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DRAWDOWN MEASURES AND RETURN MOMENTS

Philipp M. Möller ()
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Philipp M. Möller: Chair of Finance, Georg-August-Universität Göttingen, Platz der Göttinger Sieben 3, Göttingen 37075, Germany

International Journal of Theoretical and Applied Finance (IJTAF), 2018, vol. 21, issue 07, 1-42

Abstract: This paper provides an investigation of the effects of an investment’s return moments on drawdown-based measures of risk, including Maximum Drawdown (MDD), Conditional Drawdown (CDD), and Conditional Expected Drawdown (CED). Additionally, a new end-of-period drawdown measure is introduced, which incorporates a psychological aspect of risk perception that previous drawdown measures had been unable to capture. While simulation results indicate many similarities in the first and second moments, skewness and kurtosis affect different drawdown measures in radically different ways. Thus, users should assess whether their choice of drawdown measure accurately reflects the kind of risk they want to measure.

Keywords: Risk measures; drawdown; moments; regret; exponential Lévy process; normal inverse Gaussian process; autocorrelation (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (1)

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DOI: 10.1142/S0219024918500425

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