Full-text resources of CEJSH and other databases are now available in the new Library of Science.
Visit https://bibliotekanauki.pl

PL EN


2023 | 33 | 4 |

Article title

On portfolio analysis using oriented fuzzy numbers for the trade-related sector of the Warsaw Stock Exchange

Content

Title variants

Languages of publication

Abstracts

EN
Oriented fuzzy numbers are useful in portfolio management since they convey information regarding uncertainty and imprecision when considering financial markets. One may apply a fuzzy discount factor and an imprecise present value in the form of a trapezoidal oriented fuzzy number. An investor can obtain recommendations on individual stocks (buy, sell, accumulate, reduce). Analogous recommendations are also issued by experts. In such cases, recommendations are mostly based on available data and expert’s knowledge and experience. The purpose of the paper is to present a procedure for comparing the accuracy of both types of recommendations. Also, the real impact the recommendations have on potential changes in portfolio composition in trading-related industries is considered. The research uses quotations from companies from the trading sector of the Warsaw Stock Exchange (WSE). Theoretical considerations are presented in the form of an empirical case study.

Year

Volume

33

Issue

4

Physical description

Dates

published
2023

Contributors

  • Institute of Economy and Finance, WSB Merito University in Poznań, Poznań, Poland
  • Department of Operations Research and Mathematical Economics, Poznań University of Economics and Business, Poznań, Poland

References

  • [1] Buckley, J. J. The fuzzy mathematics of finance. Fuzzy Sets and Systems 21, 3 (1987), 257–273.
  • [2] Chin, A. L. L. Psychological biases and investor behavior: Survey evidence from Malaysian stock market. International Journal on Social Science Economics and Arts 2, 2 (2012), 67–73.
  • [3] Chira, I., Adams M., and Thornton, B. Behavioral bias within the decision making process. Journal of Business and Economics Research 6, 8 (2008), 11-20.
  • [4] Dubois, D., and Prade, H. Operations on fuzzy numbers. International Journal of System Science 9, 6 (1978), 613–626.
  • [5] Ertimur, Y., Muslu, V., and Zhang, F. X. Why are recommendations optimistic? Evidence from analysts’ coverage initiations. Review of Accounting Studies 16, 4 (2011), 679–718.
  • [6] Green, T. C. The value of client access to analyst recommendations. Journal of Financial and Quantitative Analysis 41, 1 (2006), 1–24.
  • [7] Gutierrez, I. Fuzzy numbers and net present value. Scandinavian Journal of Management 5, 2 (1989), 149–159.
  • [8] Herrera, F., Alonso, S., Chiclana, F., and Herrera-Viedma, E. Computing with words in decision making: foundations, trends and prospects. Fuzzy Optimization and Decision Making 8, 4 (2009), 337–364.
  • [9] Herrera, F., and Herrera-Viedma, A. Linguistic decision analysis: steps for solving decision problems under linguistic information. Fuzzy Sets and Systems 115, 1 (2000), 67–82.
  • [10] Iman, Z. Study of effectiveness models in optimal portfolio of shares. Middle East Journal Scientific Research 10, 2 (2011), 239–246.
  • [11] Jagongo, A. O., and Mutswenje, V. S. A survey of the factors influencing investment decisions: The case of individual investors at the NSE. International Journal of Humanities and Social Science 4, 4 (2014), 92–102.
  • [12] Kosiński, W. On fuzzy number calculus. International Journal of Applied Mathematics and Computer Science 16, 1 (2006), 51–57.
  • [13] Kosiński, W., Prokopowicz, P., and Ślęzak D. Fuzzy numbers with algebraic operations: algorithmic approach. In Proceedings of the IIS’2002 Symposium on Intelligent Information Systems, (Sopot, Poland , 2002), M. A. Kłopotek, S. T. Wierzchoń and M. Michalewicz, Eds., Physica Verlag, pp. 311–320.
  • [14] Krishnan, R., and Booker, D. M. Investors’ use of analysts’ recommendations. Behavioral Research in Accounting 14, 1 (2002), 129–156.
  • [15] Kuchta, D. Fuzzy capital budgeting. Fuzzy Sets and Systems 111, 3 (2000), 367–385.
  • [16] Lesage, C. Discounted cash-flows analysis: An interactive fuzzy arithmetic approach. European Journal of Economic and Social Systems 15, 2 (2001), 49–68.
  • [17] Łyczkowska-Hanćkowiak, A. On application of oriented fuzzy numbers for imprecise investment recommendations. Symmetry 12, 10 (2020), 1672.
  • [18] Łyczkowska-Hanćkowiak, A. The use of trapezoidal oriented fuzzy numbers in portfolio analysis. Symmetry 13, 9 (2021), 1722.
  • [19] Łyczkowska-Hanćkowiak, A., and Wójcicka-Wójtowicz, A. The impact of COVID19 lockdown on imprecision measure of TrOFNs portfolio analysis. In Proceedings of the 40th International Conference on Mathematical Methods in Economics MME 2022, W. Vojácková, Ed., College of Polytechnics Jihlava, pp. 223–228.
  • [20] Łyczkowska-Hanćkowiak, A., and A.Piasecki, K. The present value of a portfolio of assets with present values determined by trapezoidal ordered fuzzy number. Operations Research and Decisions 28, 2 (2018), 41–56.
  • [21] Piasecki, K. The basis of financial arithmetic from the viewpoint of the utility theory. Operations Research and Decisions 22, 3 (2012), 37–53.
  • [22] Piasecki, K. Some remarks on axiomatic definition of entropy measure. Journal of Intelligent and Fuzzy System 33, 3 (2017), 1945–1952.
  • [23] Piasecki, K. Revision of the Kosiński’s theory of ordered fuzzy numbers. Axioms 7, 1 (2018), 16.
  • [24] Piasecki, K., and Łyczkowska-Hanćkowiak, A. On approximation of any ordered fuzzy number by a trapezoidal ordered fuzzy number. Symmetry 10, 10 (2018), 526.
  • [25] Piasecki, K., and Łyczkowska-Hanćkowiak, A. Representation of Japanese candlesticks by oriented fuzzy numbers. Econometrics 8, 1 (2019), 1.
  • [26] Piasecki, K., and Łyczkowska-Hanćkowiak, A. Imprecision indexes of oriented fuzzy numbers. In International Workshop on Intuitionistic Fuzzy Sets and Generalized Nets. Selected papers from IWIFSGN’2019 (Cham, 2021), K. T. Atanassov V. Atanassova, J. Kacprzyk, A. Kałuszko, M. Krawczak, J. W. Owsiński, S. S. Sotirov, E. Sotirova, E. Szmidt, and S. Zadrożny, Eds., vol. 1308 of rtificial Intelligence and Soft Computing, Springer, pp. 112–124.
  • [27] Piasecki, K., and Łyczkowska-Hanćkowiak, A. Oriented fuzzy numbers vs. fuzzy numbers. Mathematics 9, 3 (2021), 523.
  • [28] Piasecki, K., and Łyczkowska-Hanćkowiak, A. Portfolio discount factor evaluated by oriented fuzzy numbers. In Proceedings of the 39th International Conference on Mathematical Methods in Economics MME 2021 (Prague, 2021), R. Hlavatý, Ed., Czech University of Life Sciences Prague, pp. 299–304.
  • [29] Piasecki, K., and Siwek, J. Investment strategies determined by present value given as trapezoidal fuzzy numbers. In Effective Investments on Capital Markets. 10th Capital Market Effective Investments Conference (CMEI 2018) (Cham, 2019), Springer Proceedings in Business and Economics series, W. Tarczynski and K. Nermend, Eds., Springer, pp. 189–213. ´
  • [30] Womack, K. Do brokerage analysts’ recommendations have investment value? Journal of Finance 51, 1 (1996), 137–167.
  • [31] Wójcicka-Wójtowicz, A. and Piasecki, K. Application of the oriented fuzzy numbers in credit risk assessment. Mathematics 9, 5 (2021), 535.
  • [32] Wójcicka-Wójtowicz, A. Can experts’ knowledge in ens inspire inspire efficient classification of potential debtors? In Proceedings of the 38th INTERNATIONAL Conference on Mathematical Methods in Economics MME 2020 (Brno, 2020), S. Kapounek and H. Vránová, Eds., Mendel University in Brno, pp. 650–655.
  • [33] Wójcicka-Wójtowicz, A. How to include experts’ imprecision in credit risk assessment? In Proceedings of the XIII International Scientific Conference Analysis of International Relations 2020. Methods and Models of Regional Development. Winter Edition (Katowice, 2020), W. Szkutnik, A. S Sączewska-Piotrowska, M. Hadaá-Dyduch, and J. Acedański, Eds., Publishing House of the University of Economics in Katowice, pp. 234–247.
  • [34] Wójcicka-Wójtowicz, A. Influence of imprecision on credit risk assessment - case study. In Proceedings of the International Scientific Conference Hradec Economic Days 2020 (Hradec Králové, 2020), P. Jedlicka, P. Maresova, K. Firlej, I. Soukal, Eds., University of Hradec Králové, pp. 871–880.
  • [35] Wójcicka-Wójtowicz, A., and Piasecki, K. A scale of credit risk evaluations assessed by ordered fuzzy numbers. SSRN Electronic Journal (2019), 3459822.
  • [36] Wójcicka-Wójtowicz, A., and Piasecki, K. Modifications of order scales for assessing debtors. Operations Research and Decisions 32, 3 (2022), 142–151.

Document Type

Publication order reference

Identifiers

Biblioteka Nauki
29432380

YADDA identifier

bwmeta1.element.ojs-doi-10_37190_ord230409
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.