MODELING TIME SERIES OF ATM LOCAL VOLATILITY FOR MICROSOFT STOCKS
DOI:
https://doi.org/10.30888/2663-5712.2021-07-02-084Keywords:
Local volatility, Dupire local volatility process, genetic algorithm, autocorrelation, polynomial regression, statistical significance, forecast.Abstract
In this work we apply simple linear and polynomial regression to model the time series of at-the-money (ATM) local volatility of Microsoft stocks and predict its out-of-sample values. Multiple researches consider ATM local volatility to be a good measureMetrics
References
Dupire, B.: Pricing with a smile. Risk, 7(1), 18-20 (1994)
Black, Fisher S.; Scholes, Myron S.: The Pricing of Options and Corporate Liabilities, Journal of Political Economy, 81(3), 637-654 (1973)
Ben Hamida, S., Cont, R.: Recovering volatility from option prices by evolutionary optimization. Journal of computational finance, 8(4), 18-33 (2020). http://dx.doi.org/10.21314/JCF.2005.130
Bondarenko, M., Bondarenko, V.: On dynamics of at-the-money local volatility calibrated from time series of VIX option. Modern engineering and innovative technologies, 12(6), 1-20 (2018). http://dx.doi.org/10.21511/nfmte.7.2018.01
Cerf, R.: Asymptotic convergence of genetic algorithms. Advances in Applied Probability, 30(2), 521–550 (1998). https://doi.org/10.1239/aap/1035228082
Christensen, B.J., Prabhala, N.R.: The relation between implied and realized volatility, Journal of Financial Economics, 50, 125—150 (1998).
Chatterjee, S. and Hadi, A.S.: Regression Analysis By Example, 5th ed., John Wiley and Sons, New York, 2012.
Rouaud, M.: Probability, Statistics and Estimation. http://www.incertitudes.fr/book.pdf Accessed 3 February 2021.
Durbin, J.; Watson, G. S.: Testing for Serial Correlation in Least Squares Regression, I. Biometrika. 37 (3–4): 409–428 (1950). doi:10.1093/biomet/37.3-4.409
Berrar, D.: Cross-validation, Reference Module in Life Sciences, 2018. DOI: 10.1016/B978-0-12-809633-8.20349-X
Fisher, R.: The Correlation Between Relatives on the Supposition of Mendelian Inheritance, Philosophical Transactions of the Royal Society of Edinburgh, 52, 399–433 (1918).
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