Value-preserving portfolio strategies in the minimal market model

Ralf Korn & Zhongxi Li

IMA Journal of Management Mathematics2026https://doi.org/10.1093/imaman/dpag009article
AJG 2
Weight
0.50

What the paper says

A value-preserving portfolio strategy is based on the idea that every generation should hand over a portfolio of the same value to the next generation as it received from the foregoing one. Hence, only economic gains can be consumed. Given a natural definition of the portfolio value, the underlying theoretical concept has various features in common with the benchmark approach of Eckhard Platen. In this contribution, we develop a generalization of value preserving portfolio strategies that allows their construction in the framework of the so-called minimal market model of the benchmark approach. This framework is particularly suited for the value-preserving concept as we consider a long-term investment horizon for which the popular constant market coefficient settings based on geometric Brownian motions or jump diffusions are not flexible enough. Further, we demonstrate the application of the value-preserving concept using real market data. In particular, the use of the minimal market model framework allows one to overcome estimation problems for stock returns.

Open paper page →

Cite this paper

https://doi.org/https://doi.org/10.1093/imaman/dpag009

Or copy a formatted citation

@article{ralf2026,
  title        = {{Value-preserving portfolio strategies in the minimal market model}},
  author       = {Ralf Korn & Zhongxi Li},
  journal      = {IMA Journal of Management Mathematics},
  year         = {2026},
  doi          = {https://doi.org/https://doi.org/10.1093/imaman/dpag009},
}

Paste directly into BibTeX, Zotero, or your reference manager.

Flag this paper

Value-preserving portfolio strategies in the minimal market model

Flags are reviewed by the Arbiter methodology team within 5 business days.


Evidence weight

0.50

Balanced mode · F 0.40 / M 0.15 / V 0.05 / R 0.40

F · citation impact0.50 × 0.4 = 0.20
M · momentum0.50 × 0.15 = 0.07
V · venue signal0.50 × 0.05 = 0.03
R · text relevance †0.50 × 0.4 = 0.20

† Text relevance is estimated at 0.50 on the detail page — for your query’s actual relevance score, open this paper from a search result.