An Iterative Method for Multiple Stopping: Convergence and Stability

نویسندگان

  • Christian Bender
  • John Schoenmakers
چکیده

We present a new iterative procedure for solving the multiple stopping problem in discrete time and discuss the stability of the algorithm. The algorithm produces monotonically increasing approximations of the Snell envelope, which coincide with the Snell envelope after finitely many steps. Contrary to backward dynamic programming, the algorithm allows to calculate approximative solutions with only a few nestings of conditional expectations and is, therefore, tailor-made for a plain Monte-Carlo implementation.

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تاریخ انتشار 2006