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Liquidity drops

  • S.I.: Recent Developments in Financial Modeling and Risk Management
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Abstract

This papers examines the connection between the trading market and liquidity in a simple model with informed and uninformed traders. When agents in the market have plenty of information, assets are traded frequently. However, when news arrives the informed trader behaves as predator making profit from that news, this in turn leading to sudden drops in liquidity which I refer to as liquidity drops.

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Notes

  1. Cf. Mr Nout Wellink, Chairman of the Basel Committee on Banking Supervision and President of the Netherlands Bank, speech at Basel III, 2013.

  2. Al Janabi (2013), studies the Liquidity-Adjusted VaR.

  3. The law for this type of processes under rough volatility is studied in Morelli (2018).

References

  • Al Janabi, M. A. (2013). Optimal and coherent economic-capital structures: Evidence from long and short-sales trading positions under illiquid market perspectives. Annals of Operations Research, 205(1), 109–139.

    Article  Google Scholar 

  • Allen, F., & Gale, D. (1998). Optimal financial crises. The Journal of Finance, 53(4), 1245–1284.

    Article  Google Scholar 

  • Amendinger, J., Imkeller, P., & Schweizer, M. (1998). Additional logarithmic utility of an insider. Stochastic Processes and Their Applications, 75(2), 263–286.

    Article  Google Scholar 

  • Back, K. (1992). Insider trading in continuous time. The Review of Financial Studies, 5(3), 387–409.

    Article  Google Scholar 

  • Back, K. (1993). Asymmetric information and options. The Review of Financial Studies, 6(3), 435–472.

    Article  Google Scholar 

  • Bahaj, S., & Malherbe, F. (2018). The forced safety effect: How higher capital requirements can increase bank lending.

  • Basel III, BCBS. (2013). The liquidity coverage ratio and liquidity risk monitoring tools. Bank for International Settlements.

  • Carlin, B. I., Lobo, M. S., & Viswanathan, S. (2007). Episodic liquidity crises: Cooperative and predatory trading. The Journal of Finance, 62(5), 2235–2274.

    Article  Google Scholar 

  • Christensen, K., Oomen, R. C., & Renò, R. (2018). The drift burst hypothesis. Available at SSRN 2842535.

  • Das, S. R., & Hanouna, P. (2010). Run lengths and liquidity. Annals of Operations Research, 176(1), 127–152.

    Article  Google Scholar 

  • Delbaen, F., & Schachermayer, W. (1994). A general version of the fundamental theorem of asset pricing. Mathematische Annalen, 300(1), 463–520.

    Article  Google Scholar 

  • Dermine, J. (2015). Basel iii leverage ratio requirements and the probability of bank runs. Journal of Banking and Finance, 53, 266–277.

    Article  Google Scholar 

  • Diamond, D. W., & Dybvig, P. H. (1983). Bank runs, deposit insurance, and liquidity. Journal of Political Economy, 91(3), 401–419.

    Article  Google Scholar 

  • Duffie, D. (2017). Financial regulatory reform after the crisis: An assessment. Management Science, 64(10), 4835–4857.

    Article  Google Scholar 

  • Grorud, A., & Pontier, M. (1998). Insider trading in a continuous time market model. International Journal of Theoretical and Applied Finance, 1(03), 331–347.

    Article  Google Scholar 

  • Imkeller, P., Pontier, M., & Weisz, F. (2001). Free lunch and arbitrage possibilities in a financial market model with an insider. Stochastic Processes and Their Applications, 92(1), 103–130.

    Article  Google Scholar 

  • Jacklin, C. J., & Bhattacharya, S. (1988). Distinguishing panics and information-based bank runs: Welfare and policy implications. Journal of Political Economy, 96(3), 568–592.

    Article  Google Scholar 

  • Jacod, J. (1985). Grossissement initial, hypothèse (h’) et théorème de girsanov. In Grossissements de filtrations: exemples et applications, pp. 15–35. Springer.

  • Jeulin, T. (2006). Semi-martingales et grossissement d’une filtration (Vol. 833). Berlin: Springer.

    Google Scholar 

  • Jeulin, T., & Yor, M. (1978). Grossissement d’une filtration et semi-martingales: formules explicites. In Séminaire de Probabilités XII, pp. 78–97. Springer.

  • Kyle, A.S. (1985). Continuous auctions and insider trading. Econometrica: Journal of the Econometric Society, pp. 1315–1335.

  • Malherbe, F. (2014). Self-fulfilling liquidity dry-ups. The Journal of Finance, 69(2), 947–970.

    Article  Google Scholar 

  • Morelli, G. (2018). Bounds for the supremum of mean reverting fractional processes. LUISS University.

  • Morris, S., & Shin, H. S. (2009). Illiquidity components of credit risk. Princeton University.

  • Nualart, D. (1995). The Malliavin calculus and related topics. New York: Springer.

    Book  Google Scholar 

  • O’hara, M., (1995). Market microstructure theory (Vol. 108). Cambridge: Blackwell Publishers.

  • Pikovsky, I., & Karatzas, I. (1996). Anticipative portfolio optimization. Advances in Applied Probability, 28(4), 1095–1122.

    Article  Google Scholar 

  • Pikovsky, I., & Karatzas, I. (1997). Market equilibrium with differential information. New York: Preprint, Columbia University.

    Google Scholar 

  • Rösch, C. G., & Kaserer, C. (2013). Market liquidity in the financial crisis: The role of liquidity commonality and flight-to-quality. Journal of Banking and Finance, 37(7), 2284–2302.

    Article  Google Scholar 

  • Shleifer, A., & Vishny, R. (2011). Fire sales in finance and macroeconomics. Journal of Economic Perspectives, 25(1), 29–48.

    Article  Google Scholar 

  • Sun, E. W., Kruse, T., & Chen, Y.-T. (2019). Stylized algorithmic trading: Satisfying the predictive near-term demand of liquidity. Annals of Operations Research,. https://doi.org/10.1007/s10479-019-03150-0.

    Article  Google Scholar 

  • Yor, M. (1985a). Entropie d’une partition, et grossissement initial d’une filtration. In Grossissements de filtrations: exemples et applications, pp. 45–58. Springer.

  • Yor, M. (1985b). Inégalités de martingales continues arrêtées à un temps quelconque. In Grossissements de filtrations: exemples et applications, pp. 110–146. Springer.

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Correspondence to Giacomo Morelli.

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I am indebted to Roy Cerqueti and Rita D’Ecclesia. I thank Carol Alexander, Christian Brownlees, Damiano Brigo, Maria Chiarolla, Xavier Freixas, Eulalia Nualart, Alessio Sancetta, Paolo Santucci de Magistris, Marco Scarsini and a reviewer for insightful comments and suggestions that improved the quality of this work.

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Morelli, G. Liquidity drops. Ann Oper Res 299, 711–719 (2021). https://doi.org/10.1007/s10479-019-03285-0

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