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Stationary parameterization of GARCH processes

Author

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  • Tucker S McElroy

    (U.S. Census Bureau)

Abstract

We propose using the multivariate logistic transform to re-parameterize the Autoregressive Conditionally Heteroscedastic model such that the necessary stationarity constraints are automatically imposed, thereby allowing for unconstrained optimization when computing quasi-maximum likelihood estimates. A few simulations and a standard R data set of daily closing prices (Germany DAX) provide illustrations of the re-parameterization. We offer some numerical comparisons to available R packages (fgarch and rugarch), and comment on the potential advantages of the new technique.

Suggested Citation

  • Tucker S McElroy, 2022. "Stationary parameterization of GARCH processes," Economics Bulletin, AccessEcon, vol. 42(4), pages 1908-1930.
    • Handle: RePEc:ebl:ecbull:eb-21-01162
    as

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    References listed on IDEAS

    as
    1. Erik HernæS & Zhiyang Jia, 2013. "Earnings Distribution and Labour Supply after a Retirement Earnings Test Reform," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 75(3), pages 410-434, June.
    2. Richard Disney & Sarah Smith, 2002. "The Labour Supply Effect of the Abolition of the Earnings Rule for Older Workers in the United Kingdom," Economic Journal, Royal Economic Society, vol. 112(478), pages 136-152, March.
    3. Song, Jae G. & Manchester, Joyce, 2007. "New evidence on earnings and benefit claims following changes in the retirement earnings test in 2000," Journal of Public Economics, Elsevier, vol. 91(3-4), pages 669-700, April.
    4. Tiago Freire, 2018. "Wage Subsidies And The Labor Supply Of Older People: Evidence From Singapore’S Workfare Income Supplement Scheme," The Singapore Economic Review (SER), World Scientific Publishing Co. Pte. Ltd., vol. 63(05), pages 1101-1139, December.
    5. Steven J. Haider & David S. Loughran, 2008. "The Effect of the Social Security Earnings Test on Male Labor Supply: New Evidence from Survey and Administrative Data," Journal of Human Resources, University of Wisconsin Press, vol. 43(1).
    6. Leora Friedberg, 2000. "The Labor Supply Effects of the Social Security Earnings Test," The Review of Economics and Statistics, MIT Press, vol. 82(1), pages 48-63, February.
    7. Laun, Lisa, 2017. "The effect of age-targeted tax credits on labor force participation of older workers," Journal of Public Economics, Elsevier, vol. 152(C), pages 102-118.
    8. Andrew Carter & Robert Breunig, 2019. "Do Earned Income Tax Credits for Older Workers Prolong Labour Market Participation and Boost Earned Income? Evidence from Australia's Mature Age Worker Tax Offset," The Economic Record, The Economic Society of Australia, vol. 95(309), pages 200-226, June.
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    More about this item

    Keywords

    Conditional Heteroscedasticity; Stationarity; Time Series;
    All these keywords.

    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
    • C5 - Mathematical and Quantitative Methods - - Econometric Modeling

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