Forward Rate Curve Smoothing

This article reviews the forward rate curve smoothing literature. The key contribution of this review is to link the static curve fitting exercise to the dynamic and arbitrage-free models of the term structure of interest rates. As such, this review introduces more economics to an almost exclusively mathematical exercise, and it identifies new areas for research related to forward rate curve smoothing.

[1]  Leif Andersen Discount curve construction with tension splines , 2007 .

[2]  Patrick S. Hagan,et al.  Interpolation Methods for Curve Construction , 2006 .

[3]  Lars E. O. Svensson Estimating and Interpreting Forward Interest Rates: Sweden 1992-1994 , 1994, SSRN Electronic Journal.

[4]  D. Nychka,et al.  Fitting The Term Structure of Interest Rates With Smoothing Splines , 2000 .

[5]  K. Singleton,et al.  Term Structure Dynamics in Theory and Reality , 2002 .

[6]  D. Heath,et al.  Bond Pricing and the Term Structure of Interest Rates: A Discrete Time Approximation , 1990, Journal of Financial and Quantitative Analysis.

[7]  J. McCulloch,et al.  Measuring the Term Structure of Interest Rates , 1971 .

[8]  T. Björk,et al.  Interest Rate Dynamics and Consistent Forward Rate Curves , 1999 .

[9]  Donald R. van Deventer,et al.  Advanced Financial Risk Management: Tools and Techniques for Integrated Credit Risk and Interest Rate Risk Management , 2004 .

[10]  Daniel F. Waggoner Spline Methods for Extracting Interest Rate Curves from Coupon Bond Prices , 1997 .

[11]  Oldrich A. Vasicek 8. Term Structure Modeling Using Exponential Splines , 2015 .

[12]  Gary S. Shea,et al.  Interest Rate Term Structure Estimation with Exponential Splines: A Note , 1985 .

[13]  Oldrich A Vasicek,et al.  Term Structure Modeling Using Exponential Splines , 1982 .

[14]  Kenneth J. Adams,et al.  Fitting Yield Curves and Forward Rate Curves With Maximum Smoothness , 1994 .

[15]  A. Siegel,et al.  Parsimonious modeling of yield curves , 1987 .

[16]  Bank for International Settlements,et al.  Zero-Coupon Yield Curves: Technical Documentation , 2005 .

[17]  L. Barzanti,et al.  A note on interest rate term structure estimation using tension splines , 1998 .

[18]  D. R. V. Deventer,et al.  Advanced Financial Risk Management, Second Edition: Tools and Techniques for Integrated Credit Risk and Interest Rate Risk Management , 2013 .

[19]  R. Shiller,et al.  The Term Structure of Interest Rates , 1987 .

[20]  Damir Filipović,et al.  Consistency Problems for Heath-Jarrow-Morton Interest Rate Models (Lecture Notes in Mathematics 1760) , 2001 .