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The Effect of Introducing a Non-Redundant Derivative on the Volatility of Stock-Market Returns When Agents Differ in Risk Aversion

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  • Harjoat S. Bhamra
  • Raman Uppal

Abstract

We study the effect of introducing a nonredundant derivative on the volatilities of the stock market return and the locally risk-free interest rate. Our analysis uses a standard, frictionless, full-information, dynamic, continuous-time, general-equilibrium, Lucas endowment economy in which there are two classes of agents who have time-additive power utility functions and differ only in their risk aversion. Our main result is to show analytically that if the intensity of the precautionary demand for savings is not too high, then the introduction of a nonredundant derivative increases the volatility of stock market returns. Furthermore, in the economy with the derivative, the volatility of stock market returns can be substantially greater than that of aggregate dividend growth (fundamental volatility). We also show that the volatility of the locally risk-free interest rate increases with the introduction of the derivative. The Author 2007. Published by Oxford University Press on behalf of The Society for Financial Studies. All rights reserved. For permissions, please email: journals.permissions@oxfordjournals.org., Oxford University Press.

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Bibliographic Info

Article provided by Society for Financial Studies in its journal The Review of Financial Studies.

Volume (Year): 22 (2009)
Issue (Month): 6 (June)
Pages: 2303-2330

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Handle: RePEc:oup:rfinst:v:22:y:2009:i:6:p:2303-2330

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Cited by:
  1. Wei Xiong & Hongjun Yan & Review Financial, 2007. "Heterogeneous Expectations and Bond Markets," Yale School of Management Working Papers amz2614, Yale School of Management, revised 01 Jun 2009.
  2. Georgy Chabakauri, 2012. "Asset Pricing with Heterogeneous Investors and Portfolio Constraints," 2012 Meeting Papers 636, Society for Economic Dynamics.
  3. Weinbaum, David, 2010. "Preference heterogeneity and asset prices: An exact solution," Journal of Banking & Finance, Elsevier, vol. 34(9), pages 2238-2246, September.
  4. Kondor, Péter & Vayanos, Dimitri, 2014. "Liquidity Risk and the Dynamics of Arbitrage Capital," CEPR Discussion Papers 9885, C.E.P.R. Discussion Papers.
  5. Georgy Chabakauri, 2010. "Asset pricing with heterogeneous investors and portfolio constraints," LSE Research Online Documents on Economics 43142, London School of Economics and Political Science, LSE Library.
  6. Cvitanic, Jaksa & Malamud, Semyon, 2011. "Price impact and portfolio impact," Journal of Financial Economics, Elsevier, vol. 100(1), pages 201-225, April.
  7. Arısoy, Yakup Eser & Altay-Salih, Aslıhan & Pınar, Mustafa Ç, 2014. "Optimal multi-period consumption and investment with short-sale constraints," Finance Research Letters, Elsevier, vol. 11(1), pages 16-24.
  8. Ngoc-Khanh Tran & Richard J. Zeckhauser, 2011. "The Behavior of Savings and Asset Prices When Preferences and Beliefs are Heterogeneous," NBER Working Papers 17199, National Bureau of Economic Research, Inc.
  9. Raman Uppal & Harjoat Bhamra, 2013. "Asset Prices with Heterogeneity in Preferences and Beliefs," 2013 Meeting Papers 1344, Society for Economic Dynamics.
  10. Agostino Capponi & Martin Larsson, 2011. "Default and Systemic Risk in Equilibrium," Papers 1108.1133, arXiv.org, revised Dec 2011.
  11. Banerjee, Snehal & Graveline, Jeremy J., 2014. "Trading in derivatives when the underlying is scarce," Journal of Financial Economics, Elsevier, vol. 111(3), pages 589-608.
  12. Roman Muraviev, 2013. "Market selection with learning and catching up with the Joneses," Finance and Stochastics, Springer, vol. 17(2), pages 273-304, April.
  13. Roche, Hervé, 2011. "Asset prices in an exchange economy when agents have heterogeneous homothetic recursive preferences and no risk free bond is available," Journal of Economic Dynamics and Control, Elsevier, vol. 35(1), pages 80-96, January.
  14. Judd, Kenneth L. & Leisen, Dietmar P.J., 2010. "Equilibrium open interest," Journal of Economic Dynamics and Control, Elsevier, vol. 34(12), pages 2578-2600, December.

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