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Is CPI generated from stationary process? An investigation on unit root hypothesis of India’s CPI

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  • Azimi, Mohammad Naim

Abstract

In this paper, the Consumer Price Index (CPI) of India is tested on whether it is generated from a stationary process for the purpose of which, a set of time series data on CPI with 4,420 observation arranged on daily basis from November 10, 2003 to December 16, 2015 is retrieved from the official website of National Bureau of Economic Research. The testing procedure includes fitted OLS regression on which the Augmented Dickey Fuller (ADF) and Phillips-Perron (PP) unit root test are computed. The statistical analysis of both ADF and PP exhibit a smaller test statistic value for CPI than the critical value at 0.05 which means that CPI is not generated from a stationary process and it follows unit root at level, though, it does not follow unit root and it is stationary at its first difference. Therefore, we reject the null hypothesis in favor of the alternative.

Suggested Citation

  • Azimi, Mohammad Naim, 2015. "Is CPI generated from stationary process? An investigation on unit root hypothesis of India’s CPI," MPRA Paper 69518, University Library of Munich, Germany, revised 03 Jan 2016.
    • Handle: RePEc:pra:mprapa:69518
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    References listed on IDEAS

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    1. Romero-Ávila, Diego & Usabiaga, Carlos, 2009. "The hypothesis of a unit root in OECD inflation revisited," Journal of Economics and Business, Elsevier, vol. 61(2), pages 153-161.
    2. Saikkonen, Pentti & Lütkepohl, Helmut, 2002. "Testing For A Unit Root In A Time Series With A Level Shift At Unknown Time," Econometric Theory, Cambridge University Press, vol. 18(2), pages 313-348, April.
    3. Christopher F Baum, 2005. "Stata: The language of choice for time-series analysis?," Stata Journal, StataCorp LLC, vol. 5(1), pages 46-63, March.
    4. Saha, Shrabani & Zhang, Zhaoyong, 2013. "Do exchange rates affect consumer prices? A comparative analysis for Australia, China and India," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 93(C), pages 128-138.
    5. Im, Kyung So & Pesaran, M. Hashem & Shin, Yongcheol, 2003. "Testing for unit roots in heterogeneous panels," Journal of Econometrics, Elsevier, vol. 115(1), pages 53-74, July.
    6. Bolton, Lisa E & Warlop, Luk & Alba, Joseph W, 2003. "Consumer Perceptions of Price (Un)Fairness," Journal of Consumer Research, Journal of Consumer Research Inc., vol. 29(4), pages 474-491, March.
    7. Whitney Newey & Kenneth West, 2014. "A simple, positive semi-definite, heteroscedasticity and autocorrelation consistent covariance matrix," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 33(1), pages 125-132.
    8. MacKinnon, James G, 1994. "Approximate Asymptotic Distribution Functions for Unit-Root and Cointegration Tests," Journal of Business & Economic Statistics, American Statistical Association, vol. 12(2), pages 167-176, April.
    9. W. Erwin Diewert, 1998. "Index Number Issues in the Consumer Price Index," Journal of Economic Perspectives, American Economic Association, vol. 12(1), pages 47-58, Winter.
    10. Perron, Pierre, 1990. "Testing for a Unit Root in a Time Series with a Changing Mean," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(2), pages 153-162, April.
    11. Dickey, David A & Fuller, Wayne A, 1981. "Likelihood Ratio Statistics for Autoregressive Time Series with a Unit Root," Econometrica, Econometric Society, vol. 49(4), pages 1057-1072, June.
    12. Perron, Pierre & Vogelsang, Timothy J, 1992. "Testing for a Unit Root in a Time Series with a Changing Mean: Corrections and Extensions," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(4), pages 467-470, October.
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    More about this item

    Keywords

    CPI; Unit Root; Stationary Process; Augmented Dickey Fuller; Philips-Perron;
    All these keywords.

    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C41 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Duration Analysis; Optimal Timing Strategies

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