Journal of the Korean Society for Industrial and Applied Mathematics

  • 제16권2호
  • /
  • Pages.107-124
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  • 2012
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  • 1226-9433(pISSN)
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  • 1229-0645(eISSN)
한국산업응용수학회 (Korean Society for Industrial and Applied Mathematics)
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OPTIMAL CONSUMPTION AND SLUTSKY EQUATION WITH EPSTEIN-ZIN TYPE PREFERENCE

  • Ahn, Se-Ryoong (Department of Business Administration, Ajou University) ;
  • Koo, Hyeng-Keun (Department of Financial Engineering, Ajou University)
  • 투고 : 2012.03.19
  • 심사 : 2012.03.28
  • 발행 : 2012.06.25
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초록

In this paper we conduct comparative statics for optimal consumption and portfolio selection of an agent who has a utility function of Epstein and Zin type. We derive the Slutsky equations and decompose the total effects of changes into the substitution effects and the income effects. We identify the role of the elasticity of intertemporal substitution and the coefficient of relative risk aversion.

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참고문헌

  1. G. Pye, Portfolio Selection and Security Prices, Review of Economics and Statistics, 49 (1967), 111-115. https://doi.org/10.2307/1937889
  2. G. Bierwag and M. Grove, Slutsky Equations for Assets, Journal of Political Economy, 76 (1968), 114-126. https://doi.org/10.1086/259386
  3. A. Sandmo, Capital Risk, Consumption and Portfolio Choice, Econometrica, 37 (1969), 586-599. https://doi.org/10.2307/1910436
  4. A. Sandmo, Portfolio Theory, Asset Dynamics and Taxation: Comparative Statics with Many Assets, The Review of Economic Studies, 44 (1977), 369-379. https://doi.org/10.2307/2297074
  5. S. Fischer, Assets, Contingent Commodities, and the Slutsky Equations, Econometrica, 40 (1972), 371-385. https://doi.org/10.2307/1909413
  6. A. Dalal, Comparative Statics and Asset Substitutability/Complementarity in a Portfolio Model: A Dual Approach, The Review of Economic Studies, 50 (1983), 355-367. https://doi.org/10.2307/2297421
  7. T. Eichner, Mean Variance Vulnerability, Management Science, 54 (2008), 586-593. https://doi.org/10.1287/mnsc.1070.0772
  8. T. Eichner, Portfolio Selection and Duality under Mean Variance Preferences, Insurance: Mathematics and Economics, 48 (2011), 146-152. https://doi.org/10.1016/j.insmatheco.2010.10.008
  9. L. Epstein and S. Zin, Substitution, Risk Aversion, and the Temporal Behavior of Consumption and Asset Returns: A Theoretical Framework, Econometrica, 57 (1989), 937-969. https://doi.org/10.2307/1913778
  10. P. Cook, A 'One Line' Proof of the Slutsky Equation, American Economic Review, 62 (1972), 139.