Non-linear pricing theory and backward stochastic differential equations

作者: Bruno Biais , Thomas Björk , Jakša Cvitanić , Nicole El Karoui , Elyés Jouini

DOI: 10.1007/BFB0092001

关键词: Incomplete marketsStochastic differential equationArbitrage pricing theoryMathematical economicsApplied mathematicsNonlinear systemMathematicsMathematical financeKolmogorov equations (Markov jump process)Backward differentiation formulaStochastic partial differential equation

摘要: … In general, an attainable contingent claim may be replicated by an infinite number of self-financing strategies 5. Using the theory of backward stochastic differential equations, we will …

参考文章(57)
Jakša Cvitanić, Optimal trading under constraints Lecture Notes in Mathematics. pp. 123- 190 ,(1997) , 10.1007/BFB0092000
Shige Peng, Probabilistic interpretation for systems of quasilinear parabolic partial differential equations Stochastics and Stochastics Reports. ,vol. 37, pp. 61- 74 ,(1991)
C. Dellacherie, Sur l’existence de certains ess.inf et ess.sup de familles de processus mesurables Séminaire de probabilités de Strasbourg. ,vol. 12, pp. 512- 514 ,(1978) , 10.1007/BFB0064625
N. El Karoui, Les Aspects Probabilistes Du Controle Stochastique Springer Berlin Heidelberg. pp. 73- 238 ,(1981) , 10.1007/BFB0097499
Marie-Claire Quenez, Methodes de controle stochastique en finance Paris 6. ,(1993)
Thomas Turnbull, Ivar Ekeland, Infinite-dimensional optimization and convexity ,(1983)
Nicole El Karoui, Laurent Mazliak, Backward Stochastic Differential Equations ,(1997)