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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. Grossman, Sanford J & Stiglitz, Joseph E, 1980. "On the Impossibility of Informationally Efficient Markets," American Economic Review, American Economic Association, vol. 70(3), pages 393-408, June.
  2. Yacine Ait-Sahalia & Michael W. Brandt, 2001. "Variable Selection for Portfolio Choice," NBER Working Papers 8127, National Bureau of Economic Research, Inc.
  3. Bansal, Ravi & Dahlquist, Magnus & Harvey, Campbell R., 2004. "Dynamic Trading Strategies and Portfolio Choice," SIFR Research Report Series 31, Institute for Financial Research.
  4. Harrison Hong & Jose Scheinkman & Wei Xiong, 2005. "Asset Float and Speculative Bubbles," NBER Working Papers 11367, National Bureau of Economic Research, Inc.
  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. 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.
  7. Hellwig, Martin F., 1980. "On the aggregation of information in competitive markets," Journal of Economic Theory, Elsevier, vol. 22(3), pages 477-498, June.
  8. Ravi Jagannathan & Tongshu Ma, 2003. "Risk Reduction in Large Portfolios: Why Imposing the Wrong Constraints Helps," Journal of Finance, American Finance Association, vol. 58(4), pages 1651-1684, 08.
  9. Viral V. Acharya & Lasse Heje Pedersen, 2004. "Asset Pricing with Liquidity Risk," NBER Working Papers 10814, National Bureau of Economic Research, Inc.
  10. Jinill Kim and Sunghyun Henry Kim, 2001. "Spurious Welfare Reversals in International Business Cycle Models," Computing in Economics and Finance 2001 3, Society for Computational Economics.
  11. 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.
  12. John Y. Campbell & Karine Serfaty-de Medeiros & Luis M. Viceira, 2007. "Global Currency Hedging," NBER Working Papers 13088, National Bureau of Economic Research, Inc.
  13. Verrecchia, Robert E, 1982. "Information Acquisition in a Noisy Rational Expectations Economy," Econometrica, Econometric Society, vol. 50(6), pages 1415-30, November.
  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. 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.
  3. Spataro, Luca & Corsini, Lorenzo, 2013. "Endogenous financial literacy, saving and stock market participation," MPRA Paper 44342, University Library of Munich, Germany.

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