RFS Advance Access originally published online on December 11, 2007
Review of Financial Studies 2009 22(6):2303-2330; doi:10.1093/rfs/hhm076
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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
Sauder School of Business, University of British Columbia
London Business School and CEPR
Address correspondence to Harjoat S. Bhamra, Sauder School of Business at the University of British Columbia, 2053 Main Mall, Vancouver, BC, Canada V6T 1Z2; e-mail: harjoat.bhamra{at}sauder.ubc.ca.
JEL Classification: G12, D51, D52, D91
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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.
We gratefully acknowledge detailed suggestions from two anonymous referees. We are also grateful for comments from Suleyman Basak, Naresh Bhatia, Gianluca Cassese, Laurent Calvet, Joao Cocco, Francisco Gomes, Tim Johnson, Ken Judd, Alan Kraus, Leonid Kogan, Alexander Kurshev, Mordecai Kurz, Jun Liu, Michael Magill, Anthony Neuberger, Hernan Ortiz-Molina, Anna Pavlova, Marcel Rindisbacher, Jacob Sagi, Jan Werner, Hongjun Yan, and the participants at the meetings of the European Finance Association, the Arne Ryde Summer School in Economic Theory, the Stanford Institute for Theoretical Economics (SITE) Summer Workshop, the meetings of the WFA, the UBC Summer Conference, and seminar participants at LBS, UBC (Finance and Mathematics Departments), and USI Lugano. We wish to thank the Hedge Fund Centre at London Business School for financial support.
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