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Stock and Bond Pricing in an Affine Economy

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  • Geert Bekaert
  • Steven R. Grenadier

Abstract

This article provides a stochastic valuation framework for bond and stock returns that builds on three different pricing traditions: affine models of the term structure, present-value pricing of equities, and consumption-based asset pricing. Our model provides a more general application of the affine framework in that both bonds and equities are priced in a consistent fashion. This pricing consistency implies that term structure variables help price stocks while stock price fundamentals help price the term structure. We illustrate our model by considering three examples that are similar in spirit to well-known pricing models that fall within our general framework: a Mehra and Prescott (1985) economy, a present value model similar to Campbell and Shiller (1988b), and a model with stochastic risk aversion similar to Campbell and Cochrane (1998). The empirical performance of our models is explored, with a particular emphasis on return predictability.

Suggested Citation

  • Geert Bekaert & Steven R. Grenadier, 1999. "Stock and Bond Pricing in an Affine Economy," NBER Working Papers 7346, National Bureau of Economic Research, Inc.
  • Handle: RePEc:nbr:nberwo:7346
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    Cited by:

    1. John Y. Campbell, 2000. "Asset Pricing at the Millennium," Journal of Finance, American Finance Association, vol. 55(4), pages 1515-1567, August.
    2. Clements, Kenneth W. & Fry, Renée, 2008. "Commodity currencies and currency commodities," Resources Policy, Elsevier, vol. 33(2), pages 55-73, June.
    3. JULES H. Van BINSBERGEN & RALPH S. J. KOIJEN, 2010. "Predictive Regressions: A Present‐Value Approach," Journal of Finance, American Finance Association, vol. 65(4), pages 1439-1471, August.
    4. René Garcia & Richard Luger, 2007. "The Canadian macroeconomy and the yield curve: an equilibrium‐based approach," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 40(2), pages 561-583, May.
    5. d'Addona, Stefano & Kind, Axel H., 2006. "International stock-bond correlations in a simple affine asset pricing model," Journal of Banking & Finance, Elsevier, vol. 30(10), pages 2747-2765, October.
    6. René Garcia & Richard Luger, 2012. "Risk aversion, intertemporal substitution, and the term structure of interest rates," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 27(6), pages 1013-1036, September.
    7. Qiang Dai & Kenneth J. Singleton & Wei Yang, 2007. "Regime Shifts in a Dynamic Term Structure Model of U.S. Treasury Bond Yields," The Review of Financial Studies, Society for Financial Studies, vol. 20(5), pages 1669-1706, 2007 12.
    8. Peter Smith & Michael Wickens, 2002. "Asset Pricing with Observable Stochastic Discount Factors," Journal of Economic Surveys, Wiley Blackwell, vol. 16(3), pages 397-446, July.
    9. Michael W. Brandt & Qiang Kang, 2002. "On the Relationship Between the Conditional Mean and Volatility of Stock Returns: A Latent VAR Approach," NBER Working Papers 9056, National Bureau of Economic Research, Inc.
    10. Longstaff, Francis A. & Piazzesi, Monika, 2004. "Corporate earnings and the equity premium," Journal of Financial Economics, Elsevier, vol. 74(3), pages 401-421, December.
    11. Andrew Ang & Jun Liu, 2003. "How to Discount Cashflows with Time-Varying Expected Returns," NBER Working Papers 10042, National Bureau of Economic Research, Inc.
    12. Marcello Pericoli, 2020. "On risk factors of the stock–bond correlation," International Finance, Wiley Blackwell, vol. 23(3), pages 392-416, December.
    13. P N Smith & S Sorensen & M R Wickens, "undated". "Macroeconomic Sources of Equity Risk," Discussion Papers 03/13, Department of Economics, University of York.
    14. Hanno Lustig & Stijn Van Nieuwerburgh & Adrien Verdelhan, 2013. "The Wealth-Consumption Ratio," The Review of Asset Pricing Studies, Society for Financial Studies, vol. 3(1), pages 38-94.
    15. Bekaert, Geert & Engstrom, Eric & Xing, Yuhang, 2009. "Risk, uncertainty, and asset prices," Journal of Financial Economics, Elsevier, vol. 91(1), pages 59-82, January.
    16. Damir Filipovi'c & Sander Willems, 2018. "A Term Structure Model for Dividends and Interest Rates," Papers 1803.02249, arXiv.org, revised May 2020.
    17. Damir Filipović & Sander Willems, 2020. "A term structure model for dividends and interest rates," Mathematical Finance, Wiley Blackwell, vol. 30(4), pages 1461-1496, October.
    18. Werner, Thomas & Lemke, Wolfgang, 2009. "The term structure of equity premia in an affine arbitrage-free model of bond and stock market dynamics," Working Paper Series 1045, European Central Bank.
    19. Brennan, Michael & Wang, Ashley W & Xia, Yihong, 2003. "Estimation and Test of a Simple Model of Intertemporal Capital Asset Pricing," University of California at Los Angeles, Anderson Graduate School of Management qt20r0j5t8, Anderson Graduate School of Management, UCLA.

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    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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