Taylor rules and the term structure

The expectations model of the term structure has been subjected to numerous empirical tests and almost invariably rejected, with the failure generally attributed to systematic expectations errors or to shifts in risk premia. Rules for monetary policy designed along the lines of Taylor [1993. Discretion versus policy rules in practice. Carnegie-Rochester Conference Series on Public Policy 39, 195-214] specify that the central bank adjusts short-term yields in response to deviations of inflation and output gaps from target level. Such rules give a good empirical account of the behavior of the short-term interest rate. Combining the Taylor rule and expectations theory, it is possible to generate—along lines pioneered by Campbell and Shiller [1987. Cointegration and tests of present value models. Journal of Political Economy 95, 1062-1088]—a series of theoretical long-term interest rates. When such theoretical rates are calculated for the US over 1980-2004, considerable support for the expectations theory emerges.     

资产市场发展对我国货币政策制定的影响——基于扩展泰勒规则的实证研究

如何确定最优的利率水平以促进宏观经济的发展,是货币政策制定过程中最为关键的问题之一。本文在回顾传统泰勒规则的基础上,总结了当前学术界研究泰勒规则的各种改进成果,进而结合我国宏观经济发展状况,探讨在资产市场规模不断扩大的情况下,我国的货币政策是否考虑了资产市场的价格波动。研究结果表明,我国目前的货币政策可能适度考虑了资产价格波动对宏观经济的影响,但利率政策对资产价格波动反应不敏感,资产价格波动尚未成为影响我国利率政策的重要决定因素。     

Endogenous objectives and the evaluation of targeting rules for monetary policy

Recent research in monetary economics has followed the advice of McCallum [1988. Robustness properties of a rule for monetary policy. Carnegie-Rochester Conference Series on Public Policy 29, 173-203] and investigated the robustness properties of monetary policy rules by evaluating them in a variety of models. Evaluation across models is typically based on an exogenously specified loss function. However, the theory on which many recent monetary policy models are based implies that changes in the structure of the model also have consequences for the policy objectives the central bank should pursue. Objectives are endogenous, not exogenous to the model. In this paper, I investigate the impact of endogenous objectives on the evaluation of targeting rules for monetary policy.     

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.     

开放条件下我国货币政策操作规则检验

本文利用我国1994—2006年的季度数据,分别对开放经济条件下的Taylor规则和McCallum规则进行了实证检验,结果表明,我国货币政策操作一直遵从McCallum规则,Taylor规则不适合我国国情。这意味着,如果经济结构不发生大的变化,就可以根据历史数据回归得到的McCallum规则的各种参数和通胀缺口、实际汇率、货币乘数、货币流通速度等变量的预期变化测算出合理的基础货币增长率,这将为调控基础货币供给提供重要参照。     

Nominal Interest Rates and the News

This paper provides new estimates of the impact of monetary policy actions and macroeconomic news on the term structure of nominal interest rates. The key novelty is to parsimoniously capture the impact of news on all interest rates using a simple no‐arbitrage model. The different types of news are analyzed in a common framework by recognizing their heterogeneity, which allows for a systematic comparison of their effects. This approach leads to novel empirical findings. First, monetary policy causes a substantial amount of volatility in both short‐term and long‐term interest rates. Second, macroeconomic data surprises have small and mostly insignificant effects on the long end of the term structure. Third, the term‐structure response to macroeconomic news is consistent with considerable interest‐rate smoothing by the Federal Reserve. Fourth, monetary policy surprises are multidimensional while macroeconomic surprises are one‐dimensional.     

数量规则还是利率规则？——我国转型时期量价混合型货币规则的理论基础

本文对我国货币政策转型时期兼顾数量和价格的货币政策调控实践进行了深入的分析。在货币数量论和货币效用模型的基础上,从理论上阐明了货币数量规则与利率价格规则的等价关系,并构建了符合中国货币政策实践的数量与价格混合型货币政策规则。这对于更好地理解我国货币政策转型时期的量价混合型货币政策操作具有重要的理论和现实意义。相关推论表明,正是由于数量和价格混合型货币规则,在利率低于均衡水平的情形下,中国的货币增速并未引发恶性通胀;修正的物价稳定泰勒原理表明,利率调整幅度小于通胀变化仍能够实现物价稳定。对中国的经验分析支持了理论和推论结果。在利率市场化基本完成和流动性格局逆转的当下,货币政策价格调控方式转型的必要性和迫切性日益上升,转型的条件日趋成熟。     

The expectations theory works for monetary policy shocks

In practice, the expectations theory of the term structure is employed extensively in monetary policy analysis despite its empirical failure. This paper performs a conditional test of the theory that is directly relevant to monetary theory and policy. It finds that the theory holds quite well conditional on identified monetary policy shocks, but fails conditional on aggregate supply shocks that prompt an immediate jump in prices. It also finds that policy responses to movements in the term structure play an important role in uncovering evidence for the theory as predicted by McCallum [1994. Monetary policy and the term structure of interest rates. NBER Working Paper Series, no. 4938].     

数量规则还是利率规则？——我国转型时期量价混合型货币规则的理论基础

本文对我国货币政策转型时期兼顾数量和价格的货币政策调控实践进行了深入的分析。在货币数量论和货币效用模型的基础上,从理论上阐明了货币数量规则与利率价格规则的等价关系,并构建了符合中国货币政策实践的数量与价格混合型货币政策规则。这对于更好地理解我国货币政策转型时期的量价混合型货币政策操作具有重要的理论和现实意义。相关推论表明,正是由于数量和价格混合型货币规则,在利率低于均衡水平的情形下,中国的货币增速并未引发恶性通胀;修正的物价稳定泰勒原理表明,利率调整幅度小于通胀变化仍能够实现物价稳定。对中国的经验分析支持了理论和推论结果。在利率市场化基本完成和流动性格局逆转的当下,货币政策价格调控方式转型的必要性和迫切性日益上升,转型的条件日趋成熟。     

Changes in the Federal Reserve Communication Strategy: A Structural Investigation

This paper structurally investigates the changes in the Fed's communication strategy since the mid‐1990s through the lens of anticipated and unanticipated disturbances to a Taylor rule. The anticipated disturbances are identified using Treasury bond yield data in estimating a dynamic stochastic general equilibrium (DSGE) model with a term structure of interest rates. Our estimation results show that the Fed's decisions were unanticipated for market participants until 1999, but thereafter a larger portion of its future policy actions tended to be communicated in advance. We also find that the relative contribution of the anticipated monetary policy disturbances to macroeconomic fluctuations became larger after 1999. The bond yield data is indispensable to these results, since it contains crucial information on an expected future path of the federal funds rate.     

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.     

中国化泰勒规则的构建与规则利率的估算——基于考虑金融周期信息的潜在产出与自然利率的再估算

我国货币政策正在向价格型调控方式转型,有必要探索符合我国实际的泰勒规则以确定政策利率目标水平,而如何科学合理地估算潜在产出和自然利率是关键。本文对构建多目标下的中国化泰勒规则时应考虑的因素作了深入探讨,并将金融周期信息纳入我国潜在产出的测算,同时采用基于潜在产出的方法对自然利率进行估算,进而分不同情形尝试估算我国的规则利率水平。结果表明,考虑金融周期信息后的潜在产出在金融扩张期将低于传统方法的估计结果,可为政策制定者有效应对经济运行的过热现象或泡沫化状态提供参考;无论是基于何种潜在产出和自然利率的测算组合,将国内外利差、房价涨幅偏离经济增长程度纳入中国化泰勒规则的构建均是合理的;不同情形下估算的规则利率走势,自2004年以来与货币市场利率走势均较为相近,且2013年后随着利率市场化改革的快速推进,差距呈明显缩小态势,但2017年下半年至2018年期间,受国际宏观形势和国内因素影响,估算的规则利率均快速上扬,与货币市场利率走低形成反差。     

通货膨胀目标制度与我国货币政策借鉴——兼论泰勒规则

内容本文将近似理性假设引入新兴新古典综合理论(New Neoclassical Synthesis),建立起通货膨胀目标制度的理论模型(NPC-MPR模型)和新兴新古典综合泰勒规则模型。之后对我国1993年第一季度到2005年第四季度的宏观经济数据进行协整检验,建立误差修正模型。进而提出了我国货币当局选择通货膨胀目标制度下实施泰勒规则的路径,以提高货币政策的针对性和有效性,稳定物价,促进经济增长。     

Nominal GDP Targeting and the Taylor Rule on an Even Playing Field

Some economists advocate nominal GDP targeting as an alternative to the Taylor Rule. These arguments are largely based on the idea that nominal GDP targeting would require less knowledge on the part of policymakers than a traditional Taylor Rule. In particular, a nominal GDP targeting rule would not require real-time knowledge of the output gap. We examine the importance of this claim by amending a standard New Keynesian model to assume that the central bank has imperfect information about the output gap and therefore must forecast the output gap based on previous information. Forecast errors by the central bank can then potentially induce unanticipated changes in the short-term nominal interest rate, distinct from a standard monetary policy shock. We show that forecast errors of the output gap by the Federal Reserve can account for up to 13% of the fluctuations in the output gap. In addition, our simulations imply that a nominal GDP targeting rule would produce lower volatility in both inflation and the output gap in comparison with the Taylor Rule under imperfect information.     

Rational expectations,changing monetary policy rules,and real exchange rate dynamics

This paper reexamines the explanatory power of Taylor rule fundamentals for real exchange rate determination. We assume the agents know the time-varying parameters in central bank policy rules. The empirical results suggest that a monetary policy rule with regime switching is better able to explain the real Deutschemark/dollar exchange rate from 1976 to 1998 compared with a fixed-regime monetary policy rule. The findings show the importance of accounting for the expectation formation effect in changing policy rules as emphasized by the Lucas critique. Ignoring these effects can undermine the value of the rational expectations models.     

The high-frequency impact of news on long-term yields and forward rates: Is it real?

Macroeconomic news announcements move yields and forward rates on nominal and index-linked bonds and inflation compensation. This paper estimates the reactions using high-frequency data on nominal and index-linked bond yields, allowing the effects of news announcements on real rates and inflation compensation to be parsed far more precisely than is possible using daily data. Long-term nominal yields and forward rates are very sensitive to macroeconomic news announcements. Inflation compensation is sensitive to announcements about price indices and monetary policy. However, for news announcements about real economic activity, such as nonfarm payrolls, the vast majority of the sensitivity is concentrated in real rates. Accordingly, most of the sizeable impact of news about real economic activity on the nominal term structure of interest rates represents changes in expected future real short-term interest rates and/or real risk premia rather than changes in expected future inflation and/or inflation risk premia. Such sensitivity of real rates to macroeconomics news is hard to rationalize within the framework of existing macroeconomic models.     

居民风险偏好与中国货币政策的宏观经济效应——基于DSGE模型的数量分析

当前,我国宏观经济形势复杂多变,货币政策实施效果的影响因素随之呈现多样化特征。在此背景下,本文试图以风险偏好为研究视角,对我国居民风险偏好水平变动与货币政策宏观经济效应之间的关系进行分析。本文以标准新凯恩斯模型为基础,构造符合我国宏观经济现实特征的DSGE(动态随机一般均衡)模型,并对转型时期的最优混合型货币政策规则进行研究;为进一步强调货币在中国宏观经济波动中所扮演的重要角色,模型中引入消费和实际货币余额不可分的跨期效用函数形式。研究结果表明:(1)包含名义货币增长的混合型泰勒规则拟合我国转型时期的货币政策规则效果最佳,因此货币供应量仍是重要的政策工具;(2)与可分性模型相比,不可分模型拟合我国宏观经济现实特征的效果更优。在不可分效用函数下,与货币供应量相关的实际货币余额将影响经济的产出缺口和通货膨胀,使得居民风险偏好成为决定货币政策效果的重要因素。具体而言,当居民风险偏好水平上升时,货币政策对我国宏观经济波动的影响随之增强。因此,在选择货币政策实施时点上,应充分考虑市场中的风险偏好情况,从而更好地发挥货币政策调控宏观经济的职能。     

中国化泰勒规则的构建与规则利率的估算——基于考虑金融周期信息的潜在产出与自然利率的再估算

我国货币政策正在向价格型调控方式转型,有必要探索符合我国实际的泰勒规则以确定政策利率目标水平,而如何科学合理地估算潜在产出和自然利率是关键。本文对构建多目标下的中国化泰勒规则时应考虑的因素作了深入探讨,并将金融周期信息纳入我国潜在产出的测算,同时采用基于潜在产出的方法对自然利率进行估算,进而分不同情形尝试估算我国的规则利率水平。结果表明,考虑金融周期信息后的潜在产出在金融扩张期将低于传统方法的估计结果,可为政策制定者有效应对经济运行的过热现象或泡沫化状态提供参考;无论是基于何种潜在产出和自然利率的测算组合,将国内外利差、房价涨幅偏离经济增长程度纳入中国化泰勒规则的构建均是合理的;不同情形下估算的规则利率走势,自2004年以来与货币市场利率走势均较为相近,且2013年后随着利率市场化改革的快速推进,差距呈明显缩小态势,但2017年下半年至2018年期间,受国际宏观形势和国内因素影响,估算的规则利率均快速上扬,与货币市场利率走低形成反差。     

居民风险偏好与中国货币政策的宏观经济效应——基于DSGE模型的数量分析

当前,我国宏观经济形势复杂多变,货币政策实施效果的影响因素随之呈现多样化特征。在此背景下,本文试图以风险偏好为研究视角,对我国居民风险偏好水平变动与货币政策宏观经济效应之间的关系进行分析。本文以标准新凯恩斯模型为基础,构造符合我国宏观经济现实特征的DSGE(动态随机一般均衡)模型,并对转型时期的最优混合型货币政策规则进行研究;为进一步强调货币在中国宏观经济波动中所扮演的重要角色,模型中引入消费和实际货币余额不可分的跨期效用函数形式。研究结果表明:(1)包含名义货币增长的混合型泰勒规则拟合我国转型时期的货币政策规则效果最佳,因此货币供应量仍是重要的政策工具;(2)与可分性模型相比,不可分模型拟合我国宏观经济现实特征的效果更优。在不可分效用函数下,与货币供应量相关的实际货币余额将影响经济的产出缺口和通货膨胀,使得居民风险偏好成为决定货币政策效果的重要因素。具体而言,当居民风险偏好水平上升时,货币政策对我国宏观经济波动的影响随之增强。因此,在选择货币政策实施时点上,应充分考虑市场中的风险偏好情况,从而更好地发挥货币政策调控宏观经济的职能。     

Monetary Policy Expectations at the Zero Lower Bound

We show that conventional dynamic term structure models (DTSMs) estimated on recent U.S. data severely violate the zero lower bound (ZLB) on nominal interest rates and deliver poor forecasts of future short rates. In contrast, shadow‐rate DTSMs account for the ZLB by construction, capture the resulting distributional asymmetry of future short rates, and achieve good forecast performance. These models provide more accurate estimates of the most likely path for future monetary policy—including the timing of policy liftoff from the ZLB and the pace of subsequent policy tightening. We also demonstrate the benefits of including macroeconomic factors in a shadow‐rate DTSM when yields are constrained near the ZLB.