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Saving Rates and Portfolio Choice with Subsistence Consumption

Author

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  • Carolina Achury

    (University of Exeter)

  • Sylwia Hubar

    (University of Exeter)

  • Christos Koulovatianos

    (University of Nottingham)

Abstract

We analytically show that a common across rich/poor individuals Stone-Geary utility function with subsistence consumption in the context of a simple two-asset portfolio-choice model is capable of qualitatively and quantitatively explaining: (i) the higher saving rates of the rich, (ii) the higher fraction of personal wealth held in risky assets by the rich, and (iii) the higher volatility of consumption of the wealthier. On the contrary, time-variant "keeping-up-with-the-Joneses" weighted average consumption which plays the role of moving benchmark subsistence consumption gives the same portfolio composition and saving rates across the rich and the poor, failing to reconcile the model with what micro data say. (Copyright: Elsevier)

Suggested Citation

  • Carolina Achury & Sylwia Hubar & Christos Koulovatianos, 2012. "Saving Rates and Portfolio Choice with Subsistence Consumption," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 15(1), pages 108-126, January.
    • Handle: RePEc:red:issued:10-11
    DOI: 10.1016/j.red.2011.01.002
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    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. 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.
    4. Francisco Gomes & Alexander Michaelides, 2003. "Portfolio Choice With Internal Habit Formation: A Life-Cycle Model With Uninsurable Labor Income Risk," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 6(4), pages 729-766, October.
    5. De Graeve, Ferre & Dossche, Maarten & Emiris, Marina & Sneessens, Henri & Wouters, Raf, 2010. "Risk premiums and macroeconomic dynamics in a heterogeneous agent model," Journal of Economic Dynamics and Control, Elsevier, vol. 34(9), pages 1680-1699, September.
    6. Charles Grant & Christos Koulovatianos & Alexander Michaelides & Mario Padula, 2010. "Evidence on the Insurance Effect of Redistributive Taxation," The Review of Economics and Statistics, MIT Press, vol. 92(4), pages 965-973, November.
    7. Hyeng Keun Koo, 1998. "Consumption and Portfolio Selection with Labor Income: A Continuous Time Approach," Mathematical Finance, Wiley Blackwell, vol. 8(1), pages 49-65, January.
    8. Sethi, Suresh P. & Taksar, Michael I. & Presman, Ernst L., 1992. "Explicit solution of a general consumption/portfolio problem with subsistence consumption and bankruptcy," Journal of Economic Dynamics and Control, Elsevier, vol. 16(3-4), pages 747-768.
    9. Merton, Robert C., 1971. "Optimum consumption and portfolio rules in a continuous-time model," Journal of Economic Theory, Elsevier, vol. 3(4), pages 373-413, December.
    10. Fatih Guvenen, 2009. "A Parsimonious Macroeconomic Model for Asset Pricing," Econometrica, Econometric Society, vol. 77(6), pages 1711-1750, November.
    11. Weinbaum, David, 2005. "Subsistence consumption, habit formation and the demand for long-term bonds," Journal of Economics and Business, Elsevier, vol. 57(4), pages 273-287.
    12. Markus K. Brunnermeier & Stefan Nagel, 2008. "Do Wealth Fluctuations Generate Time-Varying Risk Aversion? Micro-evidence on Individuals," American Economic Review, American Economic Association, vol. 98(3), pages 713-736, June.
    13. John Y. Campbell & John Cochrane, 1999. "Force of Habit: A Consumption-Based Explanation of Aggregate Stock Market Behavior," Journal of Political Economy, University of Chicago Press, vol. 107(2), pages 205-251, April.
    14. Christos Koulovatianos & Polina Minkovski & Carsten Schröder, 2009. "Per-capita income versus household-need adjusted income: a cross-country comparison," Journal of Income Distribution, Ad libros publications inc., vol. 18(3-4), pages 11-23, September.
    15. Jonathan Heathcote & Fabrizio Perri & Giovanni L. Violante, 2010. "Unequal We Stand: An Empirical Analysis of Economic Inequality in the United States: 1967-2006," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 13(1), pages 15-51, January.
    16. Michael Haliassos & Alexander Michaelides, 2003. "Portfolio Choice and Liquidity Constraints," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 44(1), pages 143-177, February.
    17. Wachter, Jessica A., 2006. "A consumption-based model of the term structure of interest rates," Journal of Financial Economics, Elsevier, vol. 79(2), pages 365-399, February.
    18. Christos Koulovatianos & Carsten Schröder & Ulrich Schmidt, 2008. "Confronting the Robinson Crusoe paradigm with household-size heterogeneity," Levine's Working Paper Archive 122247000000002324, David K. Levine.
    19. Chatterjee, Satyajit, 1994. "Transitional dynamics and the distribution of wealth in a neoclassical growth model," Journal of Public Economics, Elsevier, vol. 54(1), pages 97-119, May.
    20. Christopher J. Malloy & Tobias J. Moskowitz & Annette Vissing‐Jørgensen, 2009. "Long‐Run Stockholder Consumption Risk and Asset Returns," Journal of Finance, American Finance Association, vol. 64(6), pages 2427-2479, December.
    21. Karen E. Dynan & Jonathan Skinner & Stephen P. Zeldes, 2004. "Do the Rich Save More?," Journal of Political Economy, University of Chicago Press, vol. 112(2), pages 397-444, April.
    22. Jaume Ventura & Francesco Caselli, 2000. "A Representative Consumer Theory of Distribution," American Economic Review, American Economic Association, vol. 90(4), pages 909-926, September.
    23. Jessica A. Wachter & Motohiro Yogo, 2010. "Why Do Household Portfolio Shares Rise in Wealth?," The Review of Financial Studies, Society for Financial Studies, vol. 23(11), pages 3929-3965, November.
    24. Duffie, Darrell & Fleming, Wendell & Soner, H. Mete & Zariphopoulou, Thaleia, 1997. "Hedging in incomplete markets with HARA utility," Journal of Economic Dynamics and Control, Elsevier, vol. 21(4-5), pages 753-782, May.
    25. Yeung Lewis Chan & Leonid Kogan, 2002. "Catching Up with the Joneses: Heterogeneous Preferences and the Dynamics of Asset Prices," Journal of Political Economy, University of Chicago Press, vol. 110(6), pages 1255-1285, December.
    26. Koulovatianos, Christos & Schröder, Carsten & Schmidt, Ulrich, 2006. "Family-type subsistence incomes," Discussion Papers 2006/5, Free University Berlin, School of Business & Economics.
    27. Christos Koulovatianos, 2005. "Preferences and the Dynamic Representative Consumer," Vienna Economics Papers 0505, University of Vienna, Department of Economics.
    28. Ioannis Karatzas & John P. Lehoczky & Suresh P. Sethi & Steven E. Shreve, 1986. "Explicit Solution of a General Consumption/Investment Problem," Mathematics of Operations Research, INFORMS, vol. 11(2), pages 261-294, May.
    29. Donaldson, David & Pendakur, Krishna, 2006. "The Identification of Fixed Costs From Consumer Behavior," Journal of Business & Economic Statistics, American Statistical Association, vol. 24, pages 255-265, July.
    30. 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.
    31. Grishchenko, Olesya V., 2010. "Internal vs. external habit formation: The relative importance for asset pricing," Journal of Economics and Business, Elsevier, vol. 62(3), pages 176-194, May.
    32. Henderson, Vicky, 2005. "Explicit solutions to an optimal portfolio choice problem with stochastic income," Journal of Economic Dynamics and Control, Elsevier, vol. 29(7), pages 1237-1266, July.
    33. 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.
    34. Merton, Robert C, 1969. "Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case," The Review of Economics and Statistics, MIT Press, vol. 51(3), pages 247-257, August.
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    3. Antony, Jürgen & Klarl, Torben, 2019. "Resource depletion in a Ramsey economy with subsistence consumption, exogenous technical change and capital depreciation: A full characterization," VfS Annual Conference 2019 (Leipzig): 30 Years after the Fall of the Berlin Wall - Democracy and Market Economy 203640, Verein für Socialpolitik / German Economic Association.
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    5. Hubar, Sylwia & Koulovatianos, Christos & Li, Jian, 2020. "The role of labor-income risk in household risk-taking," European Economic Review, Elsevier, vol. 129(C).
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    7. Milton Camelo Rincón & Jacobo Campo Robledo, 2016. "Modelo de consumo de vivienda óptimo: estimaciones para Bogotá," Revista Facultad de Ciencias Económicas, Universidad Militar Nueva Granada, vol. 25(1), pages 75-93, December.
    8. Levaggi, Rosella & Menoncin, Francesco, 2013. "Optimal dynamic tax evasion," Journal of Economic Dynamics and Control, Elsevier, vol. 37(11), pages 2157-2167.
    9. Antony, Jürgen & Klarl, Torben, 2019. "Non-renewable resources, subsistence consumption, and Hartwick's investment rule," Resource and Energy Economics, Elsevier, vol. 55(C), pages 124-142.
    10. Fortin, Ines & Hlouskova, Jaroslava & Tsigaris, Panagiotis, 2016. "The Consumption-Investment Decision of a Prospect Theory Household," Economics Series 322, Institute for Advanced Studies.
    11. Russell Cooper & Guozhong Zhu, 2016. "Household Finance over the Life-Cycle: What does Education Contribute?," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 20, pages 63-89, April.
    12. Antony, Jürgen & Klarl, Torben, 2023. "Subsistence consumption and natural resource depletion: Can resource-rich low-income countries realize sustainable consumption paths?," Journal of Macroeconomics, Elsevier, vol. 77(C).
    13. Koulovatianos, Christos & Schröder, Carsten & Schmidt, Ulrich, 2019. "Do demographics prevent consumption aggregates from reflecting micro-level preferences?," European Economic Review, Elsevier, vol. 111(C), pages 166-190.
    14. Jürgen Antony & Torben Klarl, 2019. "Non-Renewable Resources in a Ramsey Economy with Subsistence Consumption, Human and Physical Capital Accumulation: A full Characterization," Bremen Papers on Economics & Innovation 1904, University of Bremen, Faculty of Business Studies and Economics.
    15. Ricardo Bebczuk & Leonardo Gasparini & Noelia Garbero & Julian Amendolaggine, 2015. "Understanding the Determinants of Household Saving: Micro Evidence for Latin America," CEDLAS, Working Papers 0189, CEDLAS, Universidad Nacional de La Plata.
    16. Hlouskova, Jaroslava & Fortin, Ines & Tsigaris, Panagiotis, 2017. "The consumption–investment decision of a prospect theory household: A two-period model," Journal of Mathematical Economics, Elsevier, vol. 70(C), pages 74-89.
    17. Studer, Sabrina & Falkinger, Josef & Zhao, Yingnan, 2015. "Explaining structural changes towards and within the financial sector," VfS Annual Conference 2015 (Muenster): Economic Development - Theory and Policy 113004, Verein für Socialpolitik / German Economic Association.
    18. Li, Qian & Shim, Myungkyu & Wen, Yongheng, 2017. "The implication of subsistence consumption for economic welfare," Economics Letters, Elsevier, vol. 158(C), pages 30-33.
    19. Christos Koulovatianos & Carsten Schröder, 2023. "Income-dependent equivalence scales and choice theory: implications for poverty measurement," Chapters, in: Jacques Silber (ed.), Research Handbook on Measuring Poverty and Deprivation, chapter 4, pages 39-49, Edward Elgar Publishing.
    20. Sangyup Choi & Myungkyu Shim, 2018. "Labor Market Dynamics in Developing Economies: the Role of Subsistence Consumption," Working papers 2018rwp-127, Yonsei University, Yonsei Economics Research Institute.
    21. Antony, Jürgen & Klarl, Torben, 2022. "Poverty and sustainable development around the world during transition periods," Energy Economics, Elsevier, vol. 110(C).
    22. Erauskin, Iñaki & Gardeazabal, Javier, 2017. "The terms of trade, the external balance, and the size of the net foreign asset position," International Review of Economics & Finance, Elsevier, vol. 50(C), pages 245-260.

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    More about this item

    Keywords

    Elasticity of intertemporal substitution; Stone-Geary preferences; Two-asset portfolio; Household portfolios; Wealth inequality; Controlled diffusion;
    All these keywords.

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • 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
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D14 - Microeconomics - - Household Behavior - - - Household Saving; Personal Finance
    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory

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