Insurance companies and other institutional investors maintain portfolios with very large capital volumes. The security of investments is preeminent, but on the other hand one wishes to achieve a reasonable return. A direct generalization of the classical Markowitz approach, the Dynamic Mean-Variance-Analysis (DEVA, Frauendorfer 1995), models the tradeoff between risk and return but allows a much more detailled representation of expected market developments over several periods when making the current decision.

Goals of the project are the theoretical analysis of the resulting quadratic multistage stochastic programs and the development and implementation of highly efficient solution algorithms.

Publications

2001
Tree-Sparse Convex Programs ZIB-Report 01-08 (Appeared in: Mathematical Methods of Operations Research 56 (2002) 347-376) Marc Steinbach PDF
BibTeX
URN
Dynamic Portfolio Optimization
2000
Hierarchical Sparsity in Multistage Convex Stochastic Programs ZIB-Report 00-15 (Appeared in: Stochastic Optimization. Algorithms and Applications, S. P. Uryasev, P. M. Pardalos, Applied Optimization, Vol. 54, Kluwer Academic Publishers, 2001, pp. 385-410) Marc Steinbach PDF
BibTeX
URN
Dynamic Portfolio Optimization
1999
Markowitz Revisited: Single-Period and Multi-Period Mean-Variance Models ZIB-Report SC-99-30 (Appeared in: SIAM Review 43(1), 31-85 (2001)) Marc Steinbach PDF
BibTeX
URN
Dynamic Portfolio Optimization
1998
Recursive Direct Algorithms for Multistage Stochastic Programs in Financial Engineering ZIB-Report SC-98-23 (Appeared in: P. Kall, H.J. Lüthi (eds.). Operations Research 1998. Sel. Papers of the International Conference on Operations Research, Zürich, 1998, pp. 241-250, Springer, 1999) Marc Steinbach PDF
BibTeX
URN
Dynamic Portfolio Optimization
Recursive Direct Optimization and Successive Refinement in Multistage Stochastic Programs ZIB-Report SC-98-27 Marc Steinbach PDF
BibTeX
URN
Dynamic Portfolio Optimization