Applications of weak convergence for hedging of game options

Yan Dolinsky

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5 Citations (Scopus)

Abstract

In this paper we consider Dynkin's games with payoffs which are functions of an underlying process. Assuming extended weak convergence of underlying processes {S(n)}n=0 to a limit process S we prove convergence Dynkin's games values corresponding to {S (n)}n=0 to the Dynkin's game value corresponding to S. We use these results to approximate game options prices with path dependent payoffs in continuous time models by a sequence of game options prices in discrete time models which can be calculated by dynamical programming algorithms. In comparison to previous papers we work under more general convergence of underlying processes, as well as weaker conditions on the payoffs.

Original languageEnglish
Pages (from-to)1891-1906
Number of pages16
JournalAnnals of Applied Probability
Volume20
Issue number5
DOIs
Publication statusPublished - Oct 2010
Externally publishedYes

Keywords

  • Dynkin games
  • Game options
  • Weak convergence

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