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Random Dynamics and Finance: Constructing Implied Binomial Trees from a Predetermined Stationary Den

Wael Bahsoun (), Pawel Góra (), Silvia Mayoral and Manuel Morales ()
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Wael Bahsoun: University of Victoria
Pawel Góra: Concordia University
Manuel Morales: University of Montreal

No 13/06, Faculty Working Papers from School of Economics and Business Administration, University of Navarra

Abstract: We introduce a general binomial model for asset prices based on the concept of random maps. The asymptotic stationary distribution for such model is studied using techniques from dynamical systems. In particular, we present a technique to construct a general binomial model with a predetermined stationary distribution. This technique is independent of the chosen distribution making our model potentially useful in financial applications. We brie y explore the suitability of our construction as an implied binomial tree.

Date: 2006-09-04
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Published, Applied Stochastics models in Business and Industry, 2007, vol. 23(3): pp. 181-212.

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