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Equilibrium Asset Prices in a Continuous Time Portfolio Optimization Model with Decentralized Dealership Markets


  • Alexis Derviz


The paper introduces a model of price formation in an economy with a decentralized dealership market for each of the traded securities, in continuous time. Each dealer is a competitive liquidity provider for non-dealer investors in the partial market for the given security. Quotes are in the form of strictly monotone pricing schedules. Both dealer and non-dealer investors have costly access to best quotes in the inter-dealer market. The dealers in a particular security have an advantage over other investors in that security in that they observe their respective private order flows of incoming trades. A dealer in a given security uses the observed order flow (coming jointly from other dealers and non-dealers) to improve the subjective estimates of relevant aggregate variables: the return on the security and the aggregate public (i.e. non-dealer) order flow. These sources of uncertainty have diffusion form and are dealt with according to principles of portfolio optimization in continuous time. Dealers are competitive, i.e. all agents are free to approach any dealer. I show how the dealership-based market structure leads to a modification of the traditional Consumption-based CAPM. In the case of informational customer-dealer asymmetries, I derive a formula for the deviation of the transaction price differential from the one prevailing in the full information case. The deviation is shown to be present even if the asymmetry only exists in the knowledge of the aggregate public order flow and does not concern the fundamentals.

Suggested Citation

  • Alexis Derviz, 2001. "Equilibrium Asset Prices in a Continuous Time Portfolio Optimization Model with Decentralized Dealership Markets," Bulletin of the Czech Econometric Society, The Czech Econometric Society, vol. 8(13).
  • Handle: RePEc:czx:journl:v:8:y:2001:i:13:id:97

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    References listed on IDEAS

    1. Dirk Tasche, 2004. "The single risk factor approach to capital charges in case of correlated loss given default rates," Papers cond-mat/0402390,, revised Feb 2004.
    2. Konstantin Belyaev & Aelita Belyaeva & Tomas Konecny & Jakub Seidler & Martin Vojtek, 2012. "Macroeconomic Factors as Drivers of LGD Prediction: Empirical Evidence from the Czech Republic," Working Papers 2012/12, Czech National Bank, Research Department.
    3. Acharya, Viral V. & Bharath, Sreedhar T. & Srinivasan, Anand, 2007. "Does industry-wide distress affect defaulted firms? Evidence from creditor recoveries," Journal of Financial Economics, Elsevier, vol. 85(3), pages 787-821, September.
    4. Jiri Witzany, 2011. "A Two Factor Model for PD and LGD Correlation," Bulletin of the Czech Econometric Society, The Czech Econometric Society, vol. 18(28).
    5. Jon Frye, 2000. "Depressing recoveries," Emerging Issues, Federal Reserve Bank of Chicago, issue Oct.
    6. Stefano Caselli & Stefano Gatti & Francesca Querci, 2008. "The Sensitivity of the Loss Given Default Rate to Systematic Risk: New Empirical Evidence on Bank Loans," Journal of Financial Services Research, Springer;Western Finance Association, vol. 34(1), pages 1-34, August.
    7. Seidler, Jakub & Horvath, Roman & JakubĂ­k, Petr, 2009. "Estimating expected loss given default in an emerging market: the case of Czech Republic," Journal of Financial Transformation, Capco Institute, vol. 27, pages 103-107.
    8. De Graeve, F. & Kick, T. & Koetter, M., 2008. "Monetary policy and financial (in)stability: An integrated micro-macro approach," Journal of Financial Stability, Elsevier, vol. 4(3), pages 205-231, September.
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    More about this item


    dealership market; continuous-time optimization; asset price; asymmetric information; Bayesian learning;

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G29 - Financial Economics - - Financial Institutions and Services - - - Other
    • D49 - Microeconomics - - Market Structure, Pricing, and Design - - - Other
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design


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