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LIQUIDITY PROVISION IN CAPACITY-CONSTRAINED MARKETS

Published online by Cambridge University Press:  13 April 2011

Pierre-Olivier Weill*
Affiliation:
University of California, Los Angeles and National Bureau of Economic Research
*
Address correspondence to: Pierre-Olivier Weill, 8283 Bunche Hall, Department of Economics, University of California, Los Angeles, Los Angeles, CA 90095, USA; e-mail: [email protected].

Abstract

We study a competitive dynamic financial market subject to a transient selling pressure when market makers face a capacity constraint on their number of trades per unit of time with outside investors. We show that profit-maximizing market makers provide liquidity in order to manage their trading capacity constraint optimally over time: they use slack trading capacity early to accumulate assets when the selling pressure is strong in order to relax their trading capacity constraint and sell to buyers more quickly when the selling pressure subsides. When the trading capacity constraint binds, the bid–ask spread is strictly positive, widening and narrowing as market makers build up and unwind their inventories. Because the equilibrium asset allocation is constrained Pareto-optimal, the time variations in bid–ask spread are not a symptom of inefficient liquidity provision.

Type
Articles
Copyright
Copyright © Cambridge University Press 2011

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References

REFERENCES

Black, Fischer (1971) Towards a fully automated exchange, part i. Financial Analyst Journal 27, 2934.Google Scholar
Brunnermeier, Markus K. and Pedersen, Lasse H. (2009) Funding liquidity and market liquidity. Review of Financial Studies 22, 22012238.Google Scholar
Burdett, Kenneth, Shi, Shouyong, and Wright, Randall (2001) Pricing and matching with frictions. Journal of Political Economy 109, 10601085.CrossRefGoogle Scholar
Christie, William G. and Schultz, Paul H. (1998) Dealer markets under stress: The performance of nasdaq market makers during the November 15, 1991, market break. Journal of Financial Services Research 13, 205229.CrossRefGoogle Scholar
Comerton-Forde, Carole, Hendershott, Terry, Jones, Charles M., Moulton, Pamela, and Seasholes, Mark S. (2010) Time variation in liquidity: The role of market maker inventories and revenues. Journal of Finance 65, 295331.CrossRefGoogle Scholar
Duffie, Darrell, Gârleanu, Nicolae, and Pedersen, Lasse H. (2005) Over-the-counter markets. Econometrica 73, 18151847.CrossRefGoogle Scholar
Greenwood, Robin (2005) Short and long-term demand curves for stocks: Theory and evidence on the dynamics of arbitrage. Journal of Financial Economics 75, 607650.CrossRefGoogle Scholar
Gromb, Denis and Vayanos, Dimitri (2002) Equilibrium and welfare in markets with financially constraint arbitrageurs. Journal of Financial Economics 66, 361407.CrossRefGoogle Scholar
Grossman, Sanford J. and Miller, Merton H. (1988) Liquidity and market structure. Journal of Finance 43, 617637.Google Scholar
Hendershott, Terry and Seasholes, Mark S. (2007) Marketmaker inventories and stock prices. American Economic Review Papers and Proceedings 97, 210214.CrossRefGoogle Scholar
Ho, Thomas and Stoll, Hans R. (1981) Optimal dealer pricing under trading transactions and return uncertainty. Journal of Financial Economics 9, 4773.Google Scholar
Jones, Charles M. (2002) A Century of Stock Market Liquidity and Trading Costs. Working paper, Columbia Graduate School Business.CrossRefGoogle Scholar
Lagos, Ricardo, Rocheteau, Guillaume, and Weill, Pierre-Olivier (2008) Crashes and Recovered in Liquidity Markets. Working paper, NewYork University, University of California, Irvine, University of California, Los Angeles.Google Scholar
Lagos, Ricardo, Rocheteau, Guillaume, and Weill, Pierre-Olivier (2010) Crises and Liquidity in OTC Markets. Working paper, New York University, University of California, Irvine, University of California, Los Angeles.Google Scholar
Mas-Colell, Andreu, Whinston, Michael D., and Green, Jerry R. (1999) Microeconomic Theory. Oxford, UK: Oxford University Press.Google Scholar
Seierstad, Atle and Sydsæter, Knut (1977) Sufficient conditions in optimal control theory. International Economic Review 18, 367391.CrossRefGoogle Scholar
Weill, Pierre-Olivier (2007) Leaning against the wind. Review of Economic Studies 74, 13291354.Google Scholar