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Volumn 23, Issue 1, 2013, Pages 308-347

Dual formulation of second order target problems

Author keywords

Backward SDEs; Duality; Mutually singular probability measures; Stochastic target problem

Indexed keywords


EID: 84876274880     PISSN: 10505164     EISSN: None     Source Type: Journal    
DOI: 10.1214/12-AAP844     Document Type: Article
Times cited : (93)

References (24)
  • 1
    • 1042279214 scopus 로고    scopus 로고
    • Hedging and portfolio optimization in financial markets with a large trader
    • MR2030833
    • BANK, P. and BAUM, D. (2004). Hedging and portfolio optimization in financial markets with a large trader. Math. Finance 14 1-18. MR2030833
    • (2004) Math. Finance , vol.14 , pp. 1-18
    • Bank, P.1    Baum, D.2
  • 2
    • 16244406964 scopus 로고
    • Stochastic optimal control: The discrete time case
    • Academic Press, New York. MR0511544
    • BERTSEKAS, D. P. and SHREVE, S. E. (1978). Stochastic Optimal Control: The Discrete Time Case. Mathematics in Science and Engineering 139. Academic Press, New York. MR0511544
    • (1978) Mathematics in Science and Engineering , vol.139
    • Bertsekas, D.P.1    Shreve, S.E.2
  • 3
    • 77954535783 scopus 로고    scopus 로고
    • Option hedging for small investors under liquidity costs
    • MR2670416
    • ÇETIN, U., SONER, H. M. and TOUZI, N. (2010). Option hedging for small investors under liquidity costs. Finance Stoch. 14 317-341. MR2670416
    • (2010) Finance Stoch. , vol.14 , pp. 317-341
    • Çetin, U.1    Soner, H.M.2    Touzi, N.3
  • 4
    • 0013198407 scopus 로고    scopus 로고
    • A general downcrossing inequality for g-martingales
    • MR1748870
    • CHEN, Z. and PENG, S. (2000). A general downcrossing inequality for g-martingales. Statist. Probab. Lett. 46 169-175. MR1748870
    • (2000) Statist. Probab. Lett. , vol.46 , pp. 169-175
    • Chen, Z.1    Peng, S.2
  • 5
    • 24944463132 scopus 로고    scopus 로고
    • The multi-dimensional superreplication problem under gamma constraints
    • MR2171995
    • CHERIDITO, P., SONER, H. M. and TOUZI, N. (2005). The multi-dimensional superreplication problem under gamma constraints. Ann. Inst. H. Poincaré Anal. Non Linéaire 22 633-666. MR2171995
    • (2005) Ann. Inst. H. Poincaré Anal. Non Linéaire , vol.22 , pp. 633-666
    • Cheridito, P.1    Soner, H.M.2    Touzi, N.3
  • 6
    • 34249723795 scopus 로고    scopus 로고
    • Second-order backward stochastic differential equations and fully nonlinear parabolic PDEs
    • MR2319056
    • CHERIDITO, P., SONER, H.M., TOUZI, N. and VICTOIR, N. (2007). Second-order backward stochastic differential equations and fully nonlinear parabolic PDEs. Comm. Pure Appl. Math. 60 1081-1110. MR2319056
    • (2007) Comm. Pure Appl. Math. , vol.60 , pp. 1081-1110
    • Cheridito, P.1    Soner, H.M.2    Touzi, N.3    Victoir, N.4
  • 7
    • 78651408734 scopus 로고    scopus 로고
    • Function spaces and capacity related to a sublinear expectation: Application to G-Brownian motion paths
    • MR2754968
    • DENIS, L., HU, M. and PENG, S. (2011). Function spaces and capacity related to a sublinear expectation: Application to G-Brownian motion paths. Potential Anal. 34 139-161. MR2754968
    • (2011) Potential Anal. , vol.34 , pp. 139-161
    • Denis, L.1    Hu, M.2    Peng, S.3
  • 8
    • 33746876027 scopus 로고    scopus 로고
    • A theoretical framework for the pricing of contingent claims in the presence of model uncertainty
    • MR2244434
    • DENIS, L. and MARTINI, C. (2006). A theoretical framework for the pricing of contingent claims in the presence of model uncertainty. Ann. Appl. Probab. 16 827-852. MR2244434
    • (2006) Ann. Appl. Probab. , vol.16 , pp. 827-852
    • Denis, L.1    Martini, C.2
  • 9
    • 0031542653 scopus 로고    scopus 로고
    • Backward stochastic differential equations in finance
    • MR1434407
    • EL KAROUI, N., PENG, S. andQUENEZ, M. C. (1997). Backward stochastic differential equations in finance. Math. Finance 7 1-71. MR1434407
    • (1997) Math. Finance , vol.7 , pp. 1-71
    • Karoui, N.E.L.1    Peng, S.2    Quenez, M.C.3
  • 10
    • 0002335001 scopus 로고
    • Dynamic programming and pricing of contingent claims in an incomplete market
    • MR1311659
    • EL KAROUI, N. andQUENEZ, M.-C. (1995). Dynamic programming and pricing of contingent claims in an incomplete market. SIAM J. Control Optim. 33 29-66. MR1311659
    • (1995) SIAM J. Control Optim. , vol.33 , pp. 29-66
    • Karoui, N.E.L.1    Quenez, M.-C.2
  • 12
    • 0002225537 scopus 로고
    • On pathwise stochastic integration
    • MR1327950
    • KARANDIKAR, R. L. (1995). On pathwise stochastic integration. Stochastic Process. Appl. 57 11-18. MR1327950
    • (1995) Stochastic Process. Appl. , vol.57 , pp. 11-18
    • Karandikar, R.L.1
  • 13
    • 26644466767 scopus 로고    scopus 로고
    • Penalization method for reflected backward stochastic differential equations with one r.c.l.l. barrier
    • MR2185610
    • LEPELTIER, J. P. and XU, M. (2005). Penalization method for reflected backward stochastic differential equations with one r.c.l.l. barrier. Statist. Probab. Lett. 75 58-66. MR2185610
    • (2005) Statist. Probab. Lett. , vol.75 , pp. 58-66
    • Lepeltier, J.P.1    Xu, M.2
  • 14
    • 0025262967 scopus 로고
    • Adapted solution of a backward stochastic differential equation
    • MR1037747
    • PARDOUX, É. and PENG, S. G. (1990). Adapted solution of a backward stochastic differential equation. Systems Control. Lett. 14 55-61. MR1037747
    • (1990) Systems Control. Lett. , vol.14 , pp. 55-61
    • Pardoux, É.1    Peng, S.G.2
  • 15
    • 0039529012 scopus 로고    scopus 로고
    • Monotonic limit theorem of BSDE and nonlinear decomposition theorem of Doob-Meyer's type
    • MR1717527
    • PENG, S. (1999). Monotonic limit theorem of BSDE and nonlinear decomposition theorem of Doob-Meyer's type. Probab. Theory Related Fields 113 473-499. MR1717527
    • (1999) Probab. Theory Related Fields , vol.113 , pp. 473-499
    • Peng, S.1
  • 16
    • 7244231371 scopus 로고    scopus 로고
    • Filtration consistent nonlinear expectations and evaluations of contingent claims
    • MR2064000
    • PENG, S. (2004). Filtration consistent nonlinear expectations and evaluations of contingent claims. Acta Math. Appl. Sin. Engl. Ser. 20 191-214. MR2064000
    • (2004) Acta Math. Appl. Sin. Engl. Ser. , vol.20 , pp. 191-214
    • Peng, S.1
  • 18
    • 0342854527 scopus 로고    scopus 로고
    • Super-replication under Gamma constraint
    • SONER, H. M. and TOUZI, N. (2000). Super-replication under Gamma constraint. SIAM J. Control Optim. 39 73-96.
    • (2000) SIAM J. Control Optim. , vol.39 , pp. 73-96
    • Soner, H.M.1    Touzi, N.2
  • 19
    • 33845670032 scopus 로고    scopus 로고
    • Hedging under gamma constraints by optimal stopping and face-lifting
    • MR2281792
    • SONER, H. M. and TOUZI, N. (2007). Hedging under gamma constraints by optimal stopping and face-lifting. Math. Finance 17 59-79. MR2281792
    • (2007) Math. Finance , vol.17 , pp. 59-79
    • Soner, H.M.1    Touzi, N.2
  • 20
    • 77954539667 scopus 로고    scopus 로고
    • The dynamic programming equation for second order stochastic target problems
    • MR2556347
    • SONER, H. M. and TOUZI, N. (2009). The dynamic programming equation for second order stochastic target problems. SIAM J. Control Optim. 48 2344-2365. MR2556347
    • (2009) SIAM J. Control Optim. , vol.48 , pp. 2344-2365
    • Soner, H.M.1    Touzi, N.2
  • 22
    • 80755142901 scopus 로고    scopus 로고
    • Quasi-sure stochastic analysis through aggregation
    • MR2842089
    • SONER, H. M., TOUZI, N. and ZHANG, J. (2011). Quasi-sure stochastic analysis through aggregation. Electron. J. Probab. 16 1844-1879. MR2842089
    • (2011) Electron. J. Probab. , vol.16 , pp. 1844-1879
    • Soner, H.M.1    Touzi, N.2    Zhang, J.3
  • 23
    • 78650272306 scopus 로고    scopus 로고
    • Martingale representation theorem for the G-expectation
    • MR2746175
    • SONER, H. M., TOUZI, N. and ZHANG, J. (2011). Martingale representation theorem for the G-expectation. Stochastic Process. Appl. 121 265-287. MR2746175
    • (2011) Stochastic Process. Appl. , vol.121 , pp. 265-287
    • Soner, H.M.1    Touzi, N.2    Zhang, J.3


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