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Recurrent Support Vector Regression for a Nonlinear ARMA Model with Applications to Forecasting Financial Returns

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Author Info
Shiyi Chen
Kiho Jeong
Wolfgang K. Härdle

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Abstract

Motivated by the recurrent Neural Networks, this paper proposes a recurrent Support Vector Regression (SVR) procedure to forecast nonlinear ARMA model based simulated data and real data of financial returns. The forecasting ability of the recurrent SVR is compared with three competing methods, MLE, recurrent MLP and feedforward SVR. Theoretically, MLE and MLP only focus on fit in-sample, but SVR considers both fit and forecast out-of-sample which endows SVR with an excellent forecasting ability. This is confirmed by the evidence from the simulated and real data based on two forecasting accuracy evaluation metrics (NSME and sign). That is, for one-step-ahead forecasting, the recurrent SVR is consistently better than the MLE and the recurrent MLP in forecasting both the magnitude and turning points, and really improves the forecasting performance as opposed to the usual feedforward SVR.

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Publisher Info
Paper provided by Sonderforschungsbereich 649, Humboldt University, Berlin, Germany in its series SFB 649 Discussion Papers with number SFB649DP2008-051.

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Length: 29 pages
Date of creation: Jul 2008
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Handle: RePEc:hum:wpaper:sfb649dp2008-051

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Related research
Keywords: Recurrent Support Vector Regression; MLE; recurrent MLP; nonlinear ARMA; financial forecasting;

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Find related papers by JEL classification:
C45 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Neural Networks and Related Topics
F37 - International Economics - - International Finance - - - International Finance Forecasting and Simulation
F47 - International Economics - - Macroeconomic Aspects of International Trade and Finance - - - Forecasting and Simulation

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  1. Wolfgang Härdle & Rouslan A. Moro & Dorothea Schäfer, 2005. "Predicting Bankruptcy with Support Vector Machines," SFB 649 Discussion Papers SFB649DP2005-009, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany. [Downloadable!]
  2. Tian, Jilei & Juhola, Martti & Gronfors, Tapio, 1997. "AR parameter estimation by a feedback neural network," Computational Statistics & Data Analysis, Elsevier, vol. 25(1), pages 17-24, July. [Downloadable!] (restricted)
  3. Wolfgang Härdle & Rouslan Moro & Dorothea Schäfer, 2006. "Graphical Data Representation in Bankruptcy Analysis," SFB 649 Discussion Papers SFB649DP2006-015, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany. [Downloadable!]
  4. Gaudart, Jean & Giusiano, Bernard & Huiart, Laetitia, 2004. "Comparison of the performance of multi-layer perceptron and linear regression for epidemiological data," Computational Statistics & Data Analysis, Elsevier, vol. 44(4), pages 547-570, January. [Downloadable!] (restricted)
  5. Kuan, Chung-Ming & Liu, Tung, 1995. "Forecasting Exchange Rates Using Feedforward and Recurrent Neural Networks," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 10(4), pages 347-64, Oct.-Dec.. [Downloadable!] (restricted)
  6. Lisi, Francesco & Schiavo, Rosa A., 1999. "A comparison between neural networks and chaotic models for exchange rate prediction," Computational Statistics & Data Analysis, Elsevier, vol. 30(1), pages 87-102, March. [Downloadable!] (restricted)
  7. Chung-Ming Kuan & Kurt Hornik & Halbert White, 1993. "A Convergence Result for Learning in Recurrent Neural Networks," University of California at San Diego, Economics Working Paper Series 90-42r, Department of Economics, UC San Diego.
  8. Angelos Kanas, 2003. "Non-linear forecasts of stock returns," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 22(4), pages 299-315. [Downloadable!]
  9. Lee, Tian-Shyug & Chiu, Chih-Chou & Chou, Yu-Chao & Lu, Chi-Jie, 2006. "Mining the customer credit using classification and regression tree and multivariate adaptive regression splines," Computational Statistics & Data Analysis, Elsevier, vol. 50(4), pages 1113-1130, February. [Downloadable!] (restricted)
  10. Nikolaus Hautsch & Vahidin Jeleskovic, 2008. "Modelling High-Frequency Volatility and Liquidity Using Multiplicative Error Models," SFB 649 Discussion Papers SFB649DP2008-047, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany. [Downloadable!]
  11. Pesaran, M.H. & Timmermann, A.G., 1990. "The Statistical And Economic Significance Of The Predictability Of Excess Returns On Common Stocks," Papers 26, California Los Angeles - Applied Econometrics.
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  12. Evgeniou, Theodoros & Poggio, Tomaso & Pontil, Massimiliano & Verri, Alessandro, 2002. "Regularization and statistical learning theory for data analysis," Computational Statistics & Data Analysis, Elsevier, vol. 38(4), pages 421-432, February. [Downloadable!] (restricted)
  13. Nag, Ashok K & Mitra, Amit, 2002. "Forecasting Daily Foreign Exchange Rates Using Genetically Optimized Neural Networks," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 21(7), pages 501-11, November.
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