A prototype model of speculative dynamics with position-based trading
Franke, Reiner (2007) A prototype model of speculative dynamics with position-based trading. Working Paper. Coventry: Warwick Business School, Financial Econometrics Research Centre. Working papers (Warwick Business School. Financial Econometrics Research Centre) (No.07-).
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Official URL: http://www2.warwick.ac.uk/fac/soc/wbs/research/wfr...
To avoid the indeterminate and generally unbounded positions of the agents in financial market models with order-based trading, the paper considers the alternative of position-based strategies. To this end it extracts a prototype model from the literature, with fundamentalists, chartists, and a risk-averse market maker. The deterministic formulation of the model leads to a neutral delay differential equation of the price, whose mathematical analysis is non-standard. 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, and on the differential profits of fundamentalists and chartists.
|Item Type:||Working or Discussion Paper (Working Paper)|
|Subjects:||H Social Sciences > HB Economic Theory
Q Science > QA Mathematics
|Divisions:||Faculty of Social Sciences > Warwick Business School > Financial Econometrics Research Centre
Faculty of Social Sciences > Warwick Business School
|Library of Congress Subject Headings (LCSH):||Assets (Accounting), Fundamental groups (Mathematics), Price -- Mathematical models, Equilibrium (Economics), Delay differential equations|
|Series Name:||Working papers (Warwick Business School. Financial Econometrics Research Centre)|
|Publisher:||Warwick Business School, Financial Econometrics Research Centre|
|Place of Publication:||Coventry|
|Official Date:||December 2007|
|Number of Pages:||56|
|Status:||Not Peer Reviewed|
|Access rights to Published version:||Open Access|
|Funder:||Sixth Framework Programme (European Commission) (FP6)|
|Grant number:||516446 (SFP)|
Arnold, L. (1998), Random Dynamical Systems. New York: Springer.
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