Stock Option Pricing by Augmented Monte-Carlo Simulation models
Subject Areas : Econometrics and Financial Applications of other Theories (Stochastic Processes, (Stochastic) Partial Differential Equations, Dynamical Systems)
1 - Department of Financial Management, Islamshahr Branch, Islamic Azad University, Islamshahr, Iran
Keywords:
Abstract :
[1] Agarwal, A., Juneja, S., & Sircar, R., American options under stochastic volatility: control variates, maturity randomization & multiscale asymptotics, Quantitative Finance, 2016, 16(1), P. 17-30. Doi:10.1080/14697688.2015.1068443
[2] Alzubaidi, H., Efficient Monte Carlo Algorithm Using Antithetic Variate and Brownian Bridge Techniques for Pricing the Barrier Options with Rebate Payments, Journal of Mathematics and Statistics, 2016, 12, P. 1-11. Doi:10.3844/jmssp.2016.1.11
[3] Arnold, R. A., Microeconomics (9th Edition ed.). Cengage Learning, 2008.
[4] Ahmadi, R., Kordloei, H., The Effect of Financial Distress on the Investment Behavior of Companies Listed on Tehran Stock Exchange. Advances in Mathematical Finance and Applications, 2018, 3(4), P. 17-28. Doi: 10.22034/amfa.2019.565459.1108
[5] Baird, A. J., Option Market Making: Trading and Risk Analysis for the Financial and Commodity Option Markets, John Wiley & Sons, 1992.
[5] Bayraktar, E., & Xing, H, Pricing Asian options for jump diffusion, Mathematical Finance: An International Journal of Mathematics, Statistics and Financial Economics, 2011, 21(1), P. 117-143. Doi:10.1111/j.1467-9965.2010.00426.x
[6] Black, F., & Scholes, M., The pricing of options and corporate liabilities, Journal of political economy, 1973, 81(3), P. 637-654. Doi:10.1086/260062
[7] Bouaziz, L., Briys, E., & Crouhy, M., The pricing of forward-starting Asian options, Journal of Banking & Finance, 1994, 18(5), P. 823-839. Doi:10.1016/0378-4266(94)00031-X
[8] Boyle, P. P., Options: A monte carlo approach, Journal of financial economics, 1977, 4(3), P. 323-338. Doi:10.1016/0304-405X(77)90005-8
[9] Cox, J. C., & Ross, S. A., The valuation of options for alternative stochastic processes, Journal of financial economics, 1976, 3(1-2), P. 145-166. Doi:10.1016/0304-405X(76)90023-4
[10] Cox, J. C., Ross, S. A., & Rubinstein, M., Option pricing: A simplified approach, Journal of financial Economics, 1979, 7(3), P. 229-263. Doi:10.1016/0304-405X(79)90015-1
[11] Dibachi, H., Behzadi, M.H., Izadikhah, M., Stochastic multiplicative DEA model for measuring the efficiency and ranking of DMUs under VRS technology, Indian Journal of Science and Technology, 2014, 7 (11), P. 1765–1773. Doi: 10.17485/ijst/2014/v7i11.19
[12] Fu, M. C., & Hu, J.-Q., Sensitivity analysis for Monte Carlo simulation of option pricing, Probability in the Engineering and Informational Sciences, 1995, 9(3), P. 417-446. Doi:10.1017/S0269964800003958
[13] Grant, D., Vora, G., & Weeks, D., Path-dependent options: Extending the Monte Carlo simulation approach, Management Science, 1997, 43(11), P. 1589-1602. Doi:10.1287/mnsc.43.11.1589
[14] Healy, J., Variance Reduction of Ordinary Monte‐Carlo Estimates with the Brownian‐Bridge Path Construction, Wilmott, 2018, 96, P. 54-57. Doi:10.1002/wilm.10693
[15] Izadikhah, M., Farzipoor Saen, R., Ranking sustainable suppliers by context-dependent data envelopment analysis. Ann Oper Res, 2020, 293, P.607–637, Doi: 10.1007/s10479-019-03370-4
[16] Izadikhah, M., Azadi, M., Shokri Kahi, V., Farzipoor Saen, R., Developing a new chance constrained NDEA model to measure the performance of humanitarian supply chains, International Journal of Production Research, 2019, 57(3), P. 662-682, Doi: 10.1080/00207543.2018.1480840
[17] Jackson, M., & Staunton, M., Advanced Modelling in Finance using Excel and VBA, John Wiley & Sons, 2006.
[18] Jeon, S., Hong, B., Kim, J., & Lee, H.-j., Stock Price Prediction based on Stock Big Data and Pattern Graph Analysis, IoTBD, 2016, P. 223-231. Doi:10.5220/0005876102230231
[19] Jia, J., Lai, Y., Li, L., & Tan, V., Exotic options pricing under special Lévy process models: a biased control variate method approach, Finance Research Letters, 2019, Doi:10.1016/j.frl.2019.07.022
[20] Lai, D. C., Tung, H. K., & Wong, M. C., Professional Financial Computing Using Excel and VBA, John Wiley & Sons, 2011.
[21] Lemieux, C., Control variates, Wiley StatsRef: Statistics Reference Online, 2017, P. 1-8. Doi:10.1002/9781118445112.stat07947
[21] Merton, R. C., Theory of Rational Option Pricing, The Bell Journal of Economics and Management Science, 1973, 4(1), P. 141-183. Doi:10.2307/3003143
[22] Mohebbi, M., & Gholizade Pasha, E., Stock Option Contracts Within Iran Legal Framework, Legal Researches, 2012, 63, P. 101-141. Doi:10.22034/rj.v16i63.1027, (in Persian)
[22] Nabavi Chashmi, S. A., & Ghasemi Chali, J., Appraisal Exotic Barrier Options in Tehran Stock Exchange, Journal of Investment Knowledge, 2017, 5(20), P. 205-222, (in Persian).
[22] Nakisa, R. C., A Financial Bestiary: Introducing Equity, Fixed Income, Credit, FX, Forwards, Futures, Options and Derivatives, Chesham Bois Publishing, 2010.
[23] Parsa, B., Sarraf, F., Financial Statement Comparability and the Expected Crash Risk of Stock Prices. Advances in Mathematical Finance and Applications, 2018, 3(3), P. 77-93. Doi: 10.22034/amfa.2018.544951
[23] Rafiei, M. T., & Absossamadi, R., Investigating the legal aspests of option contracts on stock exchanges, Private Law, 2006, 4(10), P. 77-114, (in Persian).
[24] Seifoddini, J., Roodposhti, F. R., & Nikoomaram, H., Parametric Estimates of High Frequency Market Microstructure Noise as an Unsystematic Risk, Jounral of money and Economy, 2015, 10(4), P. 29-50.
[25] Shabani, A., & Baharvandi, A., Futures and Options Contract at Jurisprudential Point of View, Islamic economics Studies, 2011, 3(5), P. 37-68, (in Persian).
[25] Salehi, A., Mohammadi, S., Afshari, M., Impact of Institutional Ownership and Board Independence on the Relationship Between Excess Free Cash Flow and Earnings Management. Advances in Mathematical Finance and Applications, 2017, 2(3), P. 91-105. Doi: 10.22034/amfa.2017.533104
[26] Vajargah, B. F., Salimipour, A., & Salahshour, S., Variance analysis of control variate technique and applications in Asian option pricing, International Journal of Industrial Mathematics, 2016, 8(1), P. 61-67.
[27] Wu, H., Pricing European options based on the fuzzy pattern of Black–Scholes formula, Computers & Operations Research, 2004, 31(7), P. 1069-1081. Doi:10.1016/S0305-0548(03)00065-0
