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A prototype model of speculative dynamics with position-based trading

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  • Franke, Reiner

Abstract

The paper extracts a prototype asset pricing model from the literature where a market maker adjusts prices in response to order imbalances and the strategies of fundamentalists and chartists are position-based, that is, the two groups are specified in terms of their desired holdings. The deterministic formulation of the model leads to a neutral delay-differential equation of the price, whose mathematical analysis is non-standard and may be of independent interest. The stability conditions are nevertheless quite analogous to the order-based Beja-Goldman model. The effects of parameter variations are also studied in a stochastic setting, where special emphasis is put on the misalignment between price and the time-varying fundamental value, the market maker's risk aversion, and the differential profits of fundamentalists and chartists.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:dyncon:v:33:y:2009:i:5:p:1134-1158
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. Chiarella, Carl & Dieci, Roberto & Gardini, Laura, 2006. "Asset price and wealth dynamics in a financial market with heterogeneous agents," Journal of Economic Dynamics and Control, Elsevier, vol. 30(9-10), pages 1755-1786.
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    5. Frank Westerhoff, 2003. "Market-maker, inventory control and foreign exchange dynamics," Quantitative Finance, Taylor & Francis Journals, vol. 3(5), pages 363-369.
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    7. Rui Carvalho, 2001. "The Dynamics of the Linear Random Farmer Model," Papers cond-mat/0107150, arXiv.org.
    8. Bernd Pape, 2007. "Asset allocation and multivariate position based trading," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 2(2), pages 163-193, December.
    9. Richard Day, 1997. "Complex Dynamics, Market Mediation and Stock Price Behavior," North American Actuarial Journal, Taylor & Francis Journals, vol. 1(3), pages 1-16.
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    Citations

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    Cited by:

    1. Fabio Tramontana & Laura Gardini & Frank Westerhoff, 2011. "Heterogeneous Speculators and Asset Price Dynamics: Further Results from a One-Dimensional Discontinuous Piecewise-Linear Map," Computational Economics, Springer;Society for Computational Economics, vol. 38(3), pages 329-347, October.
    2. Dieci, Roberto & Schmitt, Noemi & Westerhoff, Frank, 2018. "Interactions between stock, bond and housing markets," Journal of Economic Dynamics and Control, Elsevier, vol. 91(C), pages 43-70.
    3. Schmitt, Noemi & Westerhoff, Frank, 2021. "Trend followers, contrarians and fundamentalists: Explaining the dynamics of financial markets," Journal of Economic Behavior & Organization, Elsevier, vol. 192(C), pages 117-136.
    4. Robert Calvert Jump & Engelbert Stockhammer, 2023. "Building blocks of a heterodox business cycle theory," Journal of Post Keynesian Economics, Taylor & Francis Journals, vol. 46(2), pages 334-358, April.
    5. 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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