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Long run risks in the term structure of interest rates: estimation

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  • Taeyoung Doh

Abstract

This paper specifies and estimates a long run risks model with inflation by using the nominal term structure data in the United States from 1953 to 2006. The negative correlation between expected inflation and expected consumption growth in conjunction with the Epstein-Zin (1989) recursive preferences generates an upward sloping yield curve and fits the yield curve data better than the alternative specifications. However, the variations of the forward looking components of consumption growth and inflation in the estimated model are much smaller than implied by calibrated parameter values in the previous literature. An extended model with time varying volatilities alleviates this problem. In the extended model, estimated long run risks and volatilities, especially for inflation, are in line with survey data and the estimated inflation volatility explains a significant portion of the time variation of term premium.

Suggested Citation

  • Taeyoung Doh, 2008. "Long run risks in the term structure of interest rates: estimation," Research Working Paper RWP 08-11, Federal Reserve Bank of Kansas City.
    • Handle: RePEc:fip:fedkrw:rwp08-11
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    1. Francisco Ruge‐Murcia, 2017. "Skewness Risk and Bond Prices," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 32(2), pages 379-400, March.
    2. Staveley-O’Carroll, James & Staveley-O’Carroll, Olena M., 2017. "Impact of pension system structure on international financial capital allocation," European Economic Review, Elsevier, vol. 95(C), pages 1-22.
    3. Philippe Mueller & Andrea Vedolin & Hao Zhou, 2019. "Short-Run Bond Risk Premia," Quarterly Journal of Finance (QJF), World Scientific Publishing Co. Pte. Ltd., vol. 9(03), pages 1-34, September.
    4. Startz Richard & Tsang Kwok Ping, 2012. "Nonexponential Discounting: A Direct Test And Perhaps A New Puzzle," The B.E. Journal of Macroeconomics, De Gruyter, vol. 12(1), pages 1-35, November.
    5. Gonzalez-Astudillo, Manuel, 2009. "An Equilibrium Model of the Term Structure of Interest Rates: Recursive Preferences at Play," MPRA Paper 19153, University Library of Munich, Germany.
    6. Stefano d¡¦Addona, 2018. "Rational Ignorance in Long-run Risk Models," International Journal of Business and Economics, School of Management Development, Feng Chia University, Taichung, Taiwan, vol. 17(1), pages 43-54, June.
    7. Bjørn Eraker & Ivan Shaliastovich & Wenyu Wang, 2016. "Durable Goods, Inflation Risk, and Equilibrium Asset Prices," The Review of Financial Studies, Society for Financial Studies, vol. 29(1), pages 193-231.
    8. Anh Le & Kenneth J. Singleton, 2010. "An Equilibrium Term Structure Model with Recursive Preferences," American Economic Review, American Economic Association, vol. 100(2), pages 557-561, May.

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