Economic determinants of the nominal treasury yield curve

Macroeconomic shocks account for most of the variability of nominal Treasury yields, inducing parallel shifts in the level of the yield curve. We develop a new approach to identifying macroeconomic shocks that exploits model-based empirical shock measures. Technology shocks shift yields through their effect on expected inflation and the term premium. Shocks to preferences for current consumption affect yields through their impact on real rates and expected inflation. For both shocks, the systematic reaction of monetary policy is an important transmission pathway. We find little evidence that fiscal policy shocks are an important source of interest rate variability.     

The term structure of real interest rates: theory and evidence from UK index-linked bonds

This paper studies the behavior of the default-risk-free real term structure and term premia in two general equilibrium endowment economies with complete markets but without money. In the first economy there are no frictions as in Lucas (Econometrica 46 (1978) 1429) and in the second risk-sharing is limited by the risk of default as in Alvarez and Jermann (Econometrica 68 (2000) 775; Rev. Financial Studies 14 (2001) 1117). Both models are solved numerically, calibrated to UK aggregate and household data, and the predictions are compared to data on real interest rates constructed from the UK index-linked data. While both models produce time-varying risk or term premia, only the model with limited risk-sharing can generate enough variation in the term premia to account for the rejections of expectations hypothesis.     

Self-fulfilling expectations and the inflation of the 1970s: Evidence from the Livingston Survey

Using survey data on expectations, we examine whether the response of monetary policy to sudden movements in expected inflation contributed to the persistent high inflation of the 1970s. The evidence suggests that, prior to 1979, the Fed accommodated temporary shocks to expected inflation, which then led to persistent increases in actual inflation. We do not find this behavior in the post-1979 data. Among commonly cited factors, oil and fiscal shocks do not appear to have triggered an increase in expected inflation that eventually resulted in higher actual inflation.     

No-arbitrage Near-Cointegrated VAR(p) term structure models,term premia and GDP growth

The recent macro-finance literature does not agree either about the empirical properties of the expectation part and of the term premium on long-term bonds or about the importance or even the direction of the relationship between the term premium and future economic activity. This paper proposes a two-step approach to handle both problems. First, in a VAR setting, we extract a reliable measure of the term premium by means of averaging estimator techniques aiming at optimally solving prediction problems when highly persistent processes are present and, thus, providing a so called Near-Cointegrated VAR(p) approach. Second, we analyze the dynamic response of GDP to shocks to the term premium by using the New Information Response Function concept. As far as the first problem is concerned, we find that the NCVAR-based term premium measure is rather stable and counter-cyclical, as suggested by interest rates survey-based estimation of yield curve models and by its risk compensation role. Regarding the second problem, we find that an increase in the long-term spread caused by the term premium induces two effects on future economic activity: the impact is negative for short horizons (less than 1 year), whereas it is positive for longer ones.     

Testing the expectations hypothesis of the term structure with permanent-transitory component models

This study proposes a new application of Permanent-Transitory Component Models (PTCMs) to test the Expectation Hypothesis of the Term Structure (EHTS). Unlike previous approaches, tests based on PTCMs can simultaneously detect departures from rational expectations and time varying term premia. We set out analytically and empirically the links across previous tests and PTCMs. We also show that PTCMs identify an additional restriction for rational expectations, on top of the one-to-one relationship between forward and spot rates, that must be imposed in estimations of term premia. Data for the short-end of the US term structure suggest that both factors contribute to the rejection of the EHTS. Moreover, the empirical estimates of term premia are persistent and exhibit sign fluctuations. Their stochastic properties depend crucially on whether the additional restriction for rational expectations is imposed in estimation.     

Pricing the term structure of inflation risk premia: Theory and evidence from TIPS

In this paper, we study inflation risk and the term structure of inflation risk premia in the United States' nominal interest rates through the Treasury Inflation Protection Securities (TIPS) with a multi-factor, modified quadratic term structure model with correlated real and inflation rates. We derive closed form solutions to the real and nominal term structures of interest rates that drastically facilitate the estimation of model parameters and improve the accuracy of the valuation of nominal rates and TIPS prices. In addition, we contribute to the literature by estimating the term structure of inflation risk premia implied from the TIPS market. The empirical evidence using data from the period of January 1998 through October 2007 indicates that the expected inflation rate, contrary to data derived from the consumer price indices, is very stable and the inflation risk premia exhibit a positive term structure.     

The expectations hypothesis of the term structure when interest rates are close to zero

In an economy where cash can be stored costlessly in nominal terms, the nominal interest rate is bounded below by zero. This paper derives the implications of this non-negativity constraint for the term structure and shows that it induces a nonlinear and convex relation between short- and long-term interest rates. The long-term rate responds asymmetrically to changes in the short-term rate, and by less than that is predicted by the benchmark linear model. In particular, a decrease in the short-term rate produces a smaller response in the long-term rate than an increase of the same magnitude. The empirical predictions of the model are examined using data from Japan.     

Interest rate expectations and uncertainty during ECB Governing Council days: Evidence from intraday implied densities of 3-month EURIBOR

This paper analyses changes in short-term interest rate expectations and uncertainty during ECB Governing Council days. For this purpose, it extends the estimation of risk-neutral probability density functions up to tick frequency. In particular, the non-parametric estimator of these densities, which is based on fitting implied volatility curves, is applied to estimate intraday expectations of 3-month EURIBOR 3 months ahead. Estimates of the noise impact on the statistical moments of the densities enhance the interpretation. In addition, the paper assesses the impact of the ECB communication during Governing Council days. The results show that the whole density may react to the communication and that such repositioning of market participants’ expectations will contain information beyond that of changes in the consensus view already observed in forward rates. The results also point out the relevance of the press conference in providing extra information and triggering an adjustment process for interest rate expectations.     

The term structure of policy rules

A formula is derived that links the coefficients of the monetary policy rule for the short-term interest rate to the coefficients of the implied affine equations for long-term interest rates. The formula predicts that an increase in the coefficients in the monetary policy rule will lead to an increase in the coefficients in the affine equations. Empirical evidence for such a prediction is provided. The curve of the response coefficients by maturity is also predicted by the formula. The formula's predictive accuracy and its closed form make it a useful tool for studying the policy implications of embedding no-arbitrage affine theories into macro models.     

Identifying the influences of nominal and real rigidities in aggregate price-setting behavior

We formulate a generalized price-setting framework that incorporates staggered contracts of multiple durations and that enables us to directly identify the influences of nominal vs. real rigidities. We estimate this framework using macroeconomic data for Germany (1975-1998) and for the U.S. (1983-2003). In each case, we find that the data are well-characterized by nominal contracts with an average duration of about two to three quarters. We also find that new contracts exhibit very low sensitivity to marginal cost, corresponding to a relatively high degree of real rigidity. Finally, our results indicate that backward-looking price-setting behavior (such as indexation to lagged inflation) is not needed in explaining the aggregate data, at least in an environment with a stable monetary policy regime and a transparent and credible inflation objective.     

Models of the yield curve and the curvature of the implied forward rate function

We examine several alternative models of the UK gilt yield curve using daily data for the period 12 July 1996-10 February 2010. We select the best models according to two criteria: low out of sample errors in pricing bonds and low curvature of the implied forward rate curve function. We suggest additions to some of the models that significantly improve their performance. Some of the new models out perform those typically used by the central banks. In particular this paper suggests that the model used by the Canadian Central Bank which both outperforms other models and is particularly easy to estimate, is well suited to the UK gilt market.     

Robustness and real consequences of nominal wage rigidity

Nominal wage rigidity has been shown to exist in periods of high inflation, while reduction in nominal pay has been hypothesized to occur in times of low inflation. Nominal wage rigidity would therefore become irrelevant because there is little need to cut nominal pay under high inflation, while the necessary cuts would occur under low inflation. We test this hypothesis by examining Swiss data in the 1990s, where wage inflation was low. Nominal wage rigidity proves robust in a low inflation environment, constituting a considerable obstacle to real wage adjustments. Real wages would indeed respond to unemployment without downward nominal rigidity. Moreover, wage sweep-ups caused by nominal rigidity correlate strongly to unemployment, suggesting downward nominal wage rigidity fuels unemployment.     

Forecast rationality and monetary policy frameworks: Evidence from UK interest rate forecasts

We find evidence of heterogeneity and irrationality among professional forecasts for three-month inter-bank rates and ten-year gilt yields at both short and long forecast horizons over the period 1989-2006. The majority of biased forecasts overestimate the future spot rate, consistent with slow adjustment to the declining trend in inflation and interest rates. Furthermore, we produce evidence indicating that both monetary policy actions and elements of communication policy have information content regarding the rationality of forecasts. Changes in official bank rates and disagreement among the Monetary Policy Committee influence the rationality of forecasts. The publication of inflation reports has no effect.     

Modelling the term structure of interest rates: An efficient nonparametric approach

We propose a new approach for estimating the coefficients of the term structure equation by means of the volatility of the interest rates and the slope of the yield curve. One advantage of this approach consists in the fact that the drift and the market price of risk are jointly estimated and need not be individually specified. We then generate trajectories in a test problem to investigate the finite properties of this approach. Our simulation results show that this new approach outperforms the classic nonparametric models in the literature. Finally, an application to USA Treasury Bill data is also illustrated.     

Estimating New-Keynesian Phillips curves: A full information maximum likelihood approach

The New-Keynesian Phillips curve has recently become an important ingredient in monetary policy models. However, using limited information methods, the empirical support for the New-Keynesian Phillips curve appear to be mixed. This paper argues, by means of Monte Carlo simulations with a simple New-Keynesian sticky price model, that single equations methods, e.g. GMM, are likely to produce imprecise and biased estimates. Then, it is argued that estimating the model with full information maximum likelihood (FIML) is a useful way of obtaining better estimates. Finally, a version of the model used in the Monte Carlo simulations is estimated on U.S. data with FIML and although the pure forward-looking New-Keynesian Phillips curve is rejected, a version with both forward- and backward-looking components provides a reasonable approximation of U.S. inflation dynamics.     

Inflation ambiguity and the term structure of U.S. Government bonds

Variations in trend inflation are the main driver for variations in the nominal yield curve. According to empirical data, investors observe a set of empirical models that could all have generated the time-series for trend inflation. This set has been large and volatile during the 1970s and early 1980s and small during the 1990s. I show that log utility together with Knightian uncertainty about trend inflation can explain the term premium in U.S. Treasury bonds. The equilibrium has two inflation premiums, an inflation risk premium and a Knightian inflation ambiguity premium.     

Disagreement about inflation and the yield curve

We show that inflation disagreement, not just expected inflation, has an impact on nominal interest rates. In contrast to expected inflation, which mainly affects the wedge between real and nominal yields, inflation disagreement affects nominal yields predominantly through its impact on the real side of the economy. We show theoretically and empirically that inflation disagreement raises real and nominal yields and their volatilities. Inflation disagreement is positively related to consumers’ cross-sectional consumption growth volatility and trading in fixed income securities. Calibrating our model to disagreement, inflation, and yields reproduces the economically significant impact of inflation disagreement on yield curves.     

The term structure of interbank risk

We infer a term structure of interbank risk from spreads between rates on interest rate swaps indexed to the London Interbank Offered Rate (LIBOR) and overnight indexed swaps. We develop a tractable model of interbank risk to decompose the term structure into default and non-default (liquidity) components. From August 2007 to January 2011, the fraction of total interbank risk due to default risk, on average, increases with maturity. At short maturities, the non-default component is important in the first half of the sample period and is correlated with measures of funding and market liquidity. The model also provides a framework for pricing, hedging, and risk management of interest rate swaps in the presence of significant basis risk.     

Monetary policy regimes: Implications for the yield curve and bond pricing

We develop a multivariate dynamic term structure model, which takes into account the nonlinear (time-varying) relation between interest rates and the state of the economy. In contrast to the classical term structure literature, in which nonlinearities are captured by increasing the number of latent state variables or by latent regime shifts, in our no-arbitrage framework the regimes are governed by thresholds and are directly linked to economic fundamentals. Specifically, starting from a simple monetary policy model for the short rate, we introduce a parsimonious and tractable model for the yield curve, which takes into account the possibility of regime shifts in the behavior of the Federal Reserve. In our empirical analysis, we show the merit of our approach three dimensions: interpretable bond dynamics, accurate short end yield curve pricing, and yield curve implications.