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Temporal Aggregation and Convergence to the Law of One Price: Evidence from Micro Data


  • Andres Elberg

    () (Facultad de Economía y Empresa, Universidad Diego Portales)


Estimates of speed of convergence towards the Law of One Price (LOP) are potentially afflicted by three sources of bias: temporal aggregation; aggregation across goods; and short samples. I empirically assess the importance of temporal aggregation bias (while accounting for the other two sources of bias) using a novel dataset of weekly-sampled retail prices. I find that temporal aggregation can severely bias estimates of persistence in relative prices. Using quarterly aggregated data can overestimate the half-life of deviations from the LOP by a factor exceeding 2. In contrast, I do not find evidence that aggregation across goods biases persistence estimates.

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  • Andres Elberg, 2014. "Temporal Aggregation and Convergence to the Law of One Price: Evidence from Micro Data," Working Papers 53, Facultad de Economía y Empresa, Universidad Diego Portales.
  • Handle: RePEc:ptl:wpaper:53

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    1. Richardson, J. David, 1978. "Some empirical evidence on commodity arbitrage and the law of one price," Journal of International Economics, Elsevier, vol. 8(2), pages 341-351, May.
    2. Jean Imbs & Haroon Mumtaz & Morten O. Ravn & Hélène Rey, 2005. "PPP Strikes Back: Aggregation And the Real Exchange Rate," The Quarterly Journal of Economics, Oxford University Press, vol. 120(1), pages 1-43.
    3. So, Beong Soo & Shin, Dong Wan, 1999. "Recursive mean adjustment in time-series inferences," Statistics & Probability Letters, Elsevier, vol. 43(1), pages 65-73, May.
    4. Andrea Silvestrini & David Veredas, 2008. "Temporal Aggregation Of Univariate And Multivariate Time Series Models: A Survey," Journal of Economic Surveys, Wiley Blackwell, vol. 22(3), pages 458-497, July.
    5. Pinelopi Koujianou Goldberg & Michael M. Knetter, 1997. "Goods Prices and Exchange Rates: What Have We Learned?," Journal of Economic Literature, American Economic Association, vol. 35(3), pages 1243-1272, September.
    6. Matei Demetrescu & Uwe Hassler & Adina-Ioana Tarcolea, 2006. "Combining Significance of Correlated Statistics with Application to Panel Data," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 68(5), pages 647-663, October.
    7. Andrews, Donald W K & Chen, Hong-Yuan, 1994. "Approximately Median-Unbiased Estimation of Autoregressive Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 12(2), pages 187-204, April.
    8. Janet Ceglowski, 2003. "The law of one price: intranational evidence for Canada," Canadian Journal of Economics, Canadian Economics Association, vol. 36(2), pages 373-400, May.
    9. Sarno, Lucio & Taylor, Mark P., 1998. "Real exchange rates under the recent float: unequivocal evidence of mean reversion," Economics Letters, Elsevier, vol. 60(2), pages 131-137, August.
    10. MarioJ. Crucini & Mototsugu Shintani & Takayuki Tsuruga, 2010. "The Law of One Price without the Border: The Role of Distance versus Sticky Prices," Economic Journal, Royal Economic Society, vol. 120(544), pages 462-480, May.
    11. Chambers, Marcus J., 2005. "The purchasing power parity puzzle, temporal aggregation, and half-life estimation," Economics Letters, Elsevier, vol. 86(2), pages 193-198, February.
    12. Mario J. Crucini & Chris I. Telmer & Marios Zachariadis, 2005. "Understanding European Real Exchange Rates," American Economic Review, American Economic Association, vol. 95(3), pages 724-738, June.
    13. David C. Parsley & Shang-Jin Wei, 1996. "Convergence to the Law of One Price Without Trade Barriers or Currency Fluctuations," The Quarterly Journal of Economics, Oxford University Press, vol. 111(4), pages 1211-1236.
    14. Choi, Chi-Young & Mark, Nelson C. & Sul, Donggyu, 2006. "Unbiased Estimation of the Half-Life to PPP Convergence in Panel Data," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 38(4), pages 921-938, June.
    15. Crucini, Mario J. & Shintani, Mototsugu, 2008. "Persistence in law of one price deviations: Evidence from micro-data," Journal of Monetary Economics, Elsevier, vol. 55(3), pages 629-644, April.
    16. Taylor, Mark P. & Sarno, Lucio, 1998. "The behavior of real exchange rates during the post-Bretton Woods period," Journal of International Economics, Elsevier, vol. 46(2), pages 281-312, December.
    17. C. Simon Fan & Xiangdong Wei, 2006. "The Law of One Price: Evidence from the Transitional Economy of China," The Review of Economics and Statistics, MIT Press, vol. 88(4), pages 682-697, November.
    18. Virgiliu Midrigan, 2011. "Menu Costs, Multiproduct Firms, and Aggregate Fluctuations," Econometrica, Econometric Society, vol. 79(4), pages 1139-1180, July.
    19. Serena Ng & Pierre Perron, 2001. "LAG Length Selection and the Construction of Unit Root Tests with Good Size and Power," Econometrica, Econometric Society, vol. 69(6), pages 1519-1554, November.
    20. Choi, In, 2001. "Unit root tests for panel data," Journal of International Money and Finance, Elsevier, vol. 20(2), pages 249-272, April.
    21. Etienne Gagnon, 2009. "Price Setting during Low and High Inflation: Evidence from Mexico," The Quarterly Journal of Economics, Oxford University Press, vol. 124(3), pages 1221-1263.
    22. Martin Eichenbaum & Nir Jaimovich & Sergio Rebelo, 2011. "Reference Prices, Costs, and Nominal Rigidities," American Economic Review, American Economic Association, vol. 101(1), pages 234-262, February.
    23. Andres Elberg, 2014. "Heterogeneous Price Dynamics, Synchronization, and Retail Chains: Evidence from Scanner Data," Working Papers 52, Facultad de Economía y Empresa, Universidad Diego Portales.
    24. Isard, Peter, 1977. "How Far Can We Push the "Law of One Price"?," American Economic Review, American Economic Association, vol. 67(5), pages 942-948, December.
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