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Brownian excursions outside a corridor and two-sided Parisian options

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  • Dassios, Angelos
  • Wu, Shanle

Abstract

In this paper, we study the excursion time of a Brownian motion with drift outside a corridor by using a four states semi-Markov model. In mathematical finance, these results have an important application in the valuation of double barrier Parisian options. In this paper, we obtain an explicit expression for the Laplace transform of its price.

Suggested Citation

  • Dassios, Angelos & Wu, Shanle, 2011. "Brownian excursions outside a corridor and two-sided Parisian options," LSE Research Online Documents on Economics 32045, London School of Economics and Political Science, LSE Library.
  • Handle: RePEc:ehl:lserod:32045
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    File URL: http://eprints.lse.ac.uk/32045/
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    More about this item

    Keywords

    Excursion time; four states Semi-Markov model; double barrier Parisian options; Laplace transform;
    All these keywords.

    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General

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