Humanities and Social Sciences
(dawna nazwa: Ekonomia i Nauki Humanistyczne)
24 (3/2017), DOI: 10.7862/rz.2017.hss.46
ПРОВЕРКА ТОЧНОСТИ ОЦЕНКИ СТАНДАРТНЫХ ОПЦИОНОВ НА АКЦИИ, ПОЛУЧЕННОЙ НА ОСНОВЕ МЕТОДА МОНТЕ–КАРЛО
Наталия ИВАЩУК, Жанна ПОПЛАВСКАЯ, Александр ИВАЩУК
Submitted by: Paweł Perz
DOI: 10.7862/rz.2017.hss.46
Abstract
The article is devoted to the algorithm for generating the random price of the option underlying asset by using the Monte Carlo method. The scheme of estimation of option value is presented in the article and is implemented on the example of three Ukrainian enterprises shares. The accuracy of the Monte Carlo method is considered, comparing the obtained results with the evaluation of options for the Black–Scholes method. In this paper, special attention has focused on the use of mathematical methods and models in the evaluation process of options that could be used to manage different types of risks. The economic entities often use options to limit price and currency risk in relation to the present or future position in the spot market. That risk management called hedging of positions. Options can be used by financial institutions and investors, too. Option strategies are especially popular among financial investors, who make up their portfolios of shares of different issuers. In this case, there are used the options in which the stock price or stock index is the underlying asset. Whatever the purpose of the use of options, their prices are the costs of risk management strategies building. Therefore, every participant in the derivatives market is trying to minimize the costs associated with risk management. In this regard, understanding the process of pricing options, ways of its evaluation and choice of its parameters are relevant to the financial managers who take a proactive approach to risk management at the enterprise or institution.
References
- Black F., Scholes M., The Pricing of Options and Corporate Liabilities, „The Journal of Political Economy” 81/3 (1973), s. 637–654
- Boyle P., Options: a Monte Carlo Approach, „Journal of Financial Economics” 4 (1977), s. 323–338
- Boyle P., Broadie M., Glasserman P., Monte Carlo Methods for Security Pricing, „Journal of Economic Dynamics and Control” 21 (1997), s. 1267–1321
- Chen H., A Dynamic Programming Approach to the Valuation of Warrants, University of California, Berkeley, CA 1969 (Unpublished Ph.D. thesis)
- Cox J.C., Ross S.A., The valuation of options for alternative stochastic processes, „Journal of Financial Economics” 3 (1976), s. 145–166
- Lai Y., Spanier J., Applications of Monte Carlo/Quasi–Monte Carlo Methods in Finance: Option Pricing, Claremont Graduate University, http://www.smartquant.com/ references/MonteCarlo/mc6.pdf
- Maidanov S., Monte Carlo European Option Pricing Implementation Using Various Industry Library Solutions, https://software.intel.com/sites/products/collateral/hpc/mkl/ monte-carlo-options-pricing.pdf
- Merton R.C., The Theory of Rational Option Pricing, „Bell Journal of Mathematics and Management Science” 4/1 (1973), s. 141–183
- Merton R.C. , Option Pricing When Underlying Stock Returns are Discontinuous, „Journal of Financial Economics” 3 (1976), s. 125–144
- Parkinson M., Option Pricing: The American Put, „Forthcoming in the Journal of Business” (1977)
- Pizzi C., Pellizzari P., Monte Carlo Pricing of American Options Using Nonparametric Regression, Finance. Economics working paper archive at WUSTL 2002, s. 1–15. http://down.cenet.org.cn/upfile/54/20056812464185.pdf
- Rogers L.C.G., Monte Carlo Valuation of American Options, University of Bath, http://www.skokholm.co.uk/wp-content/uploads/2013/02/mcamer.pdf
- Smith V.L., Experimental Economics: Induced Value Theory, „American Economic Review, Papers and Proceedings”, (1976), s. 274–279
- Yang C., Tompaidis S., Pricing American–Style Options by Monte Carlo Simulation: Alternatives to Ordinary Least Squares, University of Texas at Austin, http://faculty.mccombs.utexas.edu/stathis.tompaidis/code/LSM/lsm_paper.pdf
- Глухов M., Оценка опционов методом Монте–Карло, „Futures&Options” 4 (2009), s. 38-43
- http://www.investfunds.ua/markets/stocks/ – котирования акций украинской биржи
- http://www.kalkulaator.ee/?lang=2&page=29 – финансовый калькулятор вычисления стоимости европейского опциона по формуле Блэка–Шоулза
About this Article
TITLE:
ПРОВЕРКА ТОЧНОСТИ ОЦЕНКИ СТАНДАРТНЫХ ОПЦИОНОВ НА АКЦИИ, ПОЛУЧЕННОЙ НА ОСНОВЕ МЕТОДА МОНТЕ–КАРЛО
AUTHORS:
Наталия ИВАЩУК (1)
Жанна ПОПЛАВСКАЯ (2)
Александр ИВАЩУК (3)
AUTHORS AFFILIATIONS:
(1) AGH University of Science and Technology, Faculty of Management, Krakow
(2) профессор Жанна Поплавская, Факультет менеджмента, Жешовская политехника им.И.Лука-севича, Жешов
(3) Cracow University of Technology, Institute of Economics, Sociology and Philosophy
SUBMITTED BY:
Paweł Perz
JOURNAL:
Humanities and Social Sciences
24 (3/2017)
KEY WORDS AND PHRASES:
risk management, derivatives, options, payment function, the option premium, hedging
FULL TEXT:
http://doi.prz.edu.pl/pl/pdf/einh/335
DOI:
10.7862/rz.2017.hss.46
URL:
http://dx.doi.org/10.7862/rz.2017.hss.46
COPYRIGHT:
Publishing House of Rzeszow University of Technology Powstańców Warszawy 12, 35-959 Rzeszow