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The Effect of Introducing a Non-redundant Derivative on the Volatility of Stock-Market Returns

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  • Bhamra, Harjoat Singh
  • Uppal, Raman

Abstract

We study the effect of introducing a new security, such as a non-redundant derivative, on the volatility of stock-market returns. Our analysis uses a standard, continuous time, dynamic, general-equilibrium, full-information, frictionless, Lucas endowment economy where there are two classes of agents who have time-additive power utility functions and differ only in their risk aversion. We solve for equilibrium in two versions of this economy. In the first version, risk-sharing opportunities are limited because investors can trade in only the market portfolio, which is a claim on the aggregate endowment. In the second version, agents can trade in both the market portfolio and a new zero-net-supply derivative. We show analytically that for a sufficiently small precautionary-savings effect, the introduction of a non-redundant derivative on the market increases the volatility of stock-market returns.

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Paper provided by C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number 5726.

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Date of creation: Jun 2006
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Handle: RePEc:cpr:ceprdp:5726

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Keywords: general equilibrium; options; risk-sharing; volatility;

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Cited by:
  1. 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.
  2. Florian Wagener & Cars Hommes & William Brock, 2006. "More hedging instruments may destabilize markets," Working Papers wp06-11, Warwick Business School, Financial Econometrics Research Centre.
  3. Dumas, Bernard J & Kurshev, Alexander & Uppal, Raman, 2007. "Equilibrium Portfolio Strategies in the Presence of Sentiment Risk and Excess Volatility," CEPR Discussion Papers 6455, C.E.P.R. Discussion Papers.
  4. Brock, W.A. & Hommes, C.H. & Wagener, F.O.O., 2008. "More hedging instruments may destabilize markets (Revised version, April 2008)," CeNDEF Working Papers 08-04, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.

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