The future of the stock market may never be predicted consistently, nor its past behavior understood entirely, but any knowledge gained from observing it could help decide on a sound investment strategy. In this study, I looked at the daily returns of the Philippine Stock Exchange index (PSEi) from March 1, 1990, to January 31, 2017, and see how the data relates to the mathematically verifiable aspects of noise theory and efficient market theory (EMT). In relation to the noise theory, I looked at the occurrences of anomalies. For the EMT, I made use of discrete-time Markov chains to determine some trends. The study results showed that most stock market anomalies are present while persistent behavior is hardly present in the dataset. Furthermore, I applied day ahead time domain forecasting methods starting with the simple moving average models to autoregressive moving average models. The augmented Dickey-Fuller test indicates that the daily returns are a stationary series although the ACF and PACF plots have consistently shown non-zero correlations for lags 1, 9, 12, 13. I have obtained AR(1) and ARMA(1,2) processes for the data and both models indicate the same forecasting accuracy via the Diebold-Mariano test. Although these time domain processes were unable to predict the random noise in the data, these processes were accurate in predicting the signs of the values as supported by the Pesaran-Timmermann test.
Keywords: if you have any list them here2000 in the Philippines. (2017, January 23n.d.). In Wikipedia. Retrieved January 28, 2017, from https://en.m.wikipedia.org/wiki/2000_in_the_Philippines
2001 in the Philippines. (2017, January 22n.d.). In Wikipedia. Retrieved January 28, 2017, from https://en.m.wikipedia.org/wiki/2001_in_the_Philippines
About PSE. (n.d.). Retrieved October 20, 2016, from www.pse.com.ph/corporate/ home.html?tab=0
Agcaoili, L. (2016, December 20). Launch of PERA: Voluntary retirement account now in force. The Philippine Star. Retrieved February 8, 2017, from www. Philstar.com/banking/ 2016/ 12/20/1654988/launch-pera-voluntary-retirement-account-now-force?no mobile=1
Bongle, J. C. (2010). Common sense on mutual funds. Hoboken, NJ: John Wiley & Sons, Inc.
Cunningham, L. A. (2001). How to think like Benjamin Graham and invest like Warren Buffet. New York: McGraw-Hill.
Diebold, F. X. (2012). Comparative predictive accuracy, twenty years later: A personal perspective on the use and abuse of Diebold-Mariano tests. (National Bureau of Economic Research Working Paper SeriesNo. X)., U.S.A.: Cambridge Massachusetts, USA.
De Vera, M. A., & Gabriel, L. A. D. (2016). Long range dependence of the Philippine Stock Exchange index. (Unpublished undergraduate thesis)., De La Salle University, Manila, Philippines.
Doubleday, K. J., & Esunge, J. N. (2011). Application of Markov chains to stock trends. Journal of Mathematics and Statistics, 7 (2), 103–-106.
Dumlao-Abadilla, D. (2017, February 22). Puregold to debut on PSEi, replacing Emperador. Inquirer.net. Retrieved February 22, 2017, from business.inquirer.net/225017/ puregold-debut-psei-replacing-emperador
Graham, B. & Zweig, J. (2005). The intelligent investor: A book of practical counsel. New York: Collins Business Essentials
Kellison, S. G. (1991). The theory of interest (2nd ed.). Place of publication: Richard D. Irwin, Inc.
Kumar, V. P. (2008, October 24). Indexes fall hard on bloody Friday. Market Watch. Retrieved October 21, 2016, from http://www.marketwatch.com/story/indexes-fall-hard-on-bloody-friday?dist=TNMostRead
Maddala, G. S. (2001). Introduction to econometrics. England: John Wiley & Sons Ltd.
Malkiel, B. G. (1999). A random walk down wall street: Including a life-cycle guide to personal investing. New York: W. W. Norton & Company, Inc.
Pesaran, M. H., & Timmermann, A. (2004). How costly is it to ignore breaks when forecasting the direction of a time series? International Journal of Forecasting, 20(3), 411-–425.
Requintinia, R. R. (2016, August 3). ‘Ghost Month’ starts today. Manila Bulletin. Retrieved October 23, 2016, from http:/mb.com.ph/ghost-month-starts-today
Ross, S. M. (1996). Stochastic processes (2nd ed.). Place of publication: John Wiley & Sons, Inc.
The Philippine Stock Exchange, Inc. (2016, August). Stock mMarket investor profile 2015. (August 2016). Retrieved October 20, 2016, from www.pseacademy.com.ph/LM/investors~details/id-1470362338525/2015_Stock_ Market_Investor_Profile.html
Tyson, E. (2011). Investing for dummies. Hoboken, NJ: John Wiley & Sons, Inc.
Waters, D. (1998). Essential quantitative methods. New York: Addison Wesley Longman Inc.
Zaiontz, C. (2018). Real statistics using Excel. Retrieved May 2, 2018, from www.real-statistics.com