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Comparative Statics of Asset Prices

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  • Theodoros Diasakos

Abstract

In a single-commodity, pure-exchange, representative-agent economy with many Lucas' trees whose dividends are geometric Brownian motions, I study the comparative statics of the prices of these assets with respect to the current Brownian realization. As is well-known, due to wealth effects, a security's price may vary with the realization of a Brownian motion even when its dividend is independent of it. Yet, a crucial component of wealth effects has hitherto been ignored by the literature: changes in wealth do not alter only the agent's risk aversion, but also her perceived "riskiness" of the security. This enhances the extent to which market-clearing leads to endogenously-generated correlation across asset prices and returns, over and above that induced by correlation between payoffs, giving the appearance of "contagion." I establish also a necessary and sufficient condition for the securities market to be dynamically complete. Being independent of the utility function of the representative agent, it applies even in the presence of many heterogenous agents.

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Bibliographic Info

Paper provided by Collegio Carlo Alberto in its series Carlo Alberto Notebooks with number 72.

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Length: 84 pages
Date of creation: 2008
Date of revision: 2011
Handle: RePEc:cca:wpaper:72

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Keywords: General Equilibrium; Comparative Statics; Contagion; Dynamically Complete Markets;

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  1. Roger D. Lagunoff & Stacey L. Schreft, 1999. "Financial fragility with rational and irrational exuberance," Research Working Paper 99-01, Federal Reserve Bank of Kansas City.
  2. Gropp, Reint & Moerman, Gerard, 2004. "Measurement of contagion in banks' equity prices," Journal of International Money and Finance, Elsevier, vol. 23(3), pages 405-459, April.
  3. Albert S. Kyle, 2001. "Contagion as a Wealth Effect," Journal of Finance, American Finance Association, vol. 56(4), pages 1401-1440, 08.
  4. Bhamra, Harjoat S. & Uppal, Raman, 2006. "The role of risk aversion and intertemporal substitution in dynamic consumption-portfolio choice with recursive utility," Journal of Economic Dynamics and Control, Elsevier, vol. 30(6), pages 967-991, June.
  5. Torben G. Andersen & Tim Bollerslev & Francis X. Diebold & Heiko Ebens, 2000. "The Distribution of Stock Return Volatility," NBER Working Papers 7933, National Bureau of Economic Research, Inc.
  6. Ravi Bansal & Amir Yaron, 2000. "Risks for the Long Run: A Potential Resolution of Asset Pricing Puzzles," NBER Working Papers 8059, National Bureau of Economic Research, Inc.
  7. John H. Cochrane & Francis A. Longstaff & Pedro Santa-Clara, 2003. "Two Trees: Asset Price Dynamics Induced by Market Clearing," NBER Working Papers 10116, National Bureau of Economic Research, Inc.
  8. Bollerslev, Tim & Engle, Robert F & Wooldridge, Jeffrey M, 1988. "A Capital Asset Pricing Model with Time-Varying Covariances," Journal of Political Economy, University of Chicago Press, vol. 96(1), pages 116-31, February.
  9. Brandt, Michael W. & Diebold, Francis X., 2004. "A no-arbitrage approach to range-based estimation of return covariances and correlations," CFS Working Paper Series 2004/07, Center for Financial Studies (CFS).
  10. Bansal, Ravi & Khatchatrian, Varoujan & Yaron, Amir, 2005. "Interpretable asset markets?," European Economic Review, Elsevier, vol. 49(3), pages 531-560, April.
  11. He, Hua & Leland, Hayne, 1993. "On Equilibrium Asset Price Processes," Review of Financial Studies, Society for Financial Studies, vol. 6(3), pages 593-617.
  12. Tobias J. Moskowitz, 2003. "An Analysis of Covariance Risk and Pricing Anomalies," Review of Financial Studies, Society for Financial Studies, vol. 16(2), pages 417-457.
  13. Laura E. Kodres & Matthew Pritsker, 2002. "A Rational Expectations Model of Financial Contagion," Journal of Finance, American Finance Association, vol. 57(2), pages 769-799, 04.
  14. Charalambos D Aliprantis & Gabriele Camera & Daniela Puzzello, 2007. "Contagion Equilibria in a Monetary Model," Econometrica, Econometric Society, vol. 75(1), pages 277-282, 01.
  15. Robert Anderson & Roberto Raimondo, 2005. "Market clearing and derivative pricing," Economic Theory, Springer, vol. 25(1), pages 21-34, 01.
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