The Dynamics of Exchange Traded Funds: a geometrical and topological approach

Lucas Paiva de Carvalho and Tanya Araújo

No 2023/0302, Working Papers REM from ISEG - Lisbon School of Economics and Management, REM, Universidade de Lisboa

Abstract: Using a metric related to the returns correlation, a method is applied to the reconstruction of an economic space from Exchange-Traded Funds (ETFs) data. In the past, the same method was used in a geometrical analysis of times series of stock returns implying that the most of the systematic information of that market is contained in a space of small dimension. Here we have worked with ten years of daily returns of 85 ETF securities and the same dimensional reduction was obtained. Having a metric defined in the space of ETF securities, a topological approach is used to define a complete network of ETFs and its corresponding Minimum Spanning Tree (MST). An outstanding separation of the two main classes of securities over the MST is uncovered. The dimensional reduction as well as the uncovered pattern in the topological structure, they both emerge from the data itself rather than from any modelling resolution.

Keywords: Dimensional Reduction; Sthocastic Geometry; Market Networks; Financial Markets; ETFs; Financial Crises. (search for similar items in EconPapers)
Date: 2023-11
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