Binary Market Models with Memory

نویسندگان

  • AKIHIKO INOUE
  • YUMIHARU NAKANO
چکیده

Abstract. We construct a binary market model with memory that approximates a continuous-time market model driven by a Gaussian process equivalent to Brownian motion. We give a sufficient conditions for the binary market to be arbitrage-free. In a case when arbitrage opportunities exist, we present the rate at which the arbitrage probability tends to zero as the number of periods goes to infinity.

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تاریخ انتشار 2004