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  • Cited by 6
Publisher:
Cambridge University Press
Online publication date:
December 2020
Print publication year:
2021
Online ISBN:
9781108975537
Series:
Elements in Quantitative Finance

Book description

This Element is intended for students and practitioners as a gentle and intuitive introduction to the field of discrete-time yield curve modelling. I strive to be as comprehensive as possible, while still adhering to the overall premise of putting a strong focus on practical applications. In addition to a thorough description of the Nelson-Siegel family of model, the Element contains a section on the intuitive relationship between P and Q measures, one on how the structure of a Nelson-Siegel model can be retained in the arbitrage-free framework, and a dedicated section that provides a detailed explanation for the Joslin, Singleton, and Zhu (2011) model.

References

Adrian, T., Crump, R. K. & Mönch, E. (2013). Pricing the term structure with linear regressions. Journal of Financial Economics, 110, 11038.
Andreasen, M. & Christensen, B. J. (2015). The sr approach: A new estimation procedure for non-linear and non-gaussian dynamic term structure models. Journal of Econometrics, 184, 42051.
Ang, A. & Piazzesi, M. (2003). A no-arbitrage vector autoregression of term structure dynamics with macroeconomic and latent variables. Journal of Monetary Economics 50(4), 74587.
Bauer, M. D. & Rudebusch, G. D. (2014). Monetary policy expectations at the zero lower bound. (Working Paper, Federal Reserve Bank of San Francisco)
Bauer, M. D., Rudebusch, G. D. & Wu, J. C. (2012). Correcting estimation bias in dynamic term structure models. Journal of Business & Economic Statistics, 30, 45467.
Black, F. (1995). Interest rates as options. Journal of Finance 50(5), 13716.
Campbell, J. Y. (2018). Financial decisions and markets: A course in asset pricing. Princeton University Press, Princeton, NJ.
CEIOPS. (2010). Risk-free interest rates, extrapolation method. qis 5 background document. (Technical report, https://eiopa.europa.eu/)
Christensen, J. H. E., Diebold, F. X. & Rudebusch, G. D. (2011). The affine arbitrage-free class of Nelson-Siegel term structure models. Journal of Econometrics, 164, 420.
Christensen, J. H. E. & Rudebusch, G. D. (2013). Estimating shadow-rate term structure models with near-zero yields. (Working Paper, Federal Reserve Bank of San Francisco)
Coche, j., Nyholm, K. & Sahakyan, V. (2017). Forecasting the term structure of interest rates close to the effective lower bound. (Work in progress)
Cochrane, J. H. (2005). Asset pricing: Revised edition. Princeton University Press.
Creal, D. D. & Wu, J. C. (2017). Monetary policy uncertainty and economic fluctuations. International Economic Review 58(4), 131754.
Dai, Q. & Singleton, K. (2000). Specification analysis of affine term structure models. Journal of Finance, 55, 194378.
Diebold, F. X. & Li, C. (2006). Forecasting the term structure of government bond yields. Journal of Econometrics, 130, 33764.
Diebold, F. X. & Rudebusch, G. D. (2013). Yield curve modeling andforecasting: The Dynamic Nelson-Siegel approach. Princeton University Press, Princeton, New Jersey, USA.
Diebold, F. X., Rudebusch, G. D. & Aruoba, S. B. (2006). The macroe-conomy and the yield curve: A dynamic latent factor approach. Journal of Econometrics, 131, 30938.
Duffie, D. & Kan, R. (1996). A yield-factor model of interest rates. Mathematical Finance, 6, 379406.
Engsted, T. & Pedersen, T. Q. (2014). Bias-correction in vector autoregressive models: A simulation study. Econometrics, 2, 4571.
Eser, F., Lemke, W., Nyholm, K., Radde, S. & Vladu, A. L. (2019). Tracing the impact of the ecb’s asset purchase programme on the yield curve. (ECB working paper, no 2293)
Greenwood, R. & Vayanos, D. (2014). Bond supply and excess bond returns. Review of Financial Studies, 27, 663713.
Gurkaynak, R. S., Sack, B. & Wright, J. H. (2006). The US treasury yield curve: 1961 to present. (Federal Reserve Board Working Paper)
Gurkaynak, R. S. & Wright, J. H. (2012). Macroeconomics and the term structure. Journal of Economic Literature 50(2), 33167.
Hamilton, J. D. (1994). Time series analysis. Princeton University Press, Princeton, NJ.
Hull, J. C. (2006). Options, futures, and other derivatives. Prentice Hall, USA.
Johnson, R. A. & Wichern, D. W. (1992). Applied multivariate statistical analysis. Prentice-Hall, Englewood Cliffs, NJ.
Joslin, S., Singleton, K. J. & Zhu, H. (2011). A new perspective on gaussian dynamic term structure models. Review of Financial Studies, 24, 92670.
Julier, S. J. & Uhlmann, J. K. (1997). A new extension of the Kalman filter to nonlinear systems. In Proceedings of aerosense: The 11th international symposium on aerospace/defence sensing, simulation and controls.
Julier, S. J. & Uhlmann, J. K. (2004). Unscented filtering and nonlinear estimation. In Proceedings of the IEEE (Vol. 92, p. 401–22).
Karatzas, I. & Shreve, S. E. (1996). Brownian motion and stochastic calculus. Springer, New York.
Kim, D. H. & Priebsch, M. A. (2013). Estimation of multi-factor shadow- rate term structure models. (Unpublished manuscript, Federal Reserve Board)
Kim, D. H. & Wright, J. H. (2005). An arbitrage-free three-factor term structure model and the recent behavior oflong-term yields and distant- horizon forward rates. (Finance and Economics Discussion Series 200533. Board of Governors of the Federal Reserve System, Washington, D.C)
Krippner, L. (2013). Measuring the stance of monetary policy in zero lower bound environments. Economics Letters 118(1), 13538.
Krippner, L. (2015a). A comment on wu and xia (2015), and the case for two-factor shadow short rates. (CAMA Working Paper 48/2015)
Krippner, L. (2015b). Zero lower bound term structure modeling. Palgrave Macmillan, US.
Lemke, W. & Vladu, A. L. (2017). Below the zero lower bound: a shadow-rate term structure model for the euro area. (European Central Bank Working Paper)
Li, C., Niu, L. & Zeng, G. (2012). A generalized arbitrage-free Nelson-Siegel term structure model with macroeconomic fundamentals. (Xiamen University, Working Paper)
Li, C. & Wei, M. (2013). Term structure modeling with supply factors and the federal reserves large-scale asset purchase programs. International Journal of Central Banking, 9, 339.
Litterman, R. & Scheinkman, J. (1991). Common factors affecting bond returns. Journal of Fixed Income, 47, 5461.
Luenberger, D. G. (1998). Investment science. Oxford University Press, USA.
Lutkepohl, H. (1991). Introduction to multiple time series analysis. SpringerVerlag, Berlin.
Mikosch, T. (1998). Elementary stochastic calculus, with finance in view. World Scientific, advanced series on statistical science and probability, vol. 6.
Nelson, C. & Siegel, A. (1987). Parsimonious modeling of yield curves. Journal of Business, 60, 47389.
Niu, L. & Zeng, G. (2012). The discrete-time framework of the arbitragefree Nelson-Siegel class of term structure models. (Xiamen University, Working Paper)
Nyholm, K. (2008). Strategic asset allocation in fixed-income markets: A MATLAB-based users guide. John Wiley and Sons, UK.
Nyholm, K. (2018). A flexible short-rate based four factor arbitrage-free term structure model with an explicit monetary policy rule. (www.ken-nyholm.com)
Pope, A. L. (1990). Biases of estimators in multivariate non-gaussian autoregressions. J. Time Ser. Anal, 11, 249258.
Rebonato, R. (2018). Bond pricing and yield curve modelling. Cambridge University Press, UK.
Rebonato, R., Mahal, S., Joshi, M., Bucholz, L. & Nyholm, K. (2005). Evolving yield curves in the real-world measures: A semi-parametric approach. Journal of Risk, 7, 2962.
Rios, A. D. D. L. (2015). A new linear estimator for gaussian dynamic term structure models. Journal of Business & Economic Statistics, 33, 282295.
Smith, A. & Wilson, T. (2000). Fitting yield curves with long term constraints. (Technical report, Bacon and Woodrow, August 2000)
Svensson, L. & Soderlind, P. (1997). New techniques to extract market expectations from financial instruments. Journal of Monetary Economics, 40, 383429.
Taylor, J. B. (1993). Discretion versus policy rules in practice. Carnegie- Rochester Conference Series on Public Policy, 39, 195214.
Vasicek, O. (1977). An equilibrium characterization of the term structure. Journal of Financial Economics, 5, 17788.
Vayanos, V. & Vila, J. (2009). A preferred-habitat model of the term structure ofinterest rates. (NBER Working Paper)
Wan, E. A. & Merwe, R. V. D. (2001). Chapter 7: The unscented kalman filter. In Kalman filtering and neural networks (pp. 221-80). Wiley.
Wu, J. C. & Xia, F. D. (2015). Measuring the macroeconomic impact of monetary policy at the zero lower bound. (NBER Working Paper No. w20117)

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