The Minimal Model of Financial Complexity
AbstractA representative investor generates realistic and complex security price paths by following this trading strategy: if, a few ticks ago, the market asset had two consecutive upticks or two consecutive downticks, then sell, and otherwise buy. This simple, unique, and robust model is the smallest possible deterministic model of financial complexity, and its generalization leads to complex variety. Compared to a random walk, the minimal model generates time series with fatter tails and more frequent crashes, thus more closely matching the real world. It does all this without any parameter fitting.
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Bibliographic InfoPaper provided by arXiv.org in its series Papers with number 0901.3812.
Date of creation: Jan 2009
Date of revision: Feb 2010
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Web page: http://arxiv.org/
This paper has been announced in the following NEP Reports:
- NEP-ALL-2009-09-26 (All new papers)
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