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Utility-based acceptability indices

Author

Listed:
  • Marcin Pitera
  • Mikl'os R'asonyi

Abstract

In this short paper we introduce a new class of performance measures based on certainty equivalents defined via scaled utility functions. We analyse their properties, show that the corresponding portfolio optimization problem is well-posed under generic conditions, and analyse the link between portfolio dynamics, benchmark process, and utility function choice in the long-run setting.

Suggested Citation

  • Marcin Pitera & Mikl'os R'asonyi, 2023. "Utility-based acceptability indices," Papers 2310.02014, arXiv.org.
    • Handle: RePEc:arx:papers:2310.02014
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    File URL: http://arxiv.org/pdf/2310.02014
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    References listed on IDEAS

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    1. Rolando Cavazos-Cadena, 2010. "Optimality equations and inequalities in a class of risk-sensitive average cost Markov decision chains," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 71(1), pages 47-84, February.
    2. Tomasz R. Bielecki & Igor Cialenco & Ismail Iyigunler & Rodrigo Rodriguez, 2013. "Dynamic Conic Finance: Pricing And Hedging In Market Models With Transaction Costs Via Dynamic Coherent Acceptability Indices," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 16(01), pages 1-36.
    3. Righi, Marcelo Brutti, 2024. "Star-shaped acceptability indexes," Insurance: Mathematics and Economics, Elsevier, vol. 117(C), pages 170-181.
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    5. Marcin Pitera & Thorsten Schmidt, 2020. "Estimating and backtesting risk under heavy tails," Papers 2010.09937, arXiv.org, revised Jan 2022.
    6. Pitera, Marcin & Schmidt, Thorsten, 2022. "Estimating and backtesting risk under heavy tails," Insurance: Mathematics and Economics, Elsevier, vol. 104(C), pages 1-14.
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    12. Marcin Pitera & Thorsten Schmidt, 2022. "Estimating and backtesting risk under heavy tails," Papers 2201.10454, arXiv.org, revised Jan 2022.
    13. Kolm, Petter N. & Tütüncü, Reha & Fabozzi, Frank J., 2014. "60 Years of portfolio optimization: Practical challenges and current trends," European Journal of Operational Research, Elsevier, vol. 234(2), pages 356-371.
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    17. Alexander Cherny & Dilip Madan, 2009. "New Measures for Performance Evaluation," The Review of Financial Studies, Society for Financial Studies, vol. 22(7), pages 2371-2406, July.
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