Itô-Skorohod stochastic equations and applications to finance.
Tudor, Ciprian A. (2004)
Journal of Applied Mathematics and Stochastic Analysis
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Tudor, Ciprian A. (2004)
Journal of Applied Mathematics and Stochastic Analysis
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Svetlana Janković (1998)
Zbornik Radova
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Chang, Mou-Hsiung (2007)
Journal of Applied Mathematics and Stochastic Analysis
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Wong, Bernard, Heyde, C.C. (2006)
Journal of Applied Mathematics and Stochastic Analysis
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Alòs, Elisa, León, Jorge A., Pontier, Monique, Vives, Josep (2008)
Journal of Applied Mathematics and Stochastic Analysis
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Łukasz Delong (2012)
Applicationes Mathematicae
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We investigate novel applications of a new class of equations which we call time-delayed backward stochastic differential equations. Time-delayed BSDEs may arise in insurance and finance in an attempt to find an investment strategy and an investment portfolio which should replicate a liability or meet a target depending on the strategy applied or the past values of the portfolio. In this setting, a managed investment portfolio serves simultaneously as the underlying security on which...
Rodkina, Alexandra, Lynch, O'Neil (2002)
Applied Mathematics E-Notes [electronic only]
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Swishchuk, Anatoliy, Xu, Li (2011)
International Journal of Stochastic Analysis
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El-Nadi, Khairia El-Said (2005)
Journal of Applied Mathematics and Stochastic Analysis
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Chang, Mou-Hsiung (2007)
Journal of Applied Mathematics and Stochastic Analysis
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An, Ta Thi Kieu, Øksendal, Bernt, Proske, Frank (2008)
Journal of Applied Mathematics and Stochastic Analysis
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Ewald, Christian-Oliver (2005)
Journal of Applied Mathematics and Stochastic Analysis
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Meng Wu, Jue Lu, Nan-jing Huang (2016)
Applications of Mathematics
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We consider a European option pricing problem under a partial information market, i.e., only the security's price can be observed, the rate of return and the noise source in the market cannot be observed. To make the problem tractable, we focus on gap option which is a generalized form of the classical European option. By using the stochastic analysis and filtering technique, we derive a Black-Scholes formula for gap option pricing with dividends under partial information. Finally, we...