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Machine learning versus econometric jump models in predictability and domain adaptability of index options

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  • Jang, H.
  • Lee, J.

Abstract

Econometric jump models dealing with key stylized facts in financial option markets have an explicit underlying asset process based on stochastic differential equations. Machine learning models with improved prediction accuracy have elicited considerable attention from researchers in the field of financial application. An intensive empirical study is conducted to compare two methods in terms of model estimation, prediction, and domain adaptation using S&P 100 American/European put options. Results indicated that econometric jump models demonstrate better prediction performance than the best-performing machine learning models, and the estimation results of the former are similar to those of the latter. The former also exhibited significantly better domain adaptation performance than the latter regardless of domain adaptation techniques in machine learning.

Suggested Citation

  • Jang, H. & Lee, J., 2019. "Machine learning versus econometric jump models in predictability and domain adaptability of index options," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 74-86.
  • Handle: RePEc:eee:phsmap:v:513:y:2019:i:c:p:74-86
    DOI: 10.1016/j.physa.2018.08.091
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    1. Dilip B. Madan & Peter P. Carr & Eric C. Chang, 1998. "The Variance Gamma Process and Option Pricing," Review of Finance, European Finance Association, vol. 2(1), pages 79-105.
    2. Hutchinson, James M & Lo, Andrew W & Poggio, Tomaso, 1994. "A Nonparametric Approach to Pricing and Hedging Derivative Securities via Learning Networks," Journal of Finance, American Finance Association, vol. 49(3), pages 851-889, July.
    3. Goykhman, Mikhail & Teimouri, Ali, 2018. "Machine learning in sentiment reconstruction of the simulated stock market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 492(C), pages 1729-1740.
    4. Madan, Dilip B & Seneta, Eugene, 1990. "The Variance Gamma (V.G.) Model for Share Market Returns," The Journal of Business, University of Chicago Press, vol. 63(4), pages 511-524, October.
    5. Peter Carr & Hélyette Geman & Dilip B. Madan & Marc Yor, 2003. "Stochastic Volatility for Lévy Processes," Mathematical Finance, Wiley Blackwell, vol. 13(3), pages 345-382, July.
    6. Merton, Robert C., 1976. "Option pricing when underlying stock returns are discontinuous," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 125-144.
    7. S. G. Kou, 2002. "A Jump-Diffusion Model for Option Pricing," Management Science, INFORMS, vol. 48(8), pages 1086-1101, August.
    8. Adam Schmitz & Zhiguang Wang & Jung‐Han Kimn, 2014. "A Jump Diffusion Model for Agricultural Commodities with Bayesian Analysis," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 34(3), pages 235-260, March.
    9. S. G. Kou & Hui Wang, 2004. "Option Pricing Under a Double Exponential Jump Diffusion Model," Management Science, INFORMS, vol. 50(9), pages 1178-1192, September.
    10. Rama Cont & Ekaterina Voltchkova, 2005. "A Finite Difference Scheme for Option Pricing in Jump Diffusion and Exponential Lévy Models," Post-Print halshs-00445645, HAL.
    11. Andros Gregoriou & Jerome Healy & Christos Ioannidis, 2007. "Hedging under the influence of transaction costs: An empirical investigation on FTSE 100 index options," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 27(5), pages 471-494, May.
    12. Milačić, Ljubiša & Jović, Srđan & Vujović, Tanja & Miljković, Jovica, 2017. "Application of artificial neural network with extreme learning machine for economic growth estimation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 465(C), pages 285-288.
    13. Lorella Fatone & Francesca Mariani & Maria Cristina Recchioni & Francesco Zirilli, 2009. "An explicitly solvable multi‐scale stochastic volatility model: Option pricing and calibration problems," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 29(9), pages 862-893, September.
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    Cited by:

    1. Sevcan Uzun & Ahmet Sensoy & Duc Khuong Nguyen, 2023. "Jump forecasting in foreign exchange markets: A high‐frequency analysis," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 42(3), pages 578-624, April.
    2. Yossi Shvimer & Avi Herbon, 2020. "Tradability, closeness to market prices, and expected profit: their measurement for a binomial model of options pricing in a heterogeneous market," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 15(3), pages 737-762, July.

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