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Integral price formulas for lookback options

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  • Chenglong Xu
  • Yue Kuen Kwok

Abstract

We derive an integral representation of the price formulas for European options whose terminal payoff involves path-dependent lookback variable. The intricacies in the derivation procedures using the partial differential equation techniques stem from the degenerate nature of the pricing models, where the lookback state variables appear only in the auxiliary conditions but not in the governing differential equations. We also derive a parity relation between the price functions of the floating strike and fixed strike lookback options.

Suggested Citation

  • Chenglong Xu & Yue Kuen Kwok, 2005. "Integral price formulas for lookback options," Journal of Applied Mathematics, Hindawi, vol. 2005, pages 1-9, January.
    • Handle: RePEc:hin:jnljam:945285
    DOI: 10.1155/JAM.2005.117
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