"Stiff" Field Theory of Interest Rates and Psychological Future Time

Belal Baaquie and Jean-Philippe Bouchaud
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Belal Baaquie: Singapore
Jean-Philippe Bouchaud: Science & Finance/CFM

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Abstract: The simplest field theory description of the multivariate statistics of forward rate variations over time and maturities, involves a quadratic action containing a gradient squared rigidity term. However, this choice leads to a spurious kink (infinite curvature) of the normalized correlation function for coinciding maturities. Motivated by empirical results, we consider an extended action that contains a squared Laplacian term, which describes the bending stiffness of the FRC. With the extra ingredient of a `psychological' future time, describing how the perceived time between events depends on the time in the future, our theory accounts extremely well for the phenomenology of interest rate dynamics.

Date: 2004-03
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Persistent link: https://EconPapers.repec.org/RePEc:arx:papers:cond-mat/0403713

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