that there was no change in price jump behavior in the data during the financial crisis. This implies that the uncertainty during the crisis was scaled up but the structure of the uncertainty seems to be the same.

[1]  David S. Bates Jumps and Stochastic Volatility: Exchange Rate Processes Implicit in Thephlx Deutschemark Options , 1993 .

[2]  Jun Pan The Jump-Risk Premia Implicit in Options : Evidence from an Integrated Time-Series Study , 2001 .

[3]  Louis O. Scott Pricing Stock Options in a Jump‐Diffusion Model with Stochastic Volatility and Interest Rates: Applications of Fourier Inversion Methods , 1997 .

[4]  Anil K. Bera,et al.  Efficient tests for normality, homoscedasticity and serial independence of regression residuals , 1980 .

[5]  E. Fama EFFICIENT CAPITAL MARKETS: A REVIEW OF THEORY AND EMPIRICAL WORK* , 1970 .

[6]  H. Kleinert Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets , 2006 .

[7]  J. Bouchaud,et al.  Herd Behavior and Aggregate Fluctuations in Financial Markets , 1997 .

[8]  Christian T. Brownlees,et al.  Financial Econometric Analysis at Ultra-High Frequency: Data Handling Concerns , 2006, Comput. Stat. Data Anal..

[9]  S. Heston A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options , 1993 .

[10]  Jean-Philippe Bouchaud,et al.  Random walks, liquidity molasses and critical response in financial markets , 2004, cond-mat/0406224.

[11]  Davide Pirino,et al.  Jump detection and long range dependence , 2009 .

[12]  R. Gencay,et al.  An Introduc-tion to High-Frequency Finance , 2001 .

[13]  Alex W. H. Chan Merton, Robert C. , 2010 .

[14]  Ananth N. Madhavan,et al.  Market Microstructure: A Survey , 2000 .

[15]  N. Shephard,et al.  Power and bipower variation with stochastic volatility and jumps , 2003 .

[16]  R. C. Merton,et al.  Option pricing when underlying stock returns are discontinuous , 1976 .

[17]  Kenneth R. Vetzal,et al.  The implications of IPO underpricing for the firm and insiders: Tests of asymmetric information theories , 2006 .

[18]  J. Bouchaud,et al.  Theory of Financial Risk and Derivative Pricing: From Statistical Physics to Risk Management , 2011 .

[19]  D. Hirshleifer,et al.  Herd Behaviour and Cascading in Capital Markets: A Review and Synthesis , 2003 .

[20]  F. Witte,et al.  Book Review: Path Integrals in Quantum Mechanics, Statistics, Polymer Physics and Financial Markets. Prof. Dr. Hagen Kleinert, 3rd extended edition, World Scientific Publishing, Singapore , 2003 .

[21]  L. Harris Trading and Exchanges: Market Microstructure for Practitioners , 2002 .

[22]  S. M. Tiniç Derivatives and stock market volatility: Is additional government regulation necessary? , 1995 .

[23]  F. Wilcoxon Individual Comparisons by Ranking Methods , 1945 .

[24]  Mikael Petitjean,et al.  Trading Activity, Realized Volatility and Jumps , 2009 .

[25]  Mark Broadie,et al.  The Effect of Jumps and Discrete Sampling on Volatility and Variance Swaps , 2008 .

[26]  Francis X. Diebold,et al.  Real-Time Price Discovery in Global Stock, Bond and Foreign Exchange Markets , 2006 .

[27]  J. Bouchaud,et al.  Stock price jumps: news and volume play a minor role , 2008, 0803.1769.

[28]  R. Gencay,et al.  An Introduction to Wavelets and Other Filtering Methods in Finance and Economics , 2001 .

[29]  N. Shephard,et al.  Econometrics of Testing for Jumps in Financial Economics Using Bipower Variation , 2005 .

[30]  Hans R. Stoll,et al.  The Components of the Bid-Ask Spread: A General Approach, Reviews of Financial Studies , 1997 .

[31]  Bradford Cornell,et al.  The Reaction of Investors and Stock Prices to Insider Trading , 1992 .

[32]  Christopher J. Neely,et al.  Jumps, Cojumps and Macro Announcements , 2009 .

[33]  Esteban Moro,et al.  Scaling laws of strategic behavior and size heterogeneity in agent dynamics. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[34]  Sean Becketti,et al.  Will increased regulation of stock index futures reduce stock market volatility , 1990 .

[35]  H. B. Mann,et al.  On a Test of Whether one of Two Random Variables is Stochastically Larger than the Other , 1947 .

[36]  Joel Hasbrouck Stalking the "Efficient Price" in Market Microstructure Specifications: An Overview , 2000 .

[37]  Jun Pan The jump-risk premia implicit in options: evidence from an integrated time-series study $ , 2002 .

[38]  Victor M. Yakovenko,et al.  Exponential distribution of financial returns at mesoscopic time lags: a new stylized fact , 2004 .

[39]  Jim Gatheral The Volatility Surface: A Practitioner's Guide , 2006 .

[40]  H. Kleinert,et al.  Boltzmann distribution and market temperature , 2007 .

[41]  P. Mykland,et al.  Jumps in Financial Markets: A New Nonparametric Test and Jump Dynamics , 2008 .

[42]  T. Bollerslev,et al.  No-Arbitrage Semi-Martingale Restrictions for Continuous-Time Volatility Models Subject to Leverage Effects, Jumps and I.I.D. Noise: Theory and Testable Distributional Implications , 2007 .