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Exchange-Traded Funds: Are Excess Returns Normally Distributed?

Maximilian Hopf, Ralf Hudert, Michael G. Schmitt and Michael von Thaden
The Journal of Beta Investment Strategies Spring 2023, 14 (1) 99-107; DOI: https://doi.org/10.3905/jbis.2023.1.027
Maximilian Hopf
earned his bachelor of science degree in international management at ISM—International School of Management in Frankfurt, Germany
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Ralf Hudert
is a committed member of the CFA Society Germany and is the head of performance solutions at DWS Holding & Services in Frankfurt, Germany
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Michael G. Schmitt
is a professor of financial management at ISM—International School of Management in Frankfurt, Germany
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Michael von Thaden
is a professor of business informatics, mathematics, and statistics at FH Westküste in Heide, Germany
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Abstract

In today’s asset management world, exchange-traded funds (ETFs) play a crucial role. When reviewing their performance against the benchmark, it is often assumed that any excess returns are normally distributed. The aim of this article is to check the assumption of normal distribution for excess returns for ETFs. The authors show that for a considerable number of ETFs this assumption does not hold true. Furthermore, the authors show how false assumptions regarding the distribution of the excess returns might affect the risk estimation with respect to the excess returns.

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The Journal of Beta Investment Strategies: 14 (1)
The Journal of Beta Investment Strategies
Vol. 14, Issue 1
Spring 2023
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Exchange-Traded Funds: Are Excess Returns Normally Distributed?
Maximilian Hopf, Ralf Hudert, Michael G. Schmitt, Michael von Thaden
The Journal of Beta Investment Strategies Feb 2023, 14 (1) 99-107; DOI: 10.3905/jbis.2023.1.027

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Exchange-Traded Funds: Are Excess Returns Normally Distributed?
Maximilian Hopf, Ralf Hudert, Michael G. Schmitt, Michael von Thaden
The Journal of Beta Investment Strategies Feb 2023, 14 (1) 99-107; DOI: 10.3905/jbis.2023.1.027
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