A Quantum Field Theory Term Structure Model Applied to Hedging

Details A Quantum Field Theory Term Structure Model Applied to Hedging A Quantum Field Theory Term Structure Model Applied to Hedging

2002-06-24

arxiv.org/abs/cond-mat/0206457v1

Physics

Condensed Matter

Soft Condensed Matter

7 figures

Scientific paper

A quantum field theory generalization, Baaquie, of the Heath, Jarrow, and Morton (HJM) term structure model parsimoniously describes the evolution of imperfectly correlated forward rates. Field theory also offers powerful computational tools to compute path integrals which naturally arise from all forward rate models. Specifically, incorporating field theory into the term structure facilitates hedge parameters that reduce to their finite factor HJM counterparts under special correlation structures. Although investors are unable to perfectly hedge against an infinite number of term structure perturbations in a field theory model, empirical evidence using market data reveals the effectiveness of a low dimensional hedge portfolio.

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