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Volumn 11, Issue 3, 2001, Pages 664-693

A dynamic maximum principle for the optimization of recursive utilities under constraints

Author keywords

Backward stochastic differential equations; Forward backward system; Large investor; Maximum principle; Recursive utility; Utility maximization

Indexed keywords


EID: 0035413556     PISSN: 10505164     EISSN: None     Source Type: Journal    
DOI: 10.1214/aoap/1015345345     Document Type: Article
Times cited : (110)

References (42)
  • 4
    • 0001400264 scopus 로고
    • Intertemporal asset pricing with heterogenous consumers and without demand aggregation
    • CONSTANTINIDES, G. (1982). Intertemporal asset pricing with heterogenous consumers and without demand aggregation. J. Business 55 253-267.
    • (1982) J. Business , vol.55 , pp. 253-267
    • Constantinides, G.1
  • 5
    • 84936823769 scopus 로고
    • Capital market equilibrium with transaction costs
    • CONSTANTINIDES, G. (1986). Capital market equilibrium with transaction costs. J. Political Econom. 94 842-862.
    • (1986) J. Political Econom. , vol.94 , pp. 842-862
    • Constantinides, G.1
  • 6
    • 0002720622 scopus 로고
    • Optimal consumption and portfolio policies when asset prices follow a diffusion process
    • COX, J. and HUANG, C. (1989). Optimal consumption and portfolio policies when asset prices follow a diffusion process. J. Econom. Theory 49 33-83.
    • (1989) J. Econom. Theory , vol.49 , pp. 33-83
    • Cox, J.1    Huang, C.2
  • 7
    • 0030637289 scopus 로고    scopus 로고
    • Optimal consumption and equilibrium prices with portfolio constraints and stochastic income
    • CUOCO, D. (1997). Optimal consumption and equilibrium prices with portfolio constraints and stochastic income. J. Econom. Theory 72 33-73.
    • (1997) J. Econom. Theory , vol.72 , pp. 33-73
    • Cuoco, D.1
  • 9
    • 0001368451 scopus 로고
    • Convex duality in constrained portfolio optimization
    • CVITANIC, J. and KARATZAS, I. (1992). Convex duality in constrained portfolio optimization. Ann. Appl. Probab. 2 767-818.
    • (1992) Ann. Appl. Probab. , vol.2 , pp. 767-818
    • Cvitanic, J.1    Karatzas, I.2
  • 10
    • 0000250634 scopus 로고
    • Hedging contingent claims with constrained portfolios
    • CVITANIC, J. and KARATZAS, I. (1993). Hedging contingent claims with constrained portfolios. Ann. Appl. Probab. 3 652-681.
    • (1993) Ann. Appl. Probab. , vol.3 , pp. 652-681
    • Cvitanic, J.1    Karatzas, I.2
  • 12
    • 0001143199 scopus 로고
    • Stochastic differential utility
    • DUFFIE, D. and EPSTEIN, L. (1992). Stochastic differential utility. Econometrica 60 353-394.
    • (1992) Econometrica , vol.60 , pp. 353-394
    • Duffie, D.1    Epstein, L.2
  • 14
    • 38149144032 scopus 로고
    • Continuous-time security pricing: A utility gradient approach
    • DUFFIE, D. and SKIADAS, C. (1994). Continuous-time security pricing: a utility gradient approach. J. Math. Econom. 23 107-131.
    • (1994) J. Math. Econom. , vol.23 , pp. 107-131
    • Duffie, D.1    Skiadas, C.2
  • 15
    • 84986783418 scopus 로고
    • Optimal investment with undiversifiable income risk
    • DUFFIE, D. and ZARIPHOPOULOU, T. (1993). Optimal investment with undiversifiable income risk. Math. Finance 3 135-148.
    • (1993) Math. Finance , vol.3 , pp. 135-148
    • Duffie, D.1    Zariphopoulou, T.2
  • 16
    • 0031483012 scopus 로고    scopus 로고
    • Reflected solutions of backward SDE's and related obstacle problems for PDEs
    • EL KAROUI, N., KAPOUDJIAN, C., PARDOUX, E., PENG, S. and QUENEZ, M. C. (1997). Reflected solutions of backward SDE's and related obstacle problems for PDEs. Ann. Probab. 25 702-737.
    • (1997) Ann. Probab. , vol.25 , pp. 702-737
    • El Karoui, N.1    Kapoudjian, C.2    Pardoux, E.3    Peng, S.4    Quenez, M.C.5
  • 17
    • 0031542653 scopus 로고    scopus 로고
    • Backward stochastic differential equations in finance
    • EL KAROUI, N., PENG, S. and QUENEZ, M. C. (1997). Backward stochastic differential equations in finance. Math. Finance 7 1-71.
    • (1997) Math. Finance , vol.7 , pp. 1-71
    • El Karoui, N.1    Peng, S.2    Quenez, M.C.3
  • 18
    • 0002335001 scopus 로고
    • Dynamic programming and pricing of contingent claims in incomplete market
    • EL KAROUI, N. and QUENEZ, M. C. (1995). Dynamic programming and pricing of contingent claims in incomplete market. SIAM J. Control Optim. 33 29-66.
    • (1995) SIAM J. Control Optim. , vol.33 , pp. 29-66
    • El Karoui, N.1    Quenez, M.C.2
  • 19
    • 0000206041 scopus 로고
    • Intertemporal asset pricing under knightian uncertainty
    • EPSTEIN, L. and WANG, T. (1994). Intertemporal asset pricing under Knightian uncertainty, Econometrica 62 283-322.
    • (1994) Econometrica , vol.62 , pp. 283-322
    • Epstein, L.1    Wang, T.2
  • 20
    • 0000842941 scopus 로고
    • Substitution, risk aversion and the temporal behavior of consumption and asset returns: A theoritical framework
    • EPSTEIN, L. and ZIN, S. (1989). Substitution, risk aversion and the temporal behavior of consumption and asset returns: a theoritical framework. Econometrica 57 937-969.
    • (1989) Econometrica , vol.57 , pp. 937-969
    • Epstein, L.1    Zin, S.2
  • 22
    • 0030115875 scopus 로고    scopus 로고
    • Discounting and optimizing: Capital accumulation as a variational min-max problem
    • GEOFFARD, P. Y. (1996). Discounting and optimizing: capital accumulation as a variational min-max problem. J. Econom. Theory 69 53-70.
    • (1996) J. Econom. Theory , vol.69 , pp. 53-70
    • Geoffard, P.Y.1
  • 23
    • 0007211052 scopus 로고
    • General necessary conditions for optimal control of stochastic system
    • HAUSSMANN, U. (1976). General necessary conditions for optimal control of stochastic system. Math. Program. Study 6 34-38.
    • (1976) Math. Program. Study , vol.6 , pp. 34-38
    • Haussmann, U.1
  • 24
    • 0000985905 scopus 로고
    • Consumption and portfolio policies with incomplete markets and short-selling constraints: The infinite-dimensional case
    • HE, H. and PEARSON, N. (1991). Consumption and portfolio policies with incomplete markets and short-selling constraints: the infinite-dimensional case. J. Econom. Theory 54 259-304.
    • (1991) J. Econom. Theory , vol.54 , pp. 259-304
    • He, H.1    Pearson, N.2
  • 25
    • 51249168165 scopus 로고
    • Solution of a forward-backward stochastic differential equation
    • HU, Y. and PENG, S. (1995). Solution of a forward-backward stochastic differential equation. Probab. Theory Related Fields 103, 273-283.
    • (1995) Probab. Theory Related Fields , vol.103 , pp. 273-283
    • Hu, Y.1    Peng, S.2
  • 26
    • 84986841414 scopus 로고
    • Arbitrage and equilibrium in securities markets with shortsale constraints
    • JOUINI, E. and KALLAL, H. (1995). Arbitrage and equilibrium in securities markets with shortsale constraints. Math. Finance 5 197-232.
    • (1995) Math. Finance , vol.5 , pp. 197-232
    • Jouini, E.1    Kallal, H.2
  • 27
    • 0024771922 scopus 로고
    • Optimization problems in the theory of continuous trading
    • KARATZAS, I. (1989). Optimization problems in the theory of continuous trading. SIAM. J. Control Optim. 27 1221-1259.
    • (1989) SIAM. J. Control Optim. , vol.27 , pp. 1221-1259
    • Karatzas, I.1
  • 28
    • 0023455980 scopus 로고
    • Optimal portfolio and consumption decisions for a small investor on a finite horizon
    • KARATZAS, I., LEHOCZKY, J. P. and SHREVE, S. (1987). Optimal portfolio and consumption decisions for a small investor on a finite horizon. SIAM J. Control Optim. 25 1557-1586.
    • (1987) SIAM J. Control Optim. , vol.25 , pp. 1557-1586
    • Karatzas, I.1    Lehoczky, J.P.2    Shreve, S.3
  • 29
    • 0026156908 scopus 로고
    • Martingale and duality methods for utility maximisation in an incomplete market
    • KARATZAS, I., LEHOCZKY, J. P., SHREVE, S. and XU, G. L. (1991). Martingale and duality methods for utility maximisation in an incomplete market, SIAM J. Control Optim. 29 702-730.
    • (1991) SIAM J. Control Optim. , vol.29 , pp. 702-730
    • Karatzas, I.1    Lehoczky, J.P.2    Shreve, S.3    Xu, G.L.4
  • 31
    • 0033249382 scopus 로고    scopus 로고
    • The asymptotic elasticity of utility functions and optimal investment in incomplete markets
    • KRAMKOV, D. and SCHACHERMAYER, W. (1999). The asymptotic elasticity of utility functions and optimal investment in incomplete markets. Ann. Appl. Probab. 9 904-950.
    • (1999) Ann. Appl. Probab. , vol.9 , pp. 904-950
    • Kramkov, D.1    Schachermayer, W.2
  • 32
    • 0020843670 scopus 로고
    • Optimal consumption and investment policies allowing consumption constraints and bankruptcy
    • LEHOCZKY, J., SETHI, S. and SHREVE, S. (1983). Optimal consumption and investment policies allowing consumption constraints and bankruptcy. Math. Oper. Res. 8 613-636.
    • (1983) Math. Oper. Res. , vol.8 , pp. 613-636
    • Lehoczky, J.1    Sethi, S.2    Shreve, S.3
  • 34
    • 0344891803 scopus 로고
    • Solving forward-backward stochastic differential equations explicitely - A four step scheme
    • MA, J., PROTTER, P. and YONG, J. (1994). Solving forward-backward stochastic differential equations explicitely - a four step scheme. Probab. Theory Related Fields 98 339-359.
    • (1994) Probab. Theory Related Fields , vol.98 , pp. 339-359
    • Ma, J.1    Protter, P.2    Yong, J.3
  • 35
    • 0011090049 scopus 로고
    • Optimum consumption and portfolio rules in a continuous time model
    • MERTON, R. (1971). Optimum consumption and portfolio rules in a continuous time model. J. Econom. Theory 3 373-413.
    • (1971) J. Econom. Theory , vol.3 , pp. 373-413
    • Merton, R.1
  • 36
    • 0025262967 scopus 로고
    • Adapted solution of a backward stochastic differential equation
    • PARDOUX, P. and PENG, S. (1990). Adapted solution of a backward stochastic differential equation. Syst. Control Lett. 14, 55-61.
    • (1990) Syst. Control Lett. , vol.14 , pp. 55-61
    • Pardoux, P.1    Peng, S.2
  • 37
    • 0001098095 scopus 로고
    • A generalized dynamic programming principle and Hamilton-Jacobi-Bellman equation
    • PENG, S. (1992). A generalized dynamic programming principle and Hamilton-Jacobi-Bellman equation. Stochastics 38 119-134.
    • (1992) Stochastics , vol.38 , pp. 119-134
    • Peng, S.1
  • 38
    • 0003103429 scopus 로고
    • A stochastic calculus model of continuous trading: Optimal portfolios
    • PLISKA, S. R. (1986). A stochastic calculus model of continuous trading: optimal portfolios. Math. Oper. Res. 11 371-382.
    • (1986) Math. Oper. Res. , vol.11 , pp. 371-382
    • Pliska, S.R.1
  • 41
    • 0002961811 scopus 로고
    • A duality method for optimal consumption and investment under short-selling prohibition I-general market coefficients; II - Constant market coefficients
    • XU, G. L. and SHREVE, S. (1992). A duality method for optimal consumption and investment under short-selling prohibition I-general market coefficients; II - constant market coefficients. Ann. Appl. Probab. 2 87-112, 314-328.
    • (1992) Ann. Appl. Probab. , vol.2 , pp. 87-112
    • Xu, G.L.1    Shreve, S.2
  • 42
    • 0028338143 scopus 로고
    • Consumption-investment models with constraints
    • ZARIPHOPOULOU, T. (1994). Consumption-investment models with constraints. SIAM J. Control Optim. 32 59-85.
    • (1994) SIAM J. Control Optim. , vol.32 , pp. 59-85
    • Zariphopoulou, T.1


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