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An agent-based model of financial returns in a limit order market

In: Practical Fruits of Econophysics

Author

Listed:
  • Koichi Hamada

    (Yale University)

  • Kouji Sasaki

    (Bank of Japan)

  • Toshiaki Watanabe

    (Tokyo Metropolitan University)

Abstract

Summary A set of finance literature shows that asset return processes are characterized by a GARCH class conditional volatility and fat-tail distributed disturbances, such as mixture of normal distributions and t-distribution (Watanabe 2000; Watanabe and Asai 2004). This paper finds that this type of complicated process arises by aggregating returns of a risky asset traded in a limit order market. The conditional volatility of generated return series can be modeled as a GARCH class since the volatility gradually diminishes as the price assimilates the new information about the future asset return. The reason why the error term of estimated model is fat-tail distributed is that the return of transaction prices is distributed as a mixture of normals; one of the two distributions represents the drift of the price process, and the other represents the liquidity effect.

Suggested Citation

  • Koichi Hamada & Kouji Sasaki & Toshiaki Watanabe, 2006. "An agent-based model of financial returns in a limit order market," Springer Books, in: Hideki Takayasu (ed.), Practical Fruits of Econophysics, pages 158-162, Springer.
  • Handle: RePEc:spr:sprchp:978-4-431-28915-9_28
    DOI: 10.1007/4-431-28915-1_28
    as

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