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The Long-run Effects of Household Liquidity Constraints and Taxation on Fertility, Education, Saving and Growth

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Papagni, Erasmo

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Abstract

This paper investigates economic growth under liquidity constraints by taking into account the choices of fertility, human capital and saving. In a model of four overlapping generations, parents are altruistic towards their offspring and finance their education investment. The government provides education subsidies to young adult parents and levies taxes on income of the adult generation. Sensitivity analysis on borrowing limits and tax parameters highlights effects with opposite sign on the main endogenous variables at steady state. A lift in liquidity constraints decreases savings and capital accumulation and this effect is responsible for the ambiguous sign of comparative statics on the rate of fertility and on human capital investment. From model simulation, we derive an inverted U-shaped curve relating the borrowing limit with fertility, education and growth, meaning that financial reforms in the less developed countries have positive effects on the economy in the long-run, even if they raise fertility and reduce savings. Greater government subsidies to human capital investments and lower income taxes have positive effects on savings and fertility. The same parameters present ambiguous effects on education investments and growth. Numerical simulations show that a) human capital investment has an inverted U-shaped relation with income taxes and education subsidies ; b) economic growth decreases with greater income taxes and increases with higher education subsidies. Jel codes: O40, O16, J13, D91.

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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 12793.

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Date of creation: May 2008
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Handle: RePEc:pra:mprapa:12793

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Related research
Keywords: Borrowing constraints; taxation; endogenous population; economic growth;

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Find related papers by JEL classification:
J13 - Labor and Demographic Economics - - Demographic Economics - - - Fertility; Family Planning; Child Care; Children; Youth
D91 - Microeconomics - - Intertemporal Choice and Growth - - - Intertemporal Consumer Choice; Life Cycle Models and Saving
O16 - Economic Development, Technological Change, and Growth - - Economic Development - - - Financial Markets; Saving and Capital Investment
O40 - Economic Development, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - General

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    Other versions:
  5. Jappelli, Tullio & Pagano, Marco, 1999. "The Welfare Effects of Liquidity Constraints," Oxford Economic Papers, Oxford University Press, vol. 51(3), pages 410-30, July.
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  13. Gary S. Becker & Kevin M. Murphy & Robert Tamura, . "Human Capital, Fertility, and Economic Growth," University of Chicago - Population Research Center 90-5a, Chicago - Population Research Center. [Downloadable!]
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  14. Hanushek, Eric A, 1992. "The Trade-Off between Child Quantity and Quality," Journal of Political Economy, University of Chicago Press, vol. 100(1), pages 84-117, February. [Downloadable!] (restricted)
  15. Norman Loayza & Klaus Schmidt-Hebbel & Luis Servén, 2000. "What Drives Private Saving Across the World?," The Review of Economics and Statistics, MIT Press, vol. 82(2), pages 165-181, May. [Downloadable!] (restricted)
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  16. David Andolfatto & Martin Gervais, 2006. "Human Capital Investment and Debt Constraints," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 9(1), pages 52-67, January. [Downloadable!] (restricted)
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  17. Papagni, Erasmo, 2006. "Household borrowing constraints, fertility dynamics, and economic growth," Journal of Economic Dynamics and Control, Elsevier, vol. 30(1), pages 27-54, January. [Downloadable!] (restricted)
  18. Cigno, Alessandro & Rosati, Furio C., 1996. "Jointly determined saving and fertility behaviour: Theory, and estimates for Germany, Italy, UK and USA," European Economic Review, Elsevier, vol. 40(8), pages 1561-1589, November. [Downloadable!] (restricted)
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