DOI QR코드

DOI QR Code

Deep learning forecasting for financial realized volatilities with aid of implied volatilities and internet search volumes

금융 실현변동성을 위한 내재변동성과 인터넷 검색량을 활용한 딥러닝

  • Shin, Jiwon (Institute of Mathematical Sciences, Ewha Womans University) ;
  • Shin, Dong Wan (Department of Statistics, Ewha Womans University)
  • 신지원 (이화여자대학교 수리과학연구소) ;
  • 신동완 (이화여자대학교 통계학과)
  • Received : 2021.09.07
  • Accepted : 2021.10.05
  • Published : 2022.02.28

Abstract

In forecasting realized volatility of the major US stock price indexes (S&P 500, Russell 2000, DJIA, Nasdaq 100), internet search volume reflecting investor's interests and implied volatility are used to improve forecast via a deep learning method of the LSTM. The LSTM method combined with search volume index produces better forecasts than existing standard methods of the vector autoregressive (VAR) and the vector error correction (VEC) models. It also beats the recently proposed vector error correction heterogeneous autoregressive (VECHAR) model which takes advantage of the cointegration relation between realized volatility and implied volatility.

S&P 500과 RUSSELL 2000, DJIA, Nasdaq 100 4가지 미국 주가지수의 실현변동성(realized volatility, RV)을 예측하는데 있어서 사람들의 관심 지표로 삼을 수 있는 인터넷 검색량(search volume, SV) 지수와 내재변동성(implied volatility, IV)를 이용하여 LSTM 딥러닝(deep learning) 방법으로 RV의 예측력을 높이고자하였다. SV을 이용한 LSTM 방법의 실현변동성 예측력이 기존의 기본적인 vector autoregressive (VAR) 모형, vector error correction (VEC)보다 우수하였다. 또한, 최근 제안된 RV와 IV의 공적분 관계를 이용한 vector error correction heterogeneous autoregressive (VECHAR) 모형보다도 전반적으로 예측력이 더 높음을 확인하였다.

Keywords

Acknowledgement

이 성과는 정부(과학기술정보통신부)의 재원으로 한국연구재단의 지원을 받아 수행된 연구임 (No. 2020R1F1A1A01051039).

References

  1. Bisaglia L and Procidano I (2002). On the power of the augmented Dickey-Fuller test against fractional alternatives using bootstrap, Economics Letters, 77, 343-347. https://doi.org/10.1016/S0165-1765(02)00146-5
  2. Bucci A (2017). Forecasting realized volatility: A Review, Journal of Advanced Studies in Finance, 8, 94-138.
  3. Bucci A (2020). Realized volatility forecasting with neural networks, Journal of Financial Econometrics, 18, 502-531. https://doi.org/10.1093/jjfinec/nbaa008
  4. Busch T, Christensen BJ, and Nielsen M (2011). The role of implied volatility in forecasting future realized volatility and jumps in foreign exchange, stock, and bond markets, Journal of Econometrics, 160, 48-57. https://doi.org/10.1016/j.jeconom.2010.03.014
  5. Cho SJ and Shin DW (2016). An intergrated heteroscedastic autoregressive model for forecasting realized volatilities, Journal of the Korean Statistical Society, unpublished.
  6. Chou J and Ngom N (2016). Time series analytics using sliding window metaheuristic optimization-based machine learning system for identifying building energy consumption patterns, Applied Energy, 177, 751-770. https://doi.org/10.1016/j.apenergy.2016.05.074
  7. Corsi F (2009). A simple approximate long-memory model of realized volatility, Journal of Financial Econometrics, 7, 174-196. https://doi.org/10.1093/jjfinec/nbp001
  8. Corsi F, Pirino D, and Reno R (2010). Threshold bipower variation and the impact of jumps on volatility forecasting, Journal of Econometrics, 159, 276-288. https://doi.org/10.1016/j.jeconom.2010.07.008
  9. Chung J, Gulcehre C, Cho KH, and Bengio Y (2014). Empirical Evaluation of Gated Recurrent Neural Networkson Sequence Modeling, arXiv: :1412.3555.
  10. Dimpfl T and Jank S (2016). Can internet search queries help to predict stock market volatility?, European Financial Management, 22, 171-192. https://doi.org/10.1111/eufm.12058
  11. Engle RF and Granger CWJ (1987). Co-integration and error correction: representation, estimation, and testing, Econometrica, 55, 251-276. https://doi.org/10.2307/1913236
  12. French KR, Schwert GW, and Stambaugh RF (1987). "Expected stockreturns and volatility", Journal of Financial Economics, 19, 3-29. https://doi.org/10.1016/0304-405X(87)90026-2
  13. Hamid A and Heiden M (2015). Forecasting volatility with empirical similarity and Google Trends, Journal of Economic Behavior & Organization, 117, 62-81. https://doi.org/10.1016/j.jebo.2015.06.005
  14. Hansen PR, Lunde A, and Nason JM (2011). The model confidence set, Econometrica, 79, 453-497. https://doi.org/10.3982/ecta5771
  15. Hochreiter S and Schmidhuber J (1997). Long short-term memory, Neural Computation, 9, 1735-1780. https://doi.org/10.1162/neco.1997.9.8.1735
  16. Huang MY, Rojas RR, and Convery PD (2020). Forecasting stock market movements using google trend searches, Empirical Economics, 59, 2821-2839. https://doi.org/10.1007/s00181-019-01725-1
  17. Kwiatkowski D, Phillips PCB, Schmidt P, and Shin Y (1992). Testing the null hypothesis of stationarity against the alternative of a unit root, Journal of Econometrics, 54, 159-178. https://doi.org/10.1016/0304-4076(92)90104-Y
  18. Lee D, Lee S, Han Y, and Lee K (2017). Ensemble of convolutional neural networks for weakly-supervised sound event detection using multiple scale input, Detection and Classification of Acoustic Scenes and Events.
  19. Livieris I, Pintelas E, and Pintelas P (2020). A CNN-LSTM model for gold price time-series forecasting, Neural Computing and Applications, 32, 17351-17360. https://doi.org/10.1007/s00521-020-04867-x
  20. McAleer M and Medeiros MC (2008). A multiple regime smooth transition heterogeneous autoregressive model for long memory and asymmetries, Journal of Econometrics, 147, 104-119. https://doi.org/10.1016/j.jeconom.2008.09.032
  21. Park S and Shin DW (2014). Modeling and forecasting realized volatilities of Korean financial assets featuring long memory and asymmetry, Asia-Pacific Journal of Financial Studies, 43, 31-58. https://doi.org/10.1111/ajfs.12039
  22. Poon SH and Granger CWJ (2003). Forecasting volatility in financial markets: A review, Journal of Economic Literature, 41, 478-539. https://doi.org/10.1257/002205103765762743
  23. Shin DW (2018). Forecasting realized volatility: A review, Journal of the Korean Statistical Society, 47, 395-404. https://doi.org/10.1016/j.jkss.2018.08.002
  24. Shin JW and Shin DW (2016). LIHAR model for forecasting realized volatilities featuring long-memory and asymmetry, The Korean Journal of Applied Statistics, 29, 1213-1229. https://doi.org/10.5351/KJAS.2016.29.7.1213
  25. Shin JW and Shin DW (2017). An outlier-adaptive forecast method for realized volatilities, The Korean Journal of Applied Statistics, 30, 323-334. https://doi.org/10.5351/KJAS.2017.30.3.323
  26. Shin JW and Shin DW (2019). Vector error correction heterogeneous autoregressive forecast model of realized volatility and implied volatility, Communications in Statistics - Simulation and Computation, 48, 1503-1515. https://doi.org/10.1080/03610918.2017.1414250
  27. Sreelekshmy S, Vinayakumar R, Gopalakrishnan E, Vijay K, and Soman K (2017). Stock price prediction using LSTM, RNN and CNN-sliding window model, International Conference on Advances in Computing, Communications and Informatics, 1643-1647.
  28. Troiano L, Villa EM, and Loia V (2018). Replicating a trading strategy by means of LSTM for financial industry applications, IEEE Transactions on Industrial Informatics, 14, 25-37.
  29. Wu Y, Yuan M, Dong S, Lin L, and Liu Y (2019). Remaining useful life estimation of engineered systems using vanilla LSTM neural networks, Neurocomputing, 275, 167-179. https://doi.org/10.1016/j.neucom.2017.05.063
  30. Yu L, Zhao Y, Tang L, and Yang Z (2015). Online big data-driven oil consumption forecasting with Google trends, International Journal of Forecasting, 35, 213-223. https://doi.org/10.1016/j.ijforecast.2017.11.005
  31. Yu Y, Si X, Hu C, Zhang J (2019). A review of recurrent neural networks: LSTM cells and network architectures, Neural Computation, 31, 1235-1270. https://doi.org/10.1162/neco_a_01199