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Run lengths and liquidity

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  • Sanjiv Das
  • Paul Hanouna

Abstract

We develop a market-wide illiquidity risk factor based on run lengths and find that it is priced using standard asset-pricing specifications. Our theoretical framework of equity returns derives the result that average run lengths of individual stocks proxy for illiquidity, and are related to common measures of liquidity such as trading volume and trade price-impact. This relationship holds irrespective of the sampling frequency in the computation of run lengths. Thus, liquidity can be quantified by examining a stock’s run length signature, providing a statistical mechanics link across illiquidity metrics. Tests using daily equity return data for all stocks over the period 1962–2005 find that run lengths are decreasing in turnover, and increasing with bid-ask spreads, and price-impact. Illiquidity is shown to be a risk factor/characteristic in explaining equity returns. Copyright Springer Science+Business Media, LLC 2010

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  • Sanjiv Das & Paul Hanouna, 2010. "Run lengths and liquidity," Annals of Operations Research, Springer, vol. 176(1), pages 127-152, April.
    • Handle: RePEc:spr:annopr:v:176:y:2010:i:1:p:127-152:10.1007/s10479-008-0508-x
    DOI: 10.1007/s10479-008-0508-x
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    2. Stanislav Bozhkov & Habin Lee & Uthayasankar Sivarajah & Stella Despoudi & Monomita Nandy, 2020. "Idiosyncratic risk and the cross-section of stock returns: the role of mean-reverting idiosyncratic volatility," Annals of Operations Research, Springer, vol. 294(1), pages 419-452, November.
    3. Konstantinos Konstantaras & Vasilios Sogiakas, 2019. "Is stock liquidity transferred and upgraded in acquisitions? Evidence from liquidity synergies in US freeze-outs," Annals of Operations Research, Springer, vol. 282(1), pages 179-216, November.
    4. Barbara Będowska-Sójka, 2021. "Is liquidity wasted? The zero-returns on the Warsaw Stock Exchange," Annals of Operations Research, Springer, vol. 297(1), pages 37-51, February.
    5. Marcelo Cajias & Philipp Freudenreich & Anna Freudenreich & Wolfgang Schäfers, 2020. "Liquidity and prices: a cluster analysis of the German residential real estate market," Journal of Business Economics, Springer, vol. 90(7), pages 1021-1056, August.
    6. Chen, Jiaqi & Sherif, Mohamed, 2016. "Illiquidity premium and expected stock returns in the UK: A new approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 458(C), pages 52-66.
    7. Das, Sanjiv & Kalimipalli, Madhu & Nayak, Subhankar, 2014. "Did CDS trading improve the market for corporate bonds?," Journal of Financial Economics, Elsevier, vol. 111(2), pages 495-525.
    8. Giacomo Morelli, 2021. "Liquidity drops," Annals of Operations Research, Springer, vol. 299(1), pages 711-719, April.
    9. Chacko, George & Das, Sanjiv & Fan, Rong, 2016. "An index-based measure of liquidity," Journal of Banking & Finance, Elsevier, vol. 68(C), pages 162-178.
    10. Kim, Soonho & Na, Haejung, 2018. "Higher-moment liquidity risks and the cross-section of stock returns," Journal of Financial Markets, Elsevier, vol. 38(C), pages 39-59.

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    Keywords

    Run length; Liquidity;

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