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A note on wealth effect under CARA utility

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  • Makarov, Dmitry
  • Schornick, Astrid V.

Abstract

There is a simple but overlooked way of capturing the wealth effect under CARA utility via making the absolute-risk aversion parameter wealth-dependent. We implement this approach in the asymmetric information setting of Verrecchia (1982), and compare it with the alternative approach of changing the utility function (Peress, 2004). Ours is a straightforward tractable extension of Verrecchia, while Peress has to resort to approximate methods. Importantly, our closed-form solution reveals that the relation between wealth and wealth share invested in a risky asset can be negative, while Peress's main result is that this relation is uniquely positive.

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Bibliographic Info

Article provided by Elsevier in its journal Finance Research Letters.

Volume (Year): 7 (2010)
Issue (Month): 3 (September)
Pages: 170-177

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Handle: RePEc:eee:finlet:v:7:y:2010:i:3:p:170-177

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Web page: http://www.elsevier.com/locate/frl

Related research

Keywords: CARA utility Wealth effect Information acquisition Asset pricing Portfolio choice;

References

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  1. Yacine Aït-Sahalia, 2001. "Variable Selection for Portfolio Choice," Journal of Finance, American Finance Association, vol. 56(4), pages 1297-1351, 08.
  2. Harrison Hong & José Scheinkman & Wei Xiong, 2006. "Asset Float and Speculative Bubbles," Journal of Finance, American Finance Association, vol. 61(3), pages 1073-1117, 06.
  3. Viceira, Luis & Serfaty-de Medeiros, Karine & Campbell, John, 2009. "Global Currency Hedging," Scholarly Articles 3153308, Harvard University Department of Economics.
  4. Sanford J Grossman & Joseph E Stiglitz, 1997. "On the Impossibility of Informationally Efficient Markets," Levine's Working Paper Archive 1908, David K. Levine.
  5. Annette Vissing-Jorgensen, 2002. "Limited Asset Market Participation and the Elasticity of Intertemporal Substitution," NBER Working Papers 8896, National Bureau of Economic Research, Inc.
  6. Ravi Bansal & Magnus Dahlquist & Campbell R. Harvey, 2004. "Dynamic Trading Strategies and Portfolio Choice," NBER Working Papers 10820, National Bureau of Economic Research, Inc.
  7. Annette Vissing-Jorgensen, 2002. "Limited Asset Market Participation and the Elasticity of Intertemporal Substitution," Journal of Political Economy, University of Chicago Press, vol. 110(4), pages 825-853, August.
  8. Acharya, Viral V & Pedersen, Lasse Heje, 2004. "Asset Pricing with Liquidity Risk," CEPR Discussion Papers 4718, C.E.P.R. Discussion Papers.
  9. Hellwig, Martin F., 1980. "On the aggregation of information in competitive markets," Journal of Economic Theory, Elsevier, vol. 22(3), pages 477-498, June.
  10. Jinill Kim & Sunghyun Henry Kim, 1999. "Spurious Welfare Reversals in International Business Cycle Models," Virginia Economics Online Papers 319, University of Virginia, Department of Economics.
  11. Verrecchia, Robert E, 1982. "Information Acquisition in a Noisy Rational Expectations Economy," Econometrica, Econometric Society, vol. 50(6), pages 1415-30, November.
  12. Ravi Jagannathan & Tongshu Ma, 2002. "Risk Reduction in Large Portfolios: Why Imposing the Wrong Constraints Helps," NBER Working Papers 8922, National Bureau of Economic Research, Inc.
  13. Bernardo, Antonio E. & Judd, Kenneth L., 2000. "Asset market equilibrium with general tastes, returns, and informational asymmetries," Journal of Financial Markets, Elsevier, vol. 3(1), pages 17-43, February.
  14. Joël Peress, 2004. "Wealth, Information Acquisition, and Portfolio Choice," Review of Financial Studies, Society for Financial Studies, vol. 17(3), pages 879-914.
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Cited by:
  1. Corsini, Lorenzo & Spataro, Luca, 2013. "Savings for retirement under liquidity constraints: A note," Economics Letters, Elsevier, vol. 118(2), pages 258-261.
  2. Spataro, Luca & Corsini, Lorenzo, 2013. "Endogenous financial literacy, saving and stock market participation," MPRA Paper 44342, University Library of Munich, Germany.
  3. Pablo Kurlat & Laura Veldkamp, 2012. "Should We Regulate Financial Information," Working Papers 12-15, New York University, Leonard N. Stern School of Business, Department of Economics.

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