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A generalised stochastic volatility in mean VAR

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  • Mumtaz, Haroon

Abstract

This note introduces a VAR with stochastic volatility in mean where the shocks of the volatility equations and the observation equations are allowed to be correlated. We provide a Gibbs algorithm to approximate the posterior distribution and demonstrate the proposed methods by estimating the impact of financial uncertainty shocks on the US economy.

Suggested Citation

  • Mumtaz, Haroon, 2018. "A generalised stochastic volatility in mean VAR," Economics Letters, Elsevier, vol. 173(C), pages 10-14.
    • Handle: RePEc:eee:ecolet:v:173:y:2018:i:c:p:10-14
    DOI: 10.1016/j.econlet.2018.08.044
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    References listed on IDEAS

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    1. Siem Jan Koopman & Eugenie Hol Uspensky, 2002. "The stochastic volatility in mean model: empirical evidence from international stock markets," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 17(6), pages 667-689, December.
    2. Christophe Andrieu & Arnaud Doucet & Roman Holenstein, 2010. "Particle Markov chain Monte Carlo methods," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 72(3), pages 269-342, June.
    3. David J. Spiegelhalter & Nicola G. Best & Bradley P. Carlin & Angelika Van Der Linde, 2002. "Bayesian measures of model complexity and fit," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 64(4), pages 583-639, October.
    4. Omori, Yasuhiro & Chib, Siddhartha & Shephard, Neil & Nakajima, Jouchi, 2007. "Stochastic volatility with leverage: Fast and efficient likelihood inference," Journal of Econometrics, Elsevier, vol. 140(2), pages 425-449, October.
    5. Sydney C. Ludvigson & Sai Ma & Serena Ng, 2021. "Uncertainty and Business Cycles: Exogenous Impulse or Endogenous Response?," American Economic Journal: Macroeconomics, American Economic Association, vol. 13(4), pages 369-410, October.
    6. Harald Uhlig, 2004. "What moves GNP?," Econometric Society 2004 North American Winter Meetings 636, Econometric Society.
    7. Michael Pitt & Sheheryar Malik & Arnaud Doucet, 2014. "Simulated likelihood inference for stochastic volatility models using continuous particle filtering," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 66(3), pages 527-552, June.
    8. Haroon Mumtaz & Paolo Surico, 2018. "Policy uncertainty and aggregate fluctuations," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 33(3), pages 319-331, April.
    9. Jacquier, Eric & Polson, Nicholas G. & Rossi, P.E.Peter E., 2004. "Bayesian analysis of stochastic volatility models with fat-tails and correlated errors," Journal of Econometrics, Elsevier, vol. 122(1), pages 185-212, September.
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    Citations

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    Cited by:

    1. Mumtaz, Haroon & Theodoridis, Konstantinos, 2020. "Dynamic effects of monetary policy shocks on macroeconomic volatility," Journal of Monetary Economics, Elsevier, vol. 114(C), pages 262-282.
    2. Mehmet Balcilar & Rangan Gupta & Theshne Kisten, 2020. "The Impact of Uncertainty Shocks in South Africa: The Role of Financial Regimes," Working Papers 202046, University of Pretoria, Department of Economics.
    3. Liu, Xiaochun, 2021. "On fiscal and monetary policy-induced macroeconomic volatility dynamics," Journal of Economic Dynamics and Control, Elsevier, vol. 127(C).
    4. Haroon Mumtaz, 2020. "A Generalised Stochastic Volatility in Mean VAR. An Updated Algorithm," Working Papers 908, Queen Mary University of London, School of Economics and Finance.
    5. Harrison, Andre & Liu, Xiaochun & Stewart, Shamar L., 2023. "Structural sources of oil market volatility and correlation dynamics," Energy Economics, Elsevier, vol. 121(C).
    6. Antonio M. Conti & Elisa Guglielminetti & Marianna Riggi, 2019. "Labour productivity and the wageless recovery," Temi di discussione (Economic working papers) 1257, Bank of Italy, Economic Research and International Relations Area.
    7. Xu, Qinhua & Fu, Buben & Wang, Bin, 2022. "The effects of oil price uncertainty on China’s economy," Energy Economics, Elsevier, vol. 107(C).
    8. Joseph P Byrne & Erkal Ersoy, 2020. "Endogenous Uncertainty in the Oil Market: A Bayesian Stochastic Volatility-in-Mean Analysis," CEERP Working Paper Series 012, Centre for Energy Economics Research and Policy, Heriot-Watt University.
    9. Dario Caldara & Chiara Scotti & Molin Zhong, 2021. "Macroeconomic and Financial Risks: A Tale of Mean and Volatility," International Finance Discussion Papers 1326, Board of Governors of the Federal Reserve System (U.S.).

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    More about this item

    Keywords

    VAR; Stochastic volatility in mean; Error covariance;
    All these keywords.

    JEL classification:

    • C3 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables
    • C11 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Bayesian Analysis: General
    • E3 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles

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