We derive a forward partial integro-differential equation for prices of call options in a model where the dynamics of the underlying asset under the pricing measure is described by a—possibly discontinuous—semimartingale. This result generalizes Dupire’s forward equation to a large class of non-Markovian models with jumps.
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Univ Maryland, Robert H Smith Sch Business, College Pk, MD 20742 USAUniv Maryland, Robert H Smith Sch Business, College Pk, MD 20742 USA
Madan, D.
Roynette, B.
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Univ Henri Poincare, Inst Elie Cartan, F-54506 Vandoeuvre Les Nancy, FranceUniv Maryland, Robert H Smith Sch Business, College Pk, MD 20742 USA
Roynette, B.
Yor, Marc
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Univ Paris 06, Lab Probabilites & Modeles Aleatoires, F-75252 Paris 05, France
Univ Paris 07, Lab Probabilites & Modeles Aleatoires, F-75252 Paris 05, FranceUniv Maryland, Robert H Smith Sch Business, College Pk, MD 20742 USA
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School Of Mathematics And Statistics, Xidian University, Xi'An,710126, ChinaSchool Of Mathematics And Statistics, Xidian University, Xi'An,710126, China
Bo, Lijun
Capponi, Agostino
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Department Of Industrial Engineering And Operations Research, Columbia University, New York,NY,10027, United StatesSchool Of Mathematics And Statistics, Xidian University, Xi'An,710126, China
Capponi, Agostino
Zhou, Chao
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Department Of Mathematics, Risk Management Institute, National University Of Singapore, Singapore, SingaporeSchool Of Mathematics And Statistics, Xidian University, Xi'An,710126, China