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Research Papers

Time consistency of dynamic risk measures in markets with transaction costs

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Pages 1473-1489 | Received 19 Oct 2012, Accepted 27 Feb 2013, Published online: 26 Jun 2013

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Zachary Feinstein & Birgit Rudloff. (2018) A supermartingale relation for multivariate risk measures. Quantitative Finance 18:12, pages 1971-1990.
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Yanhong Chen & Zachary Feinstein. (2022) Set-valued dynamic risk measures for processes and for vectors. Finance and Stochastics 26:3, pages 505-533.
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Zachary Feinstein & Birgit Rudloff. (2022) Scalar Multivariate Risk Measures with a Single Eligible Asset. Mathematics of Operations Research 47:2, pages 899-922.
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Linhai Wei & Yijun Hu. (2022) Capital allocation with multivariate convex risk measures. Journal of Industrial and Management Optimization 0:0, pages 0-0.
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Andreas H. Hamel & Frank Heyde. (2021) Set-Valued T-Translative Functions and Their Applications in Finance. Mathematics 9:18, pages 2270.
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EMMANUEL LEPINETTE & DUC THINH VU. (2021) COHERENT RISK MEASURE ON L0: NA CONDITION, PRICING AND DUAL REPRESENTATION. International Journal of Theoretical and Applied Finance 24:06n07.
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Jin MaTing-Kam Leonard Wong & Jianfeng Zhang. (2021) Time-Consistent Conditional Expectation Under Probability Distortion. Mathematics of Operations Research 46:3, pages 1149-1180.
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Zachary Feinstein & Birgit Rudloff. (2021) Time consistency for scalar multivariate risk measures. Statistics & Risk Modeling 38:3-4, pages 71-90.
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Alessandro Doldi & Marco Frittelli. (2021) Real-Valued Systemic Risk Measures. Mathematics 9:9, pages 1016.
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Alessandro Doldi & Marco Frittelli. (2021) Conditional Systemic Risk Measures. SIAM Journal on Financial Mathematics 12:4, pages 1459-1507.
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Çağın Ararat & Zachary Feinstein. (2020) Set-valued risk measures as backward stochastic difference inclusions and equations. Finance and Stochastics 25:1, pages 43-76.
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Cosimo Munari. (2020) Multi-utility representations of incomplete preferences induced by set-valued risk measures. Finance and Stochastics 25:1, pages 77-99.
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YANHONG CHEN & YIJUN HU. (2020) SET-VALUED DYNAMIC RISK MEASURES FOR BOUNDED DISCRETE-TIME PROCESSES. International Journal of Theoretical and Applied Finance 23:03, pages 2050017.
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FRANCESCA CENTRONE & EMANUELA ROSAZZA GIANIN. (2020) CAPITAL ALLOCATION FOR SET-VALUED RISK MEASURES. International Journal of Theoretical and Applied Finance 23:01, pages 2050009.
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YANHONG CHEN & YIJUN HU. (2019) SET-VALUED LAW INVARIANT COHERENT AND CONVEX RISK MEASURES. International Journal of Theoretical and Applied Finance 22:03, pages 1950004.
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Fei Sun & Yijun Hu. (2018) SET-VALUED CASH SUB-ADDITIVE RISK MEASURES. Probability in the Engineering and Informational Sciences 33:2, pages 241-257.
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Yanhong Chen & Yijun Hu. (2017) Time consistency for set-valued dynamic risk measures for bounded discrete-time processes. Mathematics and Financial Economics 12:3, pages 305-333.
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Chandrasekhar Karnam, Jin Ma & Jianfeng Zhang. (2017) Dynamic approaches for some time-inconsistent optimization problems. The Annals of Applied Probability 27:6.
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Tomasz R. Bielecki, Igor Cialenco & Marcin Pitera. (2017) A survey of time consistency of dynamic risk measures and dynamic performance measures in discrete time: LM-measure perspective. Probability, Uncertainty and Quantitative Risk 2:1.
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ÇAĞIN ARARAT, ANDREAS H. HAMEL & BIRGIT RUDLOFF. (2017) SET-VALUED SHORTFALL AND DIVERGENCE RISK MEASURES. International Journal of Theoretical and Applied Finance 20:05, pages 1750026.
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Zachary Feinstein & Birgit Rudloff. (2016) A recursive algorithm for multivariate risk measures and a set-valued Bellman’s principle. Journal of Global Optimization 68:1, pages 47-69.
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Zachary Feinstein & Birgit Rudloff. (2014) Multi-portfolio time consistency for set-valued convex and coherent risk measures. Finance and Stochastics 19:1, pages 67-107.
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Zachary Feinstein & Birgit Rudloff. 2015. Set Optimization and Applications - The State of the Art. Set Optimization and Applications - The State of the Art 3 41 .
ANDREAS LÖHNE & BIRGIT RUDLOFF. (2014) AN ALGORITHM FOR CALCULATING THE SET OF SUPERHEDGING PORTFOLIOS IN MARKETS WITH TRANSACTION COSTS. International Journal of Theoretical and Applied Finance 17:02, pages 1450012.
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Yuri Kabanov & Emmanuel Lépinette. (2013) Essential supremum with respect to a random partial order. Journal of Mathematical Economics 49:6, pages 478-487.
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Francesca Centrone & Emanuela Rosazza Gianin. (2019) Capital Allocation for Set-Valued Risk Measures. SSRN Electronic Journal.
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