AN INTEGRO-DIFFERENTIAL PARABOLIC VARIATIONAL INEQUALITY ARISING FROM THE VALUATION OF DOUBLE BARRIER AMERICAN OPTION

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摘要 Thispaperstudiesthenonlinearvariationalinequalitywithintegro-differentialtermarisingfromvaluationofAmericanstyledoublebarrieroption.First,theauthorsusethepenaltymethodtotransformthevariationalinequalityintoanonlinearparabolicinitialboundaryproblem(i.e.,penaltyproblem).Second,theexistenceanduniquenessofsolutiontothepenaltyproblemareprovedbyusingtheScheaferfixedpointtheory.Third,theauthorsprovetheexistenceofvariationalinequality'solutionbyshowingthefactthatthepenalizedPDEconvergestothevariationalinequality.Theuniquenessofsolutiontothevariationalinequalityisalsoprovedbycontradiction.
机构地区 不详
出版日期 2014年02月12日(中国期刊网平台首次上网日期,不代表论文的发表时间)