A New Method of Estimating Risk Aversion

This paper develops a method of estimating the coefficient of relative risk aversion (g) from data on labor supply. The main result is that existing estimates of labor supply elasticities place a tight bound on g, without any assumptions beyond those of expected utility theory. It is shown that the curvature of the utility function is directly related to the ratio of the income elasticity of labor supply to the wage elasticity, holding fixed the degree of complementarity between consumption and leisure. The degree of complementarity can in turn be inferred from data on consumption choices when employment is stochastic. Using a large set of existing estimates of wage and income elasticities, I find a mean estimate of g = 1. I also give a calibration argument showing that a positive uncompensated wage elasticity, as found in most studies of labor supply, implies g

[1]  Thomas F. Crossley,et al.  Unemployment insurance levels and consumption changes , 2001 .

[2]  E. Prescott.  Theory ahead of business-cycle measurement , 1986 .

[3]  C. Mulligan.  A Century of Labor-Leisure Distortions , 2002 .

[4]  Leora Friedberg,et al.  The Labor Supply Effects of the Social Security Earnings Test , 1999, Review of Economics and Statistics.

[5]  Hans G. Bloemen,et al.  Financial Wealth, Consumption Smoothing and Income Shocks Arising from Job Loss , 2005 .

[6]  Tax Avoidance and the Deadweight Loss of the Income Tax , 1999 .

[7]  C. Starmer.  Developments in Non-expected Utility Theory: The Hunt for a Descriptive Theory of Choice under Risk , 2000 .

[8]  Daniel L. Rubin,et al.  Estimating the Effect of Unearned Income on Labor Supply, Earnings, Savings, and Consumption: Evidence from a Survey of Lottery Players , 1999 .

[9]  Emmanuel Saez.  The Effect of Marginal Tax Rates on Income: A Panel Study of 'Bracket Creep' , 2003 .

[10]  P. Gertler,et al.  Insuring Consumption Against Illness , 1997, The American economic review.

[11]  Alan B. Krueger,et al.  Economists' Views about Parameters, Values, and Policies: Survey Results in Labor and Public Economics , 1998 .

[12]  Thomas MaCurdy,et al.  An Empirical Model of Labor Supply in a Life-Cycle Setting , 1981, Journal of Political Economy.

[13]  Tax Effects on Work Activity, Industry Mix and Shadow Economy Size: Evidence from Rich-Country Comparisons , 2004 .

[14]  Harry J. Paarsch,et al.  Assessing Empirical Approaches for Analyzing Taxes and Labor Supply , 1990 .

[15]  Martin Browning,et al.  A Profitable Approach to Labor Supply and Commodity Demands over the Life-Cycle , 1985 .

[16]  Edward C. Prescott,et al.  Theory ahead of business cycle measurement , 1986 .

[17]  Gerald E. Auten,et al.  The Effect of Income Taxes on Household Income , 1999, Review of Economics and Statistics.

[18]  S. Davis,et al.  Tax Effects on Work Activity, Industry Mix and Shadow Economy Size: Evidence from Rich-Country Comparisons , 2004 .

[19]  John H. Cochrane,et al.  A Simple Test of Consumption Insurance , 1991, Journal of Political Economy.

[20]  Mark Aguiar,et al.  Consumption vs. Expenditure , 2004 .

[21]  Emmanuel Saez,et al.  The Elasticity of Taxable Income: Evidence and Implications , 2000 .

[22]  J. Hausman.  Taxes and Labor Supply , 1983 .

[23]  R. Mehra,et al.  THE EQUITY PREMIUM A Puzzle , 1985 .

[24]  Jonathan Gruber,et al.  The Consumption Smoothing Benefits of Unemployment Insurance , 1994 .

[25]  M. Feldstein.  Tax Avoidance and the Deadweight Loss of the Income Tax , 1995, Review of Economics and Statistics.

[26]  Matti Tuomala.  On optimal non-linear income taxation: numerical results revisited , 2010 .

[27]  B. Bernheim,et al.  What Accounts for the Variation in Retirement Wealth Among U.S. Households? , 1997 .

[28]  Karen E. Dynan.  Habit Formation in Consumer Preferences: Evidence from Panel Data , 2000 .

[29]  Melvin Stephens.  The Long-Run Consumption Effects of Earnings Shocks , 1999, Review of Economics and Statistics.

[30]  Andrew Metrick,et al.  A Natural Experiment in "Jeopardy!" , 1995 .

[31]  John H. Pencavel,et al.  Chapter 1 Labor supply of men: A survey , 1986 .

[32]  D. Prelec.  The Probability Weighting Function , 1998 .

[33]  R. Hall.  Macroeconomics: Theory, performance, and policy , 1986 .

[34]  James J. Heckman,et al.  Micro data and general equilibrium models , 1999 .

[35]  B. Bernheim,et al.  What Accounts for the Variation in Retirement Wealth Among U.S. Households? , 1997 .

[36]  R. Blundell,et al.  Labor Supply: A Review of Alternative Approaches , 1998 .

[37]  M. Machina.  Choice under Uncertainty: Problems Solved and Unsolved , 1987 .

[38]  George G. Szpiro.  Measuring Risk Aversion: An Alternative Approach , 1986 .

[39]  Larry G. Epstein,et al.  Substitution, Risk Aversion, and the Temporal Behavior of Consumption and Asset Returns: An Empirical Analysis , 1991, Journal of Political Economy.

[40]  N. Kocherlakota.  The Equity Premium: It’s Still a Puzzle , 1999 .

[41]  Charles I. Plosser,et al.  Production, growth and business cycles , 1988 .

[42]  J. Gruber,et al.  Preliminary and Incomplete Comments Welcome Unemployment Insurance , Consumption Smoothing , and Private Insurance : Evidence from the PSID and CEX , 1996 .

[43]  Thomas F. Crossley,et al.  Unemployment Insurance Benefit Levels and Consumption Changes , 2001 .

[44]  Liran Einav,et al.  Estimating Risk Preferences from Deductible Choice , 2005 .

[45]  Miles S. Kimball,et al.  Preference Parameters and Behavioral Heterogeneity: An Experimental Approach in the Health and Retirement Survey , 1995 .

[46]  Mark Aguiar,et al.  Consumption versus Expenditure , 2005, Journal of Political Economy.

[47]  Charles I. Plosser,et al.  Growth and Business Cycles I. The Basic Neoclassical Model , 1988 .

[48]  D. Kahneman,et al.  Back to Bentham? Explorations of experience utility , 1997 .

[49]  Jacques Drèze,et al.  Essays on Economic Decisions under Uncertainty , 1990 .

[50]  R. Stambaugh,et al.  Asset Returns and Intertemporal Preferences , 1991 .

[51]  P. Weil.  Nonexpected Utility in Macroeconomics , 1990 .

[52]  M. Rabin.  Risk Aversion and Expected Utility Theory: A Calibration Theorem , 2000 .

[53]  Robert E. Hall.  Intertemporal Substitution in Consumption , 1988 .

[54]  Robert H. Gertner.  Game Shows and Economic Behavior: Risk-Taking on “Card Sharks” , 1993 .

[55]  Charles Wolf,et al.  THE RECOVERY OF RISK PREFERENCES FROM ACTUAL CHOICES , 1983 .

[56]  Richard Gonzalez,et al.  Curvature of the Probability Weighting Function , 1996 .

[57]  E. Prescott.  Why do Americans work so much more than Europeans , 2004 .

[58]  R. C. Merton,et al.  Labor Supply Flexibility and Portfolio Choice in a Life-Cycle Model , 1992 .

[59]  H. Hoynes,et al.  The Earned Income Tax Credit and the Labor Supply of Married Couples , 1998 .