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Optimal portfolios with a positive lower bound on final wealth

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  • Ralf Korn

Abstract

We consider the determination of optimal portfolios under a lower bound on the final wealth. Possible applications range from capital guarantee strategies over life insurance investment where part of the benefit is a guaranteed return on capital to continuous-time mean-variance problems with a strictly positive lower bound. Our solution method consists of transforming the original problem into a portfolio problem without a positive lower bound but a transformed utility function and a modified initial wealth.

Suggested Citation

  • Ralf Korn, 2005. "Optimal portfolios with a positive lower bound on final wealth," Quantitative Finance, Taylor & Francis Journals, vol. 5(3), pages 315-321.
    • Handle: RePEc:taf:quantf:v:5:y:2005:i:3:p:315-321
    DOI: 10.1080/14697680500167927
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    Citations

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    Cited by:

    1. Escobar-Anel, Marcos & Havrylenko, Yevhen & Kschonnek, Michel & Zagst, Rudi, 2022. "Decrease of capital guarantees in life insurance products: Can reinsurance stop it?," Insurance: Mathematics and Economics, Elsevier, vol. 105(C), pages 14-40.
    2. Benjamin Avanzi & Hayden Lau & Mogens Steffensen, 2022. "Optimal reinsurance design under solvency constraints," Papers 2203.16108, arXiv.org, revised Jun 2023.
    3. Marcos Escobar-Anel & Michel Kschonnek & Rudi Zagst, 2022. "Portfolio optimization: not necessarily concave utility and constraints on wealth and allocation," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 95(1), pages 101-140, February.
    4. Jacobovic, Royi & Kella, Offer, 2020. "Minimizing a stochastic convex function subject to stochastic constraints and some applications," Stochastic Processes and their Applications, Elsevier, vol. 130(11), pages 7004-7018.
    5. Marcos Escobar-Anel, 2022. "A dynamic programming approach to path-dependent constrained portfolios," Annals of Operations Research, Springer, vol. 315(1), pages 141-157, August.
    6. M. Escobar & D. Neykova & R. Zagst, 2017. "HARA utility maximization in a Markov-switching bond–stock market," Quantitative Finance, Taylor & Francis Journals, vol. 17(11), pages 1715-1733, November.
    7. Yuan, Haili & Hu, Yijun, 2009. "Optimal consumption and portfolio policies with the consumption habit constraints and the terminal wealth downside constraints," Insurance: Mathematics and Economics, Elsevier, vol. 45(3), pages 405-409, December.
    8. Kraft, Holger & Steffensen, Mogens, 2012. "A dynamic programming approach to constrained portfolios," CFS Working Paper Series 2012/07, Center for Financial Studies (CFS).
    9. Hambardzumyan, Hayk & Korn, Ralf, 2019. "Dynamic hybrid products with guarantees—An optimal portfolio framework," Insurance: Mathematics and Economics, Elsevier, vol. 84(C), pages 54-66.
    10. Frank Seifried, 2010. "Optimal investment with deferred capital gains taxes," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 71(1), pages 181-199, February.
    11. Kraft, Holger & Steffensen, Mogens, 2013. "A dynamic programming approach to constrained portfolios," European Journal of Operational Research, Elsevier, vol. 229(2), pages 453-461.
    12. Valle, C.A. & Meade, N. & Beasley, J.E., 2014. "Absolute return portfolios," Omega, Elsevier, vol. 45(C), pages 20-41.

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