IDEAS home Printed from https://ideas.repec.org/p/fip/fedgfe/2019-75.html
   My bibliography  Save this paper

In Search of Lost Time Aggregation

Author

Abstract

In 1960, Working noted that time aggregation of a random walk induces serial correlation in the first difference that is not present in the original series. This important contribution has been overlooked in a recent literature analyzing income and consumption in panel data. I examine Blundell, Pistaferri and Preston (2008) as an important example for which time aggregation has quantitatively large effects. Using new techniques to correct for the problem, I find the estimate for the partial insurance to transitory shocks, originally estimated to be 0.05, increases to 0.24. This larger estimate resolves the dissonance between the low partial consumption insurance estimates of Blundell, Pistaferri and Preston (2008) and the high marginal propensities to consume found in the natural experiment literature.

Suggested Citation

  • Edmund Crawley, 2019. "In Search of Lost Time Aggregation," Finance and Economics Discussion Series 2019-075, Board of Governors of the Federal Reserve System (U.S.).
  • Handle: RePEc:fip:fedgfe:2019-75
    DOI: 10.17016/FEDS.2019.075
    as

    Download full text from publisher

    File URL: https://www.federalreserve.gov/econres/feds/files/2019075pap.pdf
    Download Restriction: no

    File URL: https://libkey.io/10.17016/FEDS.2019.075?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. John Sabelhaus & David Johnson & Stephen Ash & David Swanson & Thesia I. Garner & John Greenlees & Steve Henderson, 2014. "Is the Consumer Expenditure Survey Representative by Income?," NBER Chapters, in: Improving the Measurement of Consumer Expenditures, pages 241-262, National Bureau of Economic Research, Inc.
    2. Drost, Feike C & Nijman, Theo E, 1993. "Temporal Aggregation of GARCH Processes," Econometrica, Econometric Society, vol. 61(4), pages 909-927, July.
    3. Claudia R. Sahm & Matthew D. Shapiro & Joel Slemrod, 2010. "Household Response to the 2008 Tax Rebate: Survey Evidence and Aggregate Implications," NBER Chapters, in: Tax Policy and the Economy, Volume 24, pages 69-110, National Bureau of Economic Research, Inc.
    4. Jeanne Commault, 2016. "How Does Nondurable Consumption Respond To Transitory Income Shocks? Reconciling Natural Experiments and Structural Estimations," Working Papers hal-01328904, HAL.
    5. Edmund Crawley & Andreas Kuchler, 2020. "Consumption Heterogeneity: Micro Drivers and Macro Implications," Finance and Economics Discussion Series 2020-005, Board of Governors of the Federal Reserve System (U.S.).
    6. Tullio Jappelli & Luigi Pistaferri, 2014. "Fiscal Policy and MPC Heterogeneity," American Economic Journal: Macroeconomics, American Economic Association, vol. 6(4), pages 107-136, October.
    7. Joseph G. Altonji & Aloysius Siow, 1987. "Testing the Response of Consumption to Income Changes with (Noisy) Panel Data," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 102(2), pages 293-328.
    8. John Y. Campbell & N. Gregory Mankiw, 1989. "Consumption, Income, and Interest Rates: Reinterpreting the Time Series Evidence," NBER Chapters, in: NBER Macroeconomics Annual 1989, Volume 4, pages 185-246, National Bureau of Economic Research, Inc.
    9. repec:fth:harver:1435 is not listed on IDEAS
    10. Jonathan A. Parker & Nicholas S. Souleles & David S. Johnson & Robert McClelland, 2013. "Consumer Spending and the Economic Stimulus Payments of 2008," American Economic Review, American Economic Association, vol. 103(6), pages 2530-2553, October.
    11. Manuel Arellano & Richard Blundell & Stéphane Bonhomme, 2017. "Earnings and Consumption Dynamics: A Nonlinear Panel Data Framework," Econometrica, Econometric Society, vol. 85, pages 693-734, May.
    12. Richard Blundell & Luigi Pistaferri & Ian Preston, 2008. "Consumption Inequality and Partial Insurance," American Economic Review, American Economic Association, vol. 98(5), pages 1887-1921, December.
    13. Weiss, Andrew A., 1984. "Systematic sampling and temporal aggregation in time series models," Journal of Econometrics, Elsevier, vol. 26(3), pages 271-281, December.
    14. Tullio Jappelli & Luigi Pistaferri, 2010. "The Consumption Response to Income Changes," Annual Review of Economics, Annual Reviews, vol. 2(1), pages 479-506, September.
    15. Andreas Fuster & Greg Kaplan & Basit Zafar, 2021. "What Would You Do with $500? Spending Responses to Gains, Losses, News, and Loans [The Spending and Debt Response to Minimum Wage Hikes]," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 88(4), pages 1760-1795.
    16. Sumit Agarwal & Wenlan Qian, 2014. "Consumption and Debt Response to Unanticipated Income Shocks: Evidence from a Natural Experiment in Singapore," American Economic Review, American Economic Association, vol. 104(12), pages 4205-4230, December.
    17. Michael Gelman & Yuriy Gorodnichenko & Shachar Kariv & Dmitri Koustas & Matthew D. Shapiro & Dan Silverman & Steven Tadelis, 2023. "The Response of Consumer Spending to Changes in Gasoline Prices," American Economic Journal: Macroeconomics, American Economic Association, vol. 15(2), pages 129-160, April.
    18. Lillard, Lee A & Weiss, Yoram, 1979. "Components of Variation in Panel Earnings Data: American Scientists, 1960-70," Econometrica, Econometric Society, vol. 47(2), pages 437-454, March.
    19. MaCurdy, Thomas E., 1982. "The use of time series processes to model the error structure of earnings in a longitudinal data analysis," Journal of Econometrics, Elsevier, vol. 18(1), pages 83-114, January.
    20. Hall, Robert E & Mishkin, Frederic S, 1982. "The Sensitivity of Consumption to Transitory Income: Estimates from Panel Data on Households," Econometrica, Econometric Society, vol. 50(2), pages 461-481, March.
    21. Greg Kaplan & Giovanni L. Violante, 2010. "How Much Consumption Insurance beyond Self-Insurance?," American Economic Journal: Macroeconomics, American Economic Association, vol. 2(4), pages 53-87, October.
    22. John C. Hause, 1973. "The Covariance Structure of Earnings and the On the Job Training Hypothesis," NBER Working Papers 0025, National Bureau of Economic Research, Inc.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Crawley, Edmund & Theloudis, Alexandros, 2024. "Income Shocks and their Transmission into Consumption," Discussion Paper 2024-012, Tilburg University, Center for Economic Research.
    2. Edmund Crawley & Andreas Kuchler, 2020. "Consumption Heterogeneity: Micro Drivers and Macro Implications," Finance and Economics Discussion Series 2020-005, Board of Governors of the Federal Reserve System (U.S.).
    3. Theloudis, Alexandros, 2021. "Consumption inequality across heterogeneous families," European Economic Review, Elsevier, vol. 136(C).
    4. Yunho Cho & James Morley & Aarti Singh, 2024. "Did marginal propensities to consume change with the housing boom and bust?," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 39(1), pages 174-199, January.
    5. , 2020. "Why Does Consumption Fluctuate in Old Age and How Should the Government Insure it?," Opportunity and Inclusive Growth Institute Working Papers 40, Federal Reserve Bank of Minneapolis.
    6. Edmund Crawley & Martin Holm & Håkon Tretvoll, 2022. "A Parsimonious Model of Idiosyncratic Income," Finance and Economics Discussion Series 2022-026, Board of Governors of the Federal Reserve System (U.S.).
    7. Hong, Seungki, 2023. "MPCs in an emerging economy: Evidence from Peru," Journal of International Economics, Elsevier, vol. 140(C).
    8. Da Zhao & Jingyuan Guo & Hong Zou & Ze Song, 2022. "From Price to Gain: The Evolution of Household Income Volatility and Consumption Insurance in Urban China," China & World Economy, Institute of World Economics and Politics, Chinese Academy of Social Sciences, vol. 30(6), pages 113-136, November.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Edmund Crawley & Andreas Kuchler, 2020. "Consumption Heterogeneity: Micro Drivers and Macro Implications," Finance and Economics Discussion Series 2020-005, Board of Governors of the Federal Reserve System (U.S.).
    2. Crawley, Edmund & Theloudis, Alexandros, 2024. "Income Shocks and their Transmission into Consumption," Discussion Paper 2024-012, Tilburg University, Center for Economic Research.
    3. Giovanni L. Violante & Greg Kaplan, 2022. "The Marginal Propensity to Consume in Heterogeneous Agent Models," Annual Review of Economics, Annual Reviews, vol. 14(1), pages 747-775, August.
    4. Adrien Auclert, 2019. "Monetary Policy and the Redistribution Channel," American Economic Review, American Economic Association, vol. 109(6), pages 2333-2367, June.
    5. Yunho Cho & James Morley & Aarti Singh, 2024. "Did marginal propensities to consume change with the housing boom and bust?," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 39(1), pages 174-199, January.
    6. Andreas Fuster & Greg Kaplan & Basit Zafar, 2021. "What Would You Do with $500? Spending Responses to Gains, Losses, News, and Loans [The Spending and Debt Response to Minimum Wage Hikes]," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 88(4), pages 1760-1795.
    7. Fisher, Jonathan D. & Johnson, David S. & Smeeding, Timothy M. & Thompson, Jeffrey P., 2020. "Estimating the marginal propensity to consume using the distributions of income, consumption, and wealth," Journal of Macroeconomics, Elsevier, vol. 65(C).
    8. Manuel Sanchez & Felix Wellschmied, 2020. "Modeling Life-Cycle Earnings Risk with Positive and Negative Shocks," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 37, pages 103-126, July.
    9. Arellano, Manuel & Blundell, Richard & Bonhomme, Stéphane & Light, Jack, 2024. "Heterogeneity of consumption responses to income shocks in the presence of nonlinear persistence," Journal of Econometrics, Elsevier, vol. 240(2).
    10. Campbell, J.R. & Hercowitz, Zvi, 2018. "Liquidity Constraints of the Middle Class (revision of CentER DP 2015-009)," Discussion Paper 2018-039, Tilburg University, Center for Economic Research.
    11. Albuquerque, Bruno & Green, Georgina, 2023. "Financial concerns and the marginal propensity to consume in COVID times: Evidence from UK survey data," Journal of Macroeconomics, Elsevier, vol. 78(C).
    12. Greg Kaplan & Giovanni L. Violante, 2010. "How Much Consumption Insurance beyond Self-Insurance?," American Economic Journal: Macroeconomics, American Economic Association, vol. 2(4), pages 53-87, October.
    13. Christopher D. Carroll & Edmund Crawley & Jiri Slacalek & Kiichi Tokuoka & Matthew N. White, 2020. "Sticky Expectations and Consumption Dynamics," American Economic Journal: Macroeconomics, American Economic Association, vol. 12(3), pages 40-76, July.
    14. Daniel Lewis & Davide Melcangi & Laura Pilossoph, 2019. "Latent Heterogeneity in the Marginal Propensity to Consume," 2019 Meeting Papers 519, Society for Economic Dynamics.
    15. Jonathan Heathcote & Kjetil Storesletten & Giovanni L. Violante, 2014. "Consumption and Labor Supply with Partial Insurance: An Analytical Framework," American Economic Review, American Economic Association, vol. 104(7), pages 2075-2126, July.
    16. Cho, Yunho & Morley, James & Singh, Aarti, 2019. "Marginal propensities to consume before and after the Great Recession," Working Papers 2019-11, University of Sydney, School of Economics, revised Sep 2021.
    17. David Cashin & Jamie Lenney & Byron Lutz & William Peterman, 2018. "Fiscal policy and aggregate demand in the USA before, during, and following the Great Recession," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 25(6), pages 1519-1558, December.
    18. Arna Olafsson & Michaela Pagel, 2018. "The Liquid Hand-to-Mouth: Evidence from Personal Finance Management Software," The Review of Financial Studies, Society for Financial Studies, vol. 31(11), pages 4398-4446.
    19. Andreas Fagereng & Martin B. Holm & Gisle J. Natvik, 2021. "MPC Heterogeneity and Household Balance Sheets," American Economic Journal: Macroeconomics, American Economic Association, vol. 13(4), pages 1-54, October.
    20. Theloudis, Alexandros, 2021. "Consumption inequality across heterogeneous families," European Economic Review, Elsevier, vol. 136(C).

    More about this item

    Keywords

    Consumption; Income; Time Aggregation;
    All these keywords.

    JEL classification:

    • D12 - Microeconomics - - Household Behavior - - - Consumer Economics: Empirical Analysis
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making
    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • C18 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Methodolical Issues: General
    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:fip:fedgfe:2019-75. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Ryan Wolfslayer ; Keisha Fournillier (email available below). General contact details of provider: https://edirc.repec.org/data/frbgvus.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.