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Term Structure Forecasting: No-Arbitrage Restrictions vs Large Information Set

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  • Favero, Carlo A
  • Niu, Linlin
  • Sala, Luca

Abstract

This paper addresses the issue of forecasting the term structure. We provide a unified state-space modelling framework that encompasses different existing discrete-time yield curve models. Within such framework we analyze the impact on forecasting performance of two crucial modelling choices, i.e. the imposition of no-arbitrage restrictions and the size of the information set used to extract factors. Using US yield curve data, we find that: a. macro factors are very useful in forecasting at medium/long forecasting horizon; b. financial factors are useful in short run forecasting; c. no-arbitrage models are effective in shrinking the dimensionality of the parameter space and, when supplemented with additional macro information, are very effective in forecasting; d. within no-arbitrage models, assuming time-varying risk price is more favourable than assuming constant risk price for medium horizon-maturity forecast when yield factors dominate the information set, and for short horizon and long maturity forecast when macro factors dominate the information set; e. however, given the complexity and the highly non-linear parameterization of no-arbitrage models, it is very difficult to exploit within this type of models the additional information offered by large macroeconomic datasets.

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Paper provided by C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number 6206.

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Date of creation: Mar 2007
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Handle: RePEc:cpr:ceprdp:6206

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Keywords: factor models; forecasting; large data set; term structure of interest rates; Yield curve;

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References

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  1. Peter Hordahl & Oreste Tristani & David Vestin, 2004. "A joint econometric model of macroeconomic and term structure dynamics," Money Macro and Finance (MMF) Research Group Conference 2003 48, Money Macro and Finance Research Group.
  2. Andrew Ang & Sen Dong & Monika Piazzesi, 2007. "No-Arbitrage Taylor Rules," NBER Working Papers 13448, National Bureau of Economic Research, Inc.
  3. Francis X. Diebold & Glenn D. Rudebusch & S. Boragan Aruoba, 2004. "The Macroeconomy and the Yield Curve: A Dynamic Latent Factor Approach," NBER Working Papers 10616, National Bureau of Economic Research, Inc.
  4. Andrew Ang & Monika Piazzesi & Min Wei, 2004. "What Does the Yield Curve Tell us about GDP Growth?," NBER Working Papers 10672, National Bureau of Economic Research, Inc.
  5. Francis X. Diebold & Canlin Li, 2002. "Forecasting the Term Structure of Government Bond Yields," Center for Financial Institutions Working Papers 02-34, Wharton School Center for Financial Institutions, University of Pennsylvania.
  6. Mönch, Emanuel, 2005. "Forecasting the yield curve in a data-rich environment: a no-arbitrage factor-augmented VAR approach," Working Paper Series 0544, European Central Bank.
  7. 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.
  8. Jean Boivin & Serena Ng, 2005. "Understanding and Comparing Factor-Based Forecasts," International Journal of Central Banking, International Journal of Central Banking, vol. 1(3), December.
  9. Domenico Giannone & Lucrezia Reichlin & Luca Sala, 2005. "Monetary Policy in Real Time," NBER Chapters, in: NBER Macroeconomics Annual 2004, Volume 19, pages 161-224 National Bureau of Economic Research, Inc.
  10. Jean Boivin & Serena Ng, 2003. "Are More Data Always Better for Factor Analysis?," NBER Working Papers 9829, National Bureau of Economic Research, Inc.
  11. Dai, Qiang & Singleton, Kenneth J., 2002. "Expectation puzzles, time-varying risk premia, and affine models of the term structure," Journal of Financial Economics, Elsevier, vol. 63(3), pages 415-441, March.
  12. Andrea Carriero & Carlo Favero & Iryna Kaminska, 2004. "Financial Factors, Macroeconomic Information and the Expectations Theory of the Term Structure of Interest Rates," Working Papers 253, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
  13. Taylor, John B., 1993. "Discretion versus policy rules in practice," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 39(1), pages 195-214, December.
  14. 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.
  15. Bernanke, Ben S. & Boivin, Jean, 2003. "Monetary policy in a data-rich environment," Journal of Monetary Economics, Elsevier, vol. 50(3), pages 525-546, April.
  16. Stock, James H & Watson, Mark W, 2002. "Macroeconomic Forecasting Using Diffusion Indexes," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(2), pages 147-62, April.
  17. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
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Citations

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Cited by:
  1. : Carlo A. Favero & : Arie E. Gozluklu & : Haoxi Yang, 2013. "Demographics and The Behavior of Interest Rates," Working Papers wpn13-10, Warwick Business School, Finance Group.
  2. Andrea Carriero & Raffaella Giacomini, 2011. "How useful are no-arbitrage restrictions for forecasting the term structure of interest rates?," Post-Print hal-00844809, HAL.
  3. Andrea Carriero & George Kapetanios & Massimiliano Marcellino, 2010. "Forecasting Government Bond Yields with Large Bayesian VARs," Working Papers 662, Queen Mary, University of London, School of Economics and Finance.
  4. Carriero, Andrea & Giacomini, Raffaella, 2011. "How useful are no-arbitrage restrictions for forecasting the term structure of interest rates?," Journal of Econometrics, Elsevier, vol. 164(1), pages 21-34, September.
  5. Modugno, Michele & Nikolaou, Kleopatra, 2009. "The forecasting power of internal yield curve linkages," Working Paper Series 1044, European Central Bank.
  6. Andrea Carriero & Raffaella Giacomini, 2011. "How useful are no-arbitrage restrictions for forecasting the term structure of interest rates?," Post-Print peer-00844809, HAL.
  7. William Lin & Shih-Chuan Tsai & David Sun, 2011. "Price informativeness and predictability: how liquidity can help," Applied Economics, Taylor & Francis Journals, vol. 43(17), pages 2199-2217.
  8. Massimo Guidolin & Daniel L. Thornton, 2010. "Predictions of short-term rates and the expectations hypothesis," Working Papers 2010-013, Federal Reserve Bank of St. Louis.
  9. Marcello, Pericoli & Marco, Taboga, 2005. "A specification analysis of discrete-time no-arbitrage term structure models with observable and unobservable factors," MPRA Paper 4969, University Library of Munich, Germany, revised Sep 2007.
  10. Almeida, Caio Ibsen Rodrigues de & Vicente, José Valentim M., 2007. "The Role of No-Arbitrage on Forecasting: Lessons from a Parametric Term Structure Model," Economics Working Papers (Ensaios Economicos da EPGE) 657, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
  11. Mirkov, Nikola & Sutter, Barbara, 2012. "Central Bank Reserves and the Yield Curve at the ZLB," Working Papers on Finance 1208, University of St. Gallen, School of Finance.

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