Worst-Case Portfolio Optimization and Stochastic Control References

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Tech Story Tags: mathematics | worst-case-portfolio | stochastic-control | worst-case-approach | portfolio-optimization | indifference-strategies | incomplete-markets | heston-model

TLDRExplore foundational research in worst-case portfolio optimization, stochastic interest rate risk, and robust preferences. Access key references for BSDEs, Heston model analysis, and financial market control.via the TL;DR App

Abstract and 1. Introduction

2. Financial Market Model and Worst-Case Optimization Problem

3. Solution to the Post-Crash Problem

4. Solution to the Pre-Crash Problem

5. A BSDE Characterization of Indifferences Strategies

6. The Markovian Case

7. Numerical Experiments

Acknowledgments and References

Appendix A. Proofs from Section 3

Appendix B. Proofs of BASDE Results from Section 5

Appendix C. Proofs of (CIR) Results from Section 6

Acknowledgements

We wish to thank the participants of the Stochastic Models and Control Workshop 2017 in Trier and from the London Mathematical Finance Seminar Series for useful comments and discussions.

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Authors:

(1) Sascha Desmettre;

(2) Sebastian Merkel;

(3) Annalena Mickel;

(4) Alexander Steinicke.


This paper is available on arxiv under CC BY 4.0 DEED license.


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