Financial mathematics and risk measures

 
 
  Bounds for joint portfolios of dependent risks, Coauthor: G. Puccetti, Preprint (2011). (pdf)
  Computation of sharp bounds on the distribution of a function of dependent risks, Coauthor: G. Puccetti, Preprint (2011). (pdf)
  Ordering of multivariate probability distributions with respect to extreme portfolio losses, Coauthor: G. Mainik, Preprint (2010). (pdf)
  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), to appear in: Finance and Stochastics. (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.
  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 the distributional transform, Sklar's Theorem, and the empirical copula process, Journal of Statistical Planning and Inference 139 (2009), 3921-3927.
  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)  
  back last update  April 26, 2010