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On the Interpretation of Price Adjustments and Demand in Asset Pricing Models with Mean-Variance Optimization

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  • Franke, Reiner

Abstract

With reference to the class of asset pricing models with a market maker and mean-variance optimization of speculative agents, the note seeks to clarify the concepts behind the price adjustment rule, which are often treated somewhat carelessly in this literature. Calling attention to the distinction between the agents? desired holding of the risky asset and the desired change in their position, the following conclusion is drawn. If market prices are said to adjust in the direction of excess demand, then the story of the maximization of expected wealth should be dropped. On the other hand, the story could be perfectly maintained if the market maker were assumed to adjust prices inversely to his accumulated inventory.

Suggested Citation

  • Franke, Reiner, 2008. "On the Interpretation of Price Adjustments and Demand in Asset Pricing Models with Mean-Variance Optimization," Economics Working Papers 2008-13, Christian-Albrechts-University of Kiel, Department of Economics.
    • Handle: RePEc:zbw:cauewp:7366
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    References listed on IDEAS

    as
    1. 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.
    2. Farmer, J. Doyne & Joshi, Shareen, 2002. "The price dynamics of common trading strategies," Journal of Economic Behavior & Organization, Elsevier, vol. 49(2), pages 149-171, October.
    3. He, Xue-Zhong & Li, Youwei, 2007. "Power-law behaviour, heterogeneity, and trend chasing," Journal of Economic Dynamics and Control, Elsevier, vol. 31(10), pages 3396-3426, October.
    4. Bottazzi, Giulio & Dosi, Giovanni & Rebesco, Igor, 2005. "Institutional architectures and behavioral ecologies in the dynamics of financial markets," Journal of Mathematical Economics, Elsevier, vol. 41(1-2), pages 197-228, February.
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    Citations

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    Cited by:

    1. Daniel Fricke & Thomas Lux, 2015. "The effects of a financial transaction tax in an artificial financial market," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 10(1), pages 119-150, April.
    2. Yu Zhang & Weihong Huang, 2018. "Impact of strategy switching on wealth accumulation," Journal of Evolutionary Economics, Springer, vol. 28(4), pages 961-983, September.
    3. Franke, Reiner, 2008. "Artificial Long Memory Effects in Two Agend-Based Asset Pricing Models," Economics Working Papers 2008-15, Christian-Albrechts-University of Kiel, Department of Economics.
    4. Dieci, Roberto & Westerhoff, Frank, 2010. "Heterogeneous speculators, endogenous fluctuations and interacting markets: A model of stock prices and exchange rates," Journal of Economic Dynamics and Control, Elsevier, vol. 34(4), pages 743-764, April.

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    More about this item

    Keywords

    Expected wealth maximization; market maker; positions of speculative agents;
    All these keywords.

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General

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