The Term Structure, Latent Factors and Macroeconomic Data


Book Description

This paper applies a local linear level model to European yields using the state space methodology to structural equation models in order to obtain an unobserved state vector containing the level, slope and seasonal component of the yields. In addition, this has been performed by differentiating money markets from capital markets' yields. Also an affine term structure model has been calibrated using the estimated level, slope and seasonality from the local linear level model. It is shown that both, the local level model as well as the no-arbitrage approach, perform quite well in replicating the yields. The model also shows that there is strong evidence of macroeconomic effects influencing the level, the slope and the seasonal components common to a set of yields (the yield curve). However, this paper shows that there is weak evidence of yields influencing European macroeconomic variables. This could be interpreted as the central bank and markets responding to macroeconomic releases, which is observed in yield movements, but there is weak evidence of yield innovations influencing the macroeconomy.




Term Structure Dynamics with Macro Factors Using High Frequency Data


Book Description

This paper empirically studies the role of macro factors in explaining and predicting daily bond yields. In general, macro-finance models use low-frequency data to match with macroeconomic variables available only at low frequencies. To deal with this, we construct and estimate a tractable no-arbitrage affine model with both conventional latent factors and macro factors by imposing cross-equation restrictions on the daily yields of bonds with different maturities, credit risks, and inflation indexation. The estimation results using both the US and UK data show that the estimated macro factors significantly predict actual inflation and the output gap. In addition, our daily macro term structure model forecasts better than no-arbitrage models with only latent factors as well as other statistical models.







Term Structure Dynamics with Macroeconomic Factors


Book Description

Affine term structure models (ATSMs) are known to have a trade-off in predicting future Treasury yields and fitting the time-varying volatility of interest rates. First, I empirically study the role of macroeconomic variables in simultaneously achieving these two goals under affine models. To this end, I incorporate a liquidity demand theory via a measure of the velocity of money into affine models. I find that this considerably reduces the statistical tension between matching the first and second moments of interest rates. In terms of forecasting yields, the models with the velocity of money outperform among the ATSMs examined, including those with inflation and real activity. My result is robust across maturities, forecasting horizons, risk price specifications, and the number of latent factors. Next, I incorporate latent macro factors and the spread factor between the short-term Treasury yield and the federal funds rate into an affine term structure model by imposing cross-equation restrictions from no-arbitrage using daily data. In doing so, I identify the highfrequency monetary policy rule that describes the central bank's reaction to expected inflation and real activity at daily frequency. I find that my affine model with macro factors and the spread factor shows better forecasting performance.




Macro Factors in the Term Structure of Credit Spreads


Book Description

We estimate arbitrage-free term structure models of US Treasury yields and spreads on BBB and B rated corporate bonds in a doubly-stochastic intensity-based framework. A novel feature of our analysis is the inclusion of macroeconomic variables -- indicators of real activity, inflation and financial conditions -- as well as latent factors, as drivers of term structure dynamics. Our results point to three key roles played by macro factors in the term structure of spreads: they have a significant impact on the level, and particularly the slope, of the curves; they are largely responsible for variation in the prices of systematic risk; and speculative grade spreads exhibit greater sensitivity to macro shocks than high grade spreads. In addition to estimating risk-neutral default intensities, we provide estimates of physical default intensities using data on Moody's KMV EDFs as a forward--looking proxy for default risk. We find that the real and financial activity indicators, along with filtered estimates of the latent factors from our term structure model, explain a large portion of the variation in EDFs across time. Furthermore, measures of the price of default event risk implied by estimates of physical and risk-neutral intensities indicate that compensation for default event risk is countercyclical, varies widely across the cycle, and is higher on average and more variable for higher-rated bonds.




On the Estimation of Term Structure Models and An Application to the United States


Book Description

This paper discusses the estimation of models of the term structure of interest rates. After reviewing the term structure models, specifically the Nelson-Siegel Model and Affine Term- Structure Model, this paper estimates the terms structure of Treasury bond yields for the United States with pre-crisis data. This paper uses a software developed by Fund staff for this purpose. This software makes it possible to estimate the term structure using at least nine models, while opening up the possibility of generating simulated paths of the term structure.




Forecasting the U.S. Term Structure of Interest Rates Using a Macroeconomic Smooth Dynamic Factor Model


Book Description

We extend the class of dynamic factor yield curve models for the inclusion of macro-economic factors. We benefit from recent developments in the dynamic factor literature for extracting the common factors from a large panel of macroeconomic series and for estimating the parameters in the model. We include these factors into a dynamic factor model for the yield curve, in which we model the salient structure of the yield curve by imposing smoothness restrictions on the yield factor loadings via cubic spline functions. We carry out a likelihood-based analysis in which we jointly consider a factor model for the yield curve, a factor model for the macroeconomic series, and their dynamic interactions with the latent dynamic factors. We illustrate the methodology by forecasting the U.S. term structure of interest rates. For this empirical study we use a monthly time series panel of unsmoothed Fama-Bliss zero yields for treasuries of different maturities between 1970 and 2009, which we combine with a macro panel of 110 series over the same sample period. We show that the relation between the macroeconomic factors and yield curve data has an intuitive interpretation, and that there is interdependence between the yield and macroeconomic factors. Finally, we perform an extensive out-of-sample forecasting study. Our main conclusion is that macroeconomic variables can lead to more accurate yield curve forecasts.




The Term Structure of Credit Spreads and the Economic Activity


Book Description

We estimate arbitrage-free term structure models of US Treasury yields and spreads on BBB and B-rated corporate bonds in a doubly- stochastic intensity-based framework. A novel feature of our analysis is the inclusion of macroeconomic variables - indicators of real activity, inflation and financial conditions - as well as latent factors, as drivers of term structure dynamics. Our results point to three key roles played by macro factors in the term structure of spreads: they have a significant impact on the level, and particularly the slope, of the curves; they are largely responsible for variation in the prices of systematic risk; and speculative grade spreads exhibit greater sensitivity to macro shocks than high grade spreads. In addition to estimating risk-neutral default intensities, we provide estimates of physical default intensities using data on Moody's KMV EDFs"!as a forward-looking proxy for default risk. We find that the real and financial activity indicators, along with filtered estimates of the latent factors from our term structure model, explain a large portion of the variation in EDFs"!across time. Furthermore, measures of the price of default event risk implied by estimates of physical and risk-neutral intensities indicate that compensation for default event risk is countercyclical, varies widely across the cycle, and is higher on average and more variable for higher- rated bonds.







An Affine Factor Model of the Greek Term Structure


Book Description

This paper aims to contribute to our understanding of the dynamics driving the Greek term structure of nominal interest rates and to explore their possible macroeconomic determinants. A canonical, Vasicek-type latent a¢ ne factor model of the Greek term structure is estimated on data spanning the period March 1999 to February 2007. This framework allows us to directly examine the impact of the extracted factors on the shape of the yield curve over time and on the associated price and amount of risk in the term structure. In line with the related literature, three latent factors, i.e. a "level" factor, a "slope" factor and a "curvature" factor, appear to capture most of the time variation in the Greek nominal term structure of interest rates and to drive its dynamics. The evolution of these factors over time is examined on the basis of business cycle theory and related to macroeconomic fundamentals of the Greek economy.