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Arbitrage-free models of stocks and bonds

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  • Durham, J. Benson

    ()
    (Federal Reserve Bank of New York)

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    Abstract

    A small but ambitious literature uses affine arbitrage-free models to estimate jointly U.S. Treasury term premiums and the term structure of equity risk premiums. Within this approach, this paper identifies the parameter restrictions that are consistent with a simple dividend discount model, extends the cross-section to Germany and France, averages across multiple observable-factor and market prices of risk specifications, and considers alternative samples for parameter estimation. The results produce intuitive trajectories for both sets of premiums given standard samples starting from July 1993. However, the decomposition of nominal U.S. Treasury yields, but not long-run equity risk premiums, is sensitive to data beyond 2008, which raises some questions about the net effects of unconventional monetary policy measures. Nonetheless, the rotation from sharp inversion during the financial crisis to an upward-sloping term structure of equity risk premiums more recently, with modest readings at the front end, is not inconsistent with some net moderation in required compensation for equity risk in the United States.

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    Bibliographic Info

    Paper provided by Federal Reserve Bank of New York in its series Staff Reports with number 656.

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    Length: 33 pages
    Date of creation: 01 Dec 2013
    Date of revision:
    Handle: RePEc:fip:fednsr:656

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    Related research

    Keywords: equity risk premium; Treasury term premium; affine arbitrage-free models;

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    1. 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.
    2. Clive W. J. Granger & Harald F. Uhlig, 1988. "Reasonable extreme bounds analysis," Discussion Paper / Institute for Empirical Macroeconomics 2, Federal Reserve Bank of Minneapolis.
    3. Ralph S.J. Koijen & Hanno Lustig & Stijn Van Nieuwerburgh, 2010. "The Cross-Section and Time-Series of Stock and Bond Returns," NBER Working Papers 15688, National Bureau of Economic Research, Inc.
    4. Stefano d'Addona & Axel H. Kind, 2005. "International Stock-Bond Correlations in a Simple Affine Asset Pricing Model," Finance 0502018, EconWPA.
    5. Kim, Don H. & Orphanides, Athanasios, 2012. "Term Structure Estimation with Survey Data on Interest Rate Forecasts," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 47(01), pages 241-272, February.
    6. Lemke, Wolfgang & Werner, Thomas, 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.
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