Continuously Monitored Barrier Options under Markov Processes

نویسندگان

  • ALEKSANDAR MIJATOVIĆ
  • Bjorn Eriksson
  • Mike Giles
  • Vassili Kolokoltsov
  • Steven Kou
  • Sergei Levendorskii
  • Dilip Madan
چکیده

In this paper we present an algorithm for pricing barrier options in one-dimensional Markov models. The approach rests on the construction of an approximating continuous-time Markov chain that closely follows the dynamics of the given Markov model. We illustrate the method by implementing it for a range of models, including a local Lévy process and a local volatility jump-diffusion. We also provide a convergence proof and error estimates for this algorithm.

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تاریخ انتشار 2010