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MA
2011
Springer

A copula-based model of speculative price dynamics in discrete time

8 years 1 months ago
A copula-based model of speculative price dynamics in discrete time
This paper suggests a new technique to construct first order Markov processes using products of copula functions, in the spirit of Darsow et al. (1992). The approach requires the definition of: i) a sequence of distribution functions of the increments of the process; ii) a sequence of copula functions representing dependence between each increment of the process and the corresponding level of the process before the increment. The paper shows how to use the approach to build several kinds of processes (stable, elliptical, Farlie-Gumbel-Morgernstern, Archimedean), martingale processes, and how to extend the analysis to the multivariate setting. The technique turns out to be well suited to provide a discrete time representation of the dynamics of innovations to financial prices under the restrictions imposed by the Efficient Market Hypothesis.
Umberto Cherubini, Sabrina Mulinacci, Silvia Romag
Added 14 May 2011
Updated 14 May 2011
Type Journal
Year 2011
Where MA
Authors Umberto Cherubini, Sabrina Mulinacci, Silvia Romagnoli
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