IDEAS home Printed from https://ideas.repec.org/p/fip/fedkrw/rwp08-11.html
   My bibliography  Save this paper

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: https://www.kansascityfed.org/documents/333/pdf-rwp08-11.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Erceg, Christopher J. & Levin, Andrew T., 2003. "Imperfect credibility and inflation persistence," Journal of Monetary Economics, Elsevier, vol. 50(4), pages 915-944, May.
    2. Luca Benati, 2008. "The "Great Moderation" in the United Kingdom," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 40(1), pages 121-147, February.
    3. Jacquier, Eric & Polson, Nicholas G & Rossi, Peter E, 2002. "Bayesian Analysis of Stochastic Volatility Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 69-87, January.
    4. Bikbov, Ruslan & Chernov, Mikhail, 2010. "No-arbitrage macroeconomic determinants of the yield curve," Journal of Econometrics, Elsevier, vol. 159(1), pages 166-182, November.
    5. Frank Schorfheide, 2000. "Loss function-based evaluation of DSGE models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 15(6), pages 645-670.
    6. Alejandro Justiniano & Giorgio E. Primiceri, 2008. "The Time-Varying Volatility of Macroeconomic Fluctuations," American Economic Review, American Economic Association, vol. 98(3), pages 604-641, June.
    7. Larry G. Epstein & Stanley E. Zin, 2013. "Substitution, risk aversion and the temporal behavior of consumption and asset returns: A theoretical framework," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 12, pages 207-239, World Scientific Publishing Co. Pte. Ltd..
    8. Xiaohong Chen & Jack Favilukis & Sydney C. Ludvigson, 2013. "An estimation of economic models with recursive preferences," Quantitative Economics, Econometric Society, vol. 4(1), pages 39-83, March.
    9. Monika Piazzesi & Martin Schneider, 2009. "Trend and cycle in bond premia," Staff Report 424, Federal Reserve Bank of Minneapolis.
    10. Mehra, Rajnish (ed.), 2007. "Handbook of the Equity Risk Premium," Elsevier Monographs, Elsevier, edition 1, number 9780444508997.
    11. Taeyoung Doh, 2012. "What Does the Yield Curve Tell Us about the Federal Reserve’s Implicit Inflation Target?," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 44(2‐3), pages 469-486, March.
    12. James H. Stock & Mark W. Watson, 2007. "Why Has U.S. Inflation Become Harder to Forecast?," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 39(s1), pages 3-33, February.
    13. Newey, Whitney & West, Kenneth, 2014. "A simple, positive semi-definite, heteroscedasticity and autocorrelation consistent covariance matrix," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 33(1), pages 125-132.
    14. Glenn D. Rudebusch & Eric T. Swanson, 2012. "The Bond Premium in a DSGE Model with Long-Run Real and Nominal Risks," American Economic Journal: Macroeconomics, American Economic Association, vol. 4(1), pages 105-143, January.
    15. Sydney C. Ludvigson & Xiaohong Chen & Jack Favilukis, 2007. "An Estimation of Economic Models with Recursive," FMG Discussion Papers dp603, Financial Markets Group.
    16. Christopher A. Sims & Tao Zha, 2006. "Were There Regime Switches in U.S. Monetary Policy?," American Economic Review, American Economic Association, vol. 96(1), pages 54-81, March.
    17. Chib, Siddhartha & Ergashev, Bakhodir, 2009. "Analysis of Multifactor Affine Yield Curve Models," Journal of the American Statistical Association, American Statistical Association, vol. 104(488), pages 1324-1337.
    18. repec:bla:jfinan:v:59:y:2004:i:4:p:1481-1509 is not listed on IDEAS
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. Francisco Ruge‐Murcia, 2017. "Skewness Risk and Bond Prices," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 32(2), pages 379-400, March.
    6. 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.
    7. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Gianni Amisano & Oreste Tristani, 2023. "Monetary policy and long‐term interest rates," Quantitative Economics, Econometric Society, vol. 14(2), pages 689-716, May.
    2. Clark, Todd E. & Davig, Troy, 2011. "Decomposing the declining volatility of long-term inflation expectations," Journal of Economic Dynamics and Control, Elsevier, vol. 35(7), pages 981-999, July.
    3. van Binsbergen, Jules H. & Fernández-Villaverde, Jesús & Koijen, Ralph S.J. & Rubio-Ramírez, Juan, 2012. "The term structure of interest rates in a DSGE model with recursive preferences," Journal of Monetary Economics, Elsevier, vol. 59(7), pages 634-648.
    4. Todd E. Clark & Francesco Ravazzolo, 2012. "The macroeconomic forecasting performance of autoregressive models with alternative specifications of time-varying volatility," Working Paper 2012/09, Norges Bank.
    5. Francesco Bianchi & Howard Kung & Mikhail Tirskikh, 2023. "The origins and effects of macroeconomic uncertainty," Quantitative Economics, Econometric Society, vol. 14(3), pages 855-896, July.
    6. Lorenzo Bretscher & Alex Hsu & Andrea Tamoni, 2023. "The Real Response to Uncertainty Shocks: The Risk Premium Channel," Management Science, INFORMS, vol. 69(1), pages 119-140, January.
    7. Guerron-Quintana, Pablo A., 2011. "The implications of inflation in an estimated new Keynesian model," Journal of Economic Dynamics and Control, Elsevier, vol. 35(6), pages 947-962, June.
    8. Michael D. Bauer & Glenn D. Rudebusch, 2020. "Interest Rates under Falling Stars," American Economic Review, American Economic Association, vol. 110(5), pages 1316-1354, May.
    9. Gianni Amisano & Oreste Tristani, 2019. "Uncertainty Shocks, Monetary Policy and Long-Term Interest Rates," Finance and Economics Discussion Series 2019-024, Board of Governors of the Federal Reserve System (U.S.).
    10. Gbaguidi, David, 2012. "La courbe de Phillips : temps d’arbitrage et/ou arbitrage de temps," L'Actualité Economique, Société Canadienne de Science Economique, vol. 88(1), pages 87-119, mars.
    11. repec:hum:wpaper:sfb649dp2013-022 is not listed on IDEAS
    12. Taeyoung Doh, 2012. "What Does the Yield Curve Tell Us about the Federal Reserve’s Implicit Inflation Target?," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 44(2‐3), pages 469-486, March.
    13. Refet S. Gürkaynak & Jonathan H. Wright, 2012. "Macroeconomics and the Term Structure," Journal of Economic Literature, American Economic Association, vol. 50(2), pages 331-367, June.
    14. Barnett, Alina & Mumtaz, Haroon & Theodoridis, Konstantinos, 2014. "Forecasting UK GDP growth and inflation under structural change. A comparison of models with time-varying parameters," International Journal of Forecasting, Elsevier, vol. 30(1), pages 129-143.
    15. Fernández-Villaverde, J. & Rubio-Ramírez, J.F. & Schorfheide, F., 2016. "Solution and Estimation Methods for DSGE Models," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 527-724, Elsevier.
    16. Chernov, Mikhail & Mueller, Philippe, 2012. "The term structure of inflation expectations," Journal of Financial Economics, Elsevier, vol. 106(2), pages 367-394.
    17. Marcelo Ferman, 2011. "Switching Monetary Policy Regimes and the Nominal Term Structure," FMG Discussion Papers dp678, Financial Markets Group.
    18. Dario Caldara & Jesus Fernandez-Villaverde & Juan F. Rubio-Ramirez & Wen Yao, 2009. "Computing DSGE Models with Recursive Preferences," PIER Working Paper Archive 09-018, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
    19. Gbaguidi DAVID, 2011. "Expectations Impact On The Effectiveness Of The Inflation-Real Activity Trade-Off," Theoretical and Practical Research in the Economic Fields, ASERS Publishing, vol. 2(2), pages 141-181.
    20. Gbaguidi, David Sedo, 2011. "Regime Switching in a New Keynesian Phillips Curve with Non-zero Steady-state Inflation Rate," MPRA Paper 35481, University Library of Munich, Germany.
    21. Drew D. Creal & Jing Cynthia Wu, 2020. "Bond risk premia in consumption‐based models," Quantitative Economics, Econometric Society, vol. 11(4), pages 1461-1484, November.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:fip:fedkrw:rwp08-11. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Zach Kastens (email available below). General contact details of provider: https://edirc.repec.org/data/frbkcus.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.