Dominance-Based Decision Rules for Pension Fund Selection under Different Distributional Assumptions
1
Department of Mathematical Modelling, Faculty of Mathematics and Natural Sciences, Kaunas University of Technology, 44249 Kaunas, Lithuania
2
Department of Probability and Mathematical statistics, Faculty of Mathematics and Physics, Charles University, 121 16 Prague, Czech Republic
3
Department of Applied Mathematics, Faculty of Mathematics and Natural Sciences, Kaunas University of Technology, 44249 Kaunas, Lithuania
4
Department of Computer Science, Faculty of Informatics, Kaunas University of Technology, 44249 Kaunas, Lithuania
*
Author to whom correspondence should be addressed.
†
These authors contributed equally to this work.
Mathematics 2020, 8(5), 719; https://doi.org/10.3390/math8050719
Received: 15 March 2020
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Revised: 21 April 2020
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Accepted: 26 April 2020
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Published: 4 May 2020
(This article belongs to the Special Issue Mathematical Modeling of Socio-Economic Systems)
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.
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Keywords:
stochastic dominance; pension funds; decision rules; network analysis; dominance ratio; semi-heavy tailed distribution
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MDPI and ACS Style
Kabašinskas, A.; Šutienė, K.; Kopa, M.; Lukšys, K.; Bagdonas, K. Dominance-Based Decision Rules for Pension Fund Selection under Different Distributional Assumptions. Mathematics 2020, 8, 719. https://doi.org/10.3390/math8050719
AMA Style
Kabašinskas A, Šutienė K, Kopa M, Lukšys K, Bagdonas K. Dominance-Based Decision Rules for Pension Fund Selection under Different Distributional Assumptions. Mathematics. 2020; 8(5):719. https://doi.org/10.3390/math8050719
Chicago/Turabian StyleKabašinskas, Audrius, Kristina Šutienė, Miloš Kopa, Kęstutis Lukšys, and Kazimieras Bagdonas. 2020. "Dominance-Based Decision Rules for Pension Fund Selection under Different Distributional Assumptions" Mathematics 8, no. 5: 719. https://doi.org/10.3390/math8050719
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