IDEAS home Printed from https://ideas.repec.org/p/mof/wpaper/ron322.html
   My bibliography  Save this paper

Intertemporal Elasticity of Substitution with Leisure Margin

Author

Listed:
  • Takeshi Yagihashi

    (Senior Economist, Policy Research Institute)

  • Juan Du

    (Associate Professor, Department of Economics, Strome College of Business, Old Dominion University and Lecturer, Faculty of Global Management, Chuo University)

Abstract

This paper investigates whether the estimation of the intertemporal elasticity of substitution of consumption (IES) would be affected when leisure time is allowed to vary. To this end, we adopt a utility specification that allows interactions between consumption and leisure and estimate IES using a pair of Euler equations. We find that the IES estimates that allow leisure to respond to the market interest rate are consistently lower than the IES estimates using the conventional method that keeps leisure constant. We show that time spent on home production explains majority of the difference between the two IES estimates due to the higher substitutability of home production time, particularly the childcare component, compared with other leisure time. When we exclude home production from nonmarket time, we find the IES estimates become larger. Our findings demonstrate the importance of time allocation when individuals make decisions on consumption and saving.

Suggested Citation

  • Takeshi Yagihashi & Juan Du, 2020. "Intertemporal Elasticity of Substitution with Leisure Margin," Discussion papers ron322, Policy Research Institute, Ministry of Finance Japan.
    • Handle: RePEc:mof:wpaper:ron322
    as

    Download full text from publisher

    File URL: http://www.mof.go.jp/pri/research/discussion_paper/ron322.pdf
    File Function: First version, 2016
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Altonji, Joseph G, 1986. "Intertemporal Substitution in Labor Supply: Evidence from Micro Data," Journal of Political Economy, University of Chicago Press, vol. 94(3), pages 176-215, June.
    2. Orazio P. Attanasio & Monica Paiella, 2011. "Intertemporal consumption choices, transaction costs and limited participation in financial markets: reconciling data and theory," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 26(2), pages 322-343, March.
    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. Hamish Low, 2005. "Self-Insurance in a Life-Cycle Model of Labor Supply and Savings," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 8(4), pages 945-975, October.
    6. John Laitner & Dan Silverman, 2005. "Estimating Life-Cycle Parameters from Consumption Behavior at Retirement," NBER Working Papers 11163, National Bureau of Economic Research, Inc.
    7. Patricia Apps & Ray Rees, 2005. "Gender, Time Use, and Public Policy over the Life Cycle," Oxford Review of Economic Policy, Oxford University Press and Oxford Review of Economic Policy Limited, vol. 21(3), pages 439-461, Autumn.
    8. Francine D. Blau & Lawrence M. Kahn, 2007. "Changes in the Labor Supply Behavior of Married Women: 1980–2000," Journal of Labor Economics, University of Chicago Press, vol. 25(3), pages 393-438.
    9. Olga Gorbachev, 2011. "Did Household Consumption Become More Volatile?," American Economic Review, American Economic Association, vol. 101(5), pages 2248-2270, August.
    10. Attanasio, Orazio P, et al, 1999. "Humps and Bumps in Lifetime Consumption," Journal of Business & Economic Statistics, American Statistical Association, vol. 17(1), pages 22-35, January.
    11. Guvenen, Fatih, 2006. "Reconciling conflicting evidence on the elasticity of intertemporal substitution: A macroeconomic perspective," Journal of Monetary Economics, Elsevier, vol. 53(7), pages 1451-1472, October.
    12. Cogley, Timothy, 2002. "Idiosyncratic risk and the equity premium: evidence from the consumer expenditure survey," Journal of Monetary Economics, Elsevier, vol. 49(2), pages 309-334, March.
    13. Richard Rogerson & Johanna Wallenius, 2013. "Nonconvexities, Retirement, and the Elasticity of Labor Supply," American Economic Review, American Economic Association, vol. 103(4), pages 1445-1462, June.
    14. Milton Friedman, 1957. "Introduction to "A Theory of the Consumption Function"," NBER Chapters, in: A Theory of the Consumption Function, pages 1-6, National Bureau of Economic Research, Inc.
    15. 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.
    16. Raj Chetty & Adam Szeidl, 2007. "Consumption Commitments and Risk Preferences," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 122(2), pages 831-877.
    17. Mankiw, N. Gregory & Zeldes, Stephen P., 1991. "The consumption of stockholders and nonstockholders," Journal of Financial Economics, Elsevier, vol. 29(1), pages 97-112, March.
    18. 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.
    19. Anil Kumar & Che-Yuan Liang, 2016. "Declining Female Labor Supply Elasticities in the United States and Implications for Tax Policy: Evidence From Panel Data," National Tax Journal, National Tax Association;National Tax Journal, vol. 69(3), pages 481-516, September.
    20. Raj Chetty, 2006. "A New Method of Estimating Risk Aversion," American Economic Review, American Economic Association, vol. 96(5), pages 1821-1834, December.
    21. Hubbard, R Glenn & Skinner, Jonathan & Zeldes, Stephen P, 1995. "Precautionary Saving and Social Insurance," Journal of Political Economy, University of Chicago Press, vol. 103(2), pages 360-399, April.
    22. Kydland, Finn E & Prescott, Edward C, 1982. "Time to Build and Aggregate Fluctuations," Econometrica, Econometric Society, vol. 50(6), pages 1345-1370, November.
    23. Gilbert Ghez & Gary S. Becker, 1975. "The Allocation of Time and Goods over the Life Cycle," NBER Books, National Bureau of Economic Research, Inc, number ghez75-1.
    24. Elena Stancanelli & Arthur Van Soest, 2012. "Retirement and Home Production: A Regression Discontinuity Approach," American Economic Review, American Economic Association, vol. 102(3), pages 600-605, May.
    25. Kilponen Juha, 2012. "Consumption, Leisure and Borrowing Constraints," The B.E. Journal of Macroeconomics, De Gruyter, vol. 12(1), pages 1-25, May.
    26. Timo Boppart & Per Krusell, 2020. "Labor Supply in the Past, Present, and Future: A Balanced-Growth Perspective," Journal of Political Economy, University of Chicago Press, vol. 128(1), pages 118-157.
    27. Urban J. Jermann & Marianne Baxter, 1999. "Household Production and the Excess Sensitivity of Consumption to Current Income," American Economic Review, American Economic Association, vol. 89(4), pages 902-920, September.
    28. Christopher D. Carroll, 1994. "How does Future Income Affect Current Consumption?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 109(1), pages 111-147.
    29. Raj Chetty, 2012. "Bounds on Elasticities With Optimization Frictions: A Synthesis of Micro and Macro Evidence on Labor Supply," Econometrica, Econometric Society, vol. 80(3), pages 969-1018, May.
    30. 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.
    31. Kilponen, Juha & Vilmunen, Jouko & Vähämaa, Oskari, 2022. "Revisiting intertemporal elasticity of substitution in a sticky price model," Journal of Economic Dynamics and Control, Elsevier, vol. 144(C).
    32. Gilbert Ghez & Gary S. Becker, 1975. "A Theory of the Allocation of Time and Goods Over the Life Cycle," NBER Chapters, in: The Allocation of Time and Goods over the Life Cycle, pages 1-45, National Bureau of Economic Research, Inc.
    33. Jim Been & Susann Rohwedder & Michael Hurd, 2020. "Does Home Production Replace Consumption Spending? Evidence from Shocks in Housing Wealth in the Great Recession," The Review of Economics and Statistics, MIT Press, vol. 102(1), pages 113-128, March.
    34. 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.
    35. Rogerson, Richard & Wallenius, Johanna, 2016. "Retirement, home production and labor supply elasticities," Journal of Monetary Economics, Elsevier, vol. 78(C), pages 23-34.
    36. Chunzan Wu & Dirk Krueger, 2021. "Consumption Insurance against Wage Risk: Family Labor Supply and Optimal Progressive Income Taxation," American Economic Journal: Macroeconomics, American Economic Association, vol. 13(1), pages 79-113, January.
    37. Richard Blundell & Luigi Pistaferri & Itay Saporta-Eksten, 2016. "Consumption Inequality and Family Labor Supply," American Economic Review, American Economic Association, vol. 106(2), pages 387-435, February.
    38. Jacobs, Kris, 2007. "Consumption-leisure nonseparabilities in asset market participants' preferences," Journal of Monetary Economics, Elsevier, vol. 54(7), pages 2131-2138, October.
    39. 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.
    40. John C. Ham & Kevin T. Reilly, 2002. "Testing Intertemporal Substitution, Implicit Contracts, and Hours Restriction Models of the Labor Market Using Micro Data," American Economic Review, American Economic Association, vol. 92(4), pages 905-927, September.
    41. Xiaohong Chen & Han Hong & Denis Nekipelov, 2011. "Nonlinear Models of Measurement Errors," Journal of Economic Literature, American Economic Association, vol. 49(4), pages 901-937, December.
    42. King, Robert G. & Plosser, Charles I. & Rebelo, Sergio T., 1988. "Production, growth and business cycles : I. The basic neoclassical model," Journal of Monetary Economics, Elsevier, vol. 21(2-3), pages 195-232.
    43. Mark Aguiar & Erik Hurst, 2013. "Deconstructing Life Cycle Expenditure," Journal of Political Economy, University of Chicago Press, vol. 121(3), pages 437-492.
    44. 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.
    45. Milton Friedman, 1957. "A Theory of the Consumption Function," NBER Books, National Bureau of Economic Research, Inc, number frie57-1.
    46. Mark Aguiar & Erik Hurst, 2005. "Consumption versus Expenditure," Journal of Political Economy, University of Chicago Press, vol. 113(5), pages 919-948, October.
    47. Jim Been & Susann Rohwedder & Michael Hurd, 2021. "Households’ joint consumption spending and home production responses to retirement in the US," Review of Economics of the Household, Springer, vol. 19(4), pages 959-985, December.
    48. Eric T. Swanson, 2012. "Risk Aversion and the Labor Margin in Dynamic Equilibrium Models," American Economic Review, American Economic Association, vol. 102(4), pages 1663-1691, June.
    49. Heckman, James J, 1974. "Life Cycle Consumption and Labor Supply: An Explanation of the Relationship Between Income and Consumption Over the Life Cycle," American Economic Review, American Economic Association, vol. 64(1), pages 188-194, March.
    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. 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.
    2. Mark Aguiar & Erik Hurst, 2013. "Deconstructing Life Cycle Expenditure," Journal of Political Economy, University of Chicago Press, vol. 121(3), pages 437-492.
    3. Aylit Tina Romm, 2017. "Retirement date effects on saving behavior: Endogenous labor supply and non-separable preferences," International Journal of Economic Theory, The International Society for Economic Theory, vol. 13(3), pages 327-346, September.
    4. Martin Browning & Thomas F. Crossley, 2001. "The Life-Cycle Model of Consumption and Saving," Journal of Economic Perspectives, American Economic Association, vol. 15(3), pages 3-22, Summer.
    5. Orazio P. Attanasio, 1998. "Consumption Demand," NBER Working Papers 6466, National Bureau of Economic Research, Inc.
    6. Miriam Beblo & Sven Schreiber, 2022. "Leisure and housing consumption after retirement: new evidence on the life-cycle hypothesis," Review of Economics of the Household, Springer, vol. 20(1), pages 305-330, March.
    7. Job Boerma & Loukas Karabarbounis, 2021. "Inferring Inequality With Home Production," Econometrica, Econometric Society, vol. 89(5), pages 2517-2556, September.
    8. Einian, Majid & Nili, Masoud, 2016. "Consumption Smoothing and Borrowing Constraints: Evidence from Household Surveys of Iran," MPRA Paper 72461, University Library of Munich, Germany.
    9. 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).
    10. Robin Jessen & Johannes König, 2023. "Hours risk and wage risk: repercussions over the life cycle," Scandinavian Journal of Economics, Wiley Blackwell, vol. 125(4), pages 956-996, October.
    11. R. Jason Faberman, 2010. "Revisiting the role of home production in life-cycle labor supply," Working Papers 10-3, Federal Reserve Bank of Philadelphia.
    12. Apps, Patricia & Rees, Ray, 2004. "Life Cycle Time Allocation and Saving in an Imperfect Capital Market," IZA Discussion Papers 1036, Institute of Labor Economics (IZA).
    13. 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.
    14. Jesus Fernández-Villaverde & Dirk Krueger, 2007. "Consumption over the Life Cycle: Facts from Consumer Expenditure Survey Data," The Review of Economics and Statistics, MIT Press, vol. 89(3), pages 552-565, August.
    15. Hamish Low & Costas Meghir & Luigi Pistaferri, 2010. "Wage Risk and Employment Risk over the Life Cycle," American Economic Review, American Economic Association, vol. 100(4), pages 1432-1467, September.
    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. Andrea Butelmann P & Francisco Gallego, 2000. "Household Saving in Chile: Microeconomic Evidence," Journal Economía Chilena (The Chilean Economy), Central Bank of Chile, vol. 3(1), pages 5-24, April.
    18. Hugo Benitez-Silva, 2000. "A Dynamic Model Of Labor Supply, Consumption/Saving, And Annuity Decisions Under Uncertainty," Computing in Economics and Finance 2000 128, Society for Computational Economics.
    19. Hugo Benítez-Silva, 2003. "The Annuity Puzzle Revisited," Working Papers wp055, University of Michigan, Michigan Retirement Research Center.
    20. Bram De Rock & Bart Capéau, 2015. "The implications of household size and children for life-cycle saving," Working Paper Research 286, National Bank of Belgium.

    More about this item

    Keywords

    time allocation; labor supply; earning;
    All these keywords.

    JEL classification:

    • D21 - Microeconomics - - Production and Organizations - - - Firm Behavior: Theory
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making
    • J22 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Time Allocation and Labor Supply

    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:mof:wpaper:ron322. 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: Policy Research Institute (email available below). General contact details of provider: https://edirc.repec.org/data/prigvjp.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.