Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/195868 
Year of Publication: 
2018
Citation: 
[Journal:] Risks [ISSN:] 2227-9091 [Volume:] 6 [Issue:] 3 [Publisher:] MDPI [Place:] Basel [Year:] 2018 [Pages:] 1-31
Publisher: 
MDPI, Basel
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 (2018), presented in Part I of this series. As an 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. In contrast to references Chekhlov, Uryasev, and Zabarankin (2003, 2005), Goldberg and Mahmoud (2017), and Zabarankin, Pavlikov, and Uryasev (2014), who used the absolute drawdown, our risk measure is based on the relative drawdown process. Combined with the results of Part I, Maier-Paape and Zhu (2018), this allows us to calculate efficient portfolios based on a drawdown risk measure constraint.
Subjects: 
admissible convex risk measures
current drawdown
efficient frontier
portfolio theory
fractional Kelly allocation
growth optimal portfolio
financial mathematics
Persistent Identifier of the first edition: 
Creative Commons License: 
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Document Type: 
Article
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