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The term structure of equity premia in an affine arbitrage-free model of bond and stock market dynamics

  • Lemke, Wolfgang
  • Werner, Thomas

We estimate time-varying expected excess returns on the US stock market from 1983 to 2008 using a model that jointly captures the arbitrage-free dynamics of stock returns and nominal bond yields. The model nests the class of affine term structure (of interest rates) models. Stock returns and bond yields as well as risk premia are affine functions of the state variables: the dividend yield, two factors driving the one-period real interest rate and the rate of inflation. The model provides for each month the `term structure of equity premia', i.e. expected excess stock returns over various investment horizons. Model-implied equity premia decrease during the `dot-com' boom period, show an upward correction thereafter, and reach highest levels during the financial turmoil that started with the 2007 subprime crisis. Equity premia for longer-term investment horizons are less volatile than their short-term counterparts. JEL Classification: E43, G12

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Paper provided by European Central Bank in its series Working Paper Series with number 1045.

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Date of creation: Apr 2009
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Handle: RePEc:ecb:ecbwps:20091045
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  1. Andrew Ang & Sen Dong & Monika Piazzesi, 2007. "No-Arbitrage Taylor Rules," NBER Working Papers 13448, National Bureau of Economic Research, Inc.
  2. Hördahl, Peter & Tristani, Oreste & Vestin, David, 2004. "A joint econometric model of macroeconomic and term structure dynamics," Working Paper Series 0405, European Central Bank.
  3. Andrew Ang & Monika Piazzesi, 2001. "A No-Arbitrage Vector Autoregression of Term Structure Dynamics with Macroeconomic and Latent Variables," NBER Working Papers 8363, National Bureau of Economic Research, Inc.
  4. Lewellen, Jonathan, 2004. "Predicting returns with financial ratios," Journal of Financial Economics, Elsevier, vol. 74(2), pages 209-235, November.
  5. Dewachter, H.D.R. & Lyrio, M., 2003. "Macro factors and the Term Structure of Interest Rates," ERIM Report Series Research in Management ERS-2003-037-F&A, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
  6. Martin Lettau & Sydney C. Ludvigson & Jessica A. Wachter, 2004. "The Declining Equity Premium: What Role Does Macroeconomic Risk Play?," NBER Working Papers 10270, National Bureau of Economic Research, Inc.
  7. Lettau, Martin & Wachter, Jessica A., 2011. "The term structures of equity and interest rates," Journal of Financial Economics, Elsevier, vol. 101(1), pages 90-113, July.
  8. Glenn D. Rudebusch & Tao Wu, 2003. "A macro-finance model of the term structure, monetary policy, and the economy," Working Paper Series 2003-17, Federal Reserve Bank of San Francisco.
  9. Jacob Boudoukh & Roni Michaely & Matthew Richardson & Michael Roberts, 2004. "On the Importance of Measuring Payout Yield: Implications for Empirical Asset Pricing," NBER Working Papers 10651, National Bureau of Economic Research, Inc.
  10. Glenn D. Rudebusch & Tao Wu, 2007. "Accounting for a Shift in Term Structure Behavior with No-Arbitrage and Macro-Finance Models," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 39(2-3), pages 395-422, 03.
  11. Qiang Dai & Kenneth J. Singleton, 2000. "Specification Analysis of Affine Term Structure Models," Journal of Finance, American Finance Association, vol. 55(5), pages 1943-1978, October.
  12. Geert Bekaert & Steven R. Grenadier, 1999. "Stock and Bond Pricing in an Affine Economy," NBER Working Papers 7346, National Bureau of Economic Research, Inc.
  13. Gregory R. Duffee, 2002. "Term Premia and Interest Rate Forecasts in Affine Models," Journal of Finance, American Finance Association, vol. 57(1), pages 405-443, 02.
  14. 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.
  15. Lemke, Wolfgang, 2008. "An affine macro-finance term structure model for the euro area," The North American Journal of Economics and Finance, Elsevier, vol. 19(1), pages 41-69, March.
  16. Wu, Tao, 2006. "Macro Factors and the Affine Term Structure of Interest Rates," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 38(7), pages 1847-1875, October.
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