• Title/Summary/Keyword: model preserving minimal entropy martingale measure

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THE RELATIVE ENTROPY UNDER THE R-CGMY PROCESSES

  • Kwon, YongHoon;Lee, Younhee
    • Journal of the Chungcheong Mathematical Society
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    • v.28 no.1
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    • pp.109-117
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    • 2015
  • We consider the relative entropy for two R-CGMY processes, which are CGMY processes with Y equal to 1, to choose an equivalent martingale measure (EMM) when the underlying asset of a derivative follows a R-CGMY process in the financial market. Since the R-CGMY process leads to an incomplete market, we have to use a proper technique to choose an EMM among a variety of EMMs. In this paper, we derive the closed form expression of the relative entropy for R-CGMY processes.