Abstract
Hedging is important in financial risk management. Every investor aims to reduce the financial risks in his portfolio and achieve the maximum return. In performing this task, derivative securities have priority over all other instruments. Correct and effective use of them paves the way for rational management of financial risks. For this purpose, it is important to assess the value of derivative securities before using them. For this, the use of the Black-Scholes model which is, famous in the world of economics, serves as a good tool for preventing financial risks. This article examines the nature, history, trading and valuation methods of options, as well as the Black-Scholes model, its nature, history, advanced types, achievements and shortcomings.
References
https://www.nyse.com/data-insights/through-the-storm-options-usage-trends-to-end-2022-and-start-2023
https://www.investors.com/research/options/options-trading-today-after-50-years-of-growth/
https://www.investors.com/research/options/options-trading-today-after-50-years-of-growth/
Hull J., White A. (1987) The pricing of options on assets with stochastic volatilities. J Finance 42(2):281-300.
Wiggins J.B. (1987) Option values under stochastic volatility: theory and empirical estimates. J Financ Econ 19(2):351-372.
Scott L.O. (1987) Option pricing when the variance changes randomly: theory, estimation, and an application. J Financ Quant Anal 22(4):419-438.
Stein E.M., Stein J.C. (1991) Stock price distributions with stochastic volatility: an analytic approach. RevFinanc Stud 4(4):727-752.
Melino A., Turnbull S.M. (1995) Misspecification and the pricing and hedging of long-term foreign currency options. J Int Money Finance 14(3):373-393.
Heston S.L. (1993) A closed-form solution for options with stochastic volatility with applications to bond and currency options. Rev Financ Stud 6(2):327-343.
Amin K.I., Jarrow R.A. (1992) Pricing options on risky assets in a stochastic interest rate economy. Math Finance 2(4):217-237.
Bailey W., Stulz R.M. (1989) The pricing of stock index options in a general equilibrium model. J Financ Quant Anal 24(01):1-12.
Bakshi G.S., Chen Z. (1997a) An alternative valuation model for contingent claims. J Financ Econ 44(1):123–165
Lee J.C., Lee C.F., Wei K.J. (1991) Binomial option pricing with stochastic parameters: a beta distribution approach. Rev Quant Financ Acc 1(4):435-448.
Bates D.S. (1991) The crash of ‘87: was it expected? The evidence from options markets. J Finance 46(3):1009-1044.
Kou S.G. (2002) A jump-diffusion model for option pricing. Manag Sci 48(8):1086-1101.
Kou S.G., Wang H. (2004) Option pricing under a double exponential jump diffusion model. Manag Sci 50(9):1178-1192.
Psychoyios D., Dotsis G., Markellos R.N. (2010) A jump diffusion model for VIX volatility options and futures. Rev Quant Financ Acc 35(3):245-269.
Bates D.S. (1996) Jumps and stochastic volatility: exchange rate processes implicit in deutsche mark options. Rev Financ Stud 9(1):69-107.
Scott L.O. (1997) Pricing stock options in a jump-diffusion model with stochastic volatility and interest rates: applications of Fourier inversion methods. Math Finance 7(4):413-426.
Покутный И.В. Оценка стоимости опционов. Сравнительный анализ модели Блэка-Шоулза и метода Монте-Карло. // Экономика и бизнес. № 3/20.
Hillegeist S.A., Keating E.K., Cram D.P., Lundstedt K.G. (2004) Assessing the probability of bankruptcy. Rev Acc Stud 9(1):5-34.
Пахновская М.Н. Мишурова А.И. Особенности использования модели блэка – шоулза в оценке эффективности инвестиционных проектов. / Экономический анализ: теория и практика, 2018, т. 17, вып. 7, стр. 1285-130.
Renе M. Stulz. Chapter 18: Credit risks and credit derivatives. // Risk Management and Derivatives. – Consortium, 1999.
Black, Fischer, Myron Scholes. The Pricing of Options and Corporate Liabilities. // Journal of Political Economy journal. 1973. Vol. 81, no. 3. P. 637-654. doi:10.1086/260062
Merton, Robert C. Theory of Rational Option Pricing. // Bell Journal of Economics and Management Science journal. The RAND Corporation, 1973. Vol. 4, no. 1. P. 141-183. doi:10.2307/3003143. — JSTOR 3003143
Muallif tomonidan ishlab chiqilgan.
Raimjanova M., Sabirova L., Khanova N., Shadiyeva D., Rakhmankulova B. (2023). The Consequences of the Pandemic on the Inflow of Foreign Investment Abroad and in the Republic of Uzbekistan. XV International Scientific Conference “INTERAGROMASH 2022”. INTERAGROMASH 2022. Lecture Notes in Networks and Systems, vol 574. Springer, Cham.
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
Copyright (c) 2024 Economics and education