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Modeling Electronic FX Brokerage as a Fast Order-Driven Marketunder Heterogeneous Private Values and Information

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Author Info
Alexis Derviz () (Czech National Bank, Monetary and Statistics Department, Prague, Czech republic)

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Abstract

The paper develops a theoretical framework for studying price formation in brokered foreign exchange markets with very high order arrival frequency (to be followed by an application to real data on Czech koruna transactions in subsequent work). I construct a model of an order-driven market with very volatile motives for trade and a large number of (nearly) simultaneous limit and market order submissions. The model is applicable to very frequently traded securities such as high-grade bonds or FX. Investors have a non-trivial distribution of private values for the traded asset as well as heterogeneous information about the parameters of this distribution across traders. I investigate the properties of the mapping from the histogram of private asset values and private information endowments to the inside bid and ask price. Basic relationships between the limit order book, market sell and market buy order flow distributions, expected market order execution prices and the probabilities of a limit order execution at a given price, all as functions of private information, are derived. Traders are risk neutral as long as the transacted quantities are small, so that the limit and the market order decisions within one trading round do not feed back into private values. I formulate the equations that characterize the best ask and bid prices in this environment, as well as establish a number of properties of the equilibrium order book.

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Publisher Info
Paper provided by Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies in its series Working Papers IES with number 2007/16.

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Length: 36 pages
Date of creation: May 2007
Date of revision: May 2007
Handle: RePEc:fau:wpaper:wp2007_16

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Related research
Keywords: broker limit order market order market maker private value signal

Find related papers by JEL classification:
G12 - Financial Economics - - General Financial Markets - - - Asset Pricing
G14 - Financial Economics - - General Financial Markets - - - Information and Market Efficiency; Event Studies
G19 - Financial Economics - - General Financial Markets - - - Other
G21 - Financial Economics - - Financial Institutions and Services - - - Banks; Other Depository Institutions; Mortgages

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Nauro F. Campos & Roman Horváth, 2006. "Reform Redux: Measurement, Determinants and Reversals," Working Papers IES 2006/16, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, revised Apr 2006. [Downloadable!]
    Other versions:
  2. Parlour, Christine A, 1998. "Price Dynamics in Limit Order Markets," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 11(4), pages 789-816.
  3. Michal Bauer & Julie Chytilová & Pavel Streblov, 2006. "Effects of Education on Determinants of High Desired Fertility: Evidence from Ugandan Villages," Working Papers IES 2006/23, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, revised Sep 2006. [Downloadable!]
    Other versions:
  4. Natálie Reichlová & Petr Švarc, 2006. "Strategic Referring in Labor Market Social Networks," Working Papers IES 2006/29, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, revised Dec 2006. [Downloadable!]
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    Other versions:
  6. Foucault, Thierry, 1999. "Order flow composition and trading costs in a dynamic limit order market1," Journal of Financial Markets, Elsevier, vol. 2(2), pages 99-134, May. [Downloadable!] (restricted)
  7. Kenneth A. Froot & Tarun Ramadorai, 2005. "Currency Returns, Intrinsic Value, and Institutional-Investor Flows," Journal of Finance, American Finance Association, vol. 60(3), pages 1535-1566, 06. [Downloadable!] (restricted)
  8. Alexis Derviz, 2003. "FOREX Microstructure, Invisible Price Determinants, and the Central Bank's Understanding of Exchange Rate Formation," Working Papers 2003/06, Czech National Bank, Research Department. [Downloadable!]
  9. Kyle, Albert S, 1985. "Continuous Auctions and Insider Trading," Econometrica, Econometric Society, vol. 53(6), pages 1315-35, November. [Downloadable!] (restricted)
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  11. Glosten, Lawrence R, 1994. " Is the Electronic Open Limit Order Book Inevitable?," Journal of Finance, American Finance Association, vol. 49(4), pages 1127-61, September. [Downloadable!] (restricted)
  12. Danielsson, J. & Payne, R., 2002. "Real trading patterns and prices in spot foreign exchange markets," Journal of International Money and Finance, Elsevier, vol. 21(2), pages 203-222, April. [Downloadable!] (restricted)
    Other versions:
  13. Biais, Bruno & Hillion, Pierre & Spatt, Chester, 1995. " An Empirical Analysis of the Limit Order Book and the Order Flow in the Paris Bourse," Journal of Finance, American Finance Association, vol. 50(5), pages 1655-89, December. [Downloadable!] (restricted)
  14. Handa, Puneet & Schwartz, Robert A, 1996. " Limit Order Trading," Journal of Finance, American Finance Association, vol. 51(5), pages 1835-61, December. [Downloadable!] (restricted)
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