
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.
10 pages, 3 figures
Condensed Matter - Other Condensed Matter, FOS: Economics and business, Statistical Mechanics (cond-mat.stat-mech), FOS: Physical sciences, Quantitative Finance - General Finance, General Finance (q-fin.GN), Condensed Matter - Statistical Mechanics, Other Condensed Matter (cond-mat.other)
Condensed Matter - Other Condensed Matter, FOS: Economics and business, Statistical Mechanics (cond-mat.stat-mech), FOS: Physical sciences, Quantitative Finance - General Finance, General Finance (q-fin.GN), Condensed Matter - Statistical Mechanics, Other Condensed Matter (cond-mat.other)
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