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2011 | OriginalPaper | Chapter

8. Approaches to Assess Higher Dimensional Price Volatility Co-movements

Authors : Jochen Schmitz, Oliver von Ledebur

Published in: Methods to Analyse Agricultural Commodity Price Volatility

Publisher: Springer New York

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Abstract

In this chapter two different multivariate GARCH models are used to analyse how volatility changes over time and markets. Multiple time series properties for agricultural commodities futures are analysed and non-linearity in the variance of each series is taken into account. Both implemented models are discussed in light of viability of estimation of higher dimensional time series systems. We identified patterns in volatility transmission that are of particular importance for volatility analysis and for market participants.

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Footnotes
1
This way of modelling is chosen as a standard approach. For a discussion and analysis of the variability of trends of prices and volatility, see Gilbert (2006) and Gilbert and Morgan (2010).
 
2
These restrictions are the same as in the univariate GARCH model, see Bollerslev (1986).
 
3
See footnote 2 for the restrictions of the variances to be positive.
 
Literature
go back to reference Agnolucci P. (2009). Volatility in crude oil futures: a comparison of the predictive ability of GARCH and implied volatility models. Energy Economics, 31(2), 316–321.CrossRef Agnolucci P. (2009). Volatility in crude oil futures: a comparison of the predictive ability of GARCH and implied volatility models. Energy Economics, 31(2), 316–321.CrossRef
go back to reference Bauwens L., Laurent S., Rombouts K. (2006). Multivariate GARCH models: a survey. Journal of Applied Econometrics, 21, 79–109.CrossRef Bauwens L., Laurent S., Rombouts K. (2006). Multivariate GARCH models: a survey. Journal of Applied Econometrics, 21, 79–109.CrossRef
go back to reference Bekaert G., Harvey C.L. (1995). Time-varying world market integration. Journal of Finance, 50, 403–444.CrossRef Bekaert G., Harvey C.L. (1995). Time-varying world market integration. Journal of Finance, 50, 403–444.CrossRef
go back to reference Bera A.K., Kim S. (2002). Testing constancy of correlation and other specifications of the GARCH model with application to international equity returns. Journal of Empirical Finance, 9, 171–195.CrossRef Bera A.K., Kim S. (2002). Testing constancy of correlation and other specifications of the GARCH model with application to international equity returns. Journal of Empirical Finance, 9, 171–195.CrossRef
go back to reference Bollerslev T. (1986). Generalized autoregressive conditional heteroscedasticity. Journal of Econometrics, 31, 307–327.CrossRef Bollerslev T. (1986). Generalized autoregressive conditional heteroscedasticity. Journal of Econometrics, 31, 307–327.CrossRef
go back to reference Bollerslev T. (1990). Modelling the coherence in short-run nominal exchange rates: a multivariate generalized ARCH model. The Review of Economics and Statistics, 72(3), 498–505.CrossRef Bollerslev T. (1990). Modelling the coherence in short-run nominal exchange rates: a multivariate generalized ARCH model. The Review of Economics and Statistics, 72(3), 498–505.CrossRef
go back to reference Bollerslev T., Chou R., Kroner K. (1992). ARCH modelling in finance: a review of the theory and empirical evidence. Journal of Econometrics, 52, 5–59.CrossRef Bollerslev T., Chou R., Kroner K. (1992). ARCH modelling in finance: a review of the theory and empirical evidence. Journal of Econometrics, 52, 5–59.CrossRef
go back to reference Bollerslev T., Engle R. (1993). Common persistence in conditional variances. Econometrica, 61, 167–186.CrossRef Bollerslev T., Engle R. (1993). Common persistence in conditional variances. Econometrica, 61, 167–186.CrossRef
go back to reference Bollerslev T., Engle R., Wooldridge J. (1988). A capital asset pricing model with time varying covariance. Journal of Political Economy, 96, 116–131.CrossRef Bollerslev T., Engle R., Wooldridge J. (1988). A capital asset pricing model with time varying covariance. Journal of Political Economy, 96, 116–131.CrossRef
go back to reference Crain S.J., Lee J.H. (1996). Volatility in wheat spot and futures markets, 1950–1993: government farm programs, seasonality, and causality. The Journal of Finance, 51, 325–343.CrossRef Crain S.J., Lee J.H. (1996). Volatility in wheat spot and futures markets, 1950–1993: government farm programs, seasonality, and causality. The Journal of Finance, 51, 325–343.CrossRef
go back to reference Engle R. (1982). Autoregressive conditional heteroscedasticity with estimates of the variance of UK inflation. Econometrica, 50, 987–1008.CrossRef Engle R. (1982). Autoregressive conditional heteroscedasticity with estimates of the variance of UK inflation. Econometrica, 50, 987–1008.CrossRef
go back to reference Engle R. (2002). Dynamic conditional correlation – a simple class of multivariate GARCH models. Journal of Business and Economic Statistics, 20, 339–350.CrossRef Engle R. (2002). Dynamic conditional correlation – a simple class of multivariate GARCH models. Journal of Business and Economic Statistics, 20, 339–350.CrossRef
go back to reference Engle R., Kroner K. (1995). Multivariate simultaneous generalized ARCH. Econometric Theory, 11, 122–150.CrossRef Engle R., Kroner K. (1995). Multivariate simultaneous generalized ARCH. Econometric Theory, 11, 122–150.CrossRef
go back to reference Engle R., Ng V.K., Rothschild M. (1990). Asset pricing with a factor-ARCH covariance structure: empirical estimates for treasury bills. Journal of Econometrics, 45, 213–238.CrossRef Engle R., Ng V.K., Rothschild M. (1990). Asset pricing with a factor-ARCH covariance structure: empirical estimates for treasury bills. Journal of Econometrics, 45, 213–238.CrossRef
go back to reference Ewing B.T., Malik F., Ozfidan O. (2002). Volatility transmission in the oil and natural gas markets. Energy Economics, 24, 525–538.CrossRef Ewing B.T., Malik F., Ozfidan O. (2002). Volatility transmission in the oil and natural gas markets. Energy Economics, 24, 525–538.CrossRef
go back to reference Gilbert C.L. (2006). Trends and volatility in agricultural commodity prices. In Agricultural commodity markets and trade new approaches to analyzing market structure and instability. UN. FAO – Food and Agriculture Organization of the United Nations and Edward Elgar (Eds.). Cheltenham (MA): Edward Elgar, 31–60. Gilbert C.L. (2006). Trends and volatility in agricultural commodity prices. In Agricultural commodity markets and trade new approaches to analyzing market structure and instability. UN. FAO – Food and Agriculture Organization of the United Nations and Edward Elgar (Eds.). Cheltenham (MA): Edward Elgar, 31–60.
go back to reference Gilbert C.L., Morgan C.W. (2010). Trends in food price volatility. Paper prepared for an EC – Institute for Prospective Technological Studies workshop on Methods to Analyse Price Volatility, Seville, Spain, 28–29 January 2010. The paper is a revised version of Driver Review DR 18: Food Price Volatility prepared for the UK’s Foresight Food and Farming Review. Gilbert C.L., Morgan C.W. (2010). Trends in food price volatility. Paper prepared for an EC – Institute for Prospective Technological Studies workshop on Methods to Analyse Price Volatility, Seville, Spain, 28–29 January 2010. The paper is a revised version of Driver Review DR 18: Food Price Volatility prepared for the UK’s Foresight Food and Farming Review.
go back to reference Glosten L.R., Jagannathan R., Runkle D.R. (1993). On the relationship between expected value and the volatility of the nominal excess return on stocks. Journal of Finance, 48, 1779–1801.CrossRef Glosten L.R., Jagannathan R., Runkle D.R. (1993). On the relationship between expected value and the volatility of the nominal excess return on stocks. Journal of Finance, 48, 1779–1801.CrossRef
go back to reference Goodwin B.K., Schnepf R. (2000). Determinants of endogenous price risk in corn and wheat futures markets. Journal of Futures Markets, 20, 753–774.CrossRef Goodwin B.K., Schnepf R. (2000). Determinants of endogenous price risk in corn and wheat futures markets. Journal of Futures Markets, 20, 753–774.CrossRef
go back to reference Hamao Y., Masulis R.W., Ng V.K. (1990). Correlation in price changes and volatility across international stock markets. Review of Financial Studies, 3, 281–307.CrossRef Hamao Y., Masulis R.W., Ng V.K. (1990). Correlation in price changes and volatility across international stock markets. Review of Financial Studies, 3, 281–307.CrossRef
go back to reference Harvey A.C., Ruiz E., Shepard N. (1994). Multivariate stochastic variance models. Review of Economic Studies, 61, 247–264.CrossRef Harvey A.C., Ruiz E., Shepard N. (1994). Multivariate stochastic variance models. Review of Economic Studies, 61, 247–264.CrossRef
go back to reference Heston S. (1993). A closed-form solution for options with stochastic volatility with applications to bond and currency options. Review of Financial Studies, 6, 327–343.CrossRef Heston S. (1993). A closed-form solution for options with stochastic volatility with applications to bond and currency options. Review of Financial Studies, 6, 327–343.CrossRef
go back to reference Kroner F.K., Ng V.K. (1998). Modelling asymmetric co-movements of asset returns. Review of Financial Studies, 11, 817–844.CrossRef Kroner F.K., Ng V.K. (1998). Modelling asymmetric co-movements of asset returns. Review of Financial Studies, 11, 817–844.CrossRef
go back to reference Lunde A., Hansen P.R. (2005). A forecast comparison of volatility models: does anything beat a GARCH(1,1)? Journal of Applied Econometrics, 20(7), 873–889.CrossRef Lunde A., Hansen P.R. (2005). A forecast comparison of volatility models: does anything beat a GARCH(1,1)? Journal of Applied Econometrics, 20(7), 873–889.CrossRef
go back to reference Nelson D. (1991). Conditional heteroskedasticity in asset returns: a new approach. Econometrica, 59, 349–370.CrossRef Nelson D. (1991). Conditional heteroskedasticity in asset returns: a new approach. Econometrica, 59, 349–370.CrossRef
go back to reference Sadorsky P. (2006). Modeling and forecasting petroleum futures volatility. Energy Economics, 28(4), 467–488.CrossRef Sadorsky P. (2006). Modeling and forecasting petroleum futures volatility. Energy Economics, 28(4), 467–488.CrossRef
go back to reference Taylor S. (2005). Asset price dynamics, volatility, and prediction. Princeton, NJ: Princeton University Press. Taylor S. (2005). Asset price dynamics, volatility, and prediction. Princeton, NJ: Princeton University Press.
Metadata
Title
Approaches to Assess Higher Dimensional Price Volatility Co-movements
Authors
Jochen Schmitz
Oliver von Ledebur
Copyright Year
2011
Publisher
Springer New York
DOI
https://doi.org/10.1007/978-1-4419-7634-5_8