Inflation and real short-term interest rates - A Kalman filter analysis of the term structure

This paper applies the Kalman filter technique to look at the relationship among real interest rates, inflation, and the term structure of interest rate under the expectations hypothesis. Using quarterly data from 1960:1 to 1991:1 for inflation, three month nominal short term interest rates and long term yields with maturities from one to five years, this paper finds that the expectations hypothesis of the term structure holds up well for the data under the assumptions of a time-varying premium and a random-walk real interest rate. In other words, a reconciliation of the expectations hypothesis with the data is attained by assuming time-varying term premium and non-stationary real interest rate.     

Nonstationarity,cointegration and structural breaks in the Australian term structure of interest rates

This article examines the unit-root property of the Australian short- and long-term interest rates using unit-root tests that accommodate a single or two breaks under the null and/or alternative hypothesis. Two breaks in interest rates are found to coincide with the 1982/83 and 1990/91 recessions or the 1993 inflation targeting period. We further investigate the implications of these structural breaks on the cointegrating relationship implied by the single, linear expectations hypothesis of the term structure of interest rates. While there is evidence that the data are consistent with the expectations hypothesis at the shorter end of the term structure, breaks in interest rates generate a shift in the cointegrating relationship, thus altering the information content of the term structure. Failing to account for a regime shift in the cointegration regression, the data erroneously supports the expectations hypothesis at the longer end of the term structure. These results have profound implications for policy makers who may inadequately exploit the information content of the term structure to predict future changes in inflation.     

Term structure and forward guidance as instruments of monetary policy

This paper studies a simple monetary model with a Ricardian fiscal policy in which equilibria are indeterminate if monetary policy consists solely of a rule for fixing the short-term interest rate. We introduce explicitly into the model the agents’ expectations of inflation which create the indeterminacy and show that there are two types of policies—a term structure rule or a forward guidance rule for the short rate—which lead to determinacy. The first consists in fixing the interest rates on a family of bonds of different maturities as function of realized inflation; the second consists in fixing the short-term interest rate and the expected values of the short-term interest rate for a sequence of periods into the future as a function of realized inflation. If the monetary authority chooses an inflation process that satisfies conditions derived in the paper and applies one of these rules, it anchors agents’ expectations to this process, in the sense that it is the unique inflation process compatible with equilibrium when the interest rates or expected future values of the short rate are those specified by the term structure or forward guidance rule.     

A dynamic Nelson-Siegel yield curve model with Markov switching

This paper proposes a model to better capture persistent regime changes in the interest rates of the US term structure. While the previous literature on this matter proposes that regime changes in the term structure are due to persistent changes in the conditional mean and volatility of interest rates we find that changes in a single parameter that determines the factor loadings of the model better captures regime changes. We show that this model gives superior in-sample forecasting performance as compared to a baseline model and a volatility-switching model. In general, we find compelling evidence that the extracted factors from our term structure models are closely related with various economic variables. Furthermore, we investigate and find evidence that the effects of macroeconomic phenomena such as monetary policy, inflation expectations, and real economic activity differ according to the particular regime realized for the term structure. In particular, we identify the periods where monetary policy appears to have a greater effect on the yield curve, and the periods where inflation expectations seem to have a greater effect in yield determination. We also find convincing evidence of a relationship between the regimes estimated by the various switching models with economic activity and monetary policy.     

Inflation expectations of Brazilian consumers: an analysis based on the FGV survey

ABSTRACT

An accurate assessment of inflation expectations is crucial for the management of monetary policies. However, expectations are not directly observed and are hence normally inferred either from the interest rate structure or from surveys of professional forecasters. Alternatively, a direct measure may be obtained from consumer surveys. The aim of this paper is to study the formation of inflation expectations in Brazil, using a novel dataset based on the FGV/IBRE consumer survey. Basing our model on the rational inattention hypothesis, we find that individual heterogeneity plays a very significant role in shaping individual expectations; also, Brazilians adjust expectations to current inflation and to a fixed reference value, while professional forecasts do not play a very relevant role.     

A Theory of Exchange Rates and the Term Structure of Interest Rates

This paper defines the concepts of indirect and direct risk premium effects and analyzes their properties in an exchange rate model. In the model, these effects are endogenously determined in a rational expectations equilibrium. For the effect of an interest rate shock, they have the opposite signs and the indirect risk premium effect can dominate the direct risk premium effect under reasonable parameters. This means that domestic short‐term bonds and foreign bonds are complements in the model even though domestic long‐term bonds and foreign bonds are substitutes. This model, focusing on the indirect risk premium effect and on the term structure of interest rates, can be combined with a small sample bias approach to explain stylized facts about the forward premium anomaly, which is found for short‐term interest rates, but not for long‐term interest rates.     

The Expectations Theory of the Term Structure of Interest Rates in Australia*

The aim of this paper is to test the expectations theory of the term structure of interest rates in the Australian market for short-term financial assets. The paper finds that the joint hypothesis of the expectations theory and zero (or a constant risk premium) cannot be rejected in the period since the introduction of the tender system for sale of government securities in 1979. The floating of the Australian dollar in 1983 did not alter the findings.     

The empirical validity of the New Keynesian Phillips curve using survey forecasts of inflation

This paper investigates the performance of the New Keynesian Phillips curve when survey forecasts of inflation are used to proxy for inflation expectations. Previous authors such as Brissimis and Magginas (2008) have applied survey measures of inflation expectations to the NKPC, and have concluded that these estimates are superior to those estimated using actual data on future inflation. However this approach employs the use of the labor income share as the proxy for real marginal cost, something which is highly problematic once we consider the countercyclicality of this variable. This paper develops and tests a procyclical marginal cost variable alongside various survey measures of inflation forecasts in the NKPC, while recognizing the problem of weak instruments that occurs when estimating the model using conventional GMM. We find that the NKPC produces a counter-intuitive negative and significant coefficient on procyclical marginal cost when surveys of inflation forecasts are used, which casts serious doubt on the empirical viability of the NKPC model, even when estimated with survey inflation forecasts.     

Rational expectations and fixed-event forecasts: An application to UK inflation

This paper tests a version of the rational expectations hypothesis using ‘fixed-event’ inflation forecasts for the UK. Fixed-event forecasts consist of a panel of forecasts for a set of outturns of a series at varying horizons prior to each outturn. The forecasts are the prediction of fund managers surveyed by Merrill Lynch. Fixed-event forecasts allow tests for whether expectations are unbiased in a similar fashion to the rest of the literature. But they also permit the conduct of particular tests of forecast efficiency - whether the forecasts make best use of available information - that are not possible with rolling-event data. We find evidence of a positive bias in inflation expectations. Evidence for inefficiency is much less clear cut.First version received: June 2002/ Final version received: November 2003We would like two anonymous referees and an editor for comments that have significantly improved the paper. The views expressed in this paper are those of the authors and do not necessarily reflect those of the Bank of England.     

Political risk and the expectations hypothesis

This paper develops and empirically supports, using 3 and 6 month interest rates, a theory that political risk can explain the shifting term premia found in U.S. data. We find that incorporating these political regime shifts yield results that support the expectations hypothesis.     

A test of the expectations hypothesis of the term structure of interest rates for Sri Lanka

This paper tests the expectations hypothesis of the term structure of interest rates for Sri Lanka. The data support the hypothesis that forward and spot rates are cointegrated suggesting a stochastic trend in the structure of interest rates. However, the hypothesis that forward rates are unbiased predictors of future spot rates is rejected.     

The Fisher effect,survey data and time-varying volatility

In this paper we study the Fisher hypothesis using Livingston survey data on inflation expectations. We propose a simple model for the ex-ante real interest rate where the standard deviation of survey forecasts is used to correct for heteroskedasticity. The findings of this paper contradict earlier studies. We find supportive evidence for the Fisher hypothesis that the nominal interest rate and expected inflation move one-for-one both in the short and the long run. Our results also suggest that the change of US monetary policy does not have significant effect on the dynamics of the ex-ante real interest rate such as previous work assumes.     

Observed expectations,news shocks,and the business cycle

This paper exploits information from the term structure of survey expectations to identify news shocks in a DSGE model with rational expectations.We estimate a structural business-cycle model with price and wage stickiness. We allow for both unanticipated and anticipated components (“news”) in each structural disturbance: neutral and investment-specific technology shocks, government spending shocks, risk premium, price and wage markup shocks, and monetary policy shocks.We show that the estimation of a standard DSGE model with realized data obfuscates the identification of news shocks and yields weakly or non-identified parameters pertaining to such shocks. The identification of news shocks greatly improves when we re-estimate the model using data on observed expectations regarding future output, consumption, investment, government spending, inflation, and interest rates - at horizons ranging from one-period to five-periods ahead.The news series thus obtained largely differ from their counterparts that are estimated using only data on realized variables. Moreover, the results suggest that the identified news shocks explain a sizable portion of aggregate fluctuations. News about investment-specific technology and risk premium shocks play the largest role, followed by news about labor supply (wage markup) and monetary policy.     

Robust estimation and inflation forecasting

This paper considers various models emerging from the Fisher effect and/or the term structure of interest rates for inflation forecasting. This paper, it is believed, makes a contribution to the literature on estimation of the models by using a procedure that is robust for non-normal errors, improving the efficiency of the estimates considerably. The Consumer Price Index series, 90 days and 180 days Australian bank-accepted bill rates, covering the sample period 1968Q1 to 1998Q4 were used in this study. Contrary to earlier findings, strong evidence was documented supporting the Fisher effect in the presence of a structural break with the break-point being at 1980Q1. The overall results suggest that the error correction model of the Fisher effect, the term structure of interest rates and short-run dynamics produce superior forecasts, in particular when the models were estimated using the robust method. These findings have important implications for economic policy analysis.     

中国利率期限结构中的宏观经济风险因素分析——基于宏观-金融模型的研究途径

本文应用宏观-金融模型对我国利率期限结构动态过程中的时变宏观经济风险价格进行定量估计,在此基础上,对利率期限结构的预期成分和风险溢价成分进行分解,并且模拟了宏观经济对利率期限结构的冲击效应。研究结果表明,我国利率期限结构中存在着显著的时变宏观经济风险价格;不同期限利率可以明显地分解出预期成分和风险溢价成分,风险溢价成分的变动具有阶段性特点;宏观经济冲击在短期内对利率期限结构的整体水平与坡度均有明显影响,在长期内则仅对整体水平的影响较为明显。因此,我国利率期限结构可以体现出宏观经济形势的变化,应该进一步提高利率期限结构在货币政策制定中的作用。     

Future inflation and the information in international term structures

This paper extends previous work on the information content of the term structure of interest rates using a newly constructed dataset for the United States, Japan, Germany, Switzerland, France, Belgium and the Netherlands (1982–1991). Results significantly differ from Jorion and Mishkin (1991). Apparently, the relation between the term structure of interest rates and future inflation is highly period- and country-dependent. We provide new evidence that these results may be due to the inability of financial markets to accurately predict a term structure of inflation in combination with the conduct of monetary policy. This probably accounts for large variation in ex post real interest rate levels and the term structure of real interest rates. Consequently, it is unlikely that the term structure of nominal interest rates will serve as a good indicator of future inflationary developments.     

Nominal Interest Rates as Indicators of Inflation Expectations

The properties of nominal interest rates as indicators of inflation expectations are evaluated. Are they unbiased? How precise are they? To arrive at robust results, a range of different methods are applied on several US and UK data sets. The results show that the interest rate level is a reasonably good indicator of the level of inflation expectations. However, changes in interest rates are poor indicators of changes inflation expectations.