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Price of coupon bond options in a quantum field theory of forward interest rates

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  • Baaquie, Belal E.

Abstract

European options on coupon bonds are studied in a quantum field theory model of forward interest rates. A approximation scheme for finding the option price is developed based on the fact that the volatility of the forward interest rate is a small quantity. The field theory for the forward interest rates is in effect Gaussian, and when the payoff function for the coupon bonds option is included it makes the field theory exponentially nonlinear. A Feynman perturbation expansion gives a result for the price of Libor swaption that agrees quite well with the market price.

Suggested Citation

  • Baaquie, Belal E., 2006. "Price of coupon bond options in a quantum field theory of forward interest rates," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 370(1), pages 98-103.
    • Handle: RePEc:eee:phsmap:v:370:y:2006:i:1:p:98-103
    DOI: 10.1016/j.physa.2006.04.021
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    References listed on IDEAS

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    1. Qiang Dai & Kenneth Singleton, 2003. "Term Structure Dynamics in Theory and Reality," The Review of Financial Studies, Society for Financial Studies, vol. 16(3), pages 631-678, July.
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    Cited by:

    1. Nicolò Cangiotti, 2024. "Feynman Diagrams beyond Physics: From Biology to Economy," Mathematics, MDPI, vol. 12(9), pages 1-17, April.
    2. Will Hicks, 2018. "Nonlocal Diffusions and The Quantum Black-Scholes Equation: Modelling the Market Fear Factor," Papers 1806.07983, arXiv.org, revised Jun 2018.

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