IDEAS home Printed from https://ideas.repec.org/p/fip/feddwp/0812.html
   My bibliography  Save this paper

The elasticity of intertemporal substitution: new evidence from 401(k) participation

Author

Listed:
  • Gary V. Engelhardt
  • Anil Kumar

Abstract

A key parameter in economics is the elasticity of intertemporal substitution (EIS), which measures the extent to which consumers shift total expenditures across time in response to changes in the effective rate of return. In contrast to the previous literature, which primarily has relied on Euler equation methods and generated a wide range of estimates, we show how a life-cycle-consistent econometric specification of employee 401(k) participation along with plausibly exogenous variation in rates of return due to employer matching contributions can be used to generate new estimates of the EIS. Because firms often cap the generosity of the match, employer matching generates nonlinearities in household budget sets. We draw on non-linear budget-set estimation methods rooted in the public economics literature, and using detailed administrative contribution, earnings, and pension-plan data for a sample of 401(k)-eligible households from the Health and Retirement Study, we estimate the EIS to be 0.74 in our richest specification, with a 95% confidence interval that ranges from 0.37 to 1.21.

Suggested Citation

  • Gary V. Engelhardt & Anil Kumar, 2008. "The elasticity of intertemporal substitution: new evidence from 401(k) participation," Working Papers 0812, Federal Reserve Bank of Dallas.
    • Handle: RePEc:fip:feddwp:0812
    Note: Published as: Engelhardt, Gary V. and Anil Kumar (2009), "The Elasticity of Intertemporal Substitution: New Evidence from 401(k) Participation," Economics Letters 103 (1): 15-17.
    as

    Download full text from publisher

    File URL: https://www.dallasfed.org/~/media/documents/research/papers/2008/wp0812.pdf
    File Function: Full text
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Orazio P. Attanasio & James Banks & Sarah Tanner, 2002. "Asset Holding and Consumption Volatility," Journal of Political Economy, University of Chicago Press, vol. 110(4), pages 771-792, August.
    2. Robert B. Barsky & Miles S. Kimball & F. Thomas Juster & Matthew D. Shapiro, 1995. "Preference Parameters and Behavioral Heterogeneity: An Experimental Approach in the Health and Retirement Survey," NBER Working Papers 5213, National Bureau of Economic Research, Inc.
    3. Motohiro Yogo, 2004. "Estimating the Elasticity of Intertemporal Substitution When Instruments Are Weak," The Review of Economics and Statistics, MIT Press, vol. 86(3), pages 797-810, August.
    4. Richard Blundell & Martin Browning & Costas Meghir, 1994. "Consumer Demand and the Life-Cycle Allocation of Household Expenditures," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 61(1), pages 57-80.
    5. James P. Ziliak & Thomas J. Kniesner, 2005. "The Effect of Income Taxation on Consumption and Labor Supply," Journal of Labor Economics, University of Chicago Press, vol. 23(4), pages 769-796, October.
    6. James J. Choi & David Laibson & Brigitte C. Madrian & Andrew Metrick, 2004. "For Better or for Worse: Default Effects and 401(k) Savings Behavior," NBER Chapters, in: Perspectives on the Economics of Aging, pages 81-126, National Bureau of Economic Research, Inc.
    7. James J. Choi & David Laibson & Brigitte C. Madrian & Andrew Metrick, 2003. "Optimal Defaults," American Economic Review, American Economic Association, vol. 93(2), pages 180-185, May.
    8. Carroll Christopher Dixon, 2001. "Death to the Log-Linearized Consumption Euler Equation! (And Very Poor Health to the Second-Order Approximation)," The B.E. Journal of Macroeconomics, De Gruyter, vol. 1(1), pages 1-38, April.
    9. Blundell, Richard & Macurdy, Thomas, 1999. "Labor supply: A review of alternative approaches," Handbook of Labor Economics, in: O. Ashenfelter & D. Card (ed.), Handbook of Labor Economics, edition 1, volume 3, chapter 27, pages 1559-1695, Elsevier.
    10. Casey B. Mulligan, 2002. "Capital, Interest, and Aggregate Intertemporal Substitution," NBER Working Papers 9373, National Bureau of Economic Research, Inc.
    11. Attanasio, Orazio P & Weber, Guglielmo, 1995. "Is Consumption Growth Consistent with Intertemporal Optimization? Evidence from the Consumer Expenditure Survey," Journal of Political Economy, University of Chicago Press, vol. 103(6), pages 1121-1157, December.
    12. Sydney Ludvigson & Christina H. Paxson, 2001. "Approximation Bias In Linearized Euler Equations," The Review of Economics and Statistics, MIT Press, vol. 83(2), pages 242-256, May.
    13. James P. Ziliak & Thomas J. Kniesner, 1999. "Estimating Life Cycle Labor Supply Tax Effects," Journal of Political Economy, University of Chicago Press, vol. 107(2), pages 326-359, April.
    14. Smith, Richard J & Blundell, Richard W, 1986. "An Exogeneity Test for a Simultaneous Equation Tobit Model with an Application to Labor Supply," Econometrica, Econometric Society, vol. 54(3), pages 679-685, May.
    15. Olivia S. Mitchell & Jan Olson & Thomas Steinmeier, "undated". "Construction of the Earnings and Benefits File (EBF) for Use with the Health and Retirement Survey," Pension Research Council Working Papers 98-19, Wharton School Pension Research Council, University of Pennsylvania.
    16. Engelhardt, Gary V. & Kumar, Anil, 2009. "The elasticity of intertemporal substitution: New evidence from 401(k) participation," Economics Letters, Elsevier, vol. 103(1), pages 15-17, April.
    17. Orazio P. Attanasio & Guglielmo Weber, 1993. "Consumption Growth, the Interest Rate and Aggregation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 60(3), pages 631-649.
    18. Attanasio, Orazio P & Browning, Martin, 1995. "Consumption over the Life Cycle and over the Business Cycle," American Economic Review, American Economic Association, vol. 85(5), pages 1118-1137, December.
    19. Hall, Robert E, 1988. "Intertemporal Substitution in Consumption," Journal of Political Economy, University of Chicago Press, vol. 96(2), pages 339-357, April.
    20. Courtney Coile & Jonathan Gruber, 2000. "Social Security and Retirement," NBER Working Papers 7830, National Bureau of Economic Research, Inc.
    21. Skinner, Jonathan, 1985. "Variable Lifespan and the Intertemporal Elasticity of Consumption," The Review of Economics and Statistics, MIT Press, vol. 67(4), pages 616-623, November.
    22. James J. Choi & David Laibson & Brigitte C. Madrian & Andrew Metrick, 2001. "Defined Contribution Pensions: Plan Rules, Participant Decisions, and the Path of Least Resistance," NBER Working Papers 8655, National Bureau of Economic Research, Inc.
    23. Muellbauer, John, 1976. "Community Preferences and the Representative Consumer," Econometrica, Econometric Society, vol. 44(5), pages 979-999, September.
    24. Mitali Das & Whitney K. Newey & Francis Vella, 2003. "Nonparametric Estimation of Sample Selection Models," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 70(1), pages 33-58.
    25. Martin Browning & Annamaria Lusardi, 1996. "Household Saving: Micro Theories and Micro Facts," Journal of Economic Literature, American Economic Association, vol. 34(4), pages 1797-1855, December.
    26. Annette Vissing-Jorgensen, 2002. "Limited Asset Market Participation and the Elasticity of Intertemporal Substitution," Journal of Political Economy, University of Chicago Press, vol. 110(4), pages 825-853, August.
    27. Engelhardt, Gary V. & Kumar, Anil, 2007. "Employer matching and 401(k) saving: Evidence from the health and retirement study," Journal of Public Economics, Elsevier, vol. 91(10), pages 1920-1943, November.
    28. Jonathan Gruber, 2006. "A Tax-Based Estimate of the Elasticity of Intertemporal Substitution," NBER Working Papers 11945, National Bureau of Economic Research, Inc.
    29. Hausman, Jerry A, 1985. "The Econometrics of Nonlinear Budget Sets," Econometrica, Econometric Society, vol. 53(6), pages 1255-1282, November.
    30. Soren Blomquist & Whitney Newey, 2002. "Nonparametric Estimation with Nonlinear Budget Sets," Econometrica, Econometric Society, vol. 70(6), pages 2455-2480, November.
    31. Daniel Feenberg & Elisabeth Coutts, 1993. "An introduction to the TAXSIM model," Journal of Policy Analysis and Management, John Wiley & Sons, Ltd., vol. 12(1), pages 189-194.
    32. repec:hoo:wpaper:e-90-11 is not listed on IDEAS
    33. Browning, Martin & Deaton, Angus & Irish, Margaret, 1985. "A Profitable Approach to Labor Supply and Commodity Demands over the Life-Cycle," Econometrica, Econometric Society, vol. 53(3), pages 503-543, May.
    34. Robert B. Barsky & F. Thomas Juster & Miles S. Kimball & Matthew D. Shapiro, 1997. "Preference Parameters and Behavioral Heterogeneity: An Experimental Approach in the Health and Retirement Study," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(2), pages 537-579.
    35. Gary V. Engelhardt & Anil Kumar, 2007. "Employer Matching and 401(k) Saving: Evidence from the Health and Retirement Study," NBER Chapters, in: Public Policy and Retirement, Trans-Atlantic Public Economics Seminar (TAPES), pages 1920-1943, National Bureau of Economic Research, Inc.
    36. Alan L. Gustman & Olivia S. Mitchell & Andrew A. Samwick & Thomas L. Steinmeier, "undated". "Pension and Social Security Wealth in the Health and Retirement Study," Pension Research Council Working Papers 97-3, Wharton School Pension Research Council, University of Pennsylvania.
    37. Cunningham, Christopher R. & Engelhardt, Gary V., 2002. "Federal Tax Policy, Employer Matching, and 401(K) Saving: Evidence From HRS W-2 Records," National Tax Journal, National Tax Association;National Tax Journal, vol. 55(3), pages 617-645, September.
    38. Moffitt, Robert, 1990. "The Econometrics of Kinked Budget Constraints," Journal of Economic Perspectives, American Economic Association, vol. 4(2), pages 119-139, Spring.
    39. Gary V. Engelhardt & Anil Kumar, 2011. "Pensions and Household Wealth Accumulation," Journal of Human Resources, University of Wisconsin Press, vol. 46(1), pages 203-236.
    40. Annette Vissing-Jørgensen & Orazio P. Attanasio, 2003. "Stock-Market Participation, Intertemporal Substitution, and Risk-Aversion," American Economic Review, American Economic Association, vol. 93(2), pages 383-391, May.
    41. Karen E. Dynan, 1993. "How prudent are consumers?," Working Paper Series / Economic Activity Section 135, Board of Governors of the Federal Reserve System (U.S.).
    42. Blundell, Richard & Meghir, Costas & Neves, Pedro, 1993. "Labour supply and intertemporal substitution," Journal of Econometrics, Elsevier, vol. 59(1-2), pages 137-160, September.
    43. Vella, F, 1992. "Simple Tests for Sample Selection Bias in Censored and Discrete Choice Models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 7(4), pages 413-421, Oct.-Dec..
    44. Thomas MaCurdy & David Green & Harry Paarsch, 1990. "Assessing Empirical Approaches for Analyzing Taxes and Labor Supply," Journal of Human Resources, University of Wisconsin Press, vol. 25(3), pages 415-490.
    45. Attanasio, Orazio P & Weber, Guglielmo, 1989. "Intertemporal Substitution, Risk Aversion and the Euler Equation for Consumption," Economic Journal, Royal Economic Society, vol. 99(395), pages 59-73, Supplemen.
    46. Dynan, Karen E, 1993. "How Prudent Are Consumers?," Journal of Political Economy, University of Chicago Press, vol. 101(6), pages 1104-1113, December.
    Full references (including those not matched with items on IDEAS)

    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. Gary V. Engelhardt & Anil Kumar, 2007. "Employer Matching and 401(k) Saving: Evidence from the Health and Retirement Study," NBER Chapters, in: Public Policy and Retirement, Trans-Atlantic Public Economics Seminar (TAPES), pages 1920-1943, National Bureau of Economic Research, Inc.
    2. Julian Thimme, 2017. "Intertemporal Substitution In Consumption: A Literature Review," Journal of Economic Surveys, Wiley Blackwell, vol. 31(1), pages 226-257, February.
    3. Tomáš Havránek, 2015. "Measuring Intertemporal Substitution: The Importance Of Method Choices And Selective Reporting," Journal of the European Economic Association, European Economic Association, vol. 13(6), pages 1180-1204, December.
    4. Tomas Havranek, 2013. "Publication Bias in Measuring Intertemporal Substitution," Working Papers IES 2013/15, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, revised Oct 2013.
    5. Havranek, Tomas & Horvath, Roman & Irsova, Zuzana & Rusnak, Marek, 2015. "Cross-country heterogeneity in intertemporal substitution," Journal of International Economics, Elsevier, vol. 96(1), pages 100-118.
    6. Jonathan Gruber, 2006. "A Tax-Based Estimate of the Elasticity of Intertemporal Substitution," NBER Working Papers 11945, National Bureau of Economic Research, Inc.
    7. Crump, Richard K. & Eusepi, Stefano & Tambalotti, Andrea & Topa, Giorgio, 2022. "Subjective intertemporal substitution," Journal of Monetary Economics, Elsevier, vol. 126(C), pages 118-133.
    8. Berger, Johannes & Strohner, Ludwig, 2020. "Documentation of the PUblic Policy Model for Austria and other European countries (PUMA)," Research Papers 11, EcoAustria – Institute for Economic Research.
    9. Daria Pignalosa, 2019. "On the role of the utility function in the estimation of preference parameters," Metroeconomica, Wiley Blackwell, vol. 70(4), pages 793-820, November.
    10. Kumar, Anil, 2008. "Labor supply, deadweight loss and tax reform act of 1986: A nonparametric evaluation using panel data," Journal of Public Economics, Elsevier, vol. 92(1-2), pages 236-253, February.
    11. Daria Pignalosa, 2021. "The Euler Equation Approach: Critical Implications of Recent Developments in the Theory of Intertemporal Choice," Bulletin of Political Economy, Bulletin of Political Economy, vol. 15(1), pages 1-43, June.
    12. Anil Kumar, 2012. "Nonparametric estimation of the impact of taxes on female labor supply," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 27(3), pages 415-439, April.
    13. Brendan Epstein & Miles S. Kimball, 2014. "The Decline of Drudgery and the Paradox of Hard Work," International Finance Discussion Papers 1106, Board of Governors of the Federal Reserve System (U.S.).
    14. Orazio P. Attanasio & Guglielmo Weber, 2010. "Consumption and Saving: Models of Intertemporal Allocation and Their Implications for Public Policy," Journal of Economic Literature, American Economic Association, vol. 48(3), pages 693-751, September.
    15. Orazio P. Attanasio & Hamish Low, 2004. "Estimating Euler Equations," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 7(2), pages 405-435, April.
    16. Antonio Cutanda & José M. Labeaga & Juan A. Sanchis-Llopis, 2020. "Aggregation biases in empirical Euler consumption equations: evidence from Spanish data," Empirical Economics, Springer, vol. 58(3), pages 957-977, March.
    17. Dr Justin van de Ven & Dr Martin Weale, 2010. "An Empirical Investigation of Quasi-hyperbolic Discounting," National Institute of Economic and Social Research (NIESR) Discussion Papers 355, National Institute of Economic and Social Research.
    18. Takeshi Yagihashi & Juan Du, 2015. "Intertemporal elasticity of substitution and risk aversion: are they related empirically?," Applied Economics, Taylor & Francis Journals, vol. 47(15), pages 1588-1605, March.
    19. de Castro, Luciano & Cundy, Lance D. & Galvao, Antonio F. & Westenberger, Rafael, 2023. "A dynamic quantile model for distinguishing intertemporal substitution from risk aversion," European Economic Review, Elsevier, vol. 159(C).
    20. Orazio P. Attanasio, 1998. "Consumption Demand," NBER Working Papers 6466, National Bureau of Economic Research, Inc.

    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:feddwp:0812. 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: Amy Chapman (email available below). General contact details of provider: https://edirc.repec.org/data/frbdaus.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.