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Multivariate time-varying parameter modelling for stock markets

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Abstract

This paper evaluates the appropriateness of a Linear Market Model (LMM) which allows for systematic covariance (beta) risk. The performance of LMM will be compared against two extensions, a comparison having yet to be undertaken in the literature. The first extension is the Time-varying Linear Market Model (Tv-LMM) which allows for time-varying systematic covariance risk in the form of a mean reverting state space model via the Kalman filter. The second extension is the multivariate Time-varying Linear Market Model (MTv-LMM) which allows for the time-varying systematic covariance risk of country stock market correlation structure via the multivariate KFMR. The comparison between LMM, Tv-LMM and MTv-LMM, is implemented utilising weekly data collected from several developed and emerging markets for the periods; before and after financial crisis in October 2008, and forecasting 2 years forwards. The empirical findings of that process overwhelmingly support the use of the Multivariate Time-varying Linear Market Model (MTv-LMM) when modelling and forecasting stock market returns, especially for developed stock markets.

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References

  • Algieri B (2012) Price volatility, speculation and excessive speculation in commodity markets: sheep or shepherd behaviour? ZEF-Discuss Pap Dev Policy No 166:1–40

    Google Scholar 

  • Barnett A, Mumtaz H, Theodoridis K (2014) Forecasting UK GDP growth and inflation under structural change: a comparison of models with time-varying parameters. Int J Forecast 30(1):129–143

    Article  Google Scholar 

  • Bekaert G, Harvey CR (1997) Emerging equity market volatility. NBER working papers 5307, National Bureau of Economic Research, Inc

  • Bos T, Newbold P (1984) An empirical investigation of the possibility of stochastic systematic risk in the market model. J Bus 57(1):35–41

    Article  Google Scholar 

  • Brooks RD, Faff RW, Lee JHH (1992) The form of time variation of systematic risk: some Australian evidence. Appl Financ Econ 2(4):191–198

    Article  Google Scholar 

  • Brooks RD, Faff RW, McKenzie MD (1998) Time-varying beta risk of Australian industry portfolios: a comparison of modelling techniques. Aust J Manag 23(1):1–22

    Article  Google Scholar 

  • Brooks RD, Faff RW, McKenzie MD (2002) Time varying country risk: an assessment of alternative modelling techniques. Eur J Finance 8(3):249–274

    Article  Google Scholar 

  • Campbell J, Lo A, MacKinlay A (1997) The econometrics of financial markets. Princeton University Press, Princeton

    Book  Google Scholar 

  • Chiang TC, Jeon BN, Li H (2007) Dynamic correlation analysis of financial contagion: evidence from Asian markets. J Int Money Finance 26(7):1206–1228

    Article  Google Scholar 

  • Choudhry T, Wu H (2009) Forecasting ability of GARCH vs Kalman Filter method: evidence from daily UK time-varying beta. Eur J Finance 15(4):437–444

    Article  Google Scholar 

  • Diebold F, Mariano R (1995) Comparing predictive accuracy. J Bus Econ Stat 13(3):253–263

    Google Scholar 

  • Doeswijk R, Lam T, Swinkels L (2019) Historical returns of the market portfolio. Rev Asset Pricing Stud https://doi.org/10.1093/rapstu/raz010

  • Duffie D, Skeie DR, Vickery J (2013) A sampling-window approach to transactions-based Libor fixing. Tech. Rep. 596, Federal Reserve Bank of New York

  • Faff RW, Lee JH, Fry TRL (1992) Time stationarity of systematic risk: some Australian evidence. J Bus Finance Acc 19(2):253–270

    Article  Google Scholar 

  • Faff RW, Hillier D, Hillier J (2000) Time varying beta risk: an analysis of alternative modelling techniques. J Bus Finance Acc 27(5–6):523–554

    Article  Google Scholar 

  • Gibbons MR, Ross SA, Shanken J (1989) A test of the efficiency of a given portfolio. Econometrica 57(5):1121–1152

    Article  Google Scholar 

  • Hansen LP, Jagannathan R (1997) Assessing specification errors in stochastic discount factor models. J Finance 52(2):557–590

    Article  Google Scholar 

  • Harvey CR (1995) Predictable risk and returns in emerging markets. Working paper 4621, National Bureau of Economic Research

  • Jayasuriya SA (2011) Stock market correlations between China and its emerging market neighbors. Emerg Mark Rev 12(4):418–431

    Article  Google Scholar 

  • Kalman RE (1960) A new approach to linear filtering and prediction problems. Trans ASME J Basic Eng 82(Series D):35–45

    Article  Google Scholar 

  • Kim D (1993) The extent of nonstationarity of beta. Revi Quant Finance Acc 3(2):241–254

    Article  Google Scholar 

  • Lintner J (1965) The valuation of risk assets and the selection of risky investments in stock portfolios and capital budgets. Rev Econ Stat 47(1):13–37

    Article  Google Scholar 

  • Mackinlay AC, Richardson MP (1991) Using generalized method of moments to test mean-variance efficiency. J Finance 46(2):511–527

    Article  Google Scholar 

  • Malliaris M (2012) Comparison of currency movement before and after October 2008. J Econ Asymmetries 9(2):45–57

    Article  Google Scholar 

  • Markowitz H (1952) Portfolio selection. J Finance 7(1):77–91

    Google Scholar 

  • Mergner S (2009) Applications of State Space Model in Finance. Universitätsverlag Gőttingen

  • Mergner S, Bulla J (2008) Time-varying beta risk of pan-European industry portfolios: a comparison of alternative modeling techniques. Eur J Finance 14(8):771–802

    Article  Google Scholar 

  • Mossin J (1966) Equilibrium in a capital asset market. Econometrica 34(4):768–783

    Article  Google Scholar 

  • Neslihanoglu S (2014) Validating and extending the two-moment capital asset pricing model for financial time series. Ph.D. thesis, The School of Mathematics and Statistics, The University of Glasgow, Glasgow, UK

  • Neslihanoglu S, Sogiakas V, McColl JH, Lee D (2016) Nonlinearities in the capm: evidence from developed and emerging markets. J Forecast 36(8):867–897

    Article  Google Scholar 

  • Odabasi A (2003) Some estimation issues on betas: a preliminary investigation in the Istanbul Stock Exchange. Bogazici J Rev Soc Econ Admin Stud 17(2):1–11

    Google Scholar 

  • Saleem K (2009) International linkage of the Russian market and the Russian financial crisis: a multivariate GARCH analysis. Res Int Bus Finance 23(3):243–256

    Article  Google Scholar 

  • Santos AA, Moura GV (2014) Dynamic factor multivariate GARCH model. Comput Stat Data Anal 76:606–617

    Article  Google Scholar 

  • Sharpe WF (1964) Capital asset prices: a theory of market equilibrium under conditions of risk. J Finance 19(3):425–442

    Google Scholar 

  • Takatoshi I, Wen-Ling L (1993) Price volatility and volume spillovers between the Tokyo and New York stock markets. Working Paper 4592, National Bureau of Economic Research

  • Wang P, Moore T (2008) Stock market integration for the transition economics: time-varying conditional correlation approach. Manch Sch 76:116–133

    Article  Google Scholar 

  • Yavas BF (2007) Benefits of international portfolio diversification. Graziadio Bus Rev 10(2)

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Correspondence to Serdar Neslihanoglu.

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Neslihanoglu, S., Bekiros, S., McColl, J. et al. Multivariate time-varying parameter modelling for stock markets. Empir Econ 61, 947–972 (2021). https://doi.org/10.1007/s00181-020-01896-2

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