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Volumn 18, Issue 3, 2008, Pages 929-966

A unified framework for utility maximization problems: An orlicz space approach

Author keywords

martingale measure; Convex duality; Incomplete market; Nonlocally bounded semimartingale; Orlicz space; Singular functionals; Utility maximization

Indexed keywords


EID: 52949142754     PISSN: 10505164     EISSN: 10505164     Source Type: Journal    
DOI: 10.1214/07-AAP469     Document Type: Article
Times cited : (73)

References (24)
  • 1
    • 52949130826 scopus 로고    scopus 로고
    • ALIPRANTIS, C. and BURKINSHAW, O. (1985). Positive Operators. Academic Press, Orlando, FL. MR0809372
    • ALIPRANTIS, C. and BURKINSHAW, O. (1985). Positive Operators. Academic Press, Orlando, FL. MR0809372
  • 2
    • 52949146600 scopus 로고    scopus 로고
    • ALIPRANTIS, C. and BORDER, K. C. (2005). Infinite Dimensional Analysis, 3rd ed. Springer, Berlin. MR1321140
    • ALIPRANTIS, C. and BORDER, K. C. (2005). Infinite Dimensional Analysis, 3rd ed. Springer, Berlin. MR1321140
  • 3
    • 0002183908 scopus 로고
    • Linear functionals on Orlicz spaces
    • MR0123907
    • ANDO, T. (1960). Linear functionals on Orlicz spaces. Nieuw Arch. Wisk (3) 8 1-16. MR0123907
    • (1960) Nieuw Arch. Wisk , vol.8 , Issue.3 , pp. 1-16
    • ANDO, T.1
  • 4
    • 0001105625 scopus 로고
    • Couverture des actifs contingents et prix maximum.
    • MR1277002
    • ANSEL, J. P. and STRICKER, C. (1994). Couverture des actifs contingents et prix maximum. Ann. Inst. H. Poincaré Probab. Statist. 30 303-315. MR1277002
    • (1994) Ann. Inst. H. Poincaré Probab. Statist , vol.30 , pp. 303-315
    • ANSEL, J.P.1    STRICKER, C.2
  • 5
    • 24144484889 scopus 로고    scopus 로고
    • Utility maximization in incomplete markets for unbounded processes
    • MR2212892
    • BIAGINI, S. and FRITTELLI, M. (2005). Utility maximization in incomplete markets for unbounded processes. Finance and Stochastics 9 493-517. MR2212892
    • (2005) Finance and Stochastics , vol.9 , pp. 493-517
    • BIAGINI, S.1    FRITTELLI, M.2
  • 6
    • 33847375958 scopus 로고    scopus 로고
    • The supermartingale property of the optimal portfolio process for general semimartingales
    • MR2295831
    • BIAGINI, S. and FRITTELLI, M. (2007). The supermartingale property of the optimal portfolio process for general semimartingales. Finance and Stochastics 11 253-266. MR2295831
    • (2007) Finance and Stochastics , vol.11 , pp. 253-266
    • BIAGINI, S.1    FRITTELLI, M.2
  • 7
    • 52949099738 scopus 로고    scopus 로고
    • Indifference price for general semimartingales
    • Unpublished manuscript
    • BIAGINI, S., FRITTELLI, M. and GRASSELI, M. (2007). Indifference price for general semimartingales. Unpublished manuscript.
    • (2007)
    • BIAGINI, S.1    FRITTELLI, M.2    GRASSELI, M.3
  • 9
    • 52949086656 scopus 로고    scopus 로고
    • BIAOINI, S. (2008). An Orlicz spaces duality for utility maximization in incomplete markets. In Seminar on Stochastic Analysis, Random Fields and Applications V. Progress Probab. 59 445-4-55. Birkhäuser, Basel.
    • BIAOINI, S. (2008). An Orlicz spaces duality for utility maximization in incomplete markets. In Seminar on Stochastic Analysis, Random Fields and Applications V. Progress Probab. 59 445-4-55. Birkhäuser, Basel.
  • 10
    • 0000929070 scopus 로고
    • Conjugate convex functions in optimal stochastic control
    • MR0329726
    • BISMUT, J. M. (1973). Conjugate convex functions in optimal stochastic control. J. Math. Anal. Appl. 44 384-404. MR0329726
    • (1973) J. Math. Anal. Appl , vol.44 , pp. 384-404
    • BISMUT, J.M.1
  • 11
    • 52949085326 scopus 로고    scopus 로고
    • BREZIS, H. (1983). Analyse Fonctionnelle. Masson, Paris. MR0697382
    • BREZIS, H. (1983). Analyse Fonctionnelle. Masson, Paris. MR0697382
  • 12
    • 0000024283 scopus 로고    scopus 로고
    • Utility maximization in incomplete markets with random endowment
    • MR1841719
    • CVITANIĆ, J., SCHACHERMAYER, W. and WANG, H. (2001). Utility maximization in incomplete markets with random endowment. Finance and Stochastics 5 237-259. MR1841719
    • (2001) Finance and Stochastics , vol.5 , pp. 237-259
    • CVITANIĆ, J.1    SCHACHERMAYER, W.2    WANG, H.3
  • 13
    • 0032339523 scopus 로고    scopus 로고
    • The fundamental theorem of asset pricing for unbounded stochastic processes
    • MR 1671792
    • DELBAEN, F. and SCHACHERMAYER, W. (1998). The fundamental theorem of asset pricing for unbounded stochastic processes. Math. Ann. 312 215-250. MR 1671792
    • (1998) Math. Ann , vol.312 , pp. 215-250
    • DELBAEN, F.1    SCHACHERMAYER, W.2
  • 14
    • 52949101558 scopus 로고    scopus 로고
    • EMERY, M. (1980). Compensation de processus àvariation finie non localement integrables. Séminaire de Probabilités XIV (Paris, 1978/1979). Lecture Notes in Math. 784 152-160. Springer, Berlin. MR0580120
    • EMERY, M. (1980). Compensation de processus àvariation finie non localement integrables. Séminaire de Probabilités XIV (Paris, 1978/1979). Lecture Notes in Math. 784 152-160. Springer, Berlin. MR0580120
  • 15
    • 52949143701 scopus 로고    scopus 로고
    • EKELAND, I. and TEMAM, R. (1976). Convex Analysis and Variational Problems. North-Holland, Amsterdam. MR0463994
    • EKELAND, I. and TEMAM, R. (1976). Convex Analysis and Variational Problems. North-Holland, Amsterdam. MR0463994
  • 16
    • 3142767391 scopus 로고    scopus 로고
    • Some remarks on arbitrage and preferences in securities market models
    • MR2070168
    • FRITTELLI, M. (2004). Some remarks on arbitrage and preferences in securities market models. Math. Finance 14 351-357. MR2070168
    • (2004) Math. Finance , vol.14 , pp. 351-357
    • FRITTELLI, M.1
  • 17
    • 0000637550 scopus 로고
    • Concrete representation of abstract (L)-spaces and the mean ergodic theorem
    • MR0004095
    • KAKUTANI, S. (1941). Concrete representation of abstract (L)-spaces and the mean ergodic theorem. Ann. of Math. 42 523-537. MR0004095
    • (1941) Ann. of Math , vol.42 , pp. 523-537
    • KAKUTANI, S.1
  • 18
    • 52949108303 scopus 로고    scopus 로고
    • KOZEK, A. (1979). Convex integral functionals on Orlicz spaces. Ann. Soc. Math. Polonae Ser. 1. Comm. Math. XXI 109-134. MR0577677
    • KOZEK, A. (1979). Convex integral functionals on Orlicz spaces. Ann. Soc. Math. Polonae Ser. 1. Comm. Math. XXI 109-134. MR0577677
  • 19
    • 0033249382 scopus 로고    scopus 로고
    • The asymptotic elasticity of utility function and optimal investment in incomplete markets
    • MR1722287
    • KRAMKOV, D. and SCHACHERMAYER, W. (1999). The asymptotic elasticity of utility function and optimal investment in incomplete markets. Ann. Appl. Probab. 9 904-950. MR1722287
    • (1999) Ann. Appl. Probab , vol.9 , pp. 904-950
    • KRAMKOV, D.1    SCHACHERMAYER, W.2
  • 20
    • 0003103429 scopus 로고
    • A stochastic calculus model of continuous trading: Optimal portfolio
    • MR0844013
    • PLISKA, S. R. (1986). A stochastic calculus model of continuous trading: Optimal portfolio. Math. Oper. Res. 11 371-382. MR0844013
    • (1986) Math. Oper. Res , vol.11 , pp. 371-382
    • PLISKA, S.R.1
  • 21
    • 84972551707 scopus 로고
    • Linear functionals on Orlicz spaces: General theory
    • MR0412791
    • RAO, M. M. (1968). Linear functionals on Orlicz spaces: General theory. Pacific J. Math. 25 553-585. MR0412791
    • (1968) Pacific J. Math , vol.25 , pp. 553-585
    • RAO, M.M.1
  • 22
    • 84972496401 scopus 로고
    • Integrals which are convex functionals. II
    • MR0310612
    • ROCKAFELLAR, R. T. (1971). Integrals which are convex functionals. II. Pacific J. Math. 39 694-734. MR0310612
    • (1971) Pacific J. Math , vol.39 , pp. 694-734
    • ROCKAFELLAR, R.T.1
  • 23
    • 52949144431 scopus 로고    scopus 로고
    • RAO, M. M. and REN, Z. D. (1991). Theory of Orlicz Spaces. Dekker, New York. MR1113700
    • RAO, M. M. and REN, Z. D. (1991). Theory of Orlicz Spaces. Dekker, New York. MR1113700
  • 24
    • 0035413558 scopus 로고    scopus 로고
    • Optimal investment in incomplete markets when wealth may become negative
    • MR1865021
    • SCHACHERMAYER, W. (2001). Optimal investment in incomplete markets when wealth may become negative. Ann. Appl. Probab. 11 694-734. MR1865021
    • (2001) Ann. Appl. Probab , vol.11 , pp. 694-734
    • SCHACHERMAYER, W.1


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