METHODS OF REAL OPTIONS VALUATION AND THEIR APPLICATION IN ANALYSIS OF INVESTMENT PROJECTS
Abstract
The article considers various approaches to the valuation of real options, analyzes their advantages and disadvantages in the conditions of the modern economic environment, which will allow for the effective use of these methods in practice to determine the cost and assess the effectiveness of investment decisions. Particular attention is paid to the justification of the advantages of using the Monte Carlo method as a method for assessing real options, which allows taking into account possible scenarios when implementing investment projects and making decisions on strategic investments. There were used among the general scientific research methods, analysis and synthesis methods, which ensured the definition of the essence and classification of real options. An important research tool was the application of the comparison method, which allowed comparing the main financial methods for assessing the cost and effectiveness of investments, namely discounted cash flows and real options. System analysis, in turn, provided the formation of a holistic picture of the possibility of applying methods for assessing the cost of real options in modern economic conditions, in particular, in the specific context of the investment activities of JSC “Ukrzaliznytsia”. For a detailed consideration of the practical aspects of the application of real options valuation methods, special research methods were used, in particular, the empirical method, which made it possible to collect and analyze actual data related to the use of these methods in a real business environment. This allowed for a more in-depth study of the situation of the implementation of one of the infrastructure investment projects of JSC “Ukrzaliznytsia”, which is an important example in the context of strategic investments and their valuation. The results of the study show that the use of real options valuation methods can significantly increase the efficiency of strategic decision-making under uncertainty, since they allow taking into account possible changes in the future that can significantly affect the success of investments. In addition, the Monte Carlo method, as a tool for estimating the price of an option, is extremely useful for calculating the cost of real options for investment projects, allowing not only determining the range of probable efficiency, but also to identify risk factors and contribute to the optimization of the company's investment strategies.
References
Андрущенко О. С. Використання методу реальних опціонів (ROV) під час оцінювання енергозберігаючих інновацій. Проблеми системного підходу в економіці. 2019. № 1 (69). С. 61–67.
ЄБРР може в жовтні виділити Укрзалізниці до $150 млн на закупівлю напіввагонів. Інтерфакс Україна : вебсайт. 25.07.2017. URL: https://interfax.com.ua/news/general/438209.html (дата звернення: 25.01.2025).
Пріоритетні інвестиційні проекти ПАТ «Укрзалізниця». Укрзалізниця, грудень 2017. 11 с. URL: https://www.kmu.gov.ua/storage/app/sites/1/uploaded-files/prioritetni-investitsiyni-proekti-pat-ukrzaliznitsya.pdf (дата звернення: 25.01.2025).
Ралко О. Використання методів реальних опціонів при прийнятті інвестиційних рішень. Науковий вісник Херсонського державного університету. 2015. № 13(4). С. 75–77.
Рябишев О. В. Використання опціонного підходу до оцінки вартості власного капіталу підприємства. Управління розвитком. 2013. № 22. С. 71–74. URL: http://nbuv.gov.ua/UJRN/Uproz_2013_22_31
Угрімова І. В., Замула О. В. Практичні аспекти методології оцінки бізнесу: досвід країн ЄС, Америки і України. Вісник Національного технічного університету «Харківський політехнічний інститут» (економічні науки). 2020. № 6. С. 45–50.
УЗ не пролонгувала кредитний договір з ЄБРР на закупівлю нових вагонів. Rail Expo : вебсайт. URL: https://railexpoua.com/novyny/uz-ne-prolonhuvala-kredytnoho-dohovoru-z-iebrr-na-zakupivliu-novykh-vahoniv/ (дата звернення: 25.01.2025).
Шестаков Д. Ю. Метод реальних опціонів як інструмент оцінки проектів з високою невизначеністю. Бізнес Інформ. 2019. № 2. С. 102–108.
Amram M., Howe K. N. Real Options Valuations: Taking Out the Rocket Science. Strategic Finance. 2003. Vol. 84, No. 8. Pp. 10–13.
Black F., Scholes M. The Pricing of Options and Corporate Liabilities. Journal of Political Economy. 1973. Vol. 81, No. 3. Pp. 637–654.
Brealey R. A., Myers S. C. Principles of Corporate Finance (14th Edition). McGraw-Hill Education, 2020. 903 p.
Cabanes A. M., Egana A. H., Romero A. Real option analysis. The viability of real estate projects. Investment Management and Financial Innovations. 2020. Vol. 17, No. 4. Pp. 271–284.
Collan M. Modeling Choices in the Valuation of Real Options: Reflections on Existing Models and Some New Ideas. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica. 2011. Vol. 50, no. 2. P. 5–12.
Cox J. C., Ross S. A., Rubinstein M. Option pricing: A simplified approach. Journal of Financial Economics. 1979. Vol. 7, no. 3. Pp. 229–263.
Damodaran A. Investment Valuation. Tools and Techniques for Determining the Value of Any Asset (3rd Edition). Wiley, 2012. 992 p.
Merton R. C. Theory of Rational Option Pricing. The Bell Journal of Economics and Management Science. 1973. Vol. 4, no. 1. Pp. 141–183.
Miciula I., Kadlubek M., Stepien P. Modern Methods of Business Valuation – Case Study and New Concepts. Sustainability. 2020. Vol. 12, No. 7. P. 1–22.
Myers S. C. Finance Theory and Financial Strategy. Strategic Management. 1984. Vol. 14, No. 1. Pp. 126–137.
Pike R., Neale B. Corporate Finance and Investment: Decisions and Strategies. Pearson, 2018. 880 p.
Schwartz E. S. The Real Options Approach to Valuation: Challenges and Opportunities. Latin American Journal of Economics. 2013. Vol. 50, no. 2. Pp. 163–177.
SLAS–University of Kent. Binomial Pricing Models. Financial Mathematics Clinic. Available at: www.kent.ac.uk/learning/documents/slas-documents/Binomial_models.pdf (дата звернення: 25.01.2025).
Triantis A. Realizing the Potential of Real Options: Does Theory Meet Practice? Journal of Applied Corporate Finance. 2005. Vol. 17, no. 2. Pp. 8–16.
Van Putten A. B., MacMillan I. C. Making Real Options Really Work. Harvard Business Review. 2005. Vol. 82, no. 12. Pp. 134–141.
Wang T. Real Option «in» Project and System Design identification of Options and Solution for Path Dependency. Cambridge: MIT, 2005. 337 p.
Andrushchenko O. S. (2019) Vykorystannia metodu realnykh optsioniv (ROV) pid chas otsiniuvannia enerhozberihaiuchykh innovatsii [Using the Real Options Method (ROV) when evaluating energy-saving innovations]. Problemy systemnoho pidkhodu v ekonomitsi – Problems of a Systems Approach in Economics, no. 1 (69), pp. 61–67.
Interfaks–Ukraina. YeBRR mozhe v zhovtni vydilyty Ukrzaliznytsi do $150 mln na zakupivliu napivvahoniv [The EBRD may allocate up to $150 million to Ukrzaliznytsia in October for the purchase of gondola cars]. Available at: https://interfax.com.ua/news/general/438209.html (accessed January 25, 2025).
Ukrzaliznytsia (2017, December) Priorytetni investytsiini proekty PAT «Ukrzaliznytsia» [Priority investment projects of PJSC “Ukrzaliznytsia”]. Ukrzaliznytsia (in Ukrainian). Available at: https://www.kmu.gov.ua/storage/app/sites/1/uploaded-files/prioritetni-investitsiyni-proekti-pat-ukrzaliznitsya.pdf (accessed January 25, 2025).
Ralko O. (2015) Vykorystannia metodiv realnykh optsioniv pry pryiniatti investytsiinykh rishen [Using real options methods when making investment decisions]. Naukovyi visnyk Khersonskoho derzhavnoho universytetu – Scientific Bulletin of Kherson State University, no. 13(4), pp. 75–77.
Riabyshev O. V. (2013) Vykorystannia optsionnoho pidkhodu do otsinky vartosti vlasnoho kapitalu pidpryiemstva [Using an option approach to assessing the value of the enterprise’s equity]. Upravlinnia rozvytkom – Development Management, no. 22, pp. 71–74.
Uhrimova I. V., Zamula O. V. (2020) Praktychni aspekty metodolohii otsinky biznesu: dosvid krain YeS, Ameryky i Ukrainy [Practical aspects of business valuation methodology: experience of EU countries, America and Ukraine.]. Visnyk Natsionalnoho tekhnichnoho universytetu «Kharkivskyi politekhnichnyi instytut» (ekonomichni nauky) – Bulletin of the National Technical University “Kharkiv Polytechnic Institute” (economic sciences), no. 6, pp. 45–50.
Rail Expo. UZ ne prolonhuvala kredytnyi dohovir z YeBRR na zakupivliu novykh vahoniv [UZ did not extend the loan agreement with the EBRD for the purchase of new cars]. Available at: https://railexpoua.com/novyny/uz-ne-prolonhuvala-kredytnoho-dohovoru-z-iebrr-na-zakupivliu-novykh-vahoniv/ (accessed January 25, 2025).
Shestakov D. Yu. (2019) Metod realnykh optsioniv yak instrument otsinky proektiv z vysokoiu nevyznachenistiu [The real options method as a tool for assessing projects with high uncertainty]. Biznes Inform – Business Inform, no. 2, pp. 102–108.
Amram M., Howe K. N. (2003) Real Options Valuations: Taking Out the Rocket Science. Strategic Finance, vol. 84, no. 8, pp. 10–13.
Black F., Scholes M. (1973) The Pricing of Options and Corporate Liabilities. Journal of Political Economy, vol. 81, no. 3, pp. 637–654.
Brealey R. A., Myers S. C. (2020) Principles of Corporate Finance (14th Edition). McGraw-Hill Education.
Cabanes A. M., Egana A. H., Romero A. (2020) Real option analysis. The viability of real estate projects. Investment Management and Financial Innovations, vol. 17, no. 4, pp. 271–284.
Collan M. (2011) Modeling Choices in the Valuation of Real Options: Reflections on Existing Models and Some New Ideas. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 50, no. 2, pp. 5–12.
Cox J. C., Ross S. A., Rubinstein M. (1979) Option pricing: A simplified approach. Journal of Financial Economics, vol. 7, no. 3, pp. 229–263.
Damodaran A. (2012) Investment Valuation. Tools and Techniques for Determining the Value of Any Asset (3rd Edition). Wiley.
Merton R. C. (1973) Theory of Rational Option Pricing. The Bell Journal of Economics and Management Science, vol. 4, no. 1, pp. 141–183.
Miciula I., Kadlubek M., Stepien P. (2020) Modern Methods of Business Valuation – Case Study and New Concepts. Sustainability, vol. 12, no. 7, pp. 1–22.
Myers S. C. (1984) Finance Theory and Financial Strategy. Strategic Management, vol. 14, no. 1, pp. 126–137.
Pike R., Neale B. (2018) Corporate Finance and Investment: Decisions and Strategies. Pearson.
Schwartz E. S. (2013) The Real Options Approach to Valuation: Challenges and Opportunities. Latin American Journal of Economics, vol. 50, no. 2, pp. 163–177.
SLAS–University of Kent. Binomial Pricing Models. Financial Mathematics Clinic. Available at: www.kent.ac.uk/learning/documents/slas-documents/Binomial_models.pdf (accessed January 25, 2025).
Triantis A. (2005) Realizing the Potential of Real Options: Does Theory Meet Practice? Journal of Applied Corporate Finance, vol. 17, no. 2, pp. 8–16.
Van Putten A. B., MacMillan I. C. (2005) Making Real Options Really Work. Harvard Business Review, vol. 82, no. 12, pp. 134–141.
Wang T. (2005) Real Option «in» Project and System Design identification of Options and Solution for Path Dependency. Cambridge: MIT.

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