IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/34329.html
   My bibliography  Save this paper

Heterogenous intertemporal elasticity of substitution and relative risk aversion: estimation of optimal consumption choice with habit formation and measurement errors

Author

Listed:
  • Natalia, Khorunzhina
  • Wayne Roy, Gayle

Abstract

This paper investigates the existence and degree of variation across house holds and over time in the intertemporal elasticity of substitution (IES) and the coefficient of relative risk aversion (RRA) that is generated by habit forming preferences. To do so, we develop a new nonlinear GMM estimator to investigate the presence of habit formation in household consumption using data from the Panel Study of Income Dynamics. Our method accounts for classical measurement errors in consumption without parametric assumptions on the distribution of measurement errors. The estimation results support habit formation in food consumption. Using these estimates, we develop bounds for the expectation of the implied heterogenous intertemporal elasticity of substitution and relative risk aversion that account for measurement errors and compute asymptotically valid confidence intervals on these bounds. We find that these parameters display significant variation across households and over time.

Suggested Citation

  • Natalia, Khorunzhina & Wayne Roy, Gayle, 2011. "Heterogenous intertemporal elasticity of substitution and relative risk aversion: estimation of optimal consumption choice with habit formation and measurement errors," MPRA Paper 34329, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:34329
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/34329/1/MPRA_paper_34329.pdf
    File Function: original version
    Download Restriction: no

    File URL: https://mpra.ub.uni-muenchen.de/69145/10/MPRA_paper_69145.pdf
    File Function: revised version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. Abel, Andrew B, 1990. "Asset Prices under Habit Formation and Catching Up with the Joneses," American Economic Review, American Economic Association, vol. 80(2), pages 38-42, May.
    3. Ventura, Eva, 1994. "A note on measurement error and Euler equations : An alternative to log-linear approximations," Economics Letters, Elsevier, vol. 45(3), pages 305-308.
    4. Thomas F. Crossley & Hamish W. Low, 2011. "Is The Elasticity Of Intertemporal Substitution Constant?," Journal of the European Economic Association, European Economic Association, vol. 9(1), pages 87-105, February.
    5. John Muellbauer, 1988. "Habits, Rationality and Myopia in the Life Cycle Consumption Function," Annals of Economics and Statistics, GENES, issue 9, pages 47-70.
    6. Sule Alan & Martin Browning, 2003. "Estimating Intertemporal Allocation Parameters using Simulated Residual Estimation," CAM Working Papers 2003-03, University of Copenhagen. Department of Economics. Centre for Applied Microeconometrics.
    7. 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.
    8. Andersen, Steffen & Harrison, Glenn W. & Lau, Morten Igel & Rutström, E. Elisabet, 2010. "Preference heterogeneity in experiments: Comparing the field and laboratory," Journal of Economic Behavior & Organization, Elsevier, vol. 73(2), pages 209-224, February.
    9. Smith, William T. & Zhang, Qiang, 2007. "Asset pricing with multiplicative habit and power-expo preferences," Economics Letters, Elsevier, vol. 94(3), pages 319-325, March.
    10. Sule Alan & Orazio Attanasio & Martin Browning, 2009. "Estimating Euler equations with noisy data: two exact GMM estimators," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 24(2), pages 309-324, March.
    11. 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.
    12. Naik, Narayan Y & Moore, Michael J, 1996. "Habit Formation and Intertemporal Substitution in Individual Food Consumption," The Review of Economics and Statistics, MIT Press, vol. 78(2), pages 321-328, May.
    13. Hausman, Jerry A. & Newey, Whitney K. & Ichimura, Hidehiko & Powell, James L., 1991. "Identification and estimation of polynomial errors-in-variables models," Journal of Econometrics, Elsevier, vol. 50(3), pages 273-295, December.
    14. Runkle, David E., 1991. "Liquidity constraints and the permanent-income hypothesis : Evidence from panel data," Journal of Monetary Economics, Elsevier, vol. 27(1), pages 73-98, February.
    15. Guido W. Imbens & Charles F. Manski, 2004. "Confidence Intervals for Partially Identified Parameters," Econometrica, Econometric Society, vol. 72(6), pages 1845-1857, November.
    16. Karen E. Dynan, 2000. "Habit Formation in Consumer Preferences: Evidence from Panel Data," American Economic Review, American Economic Association, vol. 90(3), pages 391-406, June.
    17. Shapiro, Matthew D., 1984. "The permanent income hypothesis and the real interest rate : Some evidence from panel data," Economics Letters, Elsevier, vol. 14(1), pages 93-100.
    18. 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.
    19. Susanne M. Schennach, 2004. "Estimation of Nonlinear Models with Measurement Error," Econometrica, Econometric Society, vol. 72(1), pages 33-75, January.
    20. Raquel Carrasco & José M. Labeaga & J. David López-Salido, 2005. "Consumption and Habits: Evidence from Panel Data," Economic Journal, Royal Economic Society, vol. 115(500), pages 144-165, January.
    21. Xiaohong Chen & Sydney C. Ludvigson, 2009. "Land of addicts? an empirical investigation of habit‐based asset pricing models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 24(7), pages 1057-1093, November.
    22. Meghir, Costas & Weber, Guglielmo, 1996. "Intertemporal Nonseparability or Borrowing Restrictions? A Disaggregate Analysis Using a U.S. Consumption Panel," Econometrica, Econometric Society, vol. 64(5), pages 1151-1181, September.
    23. Geert Ridder & Yingyao Hu, 2004. "Estimation of Nonlinear Models with Measurement Error Using Marginal Information," Econometric Society 2004 North American Summer Meetings 21, Econometric Society.
    24. M. Dolores Collado & Martin Browning, 2007. "Habits and heterogeneity in demands: a panel data analysis," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(3), pages 625-640.
    25. Guiso, Luigi & Pagel, Michaela, 2004. "The Role of Risk Aversion in Predicting Individual Behaviours," CEPR Discussion Papers 4591, C.E.P.R. Discussion Papers.
    26. Fumio Hayashi, 1985. "The Permanent Income Hypothesis and Consumption Durability: Analysis Based on Japanese Panel Data," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 100(4), pages 1083-1113.
    27. 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.
    28. Chunrong Ai & Xiaohong Chen, 2003. "Efficient Estimation of Models with Conditional Moment Restrictions Containing Unknown Functions," Econometrica, Econometric Society, vol. 71(6), pages 1795-1843, November.
    29. Atkeson, Andrew & Ogaki, Masao, 1996. "Wealth-varying intertemporal elasticities of substitution: Evidence from panel and aggregate data," Journal of Monetary Economics, Elsevier, vol. 38(3), pages 507-534, December.
    30. Hong, Han & Tamer, Elie, 2003. "A simple estimator for nonlinear error in variable models," Journal of Econometrics, Elsevier, vol. 117(1), pages 1-19, November.
    31. repec:adr:anecst:y:1988:i:9:p:03 is not listed on IDEAS
    32. 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.
    33. Hansen, Lars Peter & Heaton, John & Yaron, Amir, 1996. "Finite-Sample Properties of Some Alternative GMM Estimators," Journal of Business & Economic Statistics, American Statistical Association, vol. 14(3), pages 262-280, July.
    34. Sule Alan & Martin Browning, 2010. "Estimating Intertemporal Allocation Parameters using Synthetic Residual Estimation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 77(4), pages 1231-1261.
    35. Whitney K. Newey & James L. Powell, 2003. "Instrumental Variable Estimation of Nonparametric Models," Econometrica, Econometric Society, vol. 71(5), pages 1565-1578, September.
    36. Joseph Eisenhauer & Luigi Ventura, 2003. "Survey measures of risk aversion and prudence," Applied Economics, Taylor & Francis Journals, vol. 35(13), pages 1477-1484.
    37. Jeffrey C. Fuhrer, 2000. "Habit Formation in Consumption and Its Implications for Monetary-Policy Models," American Economic Review, American Economic Association, vol. 90(3), pages 367-390, June.
    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. Irina Khvostova & Alexander Larin & Anna Novak, 2016. "Euler Equation with Habits and Measurement Errors: Estimates on Russian Micro Data," Panoeconomicus, Savez ekonomista Vojvodine, Novi Sad, Serbia, vol. 63(4), pages 395-409.

    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. Irina Khvostova & Alexander Larin & Anna Novak, 2016. "The Euler Equation with Habits and Measurement Errors: Estimates on Russian Micro Data," Panoeconomicus, Savez ekonomista Vojvodine, Novi Sad, Serbia, vol. 63(4), pages 395-409, September.
    2. Irina Khvostova & Alexander Larin & Anna Novak, 2016. "Euler Equation with Habits and Measurement Errors: Estimates on Russian Micro Data," Panoeconomicus, Savez ekonomista Vojvodine, Novi Sad, Serbia, vol. 63(4), pages 395-409.
    3. Francisco Alvarez-Cuadrado & Jose Maria Casado & Jose Maria Labeaga, 2016. "Envy and Habits: Panel Data Estimates of Interdependent Preferences," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 78(4), pages 443-469, August.
    4. Sule Alan & Orazio Attanasio & Martin Browning, 2009. "Estimating Euler equations with noisy data: two exact GMM estimators," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 24(2), pages 309-324, March.
    5. Sule Alan & Martin Browning, 2010. "Estimating Intertemporal Allocation Parameters using Synthetic Residual Estimation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 77(4), pages 1231-1261.
    6. Enrichetta Ravina, 2005. "Keeping Up with the Joneses: Evidence from Micro Data," 2005 Meeting Papers 557, Society for Economic Dynamics.
    7. Julian Thimme, 2017. "Intertemporal Substitution In Consumption: A Literature Review," Journal of Economic Surveys, Wiley Blackwell, vol. 31(1), pages 226-257, February.
    8. 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.
    9. Rossi, Mariacristina, 2005. "Households’ Consumption under the Habit Formation Hypothesis. Evidence from Italian Households using the Survey of Household Income and Wealth (SHIW)," Economics Discussion Papers 8886, University of Essex, Department of Economics.
    10. Jacobs Martin, 2016. "Accounting for Changing Tastes: Approaches to Explaining Unstable Individual Preferences," Review of Economics, De Gruyter, vol. 67(2), pages 121-183, August.
    11. 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.
    12. Crump, Richard K. & Eusepi, Stefano & Tambalotti, Andrea & Topa, Giorgio, 2022. "Subjective intertemporal substitution," Journal of Monetary Economics, Elsevier, vol. 126(C), pages 118-133.
    13. Havranek, Tomas & Rusnak, Marek & Sokolova, Anna, 2017. "Habit formation in consumption: A meta-analysis," European Economic Review, Elsevier, vol. 95(C), pages 142-167.
    14. 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.
    15. Rob Alessie & Federica Teppa, 2010. "Saving and habit formation: evidence from Dutch panel data," Empirical Economics, Springer, vol. 38(2), pages 385-407, April.
    16. M. Fatih Guvenen, 2003. "A Parsimonious Macroeconomic Model for Asset Pricing: Habit Formation or Cross-sectional Heterogeneity?," RCER Working Papers 499, University of Rochester - Center for Economic Research (RCER).
    17. 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.
    18. 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.).
    19. 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.
    20. Raquel Carrasco & José M. Labeaga & J. David López-Salido, 2005. "Consumption and Habits: Evidence from Panel Data," Economic Journal, Royal Economic Society, vol. 115(500), pages 144-165, January.

    More about this item

    Keywords

    Nonlinear models; Classical measurement errors; Habit formation; Intertemporal elasticity of substitution; Relative risk aversion;
    All these keywords.

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • 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
    • C33 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Models with Panel Data; Spatio-temporal Models
    • 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:pra:mprapa:34329. 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: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.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.