Liquidity commonality does not imply liquidity resilience commonality: A functional characterisation for ultra-high frequency cross-sectional LOB data
We present a large-scale study of commonality in liquidity and resilience across assets in an ultra high-frequency (millisecond-timestamped) Limit Order Book (LOB) dataset from a pan-European electronic equity trading facility. We first show that extant work in quantifying liquidity commonality through the degree of explanatory power of the dominant modes of variation of liquidity (extracted through Principal Component Analysis) fails to account for heavy tailed features in the data, thus producing potentially misleading results. We employ Independent Component Analysis, which both decorrelates the liquidity measures in the asset cross-section, but also reduces higher-order statistical dependencies. To measure commonality in liquidity resilience, we utilise a novel characterisation as the time required for return to a threshold liquidity level. This reflects a dimension of liquidity that is not captured by the majority of liquidity measures and has important ramifications for understanding supply and demand pressures for market makers in electronic exchanges, as well as regulators and HFTs. When the metric is mapped out across a range of thresholds, it produces the daily Liquidity Resilience Profile (LRP) for a given asset. This daily summary of liquidity resilience behaviour from the vast LOB dataset is then amenable to a functional data representation. This enables the comparison of liquidity resilience in the asset cross-section via functional linear sub-space decompositions and functional regression. The functional regression results presented here suggest that market factors for liquidity resilience (as extracted through functional principal components analysis) can explain between 10 and 40% of the variation in liquidity resilience at low liquidity thresholds, but are less explanatory at more extreme levels, where individual asset factors take effect.
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- Thierry Foucault & Ohad Kadan & Eugene Kandel, 2003.
"Limit Order Book as a Market for Liquidity,"
Discussion Paper Series
dp321, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
- Thierry Foucault & Ohad Kadan & Eugene Kandel, 2005. "Limit Order Book as a Market for Liquidity," Post-Print hal-00459785, HAL.
- Thierry Foucault & Ohad Kadan & Eugene Kandel, 2005. "Limit Order Book as a Market for Liquidity," Post-Print halshs-00005043, HAL.
- FOUCAULT, Thierry & KADAN, Ohad & KANDEL, Eugene, 2001. "Limit order book as a market for liquidity," Les Cahiers de Recherche 728, HEC Paris.
- Thierry Foucault & Ohad Kadan & Eugene Kandel, 2011. "Limit Order Book as a Market for Liquidity," Working Papers hal-00597190, HAL.
- Foucault, Thierry & Kadan, Ohad & Kandel, Eugene, 2001. "Limit Order Book as a Market for Liquidity," CEPR Discussion Papers 2889, C.E.P.R. Discussion Papers.
- Loriano Mancini & Angelo Ranaldo & Jan Wrampelmeyer, 2013.
"Liquidity in the Foreign Exchange Market: Measurement, Commonality, and Risk Premiums,"
Journal of Finance,
American Finance Association, vol. 68(5), pages 1805-1841, October.
- Loriano Mancini & Angelo Ranaldo & Jan Wrampelmeyer, 2010. "Liquidity in the Foreign Exchange Market: Measurement, Commonality, and Risk Premiums," Working Papers 2010-03, Swiss National Bank.
- Amihud, Yakov, 2002. "Illiquidity and stock returns: cross-section and time-series effects," Journal of Financial Markets, Elsevier, vol. 5(1), pages 31-56, January.
- Roll, Richard, 1984. " A Simple Implicit Measure of the Effective Bid-Ask Spread in an Efficient Market," Journal of Finance, American Finance Association, vol. 39(4), pages 1127-39, September.
- Brennan, Michael J. & Subrahmanyam, Avanidhar, 1996. "Market microstructure and asset pricing: On the compensation for illiquidity in stock returns," Journal of Financial Economics, Elsevier, vol. 41(3), pages 441-464, July.
- Alex Frino & Vito Mollica & Zeyang Zhou, 2014. "Commonality in Liquidity Across International Borders: Evidence from Futures Markets," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 34(8), pages 807-818, 08.
- Domowitz, Ian & Hansch, Oliver & Wang, Xiaoxin, 2005. "Liquidity commonality and return co-movement," Journal of Financial Markets, Elsevier, vol. 8(4), pages 351-376, November.
- Pastor, Lubos & Stambaugh, Robert F., 2003.
"Liquidity Risk and Expected Stock Returns,"
Journal of Political Economy,
University of Chicago Press, vol. 111(3), pages 642-685, June.
- Luboš Pástor & Robert F. Stambaugh, . "Liquidity Risk and Expected Stock Returns," CRSP working papers 531, Center for Research in Security Prices, Graduate School of Business, University of Chicago.
- Pástor, Luboš & Stambaugh, Robert F., 2002. "Liquidity Risk and Expected Stock Returns," CEPR Discussion Papers 3494, C.E.P.R. Discussion Papers.
- Lubos Pastor & Robert F. Stambaugh, 2001. "Liquidity Risk and Expected Stock Returns," NBER Working Papers 8462, National Bureau of Economic Research, Inc.
- Kylie-Anne Richards & Gareth W. Peters & William Dunsmuir, 2012. "Heavy-Tailed Features and Empirical Analysis of the Limit Order Book Volume Profiles in Futures Markets," Papers 1210.7215, arXiv.org, revised Apr 2015.
- Karnaukh, Nina & Ranaldo, Angelo & Söderlind, Paul, 2013.
"Understanding FX Liquidity,"
Working Papers on Finance
1315, University of St. Gallen, School of Finance, revised Apr 2015.
- Korajczyk, Robert A. & Sadka, Ronnie, 2008. "Pricing the commonality across alternative measures of liquidity," Journal of Financial Economics, Elsevier, vol. 87(1), pages 45-72, January.
- Kyle, Albert S, 1985. "Continuous Auctions and Insider Trading," Econometrica, Econometric Society, vol. 53(6), pages 1315-35, November.
- Amihud, Yakov & Mendelson, Haim, 1986. "Asset pricing and the bid-ask spread," Journal of Financial Economics, Elsevier, vol. 17(2), pages 223-249, December.
- Sklavos, Konstantinos & Dam, Lammertjan & Scholtens, Bert, 2013. "The liquidity of energy stocks," Energy Economics, Elsevier, vol. 38(C), pages 168-175.
- Chordia, Tarun & Roll, Richard & Subrahmanyam, Avanidhar, 2000. "Commonality in liquidity," Journal of Financial Economics, Elsevier, vol. 56(1), pages 3-28, April.
- Marshall, Ben R. & Nguyen, Nhut H. & Visaltanachoti, Nuttawat, 2013. "Liquidity commonality in commodities," Journal of Banking & Finance, Elsevier, vol. 37(1), pages 11-20.
- Chen, Tao & Martin, Elaine & Montague, Gary, 2009. "Robust probabilistic PCA with missing data and contribution analysis for outlier detection," Computational Statistics & Data Analysis, Elsevier, vol. 53(10), pages 3706-3716, August.
- Riordan, Ryan & Storkenmaier, Andreas & Wagener, Martin & Sarah Zhang, S., 2013. "Public information arrival: Price discovery and liquidity in electronic limit order markets," Journal of Banking & Finance, Elsevier, vol. 37(4), pages 1148-1159.
- Paul Brockman & Dennis Y. Chung & Christophe Pérignon, 2009. "Commonality in Liquidity: A Global Perspective," Post-Print hal-00461036, HAL.
- Craig W. Holden & Stacey Jacobsen & Avanidhar Subrahmanyam, 2014. "The Empirical Analysis of Liquidity," Foundations and Trends(R) in Finance, now publishers, vol. 8(4), pages 263-365, December.
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