Gete, Pedro and Porchia, Paolo (2010): Fertility and Consumption when Having a Child is a Risky Investment.
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In this paper we study a new factor that matters for fertility and consumption decisions: the risks associated with having and raising a child. We analyze a real options model with incomplete markets to explicitly model both children as a risky investment and the parental option to time fertility. We focus on CRRA preferences and uninsurable shocks to future parental income and to the costs of raising a child. We obtain several results that are new relative to the standard Beckerian fertility framework where children are deterministic goods: i) Independently of wealth, higher child cost volatility diminishes fertility. ii) Consumption is decreasing in higher cost volatility but the slope flattens as wealth increases. iii) Wealth alters the way in which the agent's risk tolerance impacts the fertility and consumption decisions. For low wealth levels, risk aversion speeds up fertility and lowers consumption with children serving as an utility insurance mechanism. iv) Fertility is increasing in the correlation between income and child cost shocks. v) The sign of this correlation determines if higher income volatility speeds up or delays fertility. vi) Fertility is U-shaped in the income over wealth ratio. Finally, we use regression analysis to provide empirical support for the theoretical results.
|Item Type:||MPRA Paper|
|Original Title:||Fertility and Consumption when Having a Child is a Risky Investment|
|English Title:||Fertility and Consumption when Having a Child is a Risky Investment|
|Keywords:||Fertility, Consumption, Real Options, Incomplete Markets|
|Subjects:||D - Microeconomics > D1 - Household Behavior and Family Economics > D10 - General
A - General Economics and Teaching > A1 - General Economics > A10 - General
G - Financial Economics > G0 - General > G00 - General
G - Financial Economics > G1 - General Financial Markets > G10 - General
D - Microeconomics > D1 - Household Behavior and Family Economics > D14 - Personal Finance
|Depositing User:||Pedro Gete|
|Date Deposited:||08. Jan 2011 01:58|
|Last Modified:||12. Feb 2013 18:32|
Ai, C. and Norton, E.: 2003, "Interaction terms in logit and probit models", Economics Letters 80(1), 123�129.
Becker, G.: 1960, "An economic analysis of fertility", Demographic and economic change in developed countries 11, 209�231.
Becker, G., Murphy, K. and Tamura, R.: 1990, "Human capital, fertility, and economic growth", Journal of Political Economy 98(5), 12�37.
Bhamra, H., Ferretti, R., Trojani, F. and Uppal, R.: 2007, "Solving for portfolio policies and asset prices using perturbation methods".
Brandt, M.: 2009, "Portfolio choice problems", Handbook of �nancial econometrics: Tools and techniques.
Caballero, R.: 1991, "Earnings uncertainty and aggregate wealth accumulation", The American Economic Review 81(4), 859�871.
Cardia, E. and Ng, S.: 2003, "Intergenerational time transfers and childcare", Review of Economic Dynamics 6(2), 431�454.
Chen, H., Miao, J. and Wang, N.: 2010, "Entrepreneurial Finance and Non Diversi�able Risk", forthcoming in Review of Financial Studies .
Davis, M.: 1997, Option pricing in incomplete markets. Mathematics of Derivative Securities, Editors: M.A.H. Dempster and S.R. Pliska. Cambridge University Press.
Dehejia, R. and Lleras-Muney, A.: 2004, "Booms, Busts, and Babies Health", Quarterly Journal of Economics 119(3), 1091�1130.
Dixit, A., Pindyck, R. and Davis, G.: 1994, Investment under uncertainty, Princeton University Press.
Henderson, V.: 2007, "Valuing the option to invest in an incomplete market", Mathematics and Financial Economics 1(2), 103�128.
Hsing, Y. and Rios, R.: 1995, "Testing the Quadratic Relationship between Economic Development and the Fertility Rate: A Comment [with Reply]", The American Economist
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