Sürdürülebilir Portföy Seçimi İçin Bir Dayanıklı Teorik Yaklaşım: BIST Katılım Sürdürülebilirlik Hisse Senetleri Üzerine Bir Uygulama

Yıl 2024, , 60 - 72, 31.05.2024

Furkan Göktaş

https://doi.org/10.20875/makusobed.1436718

Öz

Bu çalışmanın amacı tutucu yatırımcılar için sürdürülebilir portföy seçimini incelemektir. Bu kapsamda iki aşamalı bir yaklaşım önerilmiştir. İlk aşamada hisse senetlerinin sürdürülebilirlik skorları, R-FES olarak kısaltılan bir bulanık çok kriterli karar verme (ÇKKV) yaklaşımıyla uzman bilgisinden yararlanılarak elde edilmiştir. İkinci aşamada sürdürülebilirlik skoru vektörünü, örneklem ortalama vektörünü ve örneklem kovaryans matrisini dikkate alan bir dayanıklı optimizasyon problemi oluşturulmuştur. Ayrıca bu problemin analitik çözümü belirli varsayımlar altında verilmiştir. Önerilen dayanıklı teorik yaklaşımı tanıtmak amacıyla BIST katılım sürdürülebilirlik endeksi hisseleri üzerine bir uygulama yapılmıştır. Yapılan uygulamada sürdürülebilir yatırımın performans kaybına neden olmayabileceği görülmüştür. Ayrıca kısa pozisyon almama kısıtının; performansı artırırken, riski ve getiriyi azalttığı görülmüştür.

Anahtar Kelimeler

Bulanık Küme, Çok Kriterli Karar Verme, Dayanıklı Optimizasyon, Portföy Seçimi, Sürdürülebilirlik

A Robust Theoretical Approach for Sustainable Portfolio Selection: An Application on BIST Participation Sustainability Index Stocks

Öz

This study aims to examine sustainable portfolio selection for conservative investors. In this context, a two-stage approach is proposed. In the first stage, the sustainability scores of stocks are obtained by utilizing expert knowledge through a fuzzy multi-criteria decision-making (FMCDM) approach abbreviated as R-FES. In the second stage, a robust optimization problem that takes into account the sustainability score vector, the sample mean vector and the sample covariance matrix is formulated. Moreover, the analytical solution of this problem is given under certain assumptions. In order to introduce the proposed robust theoretical approach, an application on BIST participation sustainability index stocks is made. In the application, it is seen that sustainable investment may not cause performance loss. In addition, the constraint of not taking short positions is found to improve performance while reducing risk and return.

Anahtar Kelimeler

Fuzzy Set, Multi-Criteria Decision-Making, Robust Optimization, Portfolio Selection, Sustainability

Kaynakça

• Ballestero, E., Bravo, M., Pérez-Gladish, B., Arenas-Parra, M. ve Pla-Santamaria, D. (2012). Socially responsible investment: A multicriteria approach to portfolio selection combining ethical and financial objectives. European Journal of Operational Research, 216(2), 487-494. https://doi.org/10.1016/j.ejor.2011.07.011
• Bilbao-Terol, A., Arenas-Parra, M., Cañal-Fernández, V. ve Obam-Eyang, P. N. (2018). Multi-criteria analysis of the GRI sustainability reports: an application to Socially Responsible Investment. Journal of the Operational Research Society, 69(10), 1576-1598. https://doi.org/10.1057/s41274-017-0229-0
• Breuer, T. (2006). Providing against the worst: Risk capital for worst case scenarios. Managerial Finance, 32(9), 716-730. https://doi.org/10.1108/03074350610681934
• Calvo, C., Ivorra, C. ve Liern, V. (2016). Fuzzy portfolio selection with non-financial goals: exploring the efficient frontier. Annals of Operations Research, 245(1-2), 31-46. https://doi.org/10.1007/s10479-014-1561-2
• Chu, T. C. ve Lin, Y. (2009). An extension to fuzzy MCDM. Computers & Mathematics with Applications, 57(3), 445-454. https://doi.org/10.1016/j.camwa.2008.10.076
• DeMiguel, V., Garlappi, L., Nogales, F. J. ve Uppal, R. (2009). A generalized approach to portfolio optimization: Improving performance by constraining portfolio norms. Management Science, 55(5), 798-812. https://doi.org/10.1287/mnsc.1080.0986
• Garlappi, L., Uppal, R. ve Wang, T. (2007). Portfolio selection with parameter and model uncertainty: a multi-prior approach. The Review of Financial Studies, 20(1), 41-81. https://doi.org/10.1093/rfs/hhl003
• Gasser, S. M., Rammerstorfer, M. ve Weinmayer, K. (2017). Markowitz revisited: social portfolio engineering. European Journal of Operational Research, 258(3), 1181-1190. https://doi.org/10.1016/j.ejor.2016.10.043
• Goldfarb, D. ve Iyengar, G. (2003). Robust portfolio selection problems. Mathematics of Operations Research, 28(1), 1-38. https://doi.org/10.1287/moor.28.1.1.14260
• Göktaş, F. (baskıda). A game-theoretical integrated approach for sustainable portfolio selection: An application on BIST participation sustainability index stocks. Black Sea Journal of Engineering and Science. https://doi.org/10.34248/bsengineering.1403554
• Göktaş, F. ve Duran, A. (2019). A new possibilistic mean-variance model based on the principal components analysis: an application on the Turkish holding stocks. Journal of Multiple-Valued Logic & Soft Computing, 32(5-6), 455-476.
• Göktaş, F. ve Gökerik, M. (2024). A novel robust theoretical approach on social media advertisement platform selection. International Journal of Engineering Research and Development, 16(1), 373-382. https://doi.org/10.29137/umagd.1398580
• Göktaş, F. ve Güçlü, F. (2024). Yeni bir çok kriterli karar verme yaklaşımı “olabilirlik değerlendirme sistemi”: Katılım fonları üzerine bir uygulama. Black Sea Journal of Engineering and Science, 7(1), 1-8. https://doi.org/10.34248/bsengineering.1341340
• Grant, M. C. ve Boyd, S. P. (2008). Graph implementations for nonsmooth convex programs. V. D. Blondel, S. P.
• Boyd ve H. Kimura (Eds.) içinde, Recent advances in learning and control (ss. 95-110). Springer London. https://doi.org/10.1007/978-1-84800-155-8_7
• Hilario-Caballero, A., Garcia-Bernabeu, A., Salcedo, J. V. ve Vercher, M. (2020). Tri-criterion model for constructing low-carbon mutual fund portfolios: A preference-based multi-objective genetic algorithm approach. International Journal of Environmental Research and Public Health, 17(17), 6324. https://doi.org/10.3390/ijerph17176324
• Jorion, P. (1986). Bayes-Stein estimation for portfolio analysis. Journal of Financial and Quantitative Analysis, 21(3), 279-292. https://doi.org/10.2307/2331042
• Hanine, Y., Lamrani Alaoui, Y., Tkiouat, M. ve Lahrichi, Y. (2021). Socially responsible portfolio selection: an interactive intuitionistic fuzzy approach. Mathematics, 9(23), 3023. https://doi.org/10.3390/math9233023 Lutgens, F. ve Schotman, P. C. (2010). Robust portfolio optimisation with multiple experts. Review of Finance, 14(2), 343-383. https://doi.org/10.1093/rof/rfn028
• Markowitz, H. (1952). Portfolio selection. The Journal of Finance, 7(1), 77-91. https://doi.org/10.2307/2975974
• McKeown, R., Hopkins, C. A., Rizi, R. ve Chrystalbridge, M. (2002). Education for sustainable development toolkit. Energy, Environment and Resources Center, University of Tennessee.
• Pedersen, L. H., Fitzgibbons, S. ve Pomorski, L. (2021). Responsible investing: The ESG-efficient frontier. Journal of Financial Economics, 142(2), 572-597. https://doi.org/10.1016/j.jfineco.2020.11.001
• Qi, Y. ve Li, X. (2020). On imposing ESG constraints of portfolio selection for sustainable investment and comparing the efficient frontiers in the weight space. Sage Open, 10(4), 2158244020975070. https://doi.org/10.1177/2158244020975070
• Rustem, B., Becker, R. G. ve Marty, W. (2000). Robust min–max portfolio strategies for rival forecast and risk scenarios. Journal of Economic Dynamics and Control, 24(11-12), 1591-1621. https://doi.org/10.1016/S0165-1889(99)00088-3
• Steuer, R. E. ve Utz, S. (2023). Non-contour efficient fronts for identifying most preferred portfolios in sustainability investing. European Journal of Operational Research, 306(2), 742-753. https://doi.org/10.1016/j.ejor.2022.08.007
• Tütüncü, R. H. ve Koenig, M. (2004). Robust asset allocation. Annals of Operations Research, 132, 157-187. https://doi.org/10.1023/B:ANOR.0000045281.41041.ed
• Utz, S., Wimmer, M., Hirschberger, M. ve Steuer, R. E. (2014). Tri-criterion inverse portfolio optimization with application to socially responsible mutual funds. European Journal of Operational Research, 234(2), 491-498. https://doi.org/10.1016/j.ejor.2013.07.024
• Utz, S., Wimmer, M. ve Steuer, R. E. (2015). Tri-criterion modeling for constructing more-sustainable mutual funds. European Journal of Operational Research, 246(1), 331-338. https://doi.org/10.1016/j.ejor.2015.04.035
• Xidonas, P. ve Essner, E. (2022). On ESG portfolio construction: a multi-objective optimization approach. Computational Economics, (63), 1-25. https://doi.org/10.1007/s10614-022-10327-6
• Yadav, S., Kumar, A., Mehlawat, M. K., Gupta, P. ve Charles, V. (2023). A multi-objective sustainable financial portfolio selection approach under an intuitionistic fuzzy framework. Information Sciences, 646, 119379. https://doi.org/10.1016/j.ins.2023.119379