MODELLING AND FORECASTING STOCK MARKET VOLATILITY OF NASDAQ COMPOSITE INDEX

Authors

DOI:

https://doi.org/10.32493/eaj.v2i3.y2019.p181-189

Keywords:

ARCH, ARIMA, GARCH, NASDAQ, Stock

Abstract

On the NASDAQ Composite Index from March 1971 to April 2019 it appears that the data is not stationary. For this reason, differentiation is needed by finding the value of stock returns from the NASDAQ Composite Index data from March 1971 to April 2019. After differentiating by looking for return values, the next analysis can be done, namely looking for the ARIMA model. Finding an ARIMA model using conventional analysis will require a long analysis time. So to shorten the analysis process using the EViews 10 statistical program. The results obtained after using the EViews program are getting the ARIMA model (8.0,6). The ARIMA model (8,0,6) was chosen because it has the smallest AIC value of 12,664073. This can be used as a reference later that the ARIMA model (8.0,6) is the best model in conducting forecasting. After that, the GARCH model is continued which aims to determine the ARIMA-GARCH model combination model. From the results of the analysis, it is known that the best model for forecasting the return value of the NASDAQ Composite Index is a combination of ARIMA (8.0,6)-EGARCH (1,1) models, which from the results of this analysis are known for fluctuating return values and index values for NASDAQ for one year in the future it is stagnant and does not show a trend.

References

Abounoori, E., Elmi, Z., & Nademi, Y. (2016). Forecasting Tehran stock exchange volatility; Markov switching GARCH approach. Physica A: Statistical Mechanics and Its Applications, 445, 264–282. https://doi.org/10.1016/j.physa.2015.10.024

Adam, K., Marcet, A., & Nicolini, J. P. (2016). Stock Market Volatility and Learning. Journal of Finance, 71(1), 33–82. https://doi.org/10.1111/jofi.12364

Adhikari, R., & Agrawal, R. K. (2014). A combination of artificial neural network and random walk models for financial time series forecasting. Neural Computing and Applications, 24(6), 1441–1449. https://doi.org/10.1007/s00521-013-1386-y

Alemohammad, N., Rezakhah, S., & Alizadeh, S. H. (2018). Markov switching asymmetric GARCH model: stability and forecasting. Statistical Papers, 1–25. https://doi.org/10.1007/s00362-018-0992-2

Aue, A., Horváth, L., & Pellatt, D. F. (2017). Functional Generalized Autoregressive Conditional Heteroskedasticity. Journal of Time Series Analysis, 38(1), 3–21. https://doi.org/10.1111/jtsa.12192

Bahamonde, N., Torres, S., & Tudor, C. A. (2018). ARCH model and fractional Brownian motion. Statistics and Probability Letters, 134, 70–78. https://doi.org/10.1016/j.spl.2017.10.003

Bekaert, G., & Hoerova, M. (2014). The VIX, the variance premium and stock market volatility. Journal of Econometrics, 183(2), 181–192. https://doi.org/10.1016/J.JECONOM.2014.05.008

Bentes, S. R. (2015). Forecasting volatility in gold returns under the GARCH, IGARCH and FIGARCH frameworks: New evidence. Physica A: Statistical Mechanics and Its Applications, 438, 355–364. https://doi.org/10.1016/j.physa.2015.07.011

Boubaker, S., Mansali, H., & Rjiba, H. (2014). Large controlling shareholders and stock price synchronicity. Journal of Banking and Finance, 40(1), 80–96. https://doi.org/10.1016/j.jbankfin.2013.11.022

Calmès, C., & Théoret, R. (2014). Bank systemic risk and macroeconomic shocks: Canadian and U.S. evidence. Journal of Banking and Finance, 40(1), 388–402. https://doi.org/10.1016/j.jbankfin.2013.11.039

Caporin, M., & Costola, M. (2019). Asymmetry and leverage in GARCH models: a News Impact Curve perspective. Applied Economics, 0(0), 1–20. https://doi.org/10.1080/00036846.2019.1578853

Charles, A., & Darné, O. (2014). Large shocks in the volatility of the Dow Jones Industrial Average index: 1928-2013. Journal of Banking and Finance, 43(1), 188–199. https://doi.org/10.1016/j.jbankfin.2014.03.022

Chau, F., Deesomsak, R., & Wang, J. (2014). Political uncertainty and stock market volatility in the Middle East and North African (MENA) countries. Journal of International Financial Markets, Institutions and Money, 28(1), 1–19. https://doi.org/10.1016/j.intfin.2013.10.008

Chtourou, H. (2015). Modeling and Forecasting the Dow Jones Stock Index with the EGARCH Model. International Journal of Economic Practices and Theories, 5(1), 51–61.

David, M., Ramahatana, F., Trombe, P. J., & Lauret, P. (2016). Probabilistic forecasting of the solar irradiance with recursive ARMA and GARCH models. Solar Energy, 133, 55–72. https://doi.org/10.1016/j.solener.2016.03.064

Duqi, A., Franci, L., & Torluccio, G. (2014). The Black-Litterman model: The definition of views based on volatility forecasts. Applied Financial Economics, 24(19), 1285–1296. https://doi.org/10.1080/09603107.2014.925056

Eliyawati, W. Y., Hidayat, R. R., & Azizah, D. F. (2014). Penerapan Model GARCH ( Generalized Autoregressive Conditional Heteroscedasticity) untuk Menguji Pasar Modal Efisien di Indonesia ( Studi pada Harga Penutupan ( Closing Price ) Indeks Saham LQ 45 Periode 2009-2011 ). Jurnal Administrasi Bisnis (JAB), 7(2), 1–10.

Enggar, N. L., Putriaji, H., & Zaenuri. (2015). Analisis volatility forecasting sembilan bahan pokok menggunakan metode Garch dengan program R. Unnes Journal of Mathematics Education, 4(2), 90–99.

Ferbar Tratar, L., & StrmÄnik, E. (2016). The comparison of Holt-Winters method and Multiple regression method: A case study. Energy, 109, 266–276. https://doi.org/10.1016/j.energy.2016.04.115

Gokbulut, R. I., & Pekkaya, M. (2014). Estimating and Forecasting Volatility of Financial Markets Using Asymmetric GARCH Models: An Application on Turkish Financial Markets. International Journal of Economics and Finance, 6(4), 23–35. https://doi.org/10.5539/ijef.v6n4p23

Guang, T., Yu, L., Xiaoyan, L., & Tian, K. (2014). The Development of Market Economy in China. Advances in Management & Applied Economics, 4(4), 73–99. Retrieved from www.scienpress.com/Upload/AMAE/Vol 4_4_7.pdf

Guesmi, K., & Fattoum, S. (2014). Return and volatility transmission between oil prices and oil-exporting and oil-importing countries. Economic Modelling, 38, 305–310. https://doi.org/10.1016/j.econmod.2014.01.022

Hartaty, H., Jasanta, P., & Harjum, M. (2018). SYMMETRIC AND ASYMMETRIC SHOCK MODELS OF STOCK RETURN VOLATILITY IN. International Journal of Civil Engineering and Technology (IJCIET), 9(8), 1034–1047. Retrieved from https://www.researchgate.net/profile/Jasanta_Peranginangin_Peranginangin/publication/327365140_Symmetric_and_asymmetric_shock_models_of_stock_return_volatility_in_Indonesia_stock_exchange/links/5b8a5533299bf1d5a735d950/Symmetric-and-asymmetric-shock-model

Huang, W., & Zhu, T. (2015). Foreign institutional investors and corporate governance in emerging markets: Evidence of a split-share structure reform in China. Journal of Corporate Finance, 32, 312–326. https://doi.org/10.1016/j.jcorpfin.2014.10.013

Hung, J.-C. (2011). Applying a combined fuzzy systems and GARCH model to adaptively forecast stock market volatility. Applied Soft Computing, 11(5), 3938–3945. https://doi.org/10.1016/J.ASOC.2011.02.020

Isida Mansaku, Saimir Mansaku, I. T. (2016). An empirical comparison of the major stock exchanges: NYSE, NASDAQ and LSE in Perspective. Academic Journal of Interdisciplinary Studies, 5(3), 406–415. https://doi.org/10.5901/ajis.2016.v5n3s1p406

Joukar, A., & Nahmens, I. (2015). Volatility Forecast of Construction Cost Index Using General Autoregressive Conditional Heteroskedastic Method. Journal of Construction Engineering and Management, 142(1), 04015051. https://doi.org/10.1061/(asce)co.1943-7862.0001020

Kambouroudis, D. S., McMillan, D. G., & Tsakou, K. (2016). Forecasting Stock Return Volatility: A Comparison of GARCH, Implied Volatility, and Realized Volatility Models. Journal of Futures Markets, 36(12), 1127–1163. https://doi.org/10.1002/fut.21783

Katsiampa, P. (2017). Volatility estimation for Bitcoin: A comparison of GARCH models. Economics Letters, 158, 3–6. https://doi.org/10.1016/j.econlet.2017.06.023

Kubilay, B., & Bayrakdaroglu, A. (2016). An Empirical Research on Investor Biases in Financial Decision-Making, Financial Risk Tolerance and Financial Personality. International Journal of Financial Research, 7(2), 171–182. https://doi.org/10.5430/ijfr.v7n2p171

Lahmiri, S., & Boukadoum, M. (2014). An Ensemble System Based on Hybrid EGARCH-ANN with Different Distributional Assumptions to Predict S&P 500 Intraday Volatility. Fluctuation and Noise Letters, 14(01), 1–10. https://doi.org/10.1142/s0219477515500017

Lama, A., Jha, G. K., Paul, R. K., & Gurung, B. (2015). Modelling and Forecasting of Price Volatility: An Application of GARCH and EGARCH Models. Agricultural Economics Research Review, 28(1), 73–82. https://doi.org/10.5958/0974-0279.2015.00005.1

Längkvist, M., Karlsson, L., & Loutfi, A. (2014). A review of unsupervised feature learning and deep learning for time-series modeling. Pattern Recognition Letters, 42(1), 11–24. https://doi.org/10.1016/j.patrec.2014.01.008

Lin, Z. (2018). Modelling and forecasting the stock market volatility of SSE Composite Index using GARCH models. Future Generation Computer Systems, 79, 960–972. https://doi.org/10.1016/j.future.2017.08.033

Liu, Q., Wong, I., An, Y., & Zhang, J. (2014). Asymmetric information and volatility forecasting in commodity futures markets. Pacific Basin Finance Journal, 26, 79–97. https://doi.org/10.1016/j.pacfin.2013.10.007

Marco, M. (2014). Financial Markets and Economic Growth. International Research Journal of Finance and Economics, (127), 83–89. https://doi.org/10.1111/j.1745-6622.2012.00360.x

Menggen, C. (2015). Article information :Risk-return tradeoff in Chinese stock markets: some recent evidence. International Journal of Emerging Markets, 10(3), 448–473. https://doi.org/http://dx.doi.org/10.1108/IJoEM-06-2012-0058

Monfared, S. A., & Enke, D. (2014). Volatility forecasting using a hybrid GJR-GARCH neural network model. Procedia Computer Science, 36, 246–253. https://doi.org/10.1016/j.procs.2014.09.087

Neama, N. H. (2016). Accumulated Remark Forecasting for American NASDAQ Stock Market by using Artificial Neural Network Models from 2006-2015. Global Journal of Finance and Management, 8(2), 143–151. Retrieved from http://www.ripublication.com/gjfm16/gjfmv8n2_04.pdf

Ngozi V., A. (2014). Testing volatility in Nigeria stock market using GARCH models. In CBN Journal of Applied Statistics (Vol. 5). Retrieved from https://www.econstor.eu/handle/10419/144786

Pilbeam, K., & Langeland, K. N. (2015). Forecasting exchange rate volatility: GARCH models versus implied volatility forecasts. International Economics and Economic Policy, 12(1), 127–142. https://doi.org/10.1007/s10368-014-0289-4

Ramos, P., Santos, N., & Rebelo, R. (2015). Performance of state space and ARIMA models for consumer retail sales forecasting. Robotics and Computer-Integrated Manufacturing, 34, 151–163. https://doi.org/10.1016/j.rcim.2014.12.015

Salisu, A. A., & Isah, K. O. (2017). Revisiting the oil price and stock market nexus: A nonlinear Panel ARDL approach. Economic Modelling, 66(July), 258–271. https://doi.org/10.1016/j.econmod.2017.07.010

Sam Alan, W., Harminder, S., Sukanto, B., & Kuldeep, K. (2016). Invisible walls: Do psychological barriers really exist in stock index levels? North American Journal of Economics and Finance, 36, 267–278. https://doi.org/10.1016/j.najef.2016.01.006

Sensoy, A., & Tabak, B. M. (2015). Time-varying long term memory in the European Union stock markets. Physica A: Statistical Mechanics and Its Applications, 436, 147–158. https://doi.org/10.1016/j.physa.2015.05.034

Sharma, P., & Vipul. (2015). Forecasting stock index volatility with GARCH models: international evidence. Studies in Economics and Finance, 32(4), 445–463. https://doi.org/10.1108/SEF-11-2014-0212

Sinay, L. J. (2014). PENDEKATAN VECTOR ERROR CORRECTION MODEL UNTUK ANALISIS HUBUNGAN INFLASI , BI RATE DAN KURS DOLAR AMERIKA SERIKAT Vector Error Correction Model Approach to Analysis of the relationship of Inflation , BI Rate and US Dollar. Jurnal Ilmu Matematika Dan Terapan, 8(2), 9–18.

Tripathy, T., & Gil-Alana, L. A. (2015). Modelling time-varying volatility in the Indian stock returns: Some empirical evidence. Review of Development Finance, 5(2), 91–97. https://doi.org/10.1016/j.rdf.2015.04.002

Virbickaite, A., Ausín, M. C., & Galeano, P. (2015). Bayesian inference methods for univariate and multivariate garch models: A survey. Journal of Economic Surveys, 29(1), 76–96. https://doi.org/10.1111/joes.12046

Wang, Y., Ma, F., Wei, Y., & Wu, C. (2016). Forecasting realized volatility in a changing world: A dynamic model averaging approach. Journal of Banking and Finance, 64, 136–149. https://doi.org/10.1016/j.jbankfin.2015.12.010

Yanan, L., & David, E. G. (2014). Modelling Volatility Spillover Effects Between Developed Stock Markets and Asian Emerging Stock Markets. International Journal of Finance & Economics, 20(2), 155–177. https://doi.org/10.1002/ijfe.1506

Published

2019-10-03