Dominance-Based Decision Rules for Pension Fund Selection under Different Distributional Assumptions

Audrius Kabašinskas, Kristina Šutienė, Miloš Kopa, Kęstutis Lukšys and Kazimieras Bagdonas
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Audrius Kabašinskas: Department of Mathematical Modelling, Faculty of Mathematics and Natural Sciences, Kaunas University of Technology, 44249 Kaunas, Lithuania
Kristina Šutienė: Department of Mathematical Modelling, Faculty of Mathematics and Natural Sciences, Kaunas University of Technology, 44249 Kaunas, Lithuania
Miloš Kopa: Department of Mathematical Modelling, Faculty of Mathematics and Natural Sciences, Kaunas University of Technology, 44249 Kaunas, Lithuania
Kęstutis Lukšys: Department of Applied Mathematics, Faculty of Mathematics and Natural Sciences, Kaunas University of Technology, 44249 Kaunas, Lithuania
Kazimieras Bagdonas: Department of Computer Science, Faculty of Informatics, Kaunas University of Technology, 44249 Kaunas, Lithuania

Mathematics, 2020, vol. 8, issue 5, 1-26

Abstract: The pension landscape is changing due to the market situation, and technological change has enabled financial innovations. Pension savers usually seek financial advice to make a personalised decision in selecting the right pension fund for them. As such, decision rules based on the assumed risk profile of the decision maker could be generated by making use of stochastic dominance (SD). In the paper, the second-pillar pension funds operating in Lithuania and Slovakia are analysed according to SD rules. The importance of the distributional assumption is explored while comparing the results of empirical, student- t , Hyperbolic and Normal Inverse Gaussian distributions to generate SD-based rules that could be integrated into an advisory solution. Moreover, due to the differences in SD results under different distributional assumptions, a new SD ratio is proposed that condenses the dominance-based relations for all considered dominance orders and probability distributions. The empirical results indicate that this new SD ratio efficiently characterises not only the preference of each fund individually but also of a group of funds with the same attributes, thus enabling multi-risk and multi-country comparisons.

Keywords: stochastic dominance; pension funds; decision rules; network analysis; dominance ratio; semi-heavy tailed distribution (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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