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A Formal Dynamic Model of Market Making

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  • Bradfield, James

Abstract

In a recent issue of this journal Barnea [1] presented an empirical study of the impact of a specialist (market-maker) on the variability of the price of a stock. He concludes with others that “the chief cost of dealing with a market maker is the difference between the theoretical but unobservable equilibrium price and the transaction price, rather than the bid-ask spread.” This paper presents a rigorous dynamic model in which the specialist, who is uncertain about the future arrival of tenders, determines transaction prices periodically over the trading day. The structure of the model permits a direct comparison of the specialist's prices to the “equilibrium price,” to be defined below, and also to what prices would be in the absence of a specialist.

Suggested Citation

  • Bradfield, James, 1979. "A Formal Dynamic Model of Market Making," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 14(2), pages 275-291, June.
    • Handle: RePEc:cup:jfinqa:v:14:y:1979:i:02:p:275-291_00
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    Cited by:

    1. Adrian, Tobias & Capponi, Agostino & Fleming, Michael & Vogt, Erik & Zhang, Hongzhong, 2020. "Intraday market making with overnight inventory costs," Journal of Financial Markets, Elsevier, vol. 50(C).
    2. Mr. Torbjorn I. Becker & Mr. Amadou N Sy, 2005. "Were Bid-Ask Spreads in the Foreign Exchange Market Excessive During the Asian Crisis?," IMF Working Papers 2005/034, International Monetary Fund.
    3. Agostino Capponi & Jos'e E. Figueroa-L'opez & Chuyi Yu, 2021. "Market Making with Stochastic Liquidity Demand: Simultaneous Order Arrival and Price Change Forecasts," Papers 2101.03086, arXiv.org.
    4. He, Xue-Zhong & Zheng, Min, 2010. "Dynamics of moving average rules in a continuous-time financial market model," Journal of Economic Behavior & Organization, Elsevier, vol. 76(3), pages 615-634, December.
    5. Jonathan Ch'avez-Casillas & Jos'e E. Figueroa-L'opez & Chuyi Yu & Yi Zhang, 2024. "Adaptive Optimal Market Making Strategies with Inventory Liquidation Cos," Papers 2405.11444, arXiv.org.
    6. Reiner Franke & Toichiro Asada, 2008. "Incorporating positions into asset pricing models with order-based strategies," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 3(2), pages 201-227, December.
    7. Carraro, Alessandro & Ricchiuti, Giorgio, 2015. "Heterogeneous fundamentalists and market maker inventories," Chaos, Solitons & Fractals, Elsevier, vol. 79(C), pages 73-82.
    8. Zhu, Mei & Chiarella, Carl & He, Xue-Zhong & Wang, Duo, 2009. "Does the market maker stabilize the market?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(15), pages 3164-3180.
    9. Becker, Torbjorn & Sy, Amadou, 2006. "Were bid-ask spreads in the FX market excessive during the Asian crisis?," International Review of Financial Analysis, Elsevier, vol. 15(4-5), pages 434-449.
    10. Franke, Reiner, 2009. "A prototype model of speculative dynamics with position-based trading," Journal of Economic Dynamics and Control, Elsevier, vol. 33(5), pages 1134-1158, May.

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