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A General Framework for Portfolio Theory. Part II: drawdown risk measures

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  • Stanislaus Maier-Paape
  • Qiji Jim Zhu

Abstract

The aim of this paper is to provide several examples of convex risk measures necessary for the application of the general framework for portfolio theory of Maier-Paape and Zhu, presented in Part I of this series (arXiv:1710.04579 [q-fin.PM]). As alternative to classical portfolio risk measures such as the standard deviation we in particular construct risk measures related to the current drawdown of the portfolio equity. Combined with the results of Part I (arXiv:1710.04579 [q-fin.PM]), this allows us to calculate efficient portfolios based on a drawdown risk measure constraint.

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  • Stanislaus Maier-Paape & Qiji Jim Zhu, 2017. "A General Framework for Portfolio Theory. Part II: drawdown risk measures," Papers 1710.04818, arXiv.org.
    • Handle: RePEc:arx:papers:1710.04818
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    References listed on IDEAS

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    1. Andreas Hermes & Stanislaus Maier-Paape, 2017. "Existence and Uniqueness for the Multivariate Discrete Terminal Wealth Relative," Papers 1703.00476, arXiv.org.
    2. William F. Sharpe, 1964. "Capital Asset Prices: A Theory Of Market Equilibrium Under Conditions Of Risk," Journal of Finance, American Finance Association, vol. 19(3), pages 425-442, September.
    3. Rockafellar, R. Tyrrell & Uryasev, Stan & Zabarankin, Michael, 2006. "Master funds in portfolio analysis with general deviation measures," Journal of Banking & Finance, Elsevier, vol. 30(2), pages 743-778, February.
    4. Stanislaus Maier-Paape & Qiji Jim Zhu, 2017. "A General Framework for Portfolio Theory. Part I: theory and various models," Papers 1710.04579, arXiv.org.
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    Cited by:

    1. Stanislaus Maier-Paape & Qiji Jim Zhu, 2018. "A General Framework for Portfolio Theory—Part I: Theory and Various Models," Risks, MDPI, vol. 6(2), pages 1-35, May.
    2. Stanislaus Maier-Paape & Qiji Jim Zhu, 2017. "A General Framework for Portfolio Theory. Part I: theory and various models," Papers 1710.04579, arXiv.org.

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