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Volumn 118, Issue 1, 2008, Pages 53-75

Discrete-time approximation of decoupled Forward-Backward SDE with jumps

Author keywords

Discrete time approximation; Forward Backward SDEs with jumps; Malliavin calculus

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; FUNCTION EVALUATION;

EID: 36248975608     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spa.2007.03.010     Document Type: Article
Times cited : (108)

References (24)
  • 1
    • 0002508109 scopus 로고    scopus 로고
    • Backward stochastic differential equations and integral-partial differential equations
    • Barles G., Buckdahn R., and Pardoux E. Backward stochastic differential equations and integral-partial differential equations. Stochastics Stochastics Reports 60 (1997) 57-83
    • (1997) Stochastics Stochastics Reports , vol.60 , pp. 57-83
    • Barles, G.1    Buckdahn, R.2    Pardoux, E.3
  • 2
    • 2342581211 scopus 로고    scopus 로고
    • A quantization algorithm for solving discrete time multidimensional optimal stopping problems
    • Bally V., and Pages G. A quantization algorithm for solving discrete time multidimensional optimal stopping problems. Bernoulli 9 6 (2002) 1003-1049
    • (2002) Bernoulli , vol.9 , Issue.6 , pp. 1003-1049
    • Bally, V.1    Pages, G.2
  • 3
    • 36248954651 scopus 로고    scopus 로고
    • D. Becherer, Bounded solutions to Backward SDE's with jumps for utility optimization and indifference hedging, Imperial College London, 2005. Preprint
  • 4
    • 0000412091 scopus 로고
    • Calcul de Malliavin pour des diffusions avec saut: Existence d'une densité dans le cas unidimensionel
    • Bichteler K., and Jacod J. Calcul de Malliavin pour des diffusions avec saut: Existence d'une densité dans le cas unidimensionel. Séminaire de Probabilité 17 (1983) 132-157
    • (1983) Séminaire de Probabilité , vol.17 , pp. 132-157
    • Bichteler, K.1    Jacod, J.2
  • 6
    • 36248942175 scopus 로고    scopus 로고
    • B. Bouchard, J.-F. Chassagneux, Discrete time approximation for continuously and discretely reflected BSDE's, LPMA, University Paris 6, 2006. Preprint
  • 7
    • 2342427092 scopus 로고    scopus 로고
    • Discrete-time approximation and Monte-Carlo simulation of backward stochastic differential equations
    • Bouchard B., and Touzi N. Discrete-time approximation and Monte-Carlo simulation of backward stochastic differential equations. Stochastic Processes and their Applications 111 2 (2004) 175-206
    • (2004) Stochastic Processes and their Applications , vol.111 , Issue.2 , pp. 175-206
    • Bouchard, B.1    Touzi, N.2
  • 9
    • 36248959921 scopus 로고    scopus 로고
    • R. Buckdahn, E. Pardoux, BSDE's with jumps and associated integro-partial differential equations, 1994. Preprint
  • 10
    • 0030520557 scopus 로고    scopus 로고
    • Numerical methods for forward-backward stochastic differential equations
    • Douglas Jr. J., Ma J., and Protter P. Numerical methods for forward-backward stochastic differential equations. Annals of Applied Probability 6 (1996) 940-968
    • (1996) Annals of Applied Probability , vol.6 , pp. 940-968
    • Douglas Jr., J.1    Ma, J.2    Protter, P.3
  • 11
    • 36248977252 scopus 로고    scopus 로고
    • R. Elie, Contrôle stochastique et méthodes numériques en finance mathématique, Ph.D. Thesis, University Paris-Dauphine, 2006
  • 12
    • 0031542653 scopus 로고    scopus 로고
    • Backward stochastic differential equations in finance
    • El Karoui N., Peng S., and Quenez M.-C. Backward stochastic differential equations in finance. Mathematical finance 7 1 (1997) 1-71
    • (1997) Mathematical finance , vol.7 , Issue.1 , pp. 1-71
    • El Karoui, N.1    Peng, S.2    Quenez, M.-C.3
  • 13
    • 25644432046 scopus 로고    scopus 로고
    • Backward stochastic differential equations with enlarged filtration. Option hedging of an insider trader in a financial market with jumps
    • Eyraud-Loisel A. Backward stochastic differential equations with enlarged filtration. Option hedging of an insider trader in a financial market with jumps. Stochastic processes and their Applications 115 11 (2005) 1745-1763
    • (2005) Stochastic processes and their Applications , vol.115 , Issue.11 , pp. 1745-1763
    • Eyraud-Loisel, A.1
  • 14
    • 36248978317 scopus 로고    scopus 로고
    • B. Forster, E. Lütkebohmert, J. Teichmann, Calculation of the greeks for jump-diffusions, 2005. Preprint
  • 16
    • 36248929571 scopus 로고    scopus 로고
    • E. Gobet, J.P. Lemor, X. Warin, Rate of convergence of empirical regression method for solving generalized BSDE, Bernoulli (2005) (in press)
  • 17
  • 19
    • 0000268709 scopus 로고
    • Backward stochastic differential equations and quasilinear parabolic partial differential equations
    • Pardoux E., and Peng S. Backward stochastic differential equations and quasilinear parabolic partial differential equations. Lecture Notes in Control and Information Sciences 176 (1992) 200-217
    • (1992) Lecture Notes in Control and Information Sciences , vol.176 , pp. 200-217
    • Pardoux, E.1    Peng, S.2
  • 20
    • 0031498167 scopus 로고    scopus 로고
    • Probabilistic interpretation for a system of semilinear parabolic partial differential equations
    • Pardoux E., Pradeilles F., and Rao Z. Probabilistic interpretation for a system of semilinear parabolic partial differential equations. Annales de Institut Henri Poincaré 33 4 (1997) 467-490
    • (1997) Annales de Institut Henri Poincaré , vol.33 , Issue.4 , pp. 467-490
    • Pardoux, E.1    Pradeilles, F.2    Rao, Z.3
  • 22
    • 0028500888 scopus 로고
    • Necessary conditions for optimal control of stochastic systems with random jumps
    • Tang S., and Li X. Necessary conditions for optimal control of stochastic systems with random jumps. SIAM Journal on Control Optimization 32 5 (1994) 1447-1475
    • (1994) SIAM Journal on Control Optimization , vol.32 , Issue.5 , pp. 1447-1475
    • Tang, S.1    Li, X.2
  • 23
    • 0036003097 scopus 로고    scopus 로고
    • Path regularity of solutions to backward stochastic differential equations
    • Ma J., and Zhang J. Path regularity of solutions to backward stochastic differential equations. Probability Theory and Related Fields 122 (2002) 163-190
    • (2002) Probability Theory and Related Fields , vol.122 , pp. 163-190
    • Ma, J.1    Zhang, J.2
  • 24
    • 26844465182 scopus 로고    scopus 로고
    • A numerical scheme for BSDEs
    • Zhang J. A numerical scheme for BSDEs. Annals of Applied Probability 14 1 (2004) 459-488
    • (2004) Annals of Applied Probability , vol.14 , Issue.1 , pp. 459-488
    • Zhang, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.