Term Spreads, Forward Rates and Yield Curve Forecasts

2021 ◽  
Author(s):  
Gian Maria Tomat
Keyword(s):  
Yield Curve ◽  
Forward Rates

scholarly journals MODELING TERM STRUCTURE DYNAMICS: AN INFINITE DIMENSIONAL APPROACH

2005 ◽  
Vol 08 (03) ◽  
pp. 357-380 ◽  
Author(s):  
RAMA CONT
Keyword(s):  
Interest Rates ◽  
Term Structure ◽  
Yield Curve ◽  
Dimensional Space ◽  
Forward Rate ◽  
Model Parameters ◽  
Stochastic Pde ◽  
Forward Rates ◽  
Infinite Dimensional ◽  
Average Shape

Motivated by stylized statistical properties of interest rates, we propose a modeling approach in which the forward rate curve is described as a stochastic process in a space of curves. After decomposing the movements of the term structure into the variations of the short rate, the long rate and the deformation of the curve around its average shape, this deformation is described as the solution of a stochastic evolution equation in an infinite dimensional space of curves. In the case where deformations are local in maturity, this equation reduces to a stochastic PDE, of which we give the simplest example. We discuss the properties of the solutions and show that they capture in a parsimonious manner the essential features of yield curve dynamics: imperfect correlation between maturities, mean reversion of interest rates, the structure of principal components of forward rates and their variances. In particular we show that a flat, constant volatility structures already captures many of the observed properties. Finally, we discuss parameter estimation issues and show that the model parameters have a natural interpretation in terms of empirically observed quantities.

scholarly journals Bond risk premia and the return forecasting factor

2019 ◽  
Vol 24 (1) ◽  
Author(s):  
Agustin Gutierrez ◽  
Constantino Hevia ◽  
Martin Sola
Keyword(s):  
Term Structure ◽  
Yield Curve ◽  
Risk Premia ◽  
Term Structure Model ◽  
Forward Rates ◽  
Bond Risk Premia ◽  
Bond Returns ◽  
Main Driver ◽  
Bond Risk ◽  
Better Than

Abstract The return forecasting factor is a linear combination of forward rates that seems to predict 1-year excess bond returns of bond of all maturities better than traditional measures obtained from the yield curve. If this single factor actually captures all the relevant fluctuations in bond risk premia, then it should also summarize all the economically relevant variations in excess returns considering different holding periods. We find that it does not. We conclude that including the return forecasting factor as the main driver of risk premia in a term structure model, as has been suggested, is not supported by the data.

Term Structure Models

2017 ◽  
Author(s):  
Kerry E. Back
Keyword(s):  
Term Structure ◽  
Yield Curve ◽  
Model Parameters ◽  
Bond Yields ◽  
Expectations Hypothesis ◽  
Forward Rates ◽  
Affine Models ◽  
Deterministic Function ◽  
Root Model ◽  
Quadratic Models

Bond yields and forward rates are defined. The fundamental PDE is derived. Affine term strucure models are explained, including the Vasicek model and the Cox‐Ingersoll‐Ross square root model. Gaussian affine models, completely affine models, and multifactor CIR models are explained. Quadratic models are described. The various versions of the expectations hypothesis are explained. We can fit a given yield curve by adding a deterministic function of time to an interest rate model or allowing model parameters to be time varying. Heath‐Jarrow‐Morton models are explained, and it is shown that drifts of forward rates under the risk neutral probability are determined by their volatilities.

An International Examination of Affine Term Structure Models and the Expectations Hypothesis

2007 ◽  
Vol 42 (1) ◽  
pp. 41-80 ◽  
Author(s):  
Huarong Tang ◽  
Yihong Xia
Keyword(s):  
Term Structure ◽  
Yield Curve ◽  
Expectations Hypothesis ◽  
Affine Term Structure ◽  
Forward Rates ◽  
Affine Term Structure Models ◽  
Term Structure Models ◽  
Affine Model ◽  
The U.S ◽  
Three Factor

AbstractWe examine the yield curve behavior and the relative performance of affine term structure models (ATSMs) using government bond yield data from Canada, Germany, Japan, the U.K., and the U.S. We find strong predictability of forward rates for excess bond returns and reject the expectations hypothesis in all five countries. A three-factor model is sufficient to capture movements in the yield curve of Canada, Japan, the U.K., and the U.S., but may not be enough for Germany. An exhaustive comparison among ATSMs with no more than three factors reveals that the three-factor essential affine model (A1(3)E), with only one factor affecting the volatility of the short rate but with all three factors affecting the price of risk, performs best in all five countries. Simulations provide inconclusive evidence on whether this best affine model can successfully generate the rich yield curve behavior observed in the data.

The Equilibrium Yield Curve for Government Securities

1979 ◽  
Vol 35 (3) ◽  
pp. 31-39 ◽  
Author(s):  
Herbert F. Ayres ◽  
John Y. Barry
Keyword(s):  
Yield Curve ◽  
Equilibrium Yield

Modeling the green bond yield on bond offering

2020 ◽  
Vol 26 (12) ◽  
pp. 2858-2878
Author(s):  
M.I. Emets
Keyword(s):  
Linear Regression ◽  
Yield Curve ◽  
Bond Market ◽  
Third Party ◽  
Bond Pricing ◽  
Market Development ◽  
Fair Price ◽  
Lower Yield ◽  
Yield Curves ◽  
Bond Yield

Subject. The article addresses the green bond pricing as compared to bonds other than green ones. Objectives. The aims are to determine how the fact that a bond is identified as a green one, the issue amount, and the availability of third-party verification, influence the yield to maturity; to make recommendations on effective green bond pricing. Methods. The study employs econometric testing of hypotheses, using the multiple linear regression. The sample includes 318 green and 1695 conventional bonds. Results. Green bonds have a lower yield to maturity in comparison with conventional bonds. The yield to maturity of green bonds with third-party verification is lower, as contrasted with green bonds without verification. Conclusions. The next step in the green bond market development is creating a benchmark yield curve for sovereign green bonds, with parallel issuance of conventional, non-green bonds. The yield curve is crucial for effective bond pricing. Two yield curves, i.e. for green and non-green bonds, will enable investors to estimate the fair price on issuance, as well as to define, if there is a difference in pricing.

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