An evaluation of alternative methods used in the estimation of Gaussian term structure models
Tóm tắt
This paper provides an evaluation of five methods, proposed in the literature, for extracting factors used in the estimation of Gaussian affine term structure models. We assert that irrespective of the method used for extracting state variables, cross-sectional and serial correlations exist in measurement errors. However, using a simulation design which is consistent with the data, we show that parameter estimation using the Kalman filter and the model-free method are quite precise in the presence of serial and cross-sectional correlations in the error term, and, in the presence of different measurement errors, the Kalman filter demonstrates strong empirical tractability.
Tài liệu tham khảo
Adrian T, Crump RK, Moench E (2013) Pricing the term structure with linear regressions. Staff report No. 340, Federal Reserve Bank of New York
Babbs S, Nowman KB (1999) Kalman filtering of generalized Vasicek term structure models. J Finan Quant Anal 34(1):115–130
Bauer MD, Rudebusch GD, Wu C (2012) Correcting estimation bias in dynamic term structure models. J Bus Econ Stat 30(3):454–467
Berndt E, Hall B, Hall R, Hausman J (1974) Estimation and inference in non-linear structural models. Ann Soc Meas 3(4):653–665
Boulder D (2001) Affine term structure models: Theory and implementation. Working Paper, Bank of Canada
Chacko G, Das S (2002) Pricing interest rate derivatives: a general approach. Rev Finan Stud 15(1):195–241
Chen R, Scott L (1993) ML estimation for a multifactor equilibrium model of the term structure. J Fix Inc 3(3):14–31
Chen R, Yang TLT (2002) A simple multi-factor, time-dependent-parameter model for the term structure of interest rates. Rev Quant Finan Acc 19(1):5–20
Christensen JHE, Diebold FX, Rudebusch GD (2009) An arbitrage-free generalized Nelson–Siegel term structure model. Econ J 12(3):33–64
Christensen JHE, Diebold FX, Rudebusch GD (2011) The affine arbitrage-free class of Nelson–Siegel term structure models. J Econ 164(1):4–20
Collin-Dufresne P, Goldstein R, Jones C (2008) Identification of maximal affine term structure models. J Finan 63(2):743–745
Dai Q, Singleton KJ (2000) Specification analysis of affine term structure models. J Finan 55(5):1943–1978
Dejong F (2000) Time series and cross-section information in affine term structure models. J Bus Econ Stat 18(3):300–314
Dempster MAH, Tang K (2011) Estimating exponential affine models with correlated measurement errors: applications to fixed income and commodities. J Bank Finan 35(3):639–652
Diebold F, Li C (2006) Forecasting the term structure of government bond yields. J Econ 130(2):337–364
Duan J, Simonato J (1999) Estimating exponential-affine term structure models by the Kalman filter. Rev Quant Finan Acc 13(2):111–135
Duarte J (2004) Evaluating alternative risk preferences in affine term structure models. Rev Finan Stud 17(2):379–404
Duffee G (2002) Term premia and interest rate forecasts in affine models. J Finan 57(1):405–443
Duffee G (2011a) Forecasting with the term structure: the role of no-arbitrage restrictions. Working Paper, Johns Hopkins University
Duffee G (2011b) Information in (and not in) the term structure. Rev Finan Stud 24(9):2895–2934
Duffee G, Stanton R (2012) Estimation of dynamic term structure models. Quart J Finan 2(2):1–51
Duffie D, Kan R (1996) A yield factor model of interest rates. Math Finan 6(4):379–406
Duffie D, Singleton KJ (1997) An econometric model of the term structure of interest-rate swap yields. J Finan 52(4):1287–1321
Fisher M, Gilles C (1996) Estimating exponential-affine models of the term Structure. Working Paper, Federal Reserve Board
Hamilton J, Wu C (2011) Testable implications of affine term structure models. J Econ (forthcoming)
Hamilton J, Wu C (2012) Identification and estimation of affine term structure models. J Econ 168(2):315–331
Harvey A (1989) Forecasting structural time series models and the Kalman Filter. Cambridge University Press, Cambridge
Hull J, White A (1990) Pricing interest-rate-derivative securities. Rev Finan Stud 3(4):573–592
Jennrich R (1970) An asymptotic χ 2 test for the equality of two correlation matrices. J Amer Stat Ass 65(330):904–912
Joslin S, Singleton KJ, Zhu H (2011) A new perspective on Gaussian DTSM’S. Rev Finan Stud 24(3):926–970
Joslin S, Le A, Singleton KJ (2013) Why Gaussian macro-finance term structure models are (nearly) unconstrained factor VAR’s. J Finan Econ 109(3):604–622
Joslin S, Priebsch M, Singleton KJ (2012) Risk premiums in dynamic term structure models with unspanned macro risks. Working Paper, University of Southern California and Stanford University
Lin WT, Sun DS (2007) Liquidity-adjusted benchmark yield curves: a look at trading concentration and information. Rev Pac Basin Finan Mark Policies 10(4):491–518
Litterman B, Schienkman J (1991) Common factors affecting bond returns. J Fix Inc 1(1):54–61
Lundtofte F (2013) The quality of public information and the term structure of interest rates. Rev Quant Finan Acc 40(4):715–740
Pearson N, Sun TS (1994) Exploiting the conditional density in estimating the term structure: an application to the Cox, Ingersoll, and Ross model. J Finan 49(4):1279–1304
Perignon C, Smith D, Villa C (2007) Why common factors in international bond returns are not so common. J Int Money Finan 26(2):284–304
Piazzesi M (2003) Affine term structure models. In: Hansen LP, Ait-Sahalia Y (eds) Handbook of financial econometrics, Ch. 12. North-Holland, Amsterdam
Ritchken P, Sankarasubramanian F (1996) Bond price representations and the volatility of spot interest rates. Rev Quant Finan Acc 7(3):279–288
Tang H, Xia Y (2007) An International examination of affine term structure models and the expectations hypothesis. J Finan Quant Anal 42(1):41–80
Taylor JB (2009) The financial crisis and the policy responses: an empirical analysis of what went wrong. NBER Working Paper 14631, National Bureau of Economic Research, Cambridge, MA
Vasicek O (1977) An equilibrium characterization of the term structure. J Finan Econ 5(2):177–188
Yang X, Cheng J (2010) A data-driven approach for building macroeconomic decision support system. IEEE Trans Sys Man Cyber Part A Sys Hum. doi:10.1109/ICSMC.2010.5641732
Yeh SK, Lin B (2003) Term structure fitting models and information content: an empirical examination in Taiwanese government bond market. Rev Pac Basin Finan Mark Polic 6(3):305–348