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Volumn 52, Issue 3, 2008, Pages 389-415

Pricing with coherent risk

Author keywords

Capital allocation; Coherent risk measure; Extreme measure; Generator; No good deals; RAROC; Risk contribution; Risk neutral measure; Support function; Tail V@R; Transaction costs; Weighted V@R

Indexed keywords


EID: 55449135924     PISSN: 0040585X     EISSN: 10957219     Source Type: Journal    
DOI: 10.1137/S0040585X97983158     Document Type: Article
Times cited : (32)

References (70)
  • 1
    • 0036071567 scopus 로고    scopus 로고
    • Spectral measures of risk: A coherent representation of subjective risk aversion
    • C. ACERBI, Spectral measures of risk: A coherent representation of subjective risk aversion, J. Banking and Finance, 26 (2002), pp. 1505-1518.
    • (2002) J. Banking and Finance , vol.26 , pp. 1505-1518
    • ACERBI, C.1
  • 2
    • 12444315647 scopus 로고    scopus 로고
    • Coherent representations of subjective risk aversion
    • G. Szegö, ed, John Wiley, New York
    • C. ACERBI, Coherent representations of subjective risk aversion, in Risk Measures for the 21st Century, G. Szegö, ed., John Wiley, New York, 2004, pp. 147-207.
    • (2004) Risk Measures for the 21st Century , pp. 147-207
    • ACERBI, C.1
  • 3
    • 0036077584 scopus 로고    scopus 로고
    • On the coherence of expected shortfall
    • C. ACERBI AND D. TASCHE, On the coherence of expected shortfall, J. Banking and Finance, 26 (2002), pp. 1487-1503.
    • (2002) J. Banking and Finance , vol.26 , pp. 1487-1503
    • ACERBI, C.1    TASCHE, D.2
  • 6
    • 0034039182 scopus 로고    scopus 로고
    • Gain, loss, and asset pricing
    • A. BERNARDO AND O. LEDOIT, Gain, loss, and asset pricing, J. Political Economy, 108 (2000), pp. 144-172.
    • (2000) J. Political Economy , vol.108 , pp. 144-172
    • BERNARDO, A.1    LEDOIT, O.2
  • 7
    • 55449117454 scopus 로고    scopus 로고
    • T. BJORK AND I. SLINKO, Towards a General Theory of Good Deal Bounds, EFA 2005 Moscow Meeting Paper, available online at http://papers.ssrn.com/sol3/paper.cFm?abstract_id=675225.
    • T. BJORK AND I. SLINKO, Towards a General Theory of Good Deal Bounds, EFA 2005 Moscow Meeting Paper, available online at http://papers.ssrn.com/sol3/paper.cFm?abstract_id=675225.
  • 8
    • 0346317304 scopus 로고    scopus 로고
    • Core of convex distortions of a probability
    • G. CARLIER AND R. A. DANA, Core of convex distortions of a probability, J. Economic Theory, 113 (2003), pp. 199-222.
    • (2003) J. Economic Theory , vol.113 , pp. 199-222
    • CARLIER, G.1    DANA, R.A.2
  • 9
    • 0000525686 scopus 로고    scopus 로고
    • Pricing and hedging in incomplete markets
    • P. CARR, H. GEMAN, AND D. MADAN, Pricing and hedging in incomplete markets, J. Financial Economics, 62 (2001), pp. 131-167.
    • (2001) J. Financial Economics , vol.62 , pp. 131-167
    • CARR, P.1    GEMAN, H.2    MADAN, D.3
  • 10
    • 33747875718 scopus 로고    scopus 로고
    • Pricing in incomplete markets: From absence of good deals to acceptable risk
    • G. Szegö, ed, John Wiley, New York
    • P. CARR, H. GEMAN, AND D. MADAN, Pricing in incomplete markets: From absence of good deals to acceptable risk, in Risk Measures for the 21st Century, G. Szegö, ed., John Wiley, New York, 2004, pp. 451-474.
    • (2004) Risk Measures for the 21st Century , pp. 451-474
    • CARR, P.1    GEMAN, H.2    MADAN, D.3
  • 11
    • 2442542150 scopus 로고    scopus 로고
    • The theory of good-deal pricing in financial markets
    • H. Geman, D. Madan, S. Pliska, T. Vorst, eds, Springer-Verlag, Berlin
    • A. ČERNÝ AND S. HODGES, The theory of good-deal pricing in financial markets, in Mathematical Finance - Bachelier Congress 2000, H. Geman, D. Madan, S. Pliska, T. Vorst, eds., Springer-Verlag, Berlin, 2002, pp. 175-202.
    • (2000) Mathematical Finance - Bachelier Congress , pp. 175-202
    • ČERNÝ, A.1    HODGES, S.2
  • 13
    • 34547512207 scopus 로고    scopus 로고
    • General arbitrage pricing model: Possibility approach
    • Lecture Notes Math. 1899, Springer-Verlag, Berlin, New York, Also available online at
    • A. S. CHERNY, General arbitrage pricing model: Possibility approach, in Seminar of Probability 40, Lecture Notes Math. 1899, Springer-Verlag, Berlin, New York, 2007, pp. 415-446. Also available online at http://mech.math.msu.su/~cherny.
    • (2007) Seminar of Probability , vol.40 , pp. 415-446
    • CHERNY, A.S.1
  • 14
    • 34547532194 scopus 로고
    • General arbitrage pricing model: Transaction costs
    • Springer-Verlag, Berlin, New York, Also available online at
    • A. S. CHERNY, General arbitrage pricing model: Transaction costs, Lecture Notes Math. 1899, Springer-Verlag, Berlin, New York, 2007, pp. 447-462. Also available online at http://mech.math.msu.su/~cherny.
    • (1899) Lecture Notes Math , pp. 447-462
    • CHERNY, A.S.1
  • 16
    • 33747882452 scopus 로고    scopus 로고
    • Weighted V@R and its properties
    • A. S. CHERNY, Weighted V@R and its properties, Finance Stoch., 10 (2006), pp. 367-393.
    • (2006) Finance Stoch , vol.10 , pp. 367-393
    • CHERNY, A.S.1
  • 17
    • 0343527285 scopus 로고    scopus 로고
    • Beyond arbitrage: Good-deal asset price bounds in incomplete markets
    • J. H. COCHRANE AND J. SAÁ-REQUEJO, Beyond arbitrage: Good-deal asset price bounds in incomplete markets, J. Political Economy, 108 (2000), pp. 79-119.
    • (2000) J. Political Economy , vol.108 , pp. 79-119
    • COCHRANE, J.H.1    SAÁ-REQUEJO, J.2
  • 18
    • 0010626275 scopus 로고    scopus 로고
    • On dynamic measures of risk
    • J. CVITANIĆ AND I. KARATZAS, On dynamic measures of risk, Finance Stoch., 3 (1999), pp. 451-482.
    • (1999) Finance Stoch , vol.3 , pp. 451-482
    • CVITANIĆ, J.1    KARATZAS, I.2
  • 19
    • 0002241143 scopus 로고    scopus 로고
    • A closed-form solution to the problem of superreplication under transaction costs
    • J. CVITANIĆ, H. PHAM, AND N. TOUZI, A closed-form solution to the problem of superreplication under transaction costs, Finance Stoch., 3 (1999), pp. 35-54.
    • (1999) Finance Stoch , vol.3 , pp. 35-54
    • CVITANIĆ, J.1    PHAM, H.2    TOUZI, N.3
  • 20
    • 0000916023 scopus 로고
    • Equivalent martingale measures and noarbitrage in stochastic securities market models
    • R. C. DALANG, A. MORTON, AND W. WILLINGER, Equivalent martingale measures and noarbitrage in stochastic securities market models, Stochastics Stochastics Rep., 29 (1990), pp. 185-201.
    • (1990) Stochastics Stochastics Rep , vol.29 , pp. 185-201
    • DALANG, R.C.1    MORTON, A.2    WILLINGER, W.3
  • 21
    • 0141822085 scopus 로고    scopus 로고
    • Coherent risk measures on general probability spaces
    • K. Sandmann and P. Schönbucher, eds, Springer-Verlag, Berlin
    • F. DELBAEN, Coherent risk measures on general probability spaces, in Advances in Finance Stochastics, Essays in Honor of Dieter Sondermann. K. Sandmann and P. Schönbucher, eds., Springer-Verlag, Berlin, 2002, pp. 1-37.
    • (2002) Advances in Finance Stochastics, Essays in Honor of Dieter Sondermann , pp. 1-37
    • DELBAEN, F.1
  • 23
    • 0001249935 scopus 로고
    • A general version of the fundamental theorem of asset pricing
    • F. DELBAEN AND W. SCHACHERMAYER, A general version of the fundamental theorem of asset pricing, Math. Ann., 300 (1994), pp. 463-520.
    • (1994) Math. Ann , vol.300 , pp. 463-520
    • DELBAEN, F.1    SCHACHERMAYER, W.2
  • 24
    • 0032339523 scopus 로고    scopus 로고
    • The fundamental theorem of asset pricing for unbounded stochastic processes
    • F. DELBAEN AND W. SCHACHERMAYER, The fundamental theorem of asset pricing for unbounded stochastic processes, Math. Ann., 312 (1998), pp. 215-250.
    • (1998) Math. Ann , vol.312 , pp. 215-250
    • DELBAEN, F.1    SCHACHERMAYER, W.2
  • 25
    • 33750539572 scopus 로고    scopus 로고
    • Asset pricing and hedging in financial markets with transaction costs: An approach based on the von Neumann-Gale model
    • M. A. H. DEMPSTER, I. V. EVSTIGNEEV, AND M. I. TAKSAR, Asset pricing and hedging in financial markets with transaction costs: An approach based on the von Neumann-Gale model, Ann. Finance, 2 (2006), pp. 327-355.
    • (2006) Ann. Finance , vol.2 , pp. 327-355
    • DEMPSTER, M.A.H.1    EVSTIGNEEV, I.V.2    TAKSAR, M.I.3
  • 26
    • 0005789454 scopus 로고    scopus 로고
    • Coherent allocation of risk capital
    • M. DENAULT, Coherent allocation of risk capital, J. Risk, 4 (2001), pp. 1-34.
    • (2001) J. Risk , vol.4 , pp. 1-34
    • DENAULT, M.1
  • 27
    • 24144491067 scopus 로고    scopus 로고
    • Conditional and dynamic convex risk measures
    • K. DETLEFSEN AND G. SCANDOLO, Conditional and dynamic convex risk measures, Finance Stoch., 9 (2005), pp. 539-561.
    • (2005) Finance Stoch , vol.9 , pp. 539-561
    • DETLEFSEN, K.1    SCANDOLO, G.2
  • 28
    • 55449084724 scopus 로고    scopus 로고
    • Spectral risk measures
    • K. DOWD, Spectral risk measures, Financial Engineering News, 42 (2005), pp. 11-12.
    • (2005) Financial Engineering News , vol.42 , pp. 11-12
    • DOWD, K.1
  • 29
    • 0002842115 scopus 로고
    • Mean-variance hedging in continuous time
    • D. DUFFIE AND H. R. RICHARDSON, Mean-variance hedging in continuous time, Ann. Appl. Probab., 1 (1991), pp. 1-15.
    • (1991) Ann. Appl. Probab , vol.1 , pp. 1-15
    • DUFFIE, D.1    RICHARDSON, H.R.2
  • 30
    • 0001866003 scopus 로고
    • Les aspects probabilistes du contrôle stochastique
    • Ninth Saint Flour Probability Summer School, Springer-Verlag, Berlin
    • N. EL KAROUI, Les aspects probabilistes du contrôle stochastique, in Ninth Saint Flour Probability Summer School - 1979, Lecture Notes in Math. 876, Springer-Verlag, Berlin, 1981, pp. 73-238.
    • (1979) Lecture Notes in Math , vol.876 , pp. 73-238
    • EL KAROUI, N.1
  • 31
    • 0037453923 scopus 로고    scopus 로고
    • Risk capital allocation by coherent risk measures based on one-sided moments
    • T. FISCHER, Risk capital allocation by coherent risk measures based on one-sided moments, Insurance Math. Econom., 32 (2003), pp. 135-146.
    • (2003) Insurance Math. Econom , vol.32 , pp. 135-146
    • FISCHER, T.1
  • 32
    • 0003356802 scopus 로고
    • Weakly Compact Sets
    • Springer, Berlin
    • K. FLORET, Weakly Compact Sets, Lecture Notes in Math. 801, Springer, Berlin, 1980.
    • (1980) Lecture Notes in Math , vol.801
    • FLORET, K.1
  • 34
    • 0038551367 scopus 로고    scopus 로고
    • Convex measures of risk and trading constraints
    • H. FÖLLMER AND A. SCHIED, Convex measures of risk and trading constraints, Finance Stoch., 6 (2002), pp. 429-447.
    • (2002) Finance Stoch , vol.6 , pp. 429-447
    • FÖLLMER, H.1    SCHIED, A.2
  • 35
    • 0142171471 scopus 로고    scopus 로고
    • Robust preferences and convex measures of risk
    • K. Sandmann and P. Schönbucher, eds, Springer-Verlag, Berlin
    • H. FÖLLMER AND A. SCHIED, Robust preferences and convex measures of risk, in Advances in Finance Stochastics, Essays in Honor of Dieter Sondermann. K. Sandmann and P. Schönbucher, eds., Springer-Verlag, Berlin, 2002, pp. 39-56.
    • (2002) Advances in Finance Stochastics, Essays in Honor of Dieter Sondermann , pp. 39-56
    • FÖLLMER, H.1    SCHIED, A.2
  • 37
    • 38649141305 scopus 로고
    • Martingales and arbitrage in multiperiod securities markets
    • J. M. HARRISON AND D. M. KREPS, Martingales and arbitrage in multiperiod securities markets, J. Economic Theory, 20 (1979), pp. 381-408.
    • (1979) J. Economic Theory , vol.20 , pp. 381-408
    • HARRISON, J.M.1    KREPS, D.M.2
  • 38
    • 41649091143 scopus 로고
    • Martingales and stochastic integrals in the theory of continuous trading
    • J. M. HARRISON AND S. R. PLISKA, Martingales and stochastic integrals in the theory of continuous trading, Stochastic Process. Appl., 11 (1981), pp. 215-260.
    • (1981) Stochastic Process. Appl , vol.11 , pp. 215-260
    • HARRISON, J.M.1    PLISKA, S.R.2
  • 40
    • 0142140757 scopus 로고    scopus 로고
    • Coherent risk measures and good deal bounds
    • S. JASCHKE AND U. KÜCHLER, Coherent risk measures and good deal bounds, Finance Stoch., 5 (2001), pp. 181-200.
    • (2001) Finance Stoch , vol.5 , pp. 181-200
    • JASCHKE, S.1    KÜCHLER, U.2
  • 42
    • 0000705481 scopus 로고
    • Martingales and arbitrage in securities markets with transaction costs
    • E. JOUINI AND H. KALLAL, Martingales and arbitrage in securities markets with transaction costs, J. Economic Theory, 66 (1995), pp. 178-197.
    • (1995) J. Economic Theory , vol.66 , pp. 178-197
    • JOUINI, E.1    KALLAL, H.2
  • 43
    • 24144464232 scopus 로고    scopus 로고
    • Vector-valued coherent risk measures
    • E. JOUINI, M. MEDDEB, AND N. TOUZI, Vector-valued coherent risk measures, Finance Stoch., 8 (2004), pp. 531-552.
    • (2004) Finance Stoch , vol.8 , pp. 531-552
    • JOUINI, E.1    MEDDEB, M.2    TOUZI, N.3
  • 44
    • 55449113797 scopus 로고    scopus 로고
    • YU. M. KABANOV AND D. O. KRAMKOV, No-arbitrage and equivalent martingale measures: An elementary proof of the Harrison-Pliska theorem, Theory Probab. Appl., 39 (1995), pp. 523-527.
    • YU. M. KABANOV AND D. O. KRAMKOV, No-arbitrage and equivalent martingale measures: An elementary proof of the Harrison-Pliska theorem, Theory Probab. Appl., 39 (1995), pp. 523-527.
  • 45
    • 0012741586 scopus 로고    scopus 로고
    • No-arbitrage criteria for financial markets with efficient friction
    • YU. M. KABANOV, M. RÁSONYI, AND C. STRICKER, No-arbitrage criteria for financial markets with efficient friction, Finance Stoch., 6 (2002), pp. 371-382.
    • (2002) Finance Stoch , vol.6 , pp. 371-382
    • YU1    KABANOV, M.2    RÁSONYI, M.3    STRICKER, C.4
  • 46
    • 55449105879 scopus 로고    scopus 로고
    • YU. M. KABANOV AND C. STRICKER, A teacher's note on no-arbitrage criteria, in Seminar of Probability 35, Lecture Notes in Math. 1755, Springer, Berlin, 2001, pp. 149-152.
    • YU. M. KABANOV AND C. STRICKER, A teacher's note on no-arbitrage criteria, in Seminar of Probability 35, Lecture Notes in Math. 1755, Springer, Berlin, 2001, pp. 149-152.
  • 47
    • 0010506674 scopus 로고    scopus 로고
    • YU. M. KABANOV AND C. STRICKER, The Harrison-Pliska arbitrage pricing theorem under transaction costs, J. Math. Econom., 35 (2001), pp. 185-196.
    • YU. M. KABANOV AND C. STRICKER, The Harrison-Pliska arbitrage pricing theorem under transaction costs, J. Math. Econom., 35 (2001), pp. 185-196.
  • 48
    • 22544476245 scopus 로고    scopus 로고
    • An axiomatic approach to capital allocation
    • M. KALKBRENER, An axiomatic approach to capital allocation, Math. Finance, 15 (2005), pp. 425-437.
    • (2005) Math. Finance , vol.15 , pp. 425-437
    • KALKBRENER, M.1
  • 49
    • 0001862354 scopus 로고    scopus 로고
    • On law invariant coherent risk measures
    • S. KUSUOKA, On law invariant coherent risk measures, Adv. Math. Econom., 3 (2001), pp. 83-95.
    • (2001) Adv. Math. Econom , vol.3 , pp. 83-95
    • KUSUOKA, S.1
  • 51
    • 0031287499 scopus 로고    scopus 로고
    • On the possibility of hedging options in the presence of transaction costs
    • S. LEVENTHAL AND A. V. SKOROKHOD, On the possibility of hedging options in the presence of transaction costs, Ann. Appl. Probab., 7 (1997), pp. 410-443.
    • (1997) Ann. Appl. Probab , vol.7 , pp. 410-443
    • LEVENTHAL, S.1    SKOROKHOD, A.V.2
  • 53
    • 0032223485 scopus 로고    scopus 로고
    • On mean-variance hedging problem
    • A. V. MELNIKOV AND M. L. NECHAEV, On mean-variance hedging problem, Theory Probab. Appl., 43 (1999), pp. 588-603.
    • (1999) Theory Probab. Appl , vol.43 , pp. 588-603
    • MELNIKOV, A.V.1    NECHAEV, M.L.2
  • 54
    • 55449113796 scopus 로고    scopus 로고
    • Allocation of economic capital in loan portfolios
    • Measuring Risk in Complex Stochastic Systems, W. Härdle, G. Stahl, eds, Springer-Verlag, Berlin
    • L. OVERBECK, Allocation of economic capital in loan portfolios, in Measuring Risk in Complex Stochastic Systems, W. Härdle, G. Stahl, eds., Lecture Notes Statist., 147, Springer-Verlag, Berlin, 1999, pp. 1-17.
    • (1999) Lecture Notes Statist , vol.147 , pp. 1-17
    • OVERBECK, L.1
  • 55
    • 3242809849 scopus 로고    scopus 로고
    • Dynamic coherent risk measures
    • F. RIEDEL, Dynamic coherent risk measures, Stochastic Process. Appl., 112 (2004), pp. 185-200.
    • (2004) Stochastic Process. Appl , vol.112 , pp. 185-200
    • RIEDEL, F.1
  • 56
    • 0002171244 scopus 로고
    • Equivalent martingale measures and no-arbitrage
    • L. C. G. ROGERS, Equivalent martingale measures and no-arbitrage, Stochastics Stochastics Rep., 51 (1994), pp. 41-49.
    • (1994) Stochastics Stochastics Rep , vol.51 , pp. 41-49
    • ROGERS, L.C.G.1
  • 57
    • 25644454364 scopus 로고    scopus 로고
    • Coherent acceptability measures in multiperiod models
    • B. ROORDA, J. M. SCHUMACHER, AND J. ENGWERDA, Coherent acceptability measures in multiperiod models, Math. Finance, 15 (2005), pp. 589-612.
    • (2005) Math. Finance , vol.15 , pp. 589-612
    • ROORDA, B.1    SCHUMACHER, J.M.2    ENGWERDA, J.3
  • 58
    • 38249008697 scopus 로고
    • A Hilbert space proof of the fundamental theorem of asset pricing in finite discrete time
    • W. SCHACHERMAYER, A Hilbert space proof of the fundamental theorem of asset pricing in finite discrete time, Insurance Math. Econom., 11 (1992), pp. 249-257.
    • (1992) Insurance Math. Econom , vol.11 , pp. 249-257
    • SCHACHERMAYER, W.1
  • 59
    • 1042267699 scopus 로고    scopus 로고
    • The fundamental theorem of asset pricing under proportional transaction costs in finite discrete time
    • W. SCHACHERMAYER, The fundamental theorem of asset pricing under proportional transaction costs in finite discrete time, Math. Finance, 14 (2004), pp. 19-48.
    • (2004) Math. Finance , vol.14 , pp. 19-48
    • SCHACHERMAYER, W.1
  • 60
    • 33748640961 scopus 로고    scopus 로고
    • Risk measures and robust optimization problems
    • A. SCHIED, Risk measures and robust optimization problems, Stoch. Models, 22 (2006), pp. 753-831.
    • (2006) Stoch. Models , vol.22 , pp. 753-831
    • SCHIED, A.1
  • 61
    • 0001769793 scopus 로고
    • Variance-optimal hedging in discrete time
    • M. SCHWEIZER, Variance-optimal hedging in discrete time, Math. Oper. Res., 20 (1995), pp. 1-32.
    • (1995) Math. Oper. Res , vol.20 , pp. 1-32
    • SCHWEIZER, M.1
  • 62
    • 0012743619 scopus 로고    scopus 로고
    • A guided tour through quadratic hedging approaches
    • E. Jouini, M. Musiela, and J. Cvitanic, eds, Cambridge University Press, Cambridge, UK
    • M. SCHWEIZER, A guided tour through quadratic hedging approaches, in Option Pricing, Interest Rates, and Risk Management, E. Jouini, M. Musiela, and J. Cvitanic, eds., Cambridge University Press, Cambridge, UK, 2001, pp. 538-574.
    • (2001) Option Pricing, Interest Rates, and Risk Management , pp. 538-574
    • SCHWEIZER, M.1
  • 63
    • 7444239181 scopus 로고    scopus 로고
    • Dynamic minimization of worst conditional expectation of shortfall
    • J. SEKINE, Dynamic minimization of worst conditional expectation of shortfall, Math. Finance, 14 (2004), pp. 605-618.
    • (2004) Math. Finance , vol.14 , pp. 605-618
    • SEKINE, J.1
  • 65
    • 55449097068 scopus 로고    scopus 로고
    • H. M. SONER, S. E. SHREVE, AND J. CVITANIĆ , There is no nontrivial hedging portfolio for option pricing with transaction costs, Ann. Appl. Probab., 5 (1995), pp. 327-355.
    • H. M. SONER, S. E. SHREVE, AND J. CVITANIĆ , There is no nontrivial hedging portfolio for option pricing with transaction costs, Ann. Appl. Probab., 5 (1995), pp. 327-355.
  • 66
    • 2442528599 scopus 로고    scopus 로고
    • Fundamental theorems of asset pricing for good deal bounds
    • J. STAUM, Fundamental theorems of asset pricing for good deal bounds, Math. Finance, 14 (2004), pp. 141-161.
    • (2004) Math. Finance , vol.14 , pp. 141-161
    • STAUM, J.1
  • 67
    • 0000868317 scopus 로고
    • Arbitrage et lois de martingale
    • C. STRICKER, Arbitrage et lois de martingale, Ann. Inst. H. Poincaré, 26 (1990), pp. 451-460.
    • (1990) Ann. Inst. H. Poincaré , vol.26 , pp. 451-460
    • STRICKER, C.1
  • 68
    • 33747882485 scopus 로고    scopus 로고
    • On the (non)-acceptance of innovations
    • G. Szegö, ed, John Wiley, New York
    • G. SZEGÖ, On the (non)-acceptance of innovations, in Risk Measures for the 21st Century, G. Szegö, ed., John Wiley, New York, 2004, pp. 1-9.
    • (2004) Risk Measures for the 21st Century , pp. 1-9
    • SZEGÖ, G.1
  • 69
    • 0036071510 scopus 로고    scopus 로고
    • Expected shortfall and beyond
    • D. TASCHE, Expected shortfall and beyond, J. Banking and Finance, 26 (2002), pp. 1519-1533.
    • (2002) J. Banking and Finance , vol.26 , pp. 1519-1533
    • TASCHE, D.1
  • 70
    • 20444391931 scopus 로고    scopus 로고
    • A new look at the fundamental theorem of asset pricing
    • J. A. YAN, A new look at the fundamental theorem of asset pricing, J. Korean Math. Society, 35 (1998), pp. 659-673.
    • (1998) J. Korean Math. Society , vol.35 , pp. 659-673
    • YAN, J.A.1


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