• 1 Introduction
  • 2 Study of the downcrossings of a brownian motion with drift<br<3 Construction of the price process
  • 4 Study in the case where the number of downcrossings is xed
  • 5 Study in the case where the number of downcrossings is random
  • 6 Simulation and comparison with the classic results
  • 7 Conclusion
  • Acknowledgement
  • References
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