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Hybrid dynamics for currency modeling

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  • Ted Theodosopoulos
  • Alex Trifunovic
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    Abstract

    We present a simple hybrid dynamical model as a tool to investigate behavioral strategies based on trend following. The multiplicative symbolic dynamics are generated using a lognormal diffusion model for the at-the-money implied volatility term structure. Thus, are model exploits information from derivative markets to obtain qualititative properties of the return distribution for the underlier. We apply our model to the JPY-USD exchange rate and the corresponding 1mo., 3mo., 6mo. and 1yr. implied volatilities. Our results indicate that the modulation of autoregressive trend following using derivative-based signals significantly improves the fit to the distribution of times between successive sign flips in the underlier time series.

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    File URL: http://arxiv.org/pdf/math/0605457
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    Bibliographic Info

    Paper provided by arXiv.org in its series Papers with number math/0605457.

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    Date of creation: May 2006
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    Handle: RePEc:arx:papers:math/0605457

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    Web page: http://arxiv.org/

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    1. Ohira, Toru & Sazuka, Naoya & Marumo, Kouhei & Shimizu, Tokiko & Takayasu, Misako & Takayasu, Hideki, 2002. "Predictability of currency market exchange," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 308(1), pages 368-374.
    2. Marc Potters & Jean-Philippe Bouchaud, 2005. "Trend followers lose more often than they gain," Science & Finance (CFM) working paper archive 500065, Science & Finance, Capital Fund Management.
    3. Ohnishi, Takaaki & Mizuno, Takayuki & Aihara, Kazuyuki & Takayasu, Misako & Takayasu, Hideki, 2004. "Statistical properties of the moving average price in dollar–yen exchange rates," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 344(1), pages 207-210.
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