Set Optimization and Applications in Finance - The State of the Art. From Set-Relations to Set-Valued Risk Measures.
(co-edited with A.H. Hamel, F. Heyde, A. Löhne, C. Schrage).
Springer Proceedings in Mathematics & Statistics, Vol. 151, Springer, 2015.
331 pages. ISBN: 978-3-662-48668-9
Submitted papers
Z. Feinstein, B. Rudloff:
A Supermartingale Relation for Multivariate Risk Measures.[preprint] at arXiv.
Submitted for publication.
Z. Feinstein, B. Rudloff:
A recursive algorithm for multivariate risk measures and a set-valued Bellman's principle.[preprint] at arXiv.
Submitted for publication.
B. Rudloff, F. Ulus, R. Vanderbei:
A parametric simplex algorithm for linear vector optimization problems.[preprint] at arXiv.
Submitted for publication.
C. Ararat, A.H. Hamel, B. Rudloff:
Set-valued shortfall and divergence risk measures.[preprint] at arXiv.
Submitted for publication.
Peer-reviewed publications
Z. Feinstein, B. Rudloff (2015):
Multi-portfolio time consistency for set-valued convex and coherent risk measures.[pdf] at arXiv. Finance and Stochastics 19 (1), 67-107.
A.H. Hamel, F. Heyde, A. Löhne, B. Rudloff, C. Schrage (2015):
Set optimization - a rather short introduction. (76 pages)
[pdf] at arXiv.
In: A.H. Hamel, F. Heyde, A. Löhne, B. Rudloff, C. Schrage (eds.):
Set Optimization and Applications in Finance - The State of the Art,
Springer PROMS series, Vol. 151, 65-141. ISBN: 978-3-662-48668-9
Z. Feinstein, B. Rudloff (2015):
A comparison of techniques for dynamic multivariate risk measures.[pdf] at arXiv.
In: A.H. Hamel, F. Heyde, A. Löhne, B. Rudloff, C. Schrage (eds.):
Set Optimization and Applications in Finance - The State of the Art,
Springer PROMS series, Vol. 151, 3-41. ISBN: 978-3-662-48668-9
A. Löhne, B. Rudloff (2014):
An algorithm for calculating the set of superhedging portfolios in markets with transaction costs.[pdf] at arXiv. International Journal of Theoretical and Applied Finance 17 (2) 1450012 (33 pages).
A MatLab as well as a C implementation of Benson's algorithm (by A. Löhne, B. Weissing) used to solve the linear vector optimization problems arising in the above paper can be downloaded here
[Benson]
A.H. Hamel, A. Löhne, B. Rudloff (2014):
Benson type algorithms for linear vector optimization and applications. [pdf] at arXiv. Journal of Global Optimization 59 (4), 811-836.
A MatLab as well as a C implementation of Benson's algorithm (by A. Löhne, B. Weissing):
[Benson]
Z. Feinstein, B. Rudloff (2013):
Time consistency of dynamic risk measures in markets with transaction costs.[pdf] at arXiv. Quantitative Finance 13 (9), 1473-1489.
B. Rudloff (2005):
A Generalized Neyman-Pearson Lemma for Hedge Problems in Incomplete Markets.
Proceedings of the Workshop Stochastische Analysis, 241 - 250. ISSN 1612-5665.
B. Rudloff (2005): Hedging with Convex Risk Measures.
In: N. Kolev, P. Morettin (eds.): Proceedings of the
Second Brazilian Conference on Statistical Modelling in
Insurance and Finance, 192 - 197, ISBN 85-88697-07-6.
Valuation of Default Correlations and Application to
Pricing synthetic CDO's.
Master Thesis (Diplomarbeit), Martin-Luther-University Halle-Wittenberg, 2002.
[in german: Ein Modell zur Berechnung von Ausfallkorrelationen
und dessen Anwendung auf die Bewertung synthetischer CDOs
[pdf]]
Advisor:
Prof. W. Grecksch.
Conferences & Seminar Talks
2015
upcoming talk: January 2016, JMM Seattle, January 09, 2016.
upcoming talk: November 2015, ISOR colloquium at University of Vienna, November 30, 2015.
October 2015, Seminar at Vienna University of Economics and Business on "vector optimization", October 21, 2015.
October 2015, Seminar at Vienna University of Economics and Business on "systemic risk", October 07, 2015.
July 2015, Seminar at Politecnico di Milano, Italy.
June 2015, Research talk and open problem session on systemic risk at Mathematics Research Community, Snowbird, Utah, June 14-20, 2015
June 2015, Research talk and open problem session on optimal investment under transaction costs at Mathematics Research Community, Snowbird, Utah, June 14-20, 2015
May 2013, Faculty Seminar, Princeton University, "A generalized Bellman principle for set-valued functions with applications in finance".
March 2013, Financial Mathematics Seminar, University of Pittsburgh, "Superhedging and risk measure under transaction costs".
March 2013, Probability/Mathematical Finance Seminar, Carnegie Mellon University, "Time consistency of dynamic risk measures in markets with transaction costs".
January 2013, FIAS, Frankfurt, "Dynamic risk measures and price bounds in markets with transaction costs".
October 2011, Invited talk at
Humboldt - Princeton Conference: Risk Patterns in Economics, Statistics, Finance and Medicine, Berlin.
September 2011, Invited talk at Princeton-Cambridge Conference, Princeton.
July 2011, Research Seminar, Humboldt University, Berlin, July 12, 2011.
March 2011, Invited talk at 35th
SIAM Southeastern Atlantic Section Conference, March 26-27, 2011.
2010
November 2010, Invited talk at
INFORMS, Austin, November 7-10, 2010, "Risk measures in a multi-asset model with transaction costs".
October 2010, Statistics and Probability Seminar, Boston University, October 19, 2010.
October 2010, Invited talk at Oxford-Princeton Workshop, Oxford, October 8-9, 2010.
July 2010,
Analysis, Stochastics, and Applications, Wien, July 12-16, 2010, "Risk measures for multivariate random variables in markets with transaction costs".
May 2010, Invited talk at
AMS Eastern Sectional Meeting, Newark, May 22-23, 2010, "Risk measures for portfolio vectors
in markets with random solvency cones".
April 2010, Financial Mathematics Seminar, University of Michigan, "Hedging and Risk Measurement under Proportional Transaction Costs".
March 2010, Invited talk at
Workshop on Computational Methods in Finance, Fields Institute, Toronto, March 22-24, 2010, "Hedging and Risk Measurement under Proportional Transaction Costs".
February 2010, Mathematical Finance Seminar, Technical University Munich.
April 2009, Seminar of Actuarial Science and Mathematical Finance, University of Toronto, "Optimal Investment Strategies Under Bounded Risk".
March 2009, Mathematical Finance Seminar, University of Wuerzburg, "Duality Methods in Financial Mathematics".
January 2009, Joint Mathematics Meeting, co-organizer of AMS Special Session on Financial Mathematics, Washington, DC, and talk "Utility Maximization under Risk Constraints".