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A generalised stochastic volatility in mean VAR

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  • Haroon Mumtaz

    (Queen Mary University of London)

Abstract

This paper introduces a VAR with stochastic volatility in mean where the residuals of the volatility equations and the observation equations are allowed to be correlated. This implies that exogeneity of shocks to volatility is not assumed apriori and structural shocks can be identified ex-post by applying standard SVAR techniques. The paper provides a Gibbs algorithm to approximate the posterior distribution and demonstrates the proposed methods by estimating the impact of financial uncertainty shocks on the US economy.

Suggested Citation

  • Haroon Mumtaz, 2018. "A generalised stochastic volatility in mean VAR," Working Papers 855, Queen Mary University of London, School of Economics and Finance.
    • Handle: RePEc:qmw:qmwecw:855
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    File URL: https://www.qmul.ac.uk/sef/media/econ/research/workingpapers/2017/items/wp855.pdf
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    References listed on IDEAS

    as
    1. Haroon Mumtaz & Francesco Zanetti, 2013. "The Impact of the Volatility of Monetary Policy Shocks," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 45(4), pages 535-558, June.
    2. Timothy Cogley & Thomas J. Sargent, 2005. "Drift and Volatilities: Monetary Policies and Outcomes in the Post WWII U.S," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 8(2), pages 262-302, April.
    3. Marta Banbura & Domenico Giannone & Lucrezia Reichlin, 2010. "Large Bayesian vector auto regressions," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 25(1), pages 71-92.
    4. Harald Uhlig, 2004. "What moves GNP?," Econometric Society 2004 North American Winter Meetings 636, Econometric Society.
    5. 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.
    6. Marta Bańbura, 2008. "Large Bayesian VARs," 2008 Meeting Papers 334, Society for Economic Dynamics.
    7. Robert J. Gordon, 1986. "The American Business Cycle: Continuity and Change," NBER Books, National Bureau of Economic Research, Inc, number gord86-1, March.
    8. 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.
    9. 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.
    10. Soojin Jo, 2014. "The Effects of Oil Price Uncertainty on Global Real Economic Activity," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 46(6), pages 1113-1135, September.
    11. 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.
    12. repec:mcb:jmoncb:v:45:y:2013:i::p:535-558 is not listed on IDEAS
    13. Robert J. Gordon, 1986. "Front matter, The American Business Cycle. Continuity and Change," NBER Chapters, in: The American Business Cycle: Continuity and Change, pages -15, National Bureau of Economic Research, Inc.
    Full references (including those not matched with items on IDEAS)

    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:

    • C2 - Mathematical and Quantitative Methods - - Single Equation Models; Single 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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