Using Survey Data of Inflation Expectations in the Estimation of Learning and Rational Expectations Models

Does survey data contain useful information for estimating macroeconomic models? We address this question by using survey data of inflation expectations to estimate the New Keynesian model by Smets and Wouters ( 2007 ) and compare its performance under rational expectations and adaptive learning. The survey information serves as an additional moment restriction and helps us to determine the learning agents' forecasting model for inflation. Adaptive learning fares similarly to rational expectations in fitting macro data, but clearly outperforms rational expectations in fitting macro and survey data simultaneously. In other words, survey data contain additional information that is not present in the macro data alone.     

Information in the U.S. Treasury Term Structure of Interest Rates

We provide evidence of a significant change in the information content of the U.S. Treasury term structure of interest rates over the last 20 years. We apply a regression approach to measure the information in forward interest rates and introduce both a curve fitting method and an alternative data source. We find more information in the recent U.S. Treasury term structure about future interest rates than about expected holding period returns. These results document a significant departure from prior empirical findings.     

中国金融市场通胀预期——基于利率期限结构的量度

通胀预期量度在以通胀预期为导向的货币政策中的意义重大。本文利用卡尔曼滤波法将离散时间两因子无套利广义高斯仿射模型运用于我国银行间债券市场,第一次从中国国债收益率曲线中分解出金融市场的中长期通胀预期L。将L与居民通胀预期和经济学家通胀预期比较,发现从事前看,L优于经济学家通胀预期,稍逊于居民通胀预期;从事后看,L优于居民通胀预期,稍逊于经济学家通胀预期。综合看,L作为金融市场形成的、高频的、反映中长期通胀的预期指数,对货币政策制定具有现实的参考意义。     

Heterogeneous Inflation Expectations and Learning

Using the panel component of the Michigan Survey of Consumers, we estimate a learning model of inflation expectations, allowing for heterogeneous use of private information and lifetime inflation experience. Life experience inflation has a significant impact on individual expectations, but only for 1‐year‐ahead inflation. Public information is substantially more relevant for longer horizon expectations. Even controlling for life experience inflation and public information, idiosyncratic information explains a nontrivial proportion of the inflation forecasts of agents. Women, ethnic minorities, and less educated agents have a higher degree of heterogeneity in their idiosyncratic information, and give less importance to recent movements in inflation.     

Inflation Expectations and Risk Premiums in an Arbitrage‐Free Model of Nominal and Real Bond Yields

Differences between yields on comparable‐maturity U.S. Treasury nominal and real debt, the so‐called breakeven inflation (BEI) rates, are widely used indicators of inflation expectations. However, better measures of inflation expectations could be obtained by subtracting inflation risk premiums (IRP) from the BEI rates. We provide such decompositions using an affine arbitrage‐free model of the term structure that captures the pricing of both nominal and real Treasury securities. Our empirical results suggest that long‐term inflation expectations have been well anchored over the past few years, and IRP, although volatile, have been close to zero on average.     

Tax Clientele Effects in the Term Structure of UK Interest Rates

This paper tests for tax clientele effects in the term structure of UK interest rates. Five empirical models of the term structure of interest rates, incorporating tax effects, are estimated with daily data covering the period 31 March, 1995 to 3 August, 1995. In May 1995, the British government announced its intention to eliminate the tax exemption on capital gains from government bonds, but subsequently in July 1995 backtracked on some of its initial proposals. This period therefore forms the basis of a crude natural experiment in the sense that it provides an opportunity to examine tax clientele effects 'before' and 'after' an event which should have levelled greatly the taxing of government bonds. The empirical analysis suggests large tax clientele effects. However, there is little evidence of tax-specific term structures of interest rates.     

Why Money Growth Determines Inflation in the Long Run: Answering the Woodford Critique

Woodford argues that it is not appropriate to regard inflation in the steady state of New Keynesian models as determined by steady‐state money growth. Woodford instead argues that the intercept term in the monetary authority's interest rate policy rule determines steady‐state inflation. In this paper, I offer an alternative interpretation of steady‐state behavior, according to which it is appropriate to regard steady‐state inflation as determined by steady‐state money growth. The argument relies on traditional interpretations of the central bank's power in the long run and appeals to model properties that are common to textbook and New Keynesian analysis. According to this argument, the only way the central bank can control interest rates in the long run is via affecting inflation, and its only means available for determining inflation is by determining the money growth rate.     

Multi-Factor Cox-Ingersoll-Ross Models of the Term Structure: Estimates and Tests from a Kalman Filter Model

This paper presents a method for estimating multi-factor versions of the Cox-Ingersoll-Ross (1985b) model of the term structure of interest rates. The fixed parameters in one, two, and three factor models are estimated by applying an approximate maximum likelihood estimator in a state-space model using data for the U.S. treasury market. A nonlinear Kalman filter is used to estimate the unobservable factors. Multi-factor models are necessary to characterize the changing shape of the yield curve over time, and the statistical tests support the case for two and three factor models. A three factor model would be able to incorporate random variation in short term interest rates, long term rates, and interest rate volatility.     

New Keynesian Macroeconomics and the Term Structure

This article complements the structural New Keynesian macro framework with a no-arbitrage affine term structure model. Whereas our methodology is general, we focus on an extended macro model with unobservable processes for the inflation target and the natural rate of output that are filtered from macro and term structure data. We find that term structure information helps generate large and significant parameters governing the monetary policy transmission mechanism. Our model also delivers strong contemporaneous responses of the entire term structure to various macroeconomic shocks. The inflation target shock dominates the variation in the "level factor" whereas monetary policy shocks dominate the variation in the "slope and curvature factors."     

Accounting for a Shift in Term Structure Behavior with No-Arbitrage and Macro-Finance Models

This paper examines a shift in the dynamics of the term structure of interest rates in the United States during the mid-1980s. We document this shift using standard interest rate regressions and using dynamic, affine, no-arbitrage models estimated for the pre- and post-shift subsamples. The term structure shift largely appears to be the result of changes in the pricing of risk associated with a "level" factor. Using a macro-finance model, we suggest a link between this shift in term structure behavior and changes in the dynamics and risk pricing of the Federal Reserve's inflation target as perceived by investors.     

A Simple Multi-Factor,Time-Dependent-Parameter Model for the Term Structure of Interest Rates

In this paper, we present a simple version of the Duffie and Kan model (1996). Our model can perfectly fit the yield curve and the volatility curve and further provide true closed form solutions to the pure discount bond price and its European contingent claims. Due to the specific factor structure in our model, the calibration exercise is easy to implement. This advantage will improve the computational efficiency in pricing American style claims.     

Fiscal Adjustment and Inflation Targeting in Less Developed Countries

Inflation targeting may not be viable in less developed countries (LDCs) where policymakers rely too heavily on cuts in infrastructure investment to balance the budget. Using a mix of analytical and numerical methods, we demonstrate that the equilibrium ceases to be saddle point stable under active policy when infrastructure cuts account for 30–70% of fiscal adjustment and the return on infrastructure exceeds a comparatively low threshold value. The result is robust to the form of the Taylor rule, the degree of real wage flexibility, the initial level of debt, the choice of a balanced‐budget or debt‐targeting rule, and the q‐elasticity of private investment spending.     

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.     

Stochastic Volatility in a Macro-Finance Model of the U.S. Term Structure of Interest Rates 1961–2004

This paper generalizes the standard homoscedastic macro-finance model by allowing for stochastic volatility, using the "square root" specification of the mainstream finance literature. Empirically, this specification dominates the standard model because it is consistent with the square root volatility found in macroeconomic time series. Thus it establishes an important connection between the stochastic volatility of the mainstream finance model and macro-economic volatility of the Okun–Friedman type. This research opens the way to a richer specification of both macro-economic and term structure models, incorporating the best features of both macro-finance and mainstream finance models.     

Inflation targeting,credibility, and non-linear Taylor rules

In this paper we systematically evaluate how central banks respond to deviations from the inflation target. We present a stylized New Keynesian model in which agents' inflation expectations are sensitive to deviations from the inflation target. To (re-) establish credibility, monetary policy under discretion sets higher interest rates today if average inflation exceeded the target in the past. Moreover, the central bank responds non-linearly to past inflation gaps. This is reflected in an additional term in the central bank's instrument rule, which we refer to as the ”credibility loss.” Augmenting a standard Taylor (1993) rule with the latter term, we provide empirical evidence for the interest rate response for a sample of five inflation targeting (IT) economies. We find, first, that past deviations from IT feed back into the reaction function and that this influence is economically meaningful. Deterioration in credibility (ceteris paribus) forces central bankers to undertake larger interest rate steps. Second, we detect an asymmetric reaction to positive and negative credibility losses, with the latter dominating the former.     

Uncovering the Hit List for Small Inflation Targeters: A Bayesian Structural Analysis

We estimate underlying structural macroeconomic policy objectives of three of the earliest explicit inflation targeters within the context of a small open economy dynamic stochastic general equilibrium model. We assume central banks set policy optimally, such that we can reverse engineer policy objectives from observed time series data. Joint tests of the posterior distributions of these policy preference parameters suggest that the central banks are very similar in their overall objective. None of the central banks show a concern for stabilizing the real exchange rate. All three central banks share a concern for minimizing the volatility in the change in the nominal interest rate. We also show that the resulting optimal policy rule responds to exchange rate movements, even in the case where the central banks do not explicitly care about exchange rate stabilization. This result is also corroborated by results from an alternative simple-rule characterization and estimation of central bank behavior. These last two findings point to the pitfalls of making inferences, from the level of ad hoc simple rules, about what central banks may care about.     

Design and Estimation of Quadratic Term Structure Models

We consider the design and estimation of quadratic term structuremodels. We start with a list of stylized facts on interest ratesand interest rate derivatives, classified into three layers: (1)general statistical properties, (2) forecasting relations, and (3)conditional dynamics. We then investigate the implications of eachlayer of property on model design and strive to establish amapping between evidence and model structures. We calibrate atwo-factor model that approximates these three layers ofproperties well, and show that a flexible specification for themarket price of risk is important in capturing the stylizedevidence in forecasting relations while factor interactions areindispensable in generating the hump-shaped dynamics of bondyields.     

Greenspan's Conundrum and the Fed's Ability to Affect Long‐Term Yields

In February 2005 Federal Reserve Chairman Alan Greenspan noticed that the 10‐year Treasury yields failed to increase despite a 150‐basis‐point increase in the federal funds rate and called it a “conundrum.” This paper investigates the historical relationship between the 10‐year Treasury yield and the federal funds rate and finds that the relationship changed dramatically in the late 1980s, well in advance of Greenspan's observation. The paper evaluates three competing hypotheses for the change. The evidence from a variety of sources supports the conclusion that the most plausible explanation is that the change occurred because the FOMC began using the federal funds rate as a policy instrument.     

利率期限结构理论研究综述

本文主要对利率期限结构的理论研究做综述,以20世纪70年代初和90年代末为分界线,70年代以前称为传统的利率期限结构,主要以描述性研究为主;70年代以后称为现代利率期限结构,主要以随机模型研究为主;从20世纪90年代末,开始了两极分化发展。本文分为三个部分：第一部分对20世纪70年代之前传统利率期限结构的描述性理论作了概括;第二部分是现代利率期限结构的定量模型,包括均衡模型和无套利模型;第三部分则主要介绍20世纪90年代末以来的一些最新研究进展,包括市场模型和宏观金融模型等。     

Inflation Targeting,Recursive Inattentiveness,and Heterogeneous Beliefs

We consider a monetary authority that provides an explicit inflation target in order to align expectations with the policy objective. However, biased perceptions of the target may arise due to imperfect information flows. We allow agents to revise expectations over time and we model their recursive choice among prediction strategies as an optimization problem under rational inattention. We then investigate whether a simple policy rule can steer the economy toward the targeted equilibrium. Our findings suggest that determinacy under rational expectations may not be sufficient to reach the target. Instead, monetary policy should be fine‐tuned to correct agents' biased beliefs.