메뉴 건너뛰기




Volumn 17, Issue 3, 2007, Pages 449-476

An old-new concept of convex risk measures: The optimized certainty equivalent

Author keywords

divergences; Certainty equivalents; Coherent risk measures; Conditional value at risk; Convex duality; Convex risk measures; Decision making under uncertainty; Expected utility; Information theory; Penalty functions; Risk aversion; Shortfall risk

Indexed keywords


EID: 34547301246     PISSN: 09601627     EISSN: 14679965     Source Type: Journal    
DOI: 10.1111/j.1467-9965.2007.00311.x     Document Type: Article
Times cited : (342)

References (31)
  • 1
    • 0036077584 scopus 로고    scopus 로고
    • On the Coherence of Expected Shortfall
    • and.
    • Acerbi, C., and D. Tasche (2002 On the Coherence of Expected Shortfall, J. Banking Finan. 26, 1487 1503.
    • (2002) J. Banking Finan. , vol.26 , pp. 1487-1503
    • Acerbi, C.1    Tasche, D.2
  • 5
    • 0030656052 scopus 로고    scopus 로고
    • Duality and Equilbrium Prices in Economics of Uncertainty
    • and.
    • Ben-Israel, A., and A. Ben-Tal (1997 Duality and Equilbrium Prices in Economics of Uncertainty, Math. Methods Oper. Res. 46, 51 85.
    • (1997) Math. Methods Oper. Res. , vol.46 , pp. 51-85
    • Ben-Israel, A.1    Ben-Tal, A.2
  • 6
    • 0022806911 scopus 로고
    • Expected Utility, Penalty Functions and Duality in Stochastic Nonlinear Programming
    • and.
    • Ben-Tal, A., and M. Teboulle (1986 Expected Utility, Penalty Functions and Duality in Stochastic Nonlinear Programming, Manage. Sci. 32, 1445 1466.
    • (1986) Manage. Sci. , vol.32 , pp. 1445-1466
    • Ben-Tal, A.1    Teboulle, M.2
  • 7
    • 0023349263 scopus 로고
    • Penalty Functions and Duality in Stochastic Programming via φ-Divergence Functionals
    • and.
    • Ben-Tal, A., and M. Teboulle (1987 Penalty Functions and Duality in Stochastic Programming via φ-Divergence Functionals, Mathe. Oper. Res. 12, 224 240.
    • (1987) Mathe. Oper. Res. , vol.12 , pp. 224-240
    • Ben-Tal, A.1    Teboulle, M.2
  • 8
    • 5244277378 scopus 로고
    • Portfolio Theory for the Recourse Certainty Equivalent Maximizing Investor
    • and.
    • Ben-Tal, A., and M. Teboulle (1991 Portfolio Theory for the Recourse Certainty Equivalent Maximizing Investor, Anna. Oper. Res. 31, 479 499.
    • (1991) Anna. Oper. Res. , vol.31 , pp. 479-499
    • Ben-Tal, A.1    Teboulle, M.2
  • 9
    • 0042169410 scopus 로고
    • Certainty Equivalent and Generalized Information Measures: Duality and Extremal Principles
    • and.
    • Ben-Tal, A., A. Ben-Israel, and M. Teboulle (1991 Certainty Equivalent and Generalized Information Measures: Duality and Extremal Principles, J. Math. Anal. Appl. 157, 211 236.
    • (1991) J. Math. Anal. Appl. , vol.157 , pp. 211-236
    • Ben-Tal, A.1    Ben-Israel, A.2    Teboulle, M.3
  • 10
    • 0343924514 scopus 로고
    • A Recourse Certainty Equivalent for Decisions under Uncertainty
    • and.
    • Ben-Tal A., and A. Ben-Israel (1991 A Recourse Certainty Equivalent for Decisions under Uncertainty, Ann. Oper. Res. 30, 3 44.
    • (1991) Ann. Oper. Res. , vol.30 , pp. 3-44
    • Ben-Tal, A.1    Ben-Israel, A.2
  • 11
    • 0026867929 scopus 로고
    • Partially Finite Convex Programming. I. Quasi Relative Interiors and Duality Theory
    • and.
    • Borwein, J. M., and A. S. Lewis (1992 Partially Finite Convex Programming. I. Quasi Relative Interiors and Duality Theory, Math. Programming 57, 15 48.
    • (1992) Math. Programming , vol.57 , pp. 15-48
    • Borwein, J.M.1    Lewis, A.S.2
  • 13
    • 0000489740 scopus 로고
    • Information-Type Measures of Difference of Probability Distributions and Indirect Observations
    • Csiszar, I. (1967 Information-Type Measures of Difference of Probability Distributions and Indirect Observations, Studia Sci. Math. Hungarica 2, 299 318.
    • (1967) Studia Sci. Math. Hungarica , vol.2 , pp. 299-318
    • Csiszar, I.1
  • 14
    • 0036076693 scopus 로고    scopus 로고
    • Putting Order in Risk Measures
    • and.
    • Fritelli, M., and E. R. Gianin (2002 Putting Order in Risk Measures, J. Banking and Finan. 26, 1473 1486.
    • (2002) J. Banking and Finan. , vol.26 , pp. 1473-1486
    • Fritelli, M.1    Gianin, E.R.2
  • 15
    • 0038551367 scopus 로고    scopus 로고
    • Convex Measures of Risk and Trading Constraints
    • and.
    • Föllmer, H., and A. Schied (2002 Convex Measures of Risk and Trading Constraints, Finance Stoch. 6, 429 447.
    • (2002) Finance Stoch. , vol.6 , pp. 429-447
    • Föllmer, H.1    Schied, A.2
  • 17
    • 0025462417 scopus 로고
    • A Comparison of Constraint Qualifications in Infinite-Dimensional Convex Programming
    • and.
    • Gowda, M. S., and M. Teboulle (1990 A Comparison of Constraint Qualifications in Infinite-Dimensional Convex Programming, SIAM J. Control Optimization 28, 925 935.
    • (1990) SIAM J. Control Optimization , vol.28 , pp. 925-935
    • Gowda, M.S.1    Teboulle, M.2
  • 18
    • 0002942943 scopus 로고
    • Rules for Ordering Uncertain Prospects
    • and.
    • Hadar, J., and W. Russell (1969 Rules for Ordering Uncertain Prospects, Am. Econ. Revi. 59, 25 34.
    • (1969) Am. Econ. Revi. , vol.59 , pp. 25-34
    • Hadar, J.1    Russell, W.2
  • 21
    • 84995186518 scopus 로고
    • Portfolio selection
    • Markowitz, H. M. (1952 Portfolio selection, J. Finance 7, 77 91.
    • (1952) J. Finance , vol.7 , pp. 77-91
    • Markowitz, H.M.1
  • 23
    • 0003221224 scopus 로고    scopus 로고
    • Some Remarks on the Value-at-Risk and the Conditional Value-at-Risk
    • in. S. Uryasev, ed. Dordrecht: Kluwer Academic Publishers.
    • Pflug, G. (2000 Some Remarks on the Value-at-Risk and the Conditional Value-at-Risk in Probabilistic Constrained Optimization: Methodology and Applications, S. Uryasev, ed. Dordrecht : Kluwer Academic Publishers.
    • (2000) Probabilistic Constrained Optimization: Methodology and Applications
    • Pflug, G.1
  • 24
    • 33144461582 scopus 로고    scopus 로고
    • A Risk Measure for Income Processes
    • and., in. G. Szegoe, ed. New York: J. Wiley and Sons.
    • Pflug, G., and A. Ruszczynski (2004 A Risk Measure for Income Processes, in G. Szegoe, ed. Risk Measures for the 21st Century. New York : J. Wiley and Sons.
    • (2004) Risk Measures for the 21st Century.
    • Pflug, G.1    Ruszczynski, A.2
  • 25
    • 0001579697 scopus 로고
    • Risk Aversion in the Small and in the Large
    • Pratt, J. W. (1964 Risk Aversion in the Small and in the Large, Econometrica 32, 122 136.
    • (1964) Econometrica , vol.32 , pp. 122-136
    • Pratt, J.W.1
  • 26
    • 0004267646 scopus 로고
    • Princeton New Jersey: Princeton University Press.
    • Rockafellar, R. T. (1970 Convex Analysis, Princeton New Jersey : Princeton University Press.
    • (1970) Convex Analysis
    • Rockafellar, R.T.1
  • 27
    • 0000819314 scopus 로고
    • Integral Functionals, Normal Integrands and Measurable Selections. Nonlinear Operators and the Calculus of Variations
    • in. Berlin: Springer.
    • Rockafellar, R. T. (1976 Integral Functionals, Normal Integrands and Measurable Selections. Nonlinear Operators and the Calculus of Variations, in Lecture Notes in Math., Vol. 543, 157 207. Berlin : Springer.
    • (1976) Lecture Notes in Math., Vol. 543 , pp. 157-207
    • Rockafellar, R.T.1
  • 28
    • 0002062038 scopus 로고    scopus 로고
    • Optimization of Conditional Value-at-Risk
    • and.
    • Rockafellar, R. T., and S. Uryasev (2000 Optimization of Conditional Value-at-Risk, Journal of Risk 2, 21 41.
    • (2000) Journal of Risk , vol.2 , pp. 21-41
    • Rockafellar, R.T.1    Uryasev, S.2
  • 29
    • 0036076694 scopus 로고    scopus 로고
    • Conditional Value-at-Risk for General Loss Distributions
    • and.
    • Rockafellar, R. T., and S. Uryasev (2002 Conditional Value-at-Risk for General Loss Distributions, J. Banking Finan. 26, 1443 1471.
    • (2002) J. Banking Finan. , vol.26 , pp. 1443-1471
    • Rockafellar, R.T.1    Uryasev, S.2
  • 31
    • 0002569928 scopus 로고
    • The dual theory of choice under risk
    • Yaari, M. E. (1987 The dual theory of choice under risk, Econometrica 55, 95 115.
    • (1987) Econometrica , vol.55 , pp. 95-115
    • Yaari, M.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.