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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.

Suggested Citation

  • Makarov, Dmitry & Schornick, Astrid V., 2010. "A note on wealth effect under CARA utility," Finance Research Letters, Elsevier, vol. 7(3), pages 170-177, September.
  • Handle: RePEc:eee:finlet:v:7:y:2010:i:3:p:170-177
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    References listed on IDEAS

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    7. Dian Yu & Jianjun Gao & Weiping Wu & Zizhuo Wang, 2022. "Price Interpretability of Prediction Markets: A Convergence Analysis," Papers 2205.08913, arXiv.org, revised Nov 2023.

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