메뉴 건너뛰기




Volumn 30, Issue 6, 2012, Pages 997-1018

Maximum Principle for Risk-Sensitive Stochastic Optimal Control Problem and Applications to Finance

Author keywords

Maximum principle; Ornstein Uhlenbeck model; Riccati equation; Risk sensitive control; Stochastic optimal control

Indexed keywords


EID: 84868705244     PISSN: 07362994     EISSN: 15329356     Source Type: Journal    
DOI: 10.1080/07362994.2012.727138     Document Type: Article
Times cited : (27)

References (28)
  • 1
    • 0021455757 scopus 로고
    • Optimal control of partially observable stochastic systems with an exponential-of-integral performance index
    • Bensoussan, A., and Van Schuppen, J. 1985. Optimal control of partially observable stochastic systems with an exponential-of-integral performance index. SIAM Journal on Control and Optimization 23 (4): 599-613.
    • (1985) SIAM Journal on Control and Optimization , vol.23 , Issue.4 , pp. 599-613
    • Bensoussan, A.1    van Schuppen, J.2
  • 3
    • 0000859647 scopus 로고    scopus 로고
    • Minimum principle for partially observable nonlinear risk-sensitive control problems using measure-valued decompositions
    • Charalambous, C., and Hibey, J. 1996. Minimum principle for partially observable nonlinear risk-sensitive control problems using measure-valued decompositions. Stoch. Stoch. Reports 57: 247-288.
    • (1996) Stoch. Stoch. Reports , vol.57 , pp. 247-288
    • Charalambous, C.1    Hibey, J.2
  • 4
    • 84868701994 scopus 로고    scopus 로고
    • Jump-diffusion risk-sensitive asset management I: Diffusion factor model
    • Davis, M., and Lleo, S. 2011. Jump-diffusion risk-sensitive asset management I: Diffusion factor model. SIAM Journal on Financial Mathematics 2 (1): 22-54.
    • (2011) SIAM Journal on Financial Mathematics , vol.2 , Issue.1 , pp. 22-54
    • Davis, M.1    Lleo, S.2
  • 7
    • 80053142081 scopus 로고    scopus 로고
    • Risk-sensitive stochastic control and differential games
    • Fleming, W. 2006. Risk-sensitive stochastic control and differential games. Communications in Information and Systems 6 (3): 161-178.
    • (2006) Communications in Information and Systems , vol.6 , Issue.3 , pp. 161-178
    • Fleming, W.1
  • 8
    • 0033249380 scopus 로고    scopus 로고
    • Optimal long term growth rate of expected utility of wealth
    • Fleming, W., and Sheu, S. 1999. Optimal long term growth rate of expected utility of wealth. Annals of Applied Probability 9 (3): 871-903.
    • (1999) Annals of Applied Probability , vol.9 , Issue.3 , pp. 871-903
    • Fleming, W.1    Sheu, S.2
  • 9
    • 33747892041 scopus 로고    scopus 로고
    • A risk-sensitive stochastic control approach to an optimal investment problem with partial information
    • Hata, H., and Iida, Y. 2006. A risk-sensitive stochastic control approach to an optimal investment problem with partial information. Finance & Stochastics 10: 395-426.
    • (2006) Finance & Stochastics , vol.10 , pp. 395-426
    • Hata, H.1    Iida, Y.2
  • 10
    • 78049527242 scopus 로고    scopus 로고
    • Explicit solution to a certain non-ELQG risk-sensitive stochastic control problem
    • Hata, H., and Sekine, J. 2010. Explicit solution to a certain non-ELQG risk-sensitive stochastic control problem. Applied Mathematics and Optimization 62: 341-380.
    • (2010) Applied Mathematics and Optimization , vol.62 , pp. 341-380
    • Hata, H.1    Sekine, J.2
  • 11
    • 77953108041 scopus 로고    scopus 로고
    • Maximum principles for a class of partial information risk-sensitive optimal controls
    • Huang, J., Li, X., and Wang, G. 2010. Maximum principles for a class of partial information risk-sensitive optimal controls. IEEE Transactions on Automatic Control 55 (6): 1438-1443.
    • (2010) IEEE Transactions on Automatic Control , vol.55 , Issue.6 , pp. 1438-1443
    • Huang, J.1    Li, X.2    Wang, G.3
  • 12
    • 0015615984 scopus 로고
    • Optimal stochastic linear systems with exponential performance criteria and their relation to deterministic differential games
    • Jacobson, D. 1973. Optimal stochastic linear systems with exponential performance criteria and their relation to deterministic differential games. IEEE Transactions on Automatic Control 18: 114-131.
    • (1973) IEEE Transactions on Automatic Control , vol.18 , pp. 114-131
    • Jacobson, D.1
  • 13
    • 0026449891 scopus 로고
    • Asymptotic analysis of nonlinear stochastic risk-sensitive control and differential games
    • James, M. 1992. Asymptotic analysis of nonlinear stochastic risk-sensitive control and differential games. Mathematics of Control, Signals, and Systems 5: 401-417.
    • (1992) Mathematics of Control, Signals, and Systems , vol.5 , pp. 401-417
    • James, M.1
  • 14
    • 0035307358 scopus 로고    scopus 로고
    • Risk-sensitive control with HARA utility
    • Lim, A., and Zhou, X. 2001. Risk-sensitive control with HARA utility. IEEE Transactions on Automatic Control 46 (4): 563-578.
    • (2001) IEEE Transactions on Automatic Control , vol.46 , Issue.4 , pp. 563-578
    • Lim, A.1    Zhou, X.2
  • 15
    • 23144447826 scopus 로고    scopus 로고
    • A new risk-sensitive maximum principle
    • Lim, A., and Zhou, X. 2005. A new risk-sensitive maximum principle. IEEE Transactions on Automatic Control 50 (7): 958-966.
    • (2005) IEEE Transactions on Automatic Control , vol.50 , Issue.7 , pp. 958-966
    • Lim, A.1    Zhou, X.2
  • 17
    • 0348220625 scopus 로고    scopus 로고
    • Optimal strategies for risk-sensitive portfolio optimization problems for general factor models
    • Nagai, H. 2003. Optimal strategies for risk-sensitive portfolio optimization problems for general factor models. SIAM Journal on Control and Optimization 41 (6): 1779-1800.
    • (2003) SIAM Journal on Control and Optimization , vol.41 , Issue.6 , pp. 1779-1800
    • Nagai, H.1
  • 18
    • 0036102920 scopus 로고    scopus 로고
    • Risk-sensitive dynamic portfolio optimization with partial information on infinite time horizon
    • Nagai, H., and Peng, S. 2002. Risk-sensitive dynamic portfolio optimization with partial information on infinite time horizon. Annals of Applied Probability 12 (1): 173-195.
    • (2002) Annals of Applied Probability , vol.12 , Issue.1 , pp. 173-195
    • Nagai, H.1    Peng, S.2
  • 19
    • 0025262967 scopus 로고
    • Adapted solution of a backward stochastic differential equation
    • Pardoux, E., and Peng, S.1990. Adapted solution of a backward stochastic differential equation. Systems & Control Letters14:55-61.
    • (1990) Systems & Control Letters , vol.14 , pp. 55-61
    • Pardoux, E.1    Peng, S.2
  • 20
    • 0025462369 scopus 로고
    • A general stochastic maximum principle for optimal control problems
    • Peng, S. 1990. A general stochastic maximum principle for optimal control problems. SIAM Journal on Control Optimization 28 (4): 966-979.
    • (1990) SIAM Journal on Control Optimization , vol.28 , Issue.4 , pp. 966-979
    • Peng, S.1
  • 21
    • 79952161319 scopus 로고    scopus 로고
    • A risk-sensitive stochastic maximum principle for optimal control of jump diffusions and its applications
    • Shi, J., and Wu, Z. 2011. A risk-sensitive stochastic maximum principle for optimal control of jump diffusions and its applications. Acta Mathematica Scientia 31B(2): 419-433.
    • (2011) Acta Mathematica Scientia , vol.31 B , Issue.2 , pp. 419-433
    • Shi, J.1    Wu, Z.2
  • 22
    • 84868712262 scopus 로고    scopus 로고
    • On the solution of a one-dimensional Riccati equation related to risk-sensitive portfolio optimization problem
    • Shi, M. 2005. On the solution of a one-dimensional Riccati equation related to risk-sensitive portfolio optimization problem. Reports of the Faculty of Science Engineering, Saga University, Mathematics 34(1): 17-24.
    • (2005) Reports of the Faculty of Science Engineering, Saga University, Mathematic , vol.34 , Issue.1 , pp. 17-24
    • Shi, M.1
  • 23
    • 35948987574 scopus 로고    scopus 로고
    • Stochastic maximum principle for a kind of risk-sensitive optimal control problem and application to portfolio choice
    • Wang, G., and Wu, Z. 2007. Stochastic maximum principle for a kind of risk-sensitive optimal control problem and application to portfolio choice. Acta Automatica Sinica 33 (10): 1043-1047.
    • (2007) Acta Automatica Sinica , vol.33 , Issue.10 , pp. 1043-1047
    • Wang, G.1    Wu, Z.2
  • 24
    • 67349101334 scopus 로고    scopus 로고
    • General maximum principles for partially observed risk-sensitive optimal control problems and applications to finance
    • Wang, G., and Wu, Z. 2009. General maximum principles for partially observed risk-sensitive optimal control problems and applications to finance. Journal of Optimization Theory and Applications 141: 677-700.
    • (2009) Journal of Optimization Theory and Applications , vol.141 , pp. 677-700
    • Wang, G.1    Wu, Z.2
  • 25
    • 0001667951 scopus 로고
    • Risk sensitive linear quadratic Gaussian control
    • Whittle, P. 1981. Risk sensitive linear quadratic Gaussian control. Advances in Applied Probability 13 (4): 764-777.
    • (1981) Advances in Applied Probability , vol.13 , Issue.4 , pp. 764-777
    • Whittle, P.1
  • 26
    • 0025488368 scopus 로고
    • A risk-sensitive maximum principle
    • Whittle, P. 1990. A risk-sensitive maximum principle. Systems & Control Letters 15: 183-192.
    • (1990) Systems & Control Letters , vol.15 , pp. 183-192
    • Whittle, P.1
  • 27
    • 55249098899 scopus 로고    scopus 로고
    • A stochastic linear quadratic optimal control problem with generalized expectation
    • Yong, J. 2008. A stochastic linear quadratic optimal control problem with generalized expectation. Stochastic Analysis and Applications 26: 1136-1160.
    • (2008) Stochastic Analysis and Applications , vol.26 , pp. 1136-1160
    • Yong, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.