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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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  • Werner, Thomas
  • Lemke, Wolfgang

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

Suggested Citation

  • 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.
    • Handle: RePEc:ecb:ecbwps:20091045
    Note: 336092
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    Cited by:

    1. Roel van Elk & Marc van der Steeg & Dinand Webbink, 2013. "The effects of a special program for multi-problem school dropouts on educational enrolment, employment and criminal behaviour; Evidence from a field experiment," CPB Discussion Paper 241.rdf, CPB Netherlands Bureau for Economic Policy Analysis.
    2. Fernando M. Duarte & Carlo Rosa, 2015. "The equity risk premium: a review of models," Economic Policy Review, Federal Reserve Bank of New York, issue 2, pages 39-57.
    3. Stanislav Khrapov, 2012. "Risk Premia: Short and Long-term," Working Papers w0169, New Economic School (NES).
    4. van Ewijk, Casper & de Groot, Henri L.F. & Santing, A.J. (Coos), 2012. "A meta-analysis of the equity premium," Journal of Empirical Finance, Elsevier, vol. 19(5), pages 819-830.
    5. Georges Prat & David Le Bris, 2019. "Equity Risk Premium and Time Horizon: what do the French secular data say ?," EconomiX Working Papers 2019-8, University of Paris Nanterre, EconomiX.
    6. Marcello Pericoli, 2020. "On risk factors of the stock–bond correlation," International Finance, Wiley Blackwell, vol. 23(3), pages 392-416, December.
    7. Marcello Pericoli, 2018. "Macroeconomics determinants of the correlation between stocks and bonds," Temi di discussione (Economic working papers) 1198, Bank of Italy, Economic Research and International Relations Area.
    8. Damir Filipovi'c & Sander Willems, 2018. "A Term Structure Model for Dividends and Interest Rates," Papers 1803.02249, arXiv.org, revised May 2020.
    9. J. Benson Durham, 2013. "Arbitrage-free models of stocks and bonds," Staff Reports 656, Federal Reserve Bank of New York.
    10. 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.
    11. J. Benson Durham, 2013. "More on U.S. Treasury term premiums: spot and expected measures," Staff Reports 658, Federal Reserve Bank of New York.
    12. Gideon Magnus, 2016. "A plausible model of yield curve dynamics," Financial Markets and Portfolio Management, Springer;Swiss Society for Financial Market Research, vol. 30(2), pages 205-228, May.
    13. Kentaro Kikuchi, 2015. "Quadratic Gaussian Joint Pricing Model for Stocks and Bonds: Theory and Empirical Analysis," Discussion Papers CRR Discussion Paper Series B: Financial 14, Shiga University, Faculty of Economics,Center for Risk Research.
    14. Prat, Georges & Le Bris, David, 2024. "Term structure of equity risk premia in rough terrain: 150 years of the French stock market," The Quarterly Review of Economics and Finance, Elsevier, vol. 97(C).

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    JEL classification:

    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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