Financial mathematics and risk measures

 
 
  Cost-effciency in multivariate Lévy models, Coauthor: V. Wolf, Preprint (November 2014) (pdf), Submitted to: Dependence and Risk Modelling.
  On the method of optimal portfolio choice by cost-efficiency, Coauthor: V. Wolf, Preprint (2014). (pdf)
  How robust is the Value-at-Risk of credit risk portfolios? Coauthors: C. Bernard, S. Vanduffel and J. Yao, Preprint (Septermber 2014). (pdf)
  Reducing model risk via positive and negative dependence assumptions, Coauthors: V. Bignozzi and G. Puccetti, to appeare in: Insurance: Mathematics and Economics (2014), (pdf).
  Construction of cost-efficient self-quanto calls and puts in exponential Lévy models, Coauthors: E.A.v. Hammerstein, E. Lütkebohmert and V. Wolf, Proceedings AFMATH Conference 2014. (pdf)
  An Academic Response to Basel 3.5, Coauthors: P. Embrechts, G. Puccetti, R. Wang and A. Beleraj, Risks 2 (2014), 25-48. (doi:10.3390/risks2010025)
  Value-at-Risk bounds with variance constraints, Coauthors: C. Bernard and S. Vanduffel, Preprint (October 2013). (pdf)
  Optimal claims with fixed payoff structure, Coauthors: C. Bernard and S. Vanduffel, Preprint (2013; version: May 2014), (pdf), to appear in: Journal Appl.Probab.
  Optimal payoffs under state-dependent constraints, Coauthors: C. Bernard, F. Moraux and S. Vanduffel, Preprint (June 2014) (pdf), to appear in: Quantiative Finance.
  Optimality of payoffs in Lévy models, Coauthors: E. A. v. Hammerstein, E. Lütkebohmert and V. Wolf, Preprint (May 2013), (pdf) International Journal of Theoretical and Applied Finance 17 (6), 1450041 (2014). (doi: 10.1142/S0219024914500411)
  Portfolio optimization for heavy-tail assets: Extreme Risk Index vs. Markowitz, Coauthors: G. Mainik and G. Mitov, Preprint (October 2013). (pdf)
  Optimal risk allocation for convex risk functionals in general domains, Coauthor: S. Kiesel, Preprint (2013) (pdf), to appear in: Statistics & Risk Modelling (2014).
  On the optimal reinsurance problem, Coauthor: S. Kiesel, Preprint (2013) (pdf), Applicationes Mathematicae 40 (2013), 259-280, doi:10.4064/am40-3-1
  Model uncertainty and VaR aggregation, Coauthors: P. Embrechts and G. Puccetti, Preprint (2012), Journal Banking and Finance 37 (8) (2013), 2750–2764. (pdf)
  Computation of sharp bounds on the expected value of a supermodular function of risks with given marginals, Coauthor: G. Puccetti, Preprint (2012; version: March 2013) (pdf), Communications in Statistics-Simulation and Computation 44 (2015), 705-718. (DOI:10.1080/03610918.2013.791368).
  Asymptotic equivalence of conservative VaR- and ES-based capital charges, Coauthors: G. Puccetti, Preprint (2012; version: July 2013), Journal of Risk 16 (2014) ,2-22. (pdf)
  Sharp bounds for sums of dependent risks, Coauthor: G. Puccetti, Preprint (2011), J. Appl. Probab. 50 (1) (2013), 42-53. (pdf)
  Risk bounds, worst case dependence and optimal claims and contracts, Prepring (2011), Proceedings of the AFMATH Conference, Brussels (2012), 23-36. (pdf)
  Bounds for joint portfolios of dependent risks, Coauthor: G. Puccetti, Statistics & Risk Modeling 29 (2) (2012), 107-132. (pdf)
  Computation of sharp bounds on the distribution of a function of dependent risks, Coauthor: G. Puccetti, J. Comp. Appl. Math. 236 (7) (2012), 1833-1840. (pdf)
  Ordering of multivariate probability distributions with respect to extreme portfolio losses, Coauthor: G. Mainik, Statistics & Risk Modeling 29 (2012), 73-105. (pdf)
Oldenbourg Verlag.
  On optimal allocation of risk vectors, Coauthor: S. Kiesel, Preprint (April 2010) (pdf), Insurance: Mathematics and Economics 47 (2010), 167-175. (DOI 10.1016/j.insmatheco.2010.05.005)
  Worst case portfolio vectors and diversification effects, Preprint (March 2010; 1st version: September 2009), Finance and Stochastics 16 (2012), 155-175. (pdf)
  On optimal portfolio diversification with respect to extreme risks, Coauthor: G. Mainik, Finance and Stochastics 14 (2010), 593-623, DOI: 10.1007/s00780-010-0122-z. (pdf
The original publication is available www.springerlink.com.
  On the distributional transform, Sklar's Theorem, and the empirical copula process, Journal of Statistical Planning and Inference 139 (2009), 3921-3927. (pdf)
  Characterization of optimal risk allocations for convex risk functionals, Coauthor: S. Kiesel, Statistics and Decisions 26 (2008), 303-319. (pdf
  Comparison results for path-dependent options, Coauthor: J. Bergenthum, Statistics & Decisions 26 (2008), 53-72. (pdf
Oldenbourg Wissenschaftsverlag, München (http://statistics-international.de
  On convex risk measures on Lp-spaces, Coauthor: M. Kaina, Mathematical Methods in Operations Research (MMDR) 69 (2009), 475-495, DOI 10.1007/s00186-008-0248-3. (pdf)
  On comonotonicity of Pareto optimal risk sharing, Coauthor: M. Ludkovski, Statistics and Probability Letters 78 (2008), 1181-1188. (pdf)
  Convex ordering criteria for Lévy Processes, Coauthor: J. Bergenthum, Advances Data Analysis Classification 1 (2007), 143-173. (pdf)
  Risk measures for portfolio vectors and allocation of risks, Preprint (2005). In: Risk Assessment: Decisions in Banking and Finance, Eds: G. Bol, S. T. Rachev, R. Würth, Springer/Physica-Verlag (2009), 153-164.
  Law invariant convex risk measures for portfolio vectors, Statistics & Decisions 24 (2006), 97-108. (pdf)
Oldenbourg Wissenschaftsverlag, München (http://statistics-international.de
  Comparison of semimartingales and Lévy processes, Coauthor: J. Bergenthum, Annals of Probability 35 (1) (2007), 228–254. (pdf)
  On the optimal risk allocation problem, Coauthor: C. Burgert, Statistics & Decisions 24 (2006), 153-171. (pdf)
Oldenbourg Wissenschaftsverlag, München (http://statistics-international.de
  Consistent risk measures for portfolio vectors, Coauthor: C. Burgert, Insurance: Mathematics and Economics 38 (2006), 289-297. (pdf)
  Optimal consumption strategies under model uncertainty, Coauthor: C. Burgert, Statistics & Decisions 23 (2005), 1-14. (pdf)
Oldenbourg Wissenschaftsverlag, München (http://statistics-international.de
  Allocation of risks and equilibrium in markets with finitely many traders, Coauthor: C. Burgert, Preprint (2005). Insurance: Mathematics and Economics, 42 (2008), 177-188. (pdf)
  Comparison of option prices in semimartingale models, Coauthor: J. Bergenthum, Finance and Stochastics 10 (2006), 222-249. (pdf)
  Stochastic ordering of risks, influence of dependence and a.s. constructions, in: Advances on Models, Characterizations and Applications. Eds: N. Balakrishnan, I. G. Bairamov, O. L. Gebizlioglu, Chapman & Hall/CRC Press (2005), 19-56. (pdf)  
  Comparison of multivariate risks and positive dependence, Journal of Applied Probability 41 (2004), 391-406. (pdf)  
  On upper and lower prices in discrete time models, Proc. Steklov Math. Inst. 237 (2002), 134-139. (ps)
  Minimal distance martingale measures and optimal portfolios consistent with observed market prices, Coauthor: T. Goll, in: Stoch. Processes and Related Topics (2002), 141-154, Taylor & Francis, Stochastics Monographs. Eds: R. Buckdahn, H.J. Engelbert, and M. Yor. (ps)  
  Minimax and minimal distance martingale measures and their relationship to portfolio optimization, Coauthor: T. Goll, Finance and Stochastics 5 (2001), 557-581 (ps)  
  Models for option pricing, Coauthor: S. T. Rachev, Theory Probab. Applications 39 (1994), 150–199. (pdf)  
  On the Cox, Ross and Rubinstein model for option prices, Coauthor: S. T. Rachev, in: Proceeding of Conference in Financial Mathematics, Mexico (1994), 25 pg.
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