Coherent risk measures and the limit passage
Teoriâ veroâtnostej i ee primeneniâ, Tome 54 (2009) no. 3, pp. 466-491 Cet article a éte moissonné depuis la source Math-Net.Ru

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L. A. Konovalov. Coherent risk measures and the limit passage. Teoriâ veroâtnostej i ee primeneniâ, Tome 54 (2009) no. 3, pp. 466-491. http://geodesic.mathdoc.fr/item/TVP_2009_54_3_a2/

[1] Bogachev V. I., Osnovy teorii mery, t. 1, NITs “Regulyarnaya i khaoticheskaya dinamika”, M.–Izhevsk, 2003, 583 pp.

[2] Robertson A. P., Robertson V. Dzh., Topologicheskie vektornye prostranstva, Mir, M., 1967, 257 pp. | MR | Zbl

[3] Shiryaev A. N., Veroyatnost, MTsNMO, M., 2004, 927 pp.

[4] Artzner P., Delbaen F., Eber J.-M., Heath D., “Thinking coherently”, Risk, 10:11 (1997), 68–71

[5] Artzner P., Delbaen F., Eber J.-M., Heath D., “Coherent measures of risk”, Math. Finance, 9:3 (1999), 203–228 | DOI | MR | Zbl

[6] Barrieu P., El Karoui N., “Pricing, hedging, and optimality designing derivatives via minimization of risk measures”, Indifference Pricing: Theory and Applications, ed. R. Carmona, Princeton Univ. Press, Princeton, 2008, 77–146

[7] Carlier G., Dana R.-A., “Core of convex distortions of a probability”, J. Econom. Theory, 113:2 (2003), 199–222 | DOI | MR | Zbl

[8] Cherny A. S., Madan D. B., Coherent measurement of factor risks, arXiv:math/0605062

[9] Cherny A. S., Equilibrium with coherent risk, arXiv:math/0605051

[10] Cherny A. S., Pricing with coherent risk, arXiv:math/0605049

[11] Cherny A. S., “Weighted V@R and its properties”, Finance Stoch., 10:3 (2006), 367–393 | DOI | MR | Zbl

[12] Cvitanić J., Karatzas I., “On dynamic measures of risk”, Finance Stoch., 3:4 (1999), 451–482 | DOI | MR | Zbl

[13] Delbaen F., “Coherent risk measures on general probability spaces”, Advances in Finance and Stochastics, eds. K. Sandmann and P. Schönbucher, Springer, Berlin, 2002, 1–37 | MR | Zbl

[14] Fölmer H., Leukert P., “Efficient hedging: cost versus shortfall risk”, Finance Stoch., 4:2 (2000), 117–146 | DOI | MR

[15] Föllmer H., Schied A., Stochastic Finance, de Gruyter, Berlin, 2004, 459 pp. | MR | Zbl

[16] Jaschke S., Küchler U., “Coherent risk measures and good-deal bounds”, Finance Stoch., 5:2 (2001), 181–200 | DOI | MR | Zbl

[17] Jouini E., Schachermayer W., Touzi N., “Law invariant risk measures have the Fatou property”, Advances in Mathematical Economics, 9, Springer, Tokyo, 2006, 49–71 | MR

[18] Kusuoka S., “On law invariant coherent risk measures”, Advances in Mathematical Economics, 3, Springer, Tokyo, 2001, 83–95 | MR

[19] Larsen K., Pirvu T. A., Shreve S. E., Tütüncü R., “Satisfying convex risk limits by trading”, Finance Stoch., 9:2 (2004), 177–195 | DOI | MR

[20] Leitner J., “Pricing and hedging with globally and instantaneously vanishing risk”, Statist. Decisions, 25:4 (2007), 311–332 | DOI | MR | Zbl

[21] Markowitz H. M., Portfolio Selection, Wiley/Chapman Hall, New York–London, 1959, 334 pp. | MR

[22] Neveu J., Discrete-Parameter Martingales, North-Holland, Amsterdam, 1975, 236 pp. | MR | Zbl

[23] Roorda B., Schumacher J. M., Engwerda J., “Coherent acceptability measures in multiperiod models”, Math. Finance, 15:4 (2005), 589–612 | DOI | MR | Zbl

[24] Schied A., “Risk measures and robust optimization problems”, Stoch. Models, 22:4 (2006), 753–831 | DOI | MR | Zbl

[25] Sekine J., “Dynamic minimization of worst conditional expectation of shortfall”, Math. Finance, 14:4 (2004), 605–618 | DOI | MR | Zbl

[26] Szegő G., “On the (non)acceptance of innovations”, Risk Measures for the 21st Century G. Szegő, Wiley, New York, 2004, 1–9

[27] Xu M., “Risk measure pricing and hedging in incomplete markets”, Ann. Finance, 2 (2006), 51–71 | DOI