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Asset Prices and Efficiency in a Krebs Economy

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  • Alexis Akira Toda

    (University of California San Diego)

Abstract

I study the asset pricing implications and the efficiency of a tractable dynamic stochastic general equilibrium model with heterogeneous agents and incomplete markets along the lines of Krebs [Krebs, T., 2003. Human Capital Risk and Economic Growth. Quarterly Journal of Economics 118(2), 709-744]. Contrary to previous applications of these types of models, I find that generically the distribution of idiosyncratic shocks affects the risk premia of aggregate shocks and that the equilibrium is constrained inefficient in the sense that a planner can Pareto improve the equilibrium outcome by assigning different portfolio choices to agents. The inefficiency is caused by a 'portfolio externality': the average portfolio of the economy affects the portfolio return of each agent. The constrained efficient outcome can be achieved through linear taxes and subsidies that I characterize in closed-form. (Copyright: Elsevier)

Suggested Citation

  • Alexis Akira Toda, 2015. "Asset Prices and Efficiency in a Krebs Economy," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 18(4), pages 957-978, October.
  • Handle: RePEc:red:issued:13-196
    DOI: 10.1016/j.red.2014.11.003
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    References listed on IDEAS

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    1. Mehra, Rajnish & Prescott, Edward C., 1985. "The equity premium: A puzzle," Journal of Monetary Economics, Elsevier, vol. 15(2), pages 145-161, March.
    2. Constantinides, George M & Duffie, Darrell, 1996. "Asset Pricing with Heterogeneous Consumers," Journal of Political Economy, University of Chicago Press, vol. 104(2), pages 219-240, April.
    3. Kocherlakota, Narayana R, 1990. " Disentangling the Coefficient of Relative Risk Aversion from the Elasticity of Intertemporal Substitution: An Irrelevance Result," Journal of Finance, American Finance Association, vol. 45(1), pages 175-190, March.
    4. Telmer, Chris I, 1993. " Asset-Pricing Puzzles and Incomplete Markets," Journal of Finance, American Finance Association, vol. 48(5), pages 1803-1832, December.
    5. Hanno Lustig & Stijn Van Nieuwerburgh, 2008. "The Returns on Human Capital: Good News on Wall Street is Bad News on Main Street," Review of Financial Studies, Society for Financial Studies, vol. 21(5), pages 2097-2137, September.
    6. Piero Gottardi & Atsushi Kajii & Tomoyuki Nakajima, 2010. "Optimal taxation and constrained inefficiency in an infinite-horizon economy with incomplete markets," KIER Working Papers 745, Kyoto University, Institute of Economic Research.
    7. Tom Krebs, 2003. "Human Capital Risk and Economic Growth," The Quarterly Journal of Economics, Oxford University Press, vol. 118(2), pages 709-744.
    8. Julio Dávila & Jay H. Hong & Per Krusell & José‐Víctor Ríos‐Rull, 2012. "Constrained Efficiency in the Neoclassical Growth Model With Uninsurable Idiosyncratic Shocks," Econometrica, Econometric Society, vol. 80(6), pages 2431-2467, November.
    9. Atsushi Kajii & Antonio Villanacci & Alessandro Citanna, 1998. "Constrained suboptimality in incomplete markets: a general approach and two applications," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(3), pages 495-521.
    10. S. Rao Aiyagari, 1994. "Uninsured Idiosyncratic Risk and Aggregate Saving," The Quarterly Journal of Economics, Oxford University Press, vol. 109(3), pages 659-684.
    11. Saito, Makoto, 1998. "A simple model of incomplete insurance the case of permanent shocks," Journal of Economic Dynamics and Control, Elsevier, vol. 22(5), pages 763-777, May.
    12. Tom Krebs, 2006. "Recursive equilibrium in endogenous growth models with incomplete markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(3), pages 505-523, November.
    13. Per Krusell & Anthony A. Smith & Jr., 1998. "Income and Wealth Heterogeneity in the Macroeconomy," Journal of Political Economy, University of Chicago Press, vol. 106(5), pages 867-896, October.
    14. Toda, Alexis Akira, 2014. "Incomplete market dynamics and cross-sectional distributions," Journal of Economic Theory, Elsevier, vol. 154(C), pages 310-348.
    15. George-Marios Angeletos, 2007. "Uninsured Idiosyncratic Investment Risk and Aggregate Saving," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 10(1), pages 1-30, January.
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    17. Mark Rubinstein, 1976. "The Valuation of Uncertain Income Streams and the Pricing of Options," Bell Journal of Economics, The RAND Corporation, vol. 7(2), pages 407-425, Autumn.
    18. Geanakoplos, J. & Magill, M. & Quinzii, M. & Dreze, J., 1990. "Generic inefficiency of stock market equilibrium when markets are incomplete," Journal of Mathematical Economics, Elsevier, vol. 19(1-2), pages 113-151.
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    Cited by:

    1. Alexis Akira Toda & Kieran James Walsh, 2017. "Fat tails and spurious estimation of consumption‐based asset pricing models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 32(6), pages 1156-1177, September.
    2. Krebs, Tom & Scheffel, Martin, 2016. "Quantifizierung der gesamtwirtschaftlichen Effekte ausgewählter Reformvorschläge der Studie "Reforms, Investment and Growth: An Agenda for France, Germany and Europe"," Working Papers 16-04, University of Mannheim, Department of Economics.
    3. Tom Krebs & Moritz Kuhn & Mark Wright, 2017. "Under-Insurance in Human Capital Models with Limited Enforcement," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 25, pages 121-150, April.

    More about this item

    Keywords

    AK models; Constrained efficiency; Externality; Idiosyncratic risk; Incomplete markets; Optimal taxation;

    JEL classification:

    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
    • D58 - Microeconomics - - General Equilibrium and Disequilibrium - - - Computable and Other Applied General Equilibrium Models
    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth
    • E22 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Investment; Capital; Intangible Capital; Capacity
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • H21 - Public Economics - - Taxation, Subsidies, and Revenue - - - Efficiency; Optimal Taxation
    • H23 - Public Economics - - Taxation, Subsidies, and Revenue - - - Externalities; Redistributive Effects; Environmental Taxes and Subsidies

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