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The profitability in the FTSE 100 index: a new Markov chain approach. (English) Zbl 1437.91420

Summary: In this paper, we propose a new method to predict stock market trends based on the multivariate Markov chain (MMC) methodology. Our approach consists of forecasting the one-period ahead FTSE 100 Index behavior, using the MTD-Probit model. The MTD-Probit model is a new approach for estimating MMC, based on multiple categorical data sequences that can be used to forecast financial markets. In this context, we propose a simple trading strategy and analyze its profitability using the White “Reality Check” and the Hansen SPA data snooping bias tests. Our empirical results suggest that the MTD-Probit model applied to the FTSE 100 Index cannot significantly out-perform the buy-and-hold benchmark after data-snooping is controlled.

MSC:

91G15 Financial markets
60J20 Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.)

References:

[1] Abou-Zaid, As, Volatility spillover effects in emerging MENA stock markets, Review of Applied Economics, 7, 107-127 (2011)
[2] Akca, K.; Ozturk, Ss, The effect of 2008 crisis on the volatility spillovers among six major markets, International Review of Finance, 16, 1, 169-178 (2016) · doi:10.1111/irfi.12071
[3] Baele, L., Volatility spillover effects in European equity markets, Journal of Financial and Quantitative Analysis, 40, 2, 373-401 (2005) · doi:10.1017/S0022109000002350
[4] Bajgrowicz, P.; Scaillet, O., Technical trading revisited: False discoveries, persistence tests, and transaction costs, Journal of Financial Economics, 106, 3, 473-491 (2012) · doi:10.1016/j.jfineco.2012.06.001
[5] Berchtold, A., Estimation in the mixture transition distribution model, Journal of Time Series Analysis, 22, 4, 379-397 (2001) · Zbl 0973.62066 · doi:10.1111/1467-9892.00231
[6] Berchtold, A.; Raftery, Ae, The mixture transition distribution model for high-order Markov chains and non-Gaussian time series, Statistical Science, 17, 328-356 (2002) · Zbl 1013.62088 · doi:10.1214/ss/1042727943
[7] Bessembinder, H.; Chan, K., The profitability of technical trading rules in the Asian stock markets, Pacific-Basin Finance Journal, 3, 2, 257-284 (1995) · doi:10.1016/0927-538X(95)00002-3
[8] Brock, W.; Lakonishok, J.; Lebaron, B., Simple technical trading rules and the stochastic properties of stock returns, The Journal of Finance, 47, 5, 1731-1764 (1992) · doi:10.1111/j.1540-6261.1992.tb04681.x
[9] Chan, Jsp; Jain, R.; Xia, Y., Market segmentation, liquidity spillover, and closed-end country fund discounts, Journal of Financial Markets, 11, 4, 377-399 (2008) · doi:10.1016/j.finmar.2008.01.005
[10] Chen, Cw; Huang, Cs; Lai, Hw, Data snooping on technical analysis: Evidence from the Taiwan stock market, Review of Pacific Basin Financial Markets and Policies, 14, 2, 195-212 (2011) · doi:10.1142/S0219091511002238
[11] Chen, Dg; Lio, Yl, A novel estimation approach for mixture transition distribution model in high-order Markov chains, Communications in Statistics-Simulation and Computation, 38, 5, 990-1003 (2009) · Zbl 1163.65005 · doi:10.1080/03610910802715009
[12] Ching, Wk; Fung, Es; Ng, Mk, A multivariate Markov chain model for categorical data sequences and its applications in demand predictions, IMA Journal of Management Mathematics, 13, 3, 187-199 (2002) · Zbl 1040.62108 · doi:10.1093/imaman/13.3.187
[13] Ching, Wk; Fung, Es; Ng, Mk, Higher-order Markov chain models for categorical data sequences*, Naval Research Logistics (NRL), 51, 4, 557-574 (2004) · Zbl 1054.62098 · doi:10.1002/nav.20017
[14] Ching, Wk; Ng, Mk; Fung, Es, Higher-order multivariate Markov chains and their applications., Linear Algebra and its Applications, 428, 2, 492-507 (2008) · Zbl 1144.65006 · doi:10.1016/j.laa.2007.05.021
[15] Christiansen, C., Volatility-spillover effects in European bond markets, European Financial Management, 13, 5, 923-948 (2007) · doi:10.1111/j.1468-036X.2007.00403.x
[16] Dai, Ys; Lee, Wm, The profitability of technical analysis in the Taiwan-US forward foreign exchange market, Economics Bulletin, 31, 2, 1606-1612 (2011)
[17] Doubleday, Kj; Esunge, Jn, Application of Markov chains to stock trends, Journal of Mathematics and Statistics, 7, 2, 103 (2011) · doi:10.3844/jmssp.2011.103.106
[18] Fama, Ef, The behavior of stock-market prices, The Journal of Business, 38, 1, 34-105 (1965) · doi:10.1086/294743
[19] Fama, Ef, Efficient capital markets: A review of theory and empirical work, The Journal of Finance, 25, 2, 383-417 (1970) · doi:10.2307/2325486
[20] Fielitz, Bd; Bhargava, Tn, The behavior of stock-price relatives-a Markovian analysis, Operations Research, 21, 6, 1183-1199 (1973) · Zbl 0267.90042 · doi:10.1287/opre.21.6.1183
[21] Forbes, Kj; Rigobon, R., No contagion, only interdependence: Measuring stock market comovements, The Journal of Finance, 57, 5, 2223-2261 (2002) · doi:10.1111/0022-1082.00494
[22] Hamao, Y.; Masulis, Rw; Ng, V., Correlations in price changes and volatility across international stock markets, Review of Financial studies, 3, 2, 281-307 (1990) · doi:10.1093/rfs/3.2.281
[23] Hansen, Pr, A test for superior predictive ability, Journal of Business Economic Statistics, 23, 4 (2005) · doi:10.1198/073500105000000063
[24] Hsu, P. H., Kuan, C. M. (2005). Re-examining the profitability of technical analysis with White’s reality check and Hansen’s spa test. Available at SSRN. https://ssrn.com/abstract=685361. Retrieve 15 June 2014.
[25] Hsu, Ph; Hsu, Yc; Kuan, Cm, Testing the predictive ability of technical analysis using a new stepwise test without data snooping bias, Journal of Empirical Finance, 17, 3, 471-484 (2010) · doi:10.1016/j.jempfin.2010.01.001
[26] Hsu, P. H., Taylor, M. P., Wang, Z. (2016). Technical trading: Is it still beating the foreign exchange market? Journal of International Economics, 102, 188-208.
[27] Kanas, A., Volatility spillovers across equity markets: European evidence, Applied Financial Economics, 8, 3, 245-256 (1998) · doi:10.1080/096031098333005
[28] Kuang, P.; Schröder, M.; Wang, Q., Illusory profitability of technical analysis in emerging foreign exchange markets, International Journal of Forecasting, 30, 2, 192-205 (2014) · doi:10.1016/j.ijforecast.2013.07.015
[29] Lai, Tl; Xing, H., Statistical models and methods for financial markets (2008), New York: Springer, New York · Zbl 1149.62086
[30] Lèbre, S.; Bourguignon, Py, An EM algorithm for estimation in the mixture transition distribution model, Journal of Statistical Computation and Simulation, 78, 8, 713-729 (2008) · Zbl 1145.62064 · doi:10.1080/00949650701266666
[31] Lo, Aw; Mackinlay, Ac, data snooping biases in tests of financial asset pricing models, Review of Financial Studies, 3, 3, 431-467 (1990) · doi:10.1093/rfs/3.3.431
[32] Mcqueen, G.; Thorley, S., Are stock returns predictable? A test using Markov chains, The Journal of Finance, 46, 1, 239-263 (1991) · doi:10.1111/j.1540-6261.1991.tb03751.x
[33] Metghalchi, M.; Marcucci, J.; Chang, Yh, Are moving average trading rules profitable? Evidence from the European stock markets, Applied Economics, 44, 12, 1539-1559 (2012) · doi:10.1080/00036846.2010.543084
[34] Mills, Tc; Jordanov, Jv, The size effect and the random walk hypothesis: Evidence from the London Stock Exchange using Markov chains, Applied Financial Economics, 13, 11, 807-815 (2003) · doi:10.1080/0960310032000116224
[35] Mitra, Sk, How rewarding is technical analysis in the Indian stock market?, Quantitative Finance, 11, 2, 287-297 (2011) · doi:10.1080/14697680903493581
[36] Natarajan, Vk; Singh, Arr; Priya, Nc, Examining mean-volatility spillovers across national stock markets, Journal of Economics Finance and Administrative Science, 19, 36, 55-62 (2014) · doi:10.1016/j.jefas.2014.01.001
[37] Neuhierl, A.; Schlusche, B., Data snooping and market-timing rule performance, Journal of Financial Econometrics, 9, 3, 550-587 (2011) · doi:10.1093/jjfinec/nbq032
[38] Nicolau, J., A New Model for Multivariate Markov Chains, Scandinavian Journal of Statistics, 41, 4, 1124-1135 (2014) · Zbl 1305.60061 · doi:10.1111/sjos.12087
[39] Niederhoffer, V.; Osborne, Mfm, Market making and reversal on the stock exchange, Journal of the American Statistical Association, 61, 316, 897-916 (1966) · doi:10.1080/01621459.1966.10482183
[40] Onwukwe, Ce; Samson, Tk, On predicting the long run behaviour of nigerian bank stocks prices: A Markov chain approach, American Journal of Applied Mathematics and Statistics, 2, 4, 212-215 (2014) · doi:10.12691/ajams-2-4-6
[41] Park, Ch; Irwin, Sh, A reality check on technical trading rule profits in the US futures markets, Journal of Futures Markets, 30, 7, 633-659 (2010)
[42] Politis, Dn; Romano, Jp, The stationary bootstrap, Journal of the American Statistical Association, 89, 428, 1303-1313 (1994) · Zbl 0814.62023 · doi:10.1080/01621459.1994.10476870
[43] Raftery, Ae, A model for high-order Markov chains, Journal of the Royal Statistical Society. Series B (Methodological), 47, 3, 528-539 (1985) · Zbl 0593.62091 · doi:10.1111/j.2517-6161.1985.tb01383.x
[44] Romano, Jp; Wolf, M., Stepwise multiple testing as formalized data snooping, Econometrica, 73, 4, 1237-1282 (2005) · Zbl 1153.62310 · doi:10.1111/j.1468-0262.2005.00615.x
[45] Shynkevich, A., Performance of technical analysis in growth and small cap segments of the US equity market, Journal of Banking Finance, 36, 1, 193-208 (2012) · doi:10.1016/j.jbankfin.2011.07.001
[46] Singh, P., Volatility spillover across major equity markets: A critical review of literature, International Journal of Research in Commerce Management, 6, 4 (2015)
[47] Sullivan, R.; Timmermann, A.; White, H., Data-snooping, technical trading rule performance, and the bootstrap, The Journal of Finance, 54, 5, 1647-1691 (1999) · doi:10.1111/0022-1082.00163
[48] Svoboda, M., Lukas, L. (2012). Application of Markov chain analysis to trend prediction of stock indices. In Proceedings of 30th international conference mathematical methods in economics. Karviná: Silesian University, School of Business Administration (pp. 848-853).
[49] Vasanthi, Drs; Subha, Drmv; Nambi, Mrs; Thirupparkadal, An Empirical study on stock index trend prediction using Markov chain analysis, Journal of Banking Financial Services and Insurance Research, 1, 72-91 (2011)
[50] White, H., A reality check for data snooping, Econometrica, 68, 5, 1097-1126 (2000) · Zbl 1008.62116 · doi:10.1111/1468-0262.00152
[51] Yu, H., Predictive ability and profitability of simple technical trading rules: Recent evidence from Southeast Asian stock markets, International Review of Economics Finance, 25, 356-371 (2013) · doi:10.1016/j.iref.2012.07.016
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