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

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Author Info
Wolfgang Lemke () (European Central Bank, Kaiserstrasse 29, D-60311 Frankfurt am Main, Germany.)
Thomas Werner () (European Central Bank, Kaiserstrasse 29, D-60311 Frankfurt am Main, Germany.)

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Abstract

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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Length: 47 pages
Date of creation: Apr 2009
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Handle: RePEc:ecb:ecbwps:20091045

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Keywords: Equity premium; affine term structure models; asset pricing.;

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  1. 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. [Downloadable!] (restricted)
  2. Jacob Boudoukh & Roni Michaely & Matthew Richardson & Michael R. Roberts, 2007. "On the Importance of Measuring Payout Yield: Implications for Empirical Asset Pricing," Journal of Finance, American Finance Association, vol. 62(2), pages 877-915, 04. [Downloadable!] (restricted)
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  3. Dewachter, Hans & Lyrio, Marco, 2006. "Macro Factors and the Term Structure of Interest Rates," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 38(1), pages 119-140, February. [Downloadable!] (restricted)
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  4. 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. [Downloadable!] (restricted)
  5. Ang, Andrew & Piazzesi, Monika, 2003. "A no-arbitrage vector autoregression of term structure dynamics with macroeconomic and latent variables," Journal of Monetary Economics, Elsevier, vol. 50(4), pages 745-787, May. [Downloadable!] (restricted)
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  6. 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. [Downloadable!] (restricted)
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  7. Lewellen, Jonathan, 2004. "Predicting returns with financial ratios," Journal of Financial Economics, Elsevier, vol. 74(2), pages 209-235, November. [Downloadable!] (restricted)
  8. 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. [Downloadable!] (restricted)
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  9. Andrew Ang & Sen Dong & Monika Piazzesi, 2007. "No-Arbitrage Taylor Rules," NBER Working Papers 13448, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  10. GlennD. Rudebusch & Tao Wu, 2008. "A Macro-Finance Model of the Term Structure, Monetary Policy and the Economy," Economic Journal, Royal Economic Society, vol. 118(530), pages 906-926, 07. [Downloadable!] (restricted)
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  11. 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. [Downloadable!] (restricted)
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  12. 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. [Downloadable!] (restricted)
  13. Hordahl, Peter & Tristani, Oreste & Vestin, David, 2006. "A joint econometric model of macroeconomic and term-structure dynamics," Journal of Econometrics, Elsevier, vol. 131(1-2), pages 405-444. [Downloadable!] (restricted)
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