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Optimal consumption with time-inconsistent preferences

Author

Listed:
  • Liya Liu

    (Shanghai Institute of International Finance and Economics
    Shanghai University of Finance and Economics)

  • Yingjie Niu

    (Shanghai University of Finance and Economics)

  • Yuanping Wang

    (Shanghai University of Finance and Economics
    Shanxi University of Finance and Economics)

  • Jinqiang Yang

    (Shanghai Institute of International Finance and Economics
    Shanghai University of Finance and Economics)

Abstract

This paper extends the standard continuous-time buffer-stock savings model with borrowing constraints by introducing time-inconsistent agent preferences. Interestingly, it predicts that time-inconsistent preferences will strengthen the consumption motive, and this makes the agent’s borrowing constraints more severe and generates higher MPCs out of liquidity, which provides an alternative explanation for the “excess sensitivity” to liquidity from the perspective of time-inconsistent preferences. Moreover, by incorporating time-inconsistent preferences, our theoretical model also provides support for the empirical evidence of “excess smoothness.”

Suggested Citation

  • Liya Liu & Yingjie Niu & Yuanping Wang & Jinqiang Yang, 2020. "Optimal consumption with time-inconsistent preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(3), pages 785-815, October.
    • Handle: RePEc:spr:joecth:v:70:y:2020:i:3:d:10.1007_s00199-019-01228-1
    DOI: 10.1007/s00199-019-01228-1
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    as
    1. Wang, Chong & Wang, Neng & Yang, Jinqiang, 2016. "Optimal consumption and savings with stochastic income and recursive utility," Journal of Economic Theory, Elsevier, vol. 165(C), pages 292-331.
    2. Matthew Rabin & Ted O'Donoghue, 1999. "Doing It Now or Later," American Economic Review, American Economic Association, vol. 89(1), pages 103-124, March.
    3. Grenadier, Steven R. & Wang, Neng, 2007. "Investment under uncertainty and time-inconsistent preferences," Journal of Financial Economics, Elsevier, vol. 84(1), pages 2-39, April.
    4. David I. Laibson & Andrea Repetto & Jeremy Tobacman, 1998. "Self-Control and Saving for Retirement," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 29(1), pages 91-196.
    5. Caillaud, Bernard & Jullien, Bruno, 2000. "Modelling time-inconsistent preferences," European Economic Review, Elsevier, vol. 44(4-6), pages 1116-1124, May.
    6. Hryshko, Dmytro, 2014. "Correlated income shocks and excess smoothness of consumption," Journal of Economic Dynamics and Control, Elsevier, vol. 48(C), pages 41-62.
    7. John Campbell & Angus Deaton, 1989. "Why is Consumption So Smooth?," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 56(3), pages 357-373.
    8. Stephen P. Zeldes, 1989. "Optimal Consumption with Stochastic Income: Deviations from Certainty Equivalence," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 104(2), pages 275-298.
    9. Harris, Christopher & Laibson, David, 2001. "Dynamic Choices of Hyperbolic Consumers," Econometrica, Econometric Society, vol. 69(4), pages 935-957, July.
    10. Holger Kraft & Claus Munk & Frank Thomas Seifried & Sebastian Wagner, 2017. "Consumption habits and humps," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 64(2), pages 305-330, August.
    11. He, Hua & Pages, Henri F, 1993. "Labor Income, Borrowing Constraints, and Equilibrium Asset Prices," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(4), pages 663-696, October.
    12. Thaler, Richard, 1981. "Some empirical evidence on dynamic inconsistency," Economics Letters, Elsevier, vol. 8(3), pages 201-207.
    13. 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.
    14. repec:fth:harver:1435 is not listed on IDEAS
    15. Per Krusell & Anthony A. Smith, Jr., 2003. "Consumption--Savings Decisions with Quasi--Geometric Discounting," Econometrica, Econometric Society, vol. 71(1), pages 365-375, January.
    16. Christopher Harris & David Laibson, 2013. "Instantaneous Gratification," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 128(1), pages 205-248.
    17. 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.
    18. E. S. Phelps & R. A. Pollak, 1968. "On Second-Best National Saving and Game-Equilibrium Growth," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 35(2), pages 185-199.
    19. Fatih Guvenen, 2007. "Learning Your Earning: Are Labor Income Shocks Really Very Persistent?," American Economic Review, American Economic Association, vol. 97(3), pages 687-712, June.
    20. Tommaso Gabrieli & Sayantan Ghosal, 2013. "Non-existence of competitive equilibria with dynamically inconsistent preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 52(1), pages 299-313, January.
    21. Salanie, Francois & Treich, Nicolas, 2006. "Over-savings and hyperbolic discounting," European Economic Review, Elsevier, vol. 50(6), pages 1557-1570, August.
    22. 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.
    23. Marín-Solano, Jesús & Navas, Jorge, 2010. "Consumption and portfolio rules for time-inconsistent investors," European Journal of Operational Research, Elsevier, vol. 201(3), pages 860-872, March.
    24. Sundaresan, Suresh M, 1989. "Intertemporally Dependent Preferences and the Volatility of Consumption and Wealth," The Review of Financial Studies, Society for Financial Studies, vol. 2(1), pages 73-89.
    25. George Loewenstein & Drazen Prelec, 1992. "Anomalies in Intertemporal Choice: Evidence and an Interpretation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 107(2), pages 573-597.
    26. Dan Cao & Iván Werning, 2016. "Dynamic Savings Choices with Disagreements," NBER Working Papers 22007, National Bureau of Economic Research, Inc.
    27. Christopher D. Carroll, 2001. "A Theory of the Consumption Function, with and without Liquidity Constraints," Journal of Economic Perspectives, American Economic Association, vol. 15(3), pages 23-45, Summer.
    28. Dan Cao & Iván Werning, 2018. "Saving and Dissaving With Hyperbolic Discounting," Econometrica, Econometric Society, vol. 86(3), pages 805-857, May.
    29. Sydney C. Ludvigson & Alexander Michaelides, 2001. "Does Buffer-Stock Saving Explain the Smoothness and Excess Sensitivity of Consumption?," American Economic Review, American Economic Association, vol. 91(3), pages 631-647, June.
    30. li, Hong & Mu, Congming & Yang, Jinqiang, 2016. "Optimal contract theory with time-inconsistent preferences," Economic Modelling, Elsevier, vol. 52(PB), pages 519-530.
    31. Flavin, Marjorie A, 1981. "The Adjustment of Consumption to Changing Expectations about Future Income," Journal of Political Economy, University of Chicago Press, vol. 89(5), pages 974-1009, October.
    32. David Laibson, 1997. "Golden Eggs and Hyperbolic Discounting," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(2), pages 443-478.
    33. David I. Laibson, 1996. "Hyperbolic Discount Functions, Undersaving, and Savings Policy," NBER Working Papers 5635, National Bureau of Economic Research, Inc.
    34. Black, Fischer, 1990. "Mean Reversion and Consumption Smoothing," The Review of Financial Studies, Society for Financial Studies, vol. 3(1), pages 107-114.
    35. Nicholas S. Souleles, 1999. "The Response of Household Consumption to Income Tax Refunds," American Economic Review, American Economic Association, vol. 89(4), pages 947-958, September.
    36. Tullio Jappelli & Luigi Pistaferri, 2011. "Financial Integration and Consumption Smoothing," Economic Journal, Royal Economic Society, vol. 121(553), pages 678-706, June.
    37. Caballero, Ricardo J., 1990. "Consumption puzzles and precautionary savings," Journal of Monetary Economics, Elsevier, vol. 25(1), pages 113-136, January.
    38. P. Herings & Kirsten Rohde, 2006. "Time-inconsistent preferences in a general equilibrium model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(3), pages 591-619, November.
    39. Gert Peersman & Lorenzo Pozzi, 2008. "Business Cycle Fluctuations and Excess Sensitivity of Private Consumption," Economica, London School of Economics and Political Science, vol. 75(299), pages 514-523, August.
    40. R. H. Strotz, 1955. "Myopia and Inconsistency in Dynamic Utility Maximization," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 23(3), pages 165-180.
    41. David B. Gross & Nicholas S. Souleles, 2002. "Do Liquidity Constraints and Interest Rates Matter for Consumer Behavior? Evidence from Credit Card Data," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 117(1), pages 149-185.
    42. Erzo G. J. Luttmer & Thomas Mariotti, 2003. "Subjective Discounting in an Exchange Economy," Journal of Political Economy, University of Chicago Press, vol. 111(5), pages 959-989, October.
    43. Akerlof, George A, 1991. "Procrastination and Obedience," American Economic Review, American Economic Association, vol. 81(2), pages 1-19, May.
    44. Jonathan A. Parker, 1999. "The Reaction of Household Consumption to Predictable Changes in Social Security Taxes," American Economic Review, American Economic Association, vol. 89(4), pages 959-973, September.
    45. 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.
    46. Constantinides, George M, 1990. "Habit Formation: A Resolution of the Equity Premium Puzzle," Journal of Political Economy, University of Chicago Press, vol. 98(3), pages 519-543, June.
    47. Scott Ross Baker & Contantine Yannelis, 2017. "Income Changes and Consumption: Evidence from the 2013 Federal Government Shutdown," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 23, pages 99-124, January.
    48. Marjorie Flavin, 1993. "The Excess Smoothness of Consumption: Identification and Interpretation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 60(3), pages 651-666.
    49. Angus Deaton, 1986. "Life-Cycle Models of Consumption: Is the Evidence Consistent with the Theory?," NBER Working Papers 1910, National Bureau of Economic Research, Inc.
    50. Robert J. Barro, 1999. "Ramsey Meets Laibson in the Neoclassical Growth Model," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(4), pages 1125-1152.
    51. María José Luengo-Prado & Bent E. Sørensen, 2008. "What Can Explain Excess Smoothness and Sensitivity of State-Level Consumption?," The Review of Economics and Statistics, MIT Press, vol. 90(1), pages 65-80, February.
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    Cited by:

    1. Li, Shilin & Li, Tongtong & Yang, Jinqiang, 2022. "Optimal consumption and portfolio choices in the stochastic SIS model," The North American Journal of Economics and Finance, Elsevier, vol. 63(C).
    2. Shigeta, Yuki, 2022. "Quasi-hyperbolic discounting under recursive utility and consumption–investment decisions," Journal of Economic Theory, Elsevier, vol. 204(C).
    3. Paul Calcott & Vladimir Petkov, 2022. "Excessive consumption and present bias," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 74(1), pages 113-134, July.
    4. Shinsuke Ikeda & Takeshi Ojima, 2021. "Tempting goods, self-control fatigue, and time preference in consumer dynamics," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 72(4), pages 1171-1216, November.
    5. Chen, Shumin & Luo, Dan & Yao, Haixiang, 2024. "Optimal investor life cycle decisions with time-inconsistent preferences," Journal of Banking & Finance, Elsevier, vol. 161(C).
    6. Joydeep Bhattacharya & Monisankar Bishnu & Min Wang, 2023. "Credit Markets with time-inconsistent agents and strategic loan default," Discussion Papers 23-01, Indian Statistical Institute, Delhi.
    7. Li, Yuan & Yang, Jinqiang & Zhao, Siqi, 2022. "Present-biased government and sovereign debt dynamics," Journal of Mathematical Economics, Elsevier, vol. 98(C).
    8. Yanzhao Li & Ju-e Guo & Shaolong Sun & Yongwu Li, 2022. "How time-inconsistent preferences influence venture capital exit decisions? A new perspective for grandstanding," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 8(1), pages 1-24, December.

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    More about this item

    Keywords

    Time-inconsistent preferences; MPC; Excess sensitivity; Excess smoothness;
    All these keywords.

    JEL classification:

    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making
    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

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