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Option pricing in high volatile illiquid market | ||
| Journal of Mathematics and Modeling in Finance | ||
| دوره 4، شماره 1، مهر 2024، صفحه 147-157 اصل مقاله (821.24 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22054/jmmf.2024.78625.1126 | ||
| نویسندگان | ||
| Sima Mashayekhi* ؛ Seyed Nourollah Mousavi | ||
| Department of Mathematics, Faculty of Science, Arak University, Arak 38156-8-8349, Iran. | ||
| چکیده | ||
| This study compares the performance of the classic Black-Scholes model and the generalized Liu and Young model in pricing European options and calculating derivatives sensitivities in high volatile illiquid markets. The generalized Liu and Young model is a more accurate option pricing model that incorporates both the efficacy of the number of invested stocks and the abnormal increase of volatility during a financial crisis for hedging pur- poses and the financial risk management. To evaluate the performance of these models, we use numerical methods such as finite difference schemes and Monte-Carlo simulation with antithetic variate variance reduction tech- nique. Our results show that the generalized Liu and Young model outper- forms the classic Black-Scholes model in terms of accuracy, especially in high volatile illiquid markets. Additionally, we find that the finite differ- ence schemes are more efficient and faster than the Monte-Carlo simulation in this model. Based on these findings, we recommend using the general- ized Liu and Young model with finite difference schemes for the European options and Greeks valuing in high volatile illiquid markets. | ||
| کلیدواژهها | ||
| Black-Scholes equation؛ Finite difference scheme؛ Greeks؛ Monte-Carlo simulation؛ Nonlinear partial differential equation | ||
| مراجع | ||
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