A Quantum Field Theory Term Structure Model Applied to Hedging
Publication Type
Journal Article
Publication Date
3-2010
Abstract
A quantum field theory generalization, Baaquie [1], of the Heath, Jarrow and Morton (HJM) [10] 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.
Keywords
Bond portfolio, hedging, field theory model, variance minimization
Discipline
Finance and Financial Management | Portfolio and Security Analysis
Research Areas
Finance
Publication
International Journal of Theoretical and Applied Finance
Volume
6
Issue
5
First Page
443
Last Page
467
ISSN
0219-0249
Identifier
10.1142/S0219024903001980
Citation
WARACHKA, Mitchell Craig; Belal, Baaquie; and Srikant, M..
A Quantum Field Theory Term Structure Model Applied to Hedging. (2010). International Journal of Theoretical and Applied Finance. 6, (5), 443-467.
Available at: https://ink.library.smu.edu.sg/lkcsb_research/2695