A Phillips Curve with Anchored Expectations and Short‐Term Unemployment

This paper examines the behavior of U.S. core inflation, as measured by the weighted median of industry price changes. We find that core inflation since 1985 is well‐explained by an expectations‐augmented Phillips curve in which expected inflation is measured with professional forecasts and labor‐market slack is captured by the short‐term unemployment rate. We also find that expected inflation was backward‐looking until the late 1990s, but then became strongly anchored at the Federal Reserve's target. This shift in expectations changed the relationship between inflation and unemployment from an accelerationist Phillips curve to a level‐level Phillips curve. Our specification explains why high unemployment during the Great Recession did not reduce inflation greatly: partly because inflation expectations were anchored, and partly because short‐term unemployment rose less sharply than total unemployment.     

中国通货膨胀预期及其影响因素分析——基于混频无套利Nelson-Siegel利率期限结构扩展模型

综合国债市场的利率期限结构信息以及不同频率的宏观信息,本文构建混频无套利Nelson-Siegel利率期限结构扩展模型,在对不同期限债券进行一致性定价理论约束下,提取了中国通货膨胀预期的期限结构并对其进行影响因素分析。研究结果表明,本文模型提取的通胀预期期限丰富、结果稳健,具有较好的参考价值。通胀预期水平和变动响应主要受货币增长率、通胀率及全球食品价格变动等国内外相关宏观变量的影响,与国债收益率因子之间的关系不显著;国债收益率因子对中长期通胀预期的方差波动具有较强解释力,表明国债定价反映了未来通胀的不确定性。本文研究有助于充分利用我国宏观与金融市场信息条件,有效发现和锚定通胀预期,一方面,研究结果可为政策制定者和市场投资者提供科学的决策参考,另一方面,研究方法对丰富宏观金融领域的分析框架具有参考价值。     

中国通货膨胀预期及其影响因素分析——基于混频无套利Nelson-Siegel利率期限结构扩展模型

综合国债市场的利率期限结构信息以及不同频率的宏观信息,本文构建混频无套利Nelson-Siegel利率期限结构扩展模型,在对不同期限债券进行一致性定价理论约束下,提取了中国通货膨胀预期的期限结构并对其进行影响因素分析。研究结果表明,本文模型提取的通胀预期期限丰富、结果稳健,具有较好的参考价值。通胀预期水平和变动响应主要受货币增长率、通胀率及全球食品价格变动等国内外相关宏观变量的影响,与国债收益率因子之间的关系不显著;国债收益率因子对中长期通胀预期的方差波动具有较强解释力,表明国债定价反映了未来通胀的不确定性。本文研究有助于充分利用我国宏观与金融市场信息条件,有效发现和锚定通胀预期,一方面,研究结果可为政策制定者和市场投资者提供科学的决策参考,另一方面,研究方法对丰富宏观金融领域的分析框架具有参考价值。     

Do Inflation Expectations Propagate the Inflationary Impact of Real Oil Price Shocks?: Evidence from the Michigan Survey

This paper presents evidence that inflation expectations, as measured by the Michigan Survey of Consumers, only play a minimal role in the propagation of real oil price shocks into inflation. This is despite evidence that confirms that inflation expectations are sensitive to real oil price shocks. Further analysis suggests that after the 1990s, inflation expectations may have played no part in propagating real oil price shocks into inflation.     

Inflation and the formation of expectations

This paper develops a model of expectations which generates paths that are consistent with observations that an acceleration of the monetary growth rate initially raises and eventually lowers real holdings of cash balances. It introduces a two-part expectations hypothesis where individuals are assumed to form expectations about the entire path of the price level and about the short-term inflation rate. Interaction between regressive and extrapolative elements induces a transitory rise in money holdings during the initial phase of inflation as expectations are that the process will reverse itself. Subsequently, as expectations catch up, the decline in desired holdings induces an overshooting of the inflation rate.     

通胀预期与物价变化关系实证研究

本文分析了通胀预期的表现形式,重点探讨了通胀预期与物价变化的关系。研究结果显示,通胀预期对不同种类的价格影响程度是不同的,对消费品价格变化影响较小,CPI对通胀预期缺乏敏感;对企业生产品价格影响程度远大于对消费品价格的影响。     

The nominal duration of TIPS bonds

This paper studies the price responsiveness (effective duration) of U.S. government issued inflation-indexed bonds, known by the acronym TIPS (Treasury Inflation-Protected Securities), to changes in nominal interest rates, real interest rates, and expected inflation. Using the TIPS pricing formula derived by Laatsch and Klein [Q. Rev. Econ. Finance 43 (2002) 405], we first confirm that TIPS bonds have zero sensitivity to changes solely in expected inflation. By changes solely in expected inflation, we mean that the real rate remains unchanged and the nominal rate changes in accordance with the established Fisher [Publ. Am. Econ. Assoc. 11 (1896)] effect. We show that the first derivative of the TIPS price is zero whenever the real rate is held constant. Thus, the first partial derivative of the TIPS bond pricing formula with respect to expected inflation is zero and the first partial derivative of the TIPS bond price with respect to nominal rates is also zero, given, in each case, that we hold the real rate constant. We then temporarily shift the analysis to zero-coupon TIPS bonds and zero-coupon ordinary Treasury bonds. We prove that the nominal duration of zero-coupon TIPS bonds equals that of zero-coupon ordinary Treasury bonds when the real rate changes but expected inflation is held constant.However, if expected inflation changes and the change in the nominal rate does not yield a constant real rate, zero-coupon TIPS prices will change and they will change by a smaller percentage than will zero-coupon ordinary Treasury bonds. We analyze TIPS responsiveness to changes in nominal rates under such conditions. We derive an approximation to effective duration that demonstrates that the effective durations of various maturity zero-coupon TIPS bonds are approximately linear functions in time to maturity of the effective duration of the one-year zero-coupon TIPS bond, ceteris paribus.Nominal effective duration of TIPS bonds is certainly of interest to fixed income portfolio managers that might have a desire to include such bonds in their portfolio. After all, the greater portion of a typical fixed income portfolio is in traditional, noninflation protected bonds whose major risk exposure is to changes in nominal rates. To properly assess the role of TIPS bonds in the portfolio, portfolio managers need information as to how TIPS bonds respond to the changes in nominal rates that are driving the price behavior of the bulk of the portfolio's assets. Prior to concluding the paper, we demonstrate how portfolio managers can calculate the nominal durations of coupon TIPS bonds using the zero-coupon duration formula we derive.     

Explanatory factors of the inflation news impact on stock returns by sector: The Spanish case

We study the short run response of daily stock prices on the Spanish market to the announcements of inflation news at an industrial level, deepening the potential explanatory factors of this response (risk-free interest rate, risk premium and growth expectations). We observe a positive and significant response of the stock returns in case of “bad news” (total inflation rate higher than expected one) in recession, and also in case of negative inflation surprises (“good news”) in non-economic recession. This behaviour is consistent with the evolution of the company dividend growth expectations, since we observe that the relationship between this theoretical component of the stock price and the unexpected inflation, to a large extent, seems to explain the observed behaviour.     

COMMON STOCK RETURNS,EXPECTED INFLATION,AND THE RATIONAL EXPECTATIONS HYPOTHESIS

This paper provides empirical evidence that expected inflation has a cross-sectional impact on common stock returns. The study differs from others in that (a) the relation between stock returns and expected inflation is investigated in a two-factor asset pricing model, where the factors are the return on an equally weighted stock portfolio and the expected rate of inflation; (b) the estimation of the expected rate of inflation is based on the rational expectations hypothesis of Muth; and (c) a non-linear seemingly unrelated regression technique is employed to determine consistent and asymptotically efficient estimates. The joint hypothesis of the two-factor asset pricing model and rational expectations is not rejected in this study. It is found that the return on common stocks is significantly affected by expected inflation. Also stocks whose returns are positively correlated with expected inflation have lower expected returns.     

Monetary randomness and investment

This paper develops a neoclassical model in which the behavior of the money supply affects investment by affecting the real distribution of asset returns. Investment depends on wealthholders' demand for capital. A stochastic money growth rule influences portfolio choice by affecting the distribution of the inflation rate. The variance of inflation matters to wealthholders because of the existence of assets with returns that are not indexed to changes in the price level: money and bonds which are contracted in nominal terms. In a rational expectations environment, asset demands will thus be sensitive to the distribution of the money growth rate. Our principle conclusion is that an increase in the variance of the money growth rate lowers investment, which complements Tobin's (1965) result that an increase in the mean stimulates capital accumulation. The paper also represents a step toward incorporating an asset market into a macroeconomic model in a manner which takes account of Lucas' (1976) criticism of econometric policy evaluation. All variables in the model, including asset return distributions, are functions of technology, preferences and the money supply rule. Further, expectations are rational.     

Inflation targeting & implications of oil shocks for inflation expectations in oil-importing and exporting economies: Evidence from three Nordic Kingdoms

In the context of the debate on inflation targeting, this paper analyses the impact of the oil shocks on inflation expectations in three Nordic Kingdoms. A NARDL framework is applied to data from Jan 1994 to June 2018 on the Kingdoms of Norway, Sweden and Denmark. Our key findings suggest that there are considerable nonlinearities and asymmetries in the relationship between inflation expectations, oil shocks and economic determinants of inflation expectations. The expectations formulated in the past have a very significant negative impact on future inflation expectations (adaptive expectations) and there is heterogeneity in the adaptiveness pace. A country's net oil trade position seems to reflect on the impact of oil price shocks on the inflation expectations and there is asymmetry and downwards inflation expectations rigidity. There is strong evidence of exchange rate pass-through to inflation expectations. Prevailing regimes of price stability can support to anchor future inflation expectations. Reduction in fiscal deficit and increases in money supply has a positive impact while unemployment has a negative impact on inflation expectations. The cumulative multiplier analysis showed that the impact of oil shock was symmetric in Sweden and Denmark but asymmetric in Norway which is a large net oil exporter. Besides the adoption of explicit inflation targeting regime by Sweden and Norway, the inflation expectations in the underlying economies are prone to the oil price shocks and macroeconomic determinants. These shocks pose a whole set of challenges to monetary authorities in these economies and the findings in the subject treatise provide some guidance on how each shock may transmit.     

Real Stock Returns and Inflation

This paper develops the relation between the real rate of return on the stock market and changes in the price level using a multiperiod economy with production. The observed relation between real ex post stock returns and inflation is shown to be consistent with equilibrium in an economy with rational investors. The relation between expected real returns and expected inflation is shown to depend on the form of the economy's production function and on the form of investor preferences. When the production function exhibits stochastic constant returns to scale, the model explains the negative relation between expected real returns and expected inflation which has frequently been observed in empirical studies.     

The Relation between Stock Prices and Inflationary Expectations: The International Evidence

This paper provides empirical evidence on the relation between stock returns and inflationary expectations for nine countries over the period 1971–80. The Fisherian assumption that real returns are independent of inflationary expectations is soundly rejected for each major stock market of the world. Using interest rates as a proxy for expected inflation, our data provide consistent support for the Geske and Roll model whose basic hypothesis is that stock price movements signal (negative) revisions in inflationary expectations. Finally, a weak real interest rate effect was found for some of these countries.     

货币因素、供给冲击与中国通胀动态特征

本文将以货币供应量和汇率为代表的货币因素、供给因素以及需求因素引入菲利普斯曲线建立了新凯恩斯混合菲利普斯曲线,并利用1995年第1季度～2013年第2季度的数据来实证分析不同因素对于我国通货膨胀动态衍化的影响。研究表明：前瞻性预期与通货膨胀惯性对于我国通货膨胀的影响同时存在,但是前瞻性预期对于我国通货膨胀的影响较大;其次,货币供应量变动对于我国通货膨胀率影响具有最重要的作用,而代表需求因素的产出缺口以及代表供给冲击的原油价格对于我国通货膨胀的影响很小;最后,人民币实际汇率升值对通货膨胀可以产生一定的抑制作用,但作用不大。     

The term structures of equity and interest rates

This paper proposes a dynamic risk-based model capable of jointly explaining the term structure of interest rates, returns on the aggregate market, and the risk and return characteristics of value and growth stocks. Both the term structure of interest rates and returns on value and growth stocks convey information about how the representative investor values cash flows of different maturities. We model how the representative investor perceives risks of these cash flows by specifying a parsimonious stochastic discount factor for the economy. Shocks to dividend growth, the real interest rate, and expected inflation are priced, but shocks to the price of risk are not. Given reasonable assumptions for dividends and inflation, we show that the model can simultaneously account for the behavior of aggregate stock returns, an upward-sloping yield curve, the failure of the expectations hypothesis, and the poor performance of the capital asset pricing model.     

The Fiscal and Monetary Linkage between Stock Returns and Inflation

Contrary to economic theory and common sense, stock returns are negatively related to both expected and unexpected inflation. We argue that this puzzling empirical phenomenon does not indicate causality. Instead, stock returns are negatively related to contemporaneous changes in expected inflation because they signal a chain of events which results in a higher rate of monetary expansion. Exogenous shocks in real output, signalled by the stock market, induce changes in tax revenue, in the deficit, in Treasury borrowing and in Federal Reserve “monetization” of the increased debt. Rational bond and stock market investors realize this will happen. They adjust prices (and interest rates) accordingly and without delay. Although expected inflation seems to have a negative effect on subsequent stock returns, this could be an empirical illusion, since a spurious causality is induced by a combination of: (a) a reversed adaptive inflation expectations model and (b) a reversed money growth/stock returns model. If the real interest rate is not a constant, using nominal interest proxies for expected inflation is dangerous, since small changes in real rates can cause large and opposite percentage changes in stock prices.     

Reconsidering the Relationship between Inflation and Relative Price Variability

It has long been popularly believed that the relationship between inflation and relative price variability (RPV) is positive and stable. Using disaggregated CPI data for the United States and Japan, however, this study finds that the relationship is neither linear nor stable over time. The overall relationship is approximately U‐shaped around a nonzero threshold inflation rate. RPV therefore changes not with the inflation rate per se, but with the deviation of inflation from the threshold inflation rate. More importantly, the relationship is by no means stable over time but instead varies significantly in a way that coincides with regime changes of inflation or monetary policy. The relationship was positive during the period of high inflation of the 1970s and the early 1980s, as has been documented by a number of previous studies, whereas it takes a U‐shape profile during the Great Moderation. The results are robust to the use of core inflation, which excludes the traditionally volatile prices of food and energy. This paper then presents a modified version of the Calvo‐type sticky price model to describe the observed empirical regularities. Simulation experiments show that the modified Calvo model fits the data well, and that the underlying relationship hinges upon the degree of price rigidity, which is systematically related to inflation regime. For countries and periods with low inflation rates, the relationship takes a U‐shape as price adjustment is more sticky. In a high‐inflation environment, when price setting becomes more flexible, the U‐shaped profile vanishes.     

An arbitrage model of the term structure of interest rates

A formula for the price of default-free discount bonds of all maturities is found using a Black- Scholes type of arbitrage model which is based on the assumption that a portfolio of three default-free discount bonds of distinct maturities can be managed to be a perfect substitute for any other default-free discount bond. The formula relates the price of bonds to the real rate of interest, the anticipated rate of inflation and the equilibrium prices of interest rate and inflation risks. Bond prices are shown to be the expected value of the sure nominal proceeds of the bond discounted to the present at a random discount rate. It is shown that the unbiased expectations hypothesis is in general inconsistent with this model.     

Do Actions Speak Louder Than Words? Household Expectations of Inflation Based on Micro Consumption Data

Survey data on household expectations of inflation are routinely used in economic analysis, yet it is not clear how accurately households are able to articulate their expectations in survey interviews. We propose an alternative approach to recovering households' expectations of inflation from their consumption expenditures. We show that these expectations measures have predictive power for consumer price index (CPI) inflation. They are better predictors of CPI inflation than household survey responses and more highly correlated with professional inflation forecasts, except for highly educated consumers, consistent with the view that more educated consumers are better able to articulate their expectations. We also document that households' inflation expectations respond to inflation news, as measured by the unpredictable component of inflation predictions in the Survey of Professional Forecasters. The response to inflation news tends to increase with households' level of education, consistent with the existence of constraints on household's ability to process this information.