Inflation breakeven in the Jarrow and Yildirim model and resulting pricing formulas

The Jarrow and Yildirim model for pricing inflation-indexed derivatives is still the main reference technique adopted in the inflation market. Despite its popularity it has some shortcomings, the most immediate of which is the difficulty of calibrating to market prices of options due to the large number of parameters involved. Since the market trades options on the inflation rate or index, we reformulate their model in terms of the notion of breakeven inflation. The first main advantage is the possibility of describing the prices of the most popular inflation derivatives as functions of just three parameters: breakeven volatility, the volatility of the CPI price index and the correlation between them. Secondly, the resulting Black–Scholes-implied volatilities are very straightforward to implement and the geometric interpretation of the model makes it intuitive to calibrate. Lastly, the model permits us to reproduce a realistic picture of the current state of the art of the derivatives market and, in particular, due to its simplicity, it is able to estimate the risk premium priced by the inflation market.     

How important is the financial sector to price indices in an inflation targeting regime? An empirical analysis of the UK and the US

This paper investigates whether there are benefits in terms of higher economic stability from incorporating stock prices into the price index targeted by the central banks. It also looks into the question of whether central banks should use stock prices as a component of the output stability index and how the index can be constructed. An optimization technique is employed to estimate weights for the various sectoral prices. The obtained weights, which depend on sectoral parameters, differ from those used in the construction of the consumer price index, CPI. Using data from the UK and the US, our analysis demonstrates that in comparison to the CPI, our measure of inflation leads to a higher output stability. Thus, in an inflation-targeting monetary policy environment, it is important to adopt a broader inflation benchmark than the CPI for the general macroeconomic stability.     

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。     

当前物价上涨压力较大未来压力可能降低

2010年4季度以来,CPI同比涨幅保持高位,上游物价同比涨幅有所反弹。当前,食品价格仍存在较大上涨压力,非食品价格涨幅处于历史高位,输入性通货膨胀压力不减,对上游价格及物价总水平产生较大的压力,但物价涨幅总体可控。先行指标预警分析和动态因子模型预测分析结果表明,未来物价上涨压力可能逐步降低,但需要一个较长的过程。     

Optimal monetary policy in a small open economy with staggered wage and price contracts

We study optimal monetary policy for a small open economy in a model where both domestic prices and wages are sticky due to staggered contracts. The simultaneous presence of the two forms of nominal rigidities introduces an additional trade-off between domestic inflation and the output gap. We derive a second-order approximation to the average welfare losses that can be expressed in terms of the unconditional variances of the output gap, domestic price inflation, and wage inflation. As a consequence, the optimal policy seeks to minimize a weighted average of these variances. We analyze welfare implications of several alternative simple policy rules, and find that domestic price inflation targeting generates relatively large welfare losses, whereas CPI inflation targeting performs nearly as well as the optimal rule.     

股票价格具有货币政策指示器功能吗——来自中国1997～2006年的经验证据

本文运用VAR模型考察了以股票价格为代表的金融资产价格对我国通货膨胀的影响。实证分析表明,我国股票价格的变动对产出缺口存在一定的正向影响,但是这种影响不太稳定,说明我国股票价格通过总需求渠道对未来通货膨胀产生的影响比较微弱。同时,我国股票价格的变动能引起未来CPI和WPI的同向变化,尤其与CPI的关系非常稳定,说明股票价格在一定程度上包含了我国未来通货膨胀的信息。因此,我国股票价格可以作为一个帮助判断未来经济走势和通货膨胀变动趋势的货币政策指示器。     

Following the leader? The relevance of the Fed funds rate for inflation targeting countries

In a New-Keynesian model for a small open economy, we derive a CPI inflation-based Taylor rule that implements the flexible price allocation. We conclude that, in this rule, the natural rate of interest should be linked to the foreign interest rate and to domestic productivity shocks. This rule ensures that the CPI real rate moves in order to induce movements in consumption that are coherent with the flexible price allocation. The empirical evidence shows that inflation-targeting central banks respond to movements in the Fed funds rate, besides reacting to expected CPI inflation and to the domestic output gap. This is true for developed and emerging economies. Furthermore, we find that in emerging countries the response to foreign variables is not different from zero, as suggested by theory, when domestic inflation, rather than CPI inflation, is introduced in the policy rule.     

Monetary policy when potential output is uncertain: Understanding the growth gamble of the 1990s

The Fed kept interest rates low and essentially unchanged during the late 1990s despite a booming economy and record-low unemployment. These interest rates were accommodative by historical standards. Nonetheless, inflation remained low. How did the Fed succeed in sustaining rapid economic growth without fueling inflation and inflationary expectations? In retrospect, it is evident that the productive capacity of the economy increased. Yet as events unfolded, there was uncertainty about the expansion of the capacity of the economy and therefore about the sustainability of the Fed's policy.This paper provides an explanation for the success of the Fed in accommodating growth with stable inflation in the late 1990s. It shows that if the central bank is committed to reverse policy errors it makes because of unwarranted optimism, inflation can remain in check even if the central bank keeps interest rates low because of this optimism. In particular, a price level target—which is a simple way to model a commitment to offset errors—can serve to anchor inflation even if the public does not share the central bank's optimism about shifts in potential output. The paper shows that price level targeting is superior to inflation targeting in a wide range of situations. The paper also provides econometric evidence that, in contrast to earlier periods, the Fed has recently put substantial weight on the price level in setting interest rates. Moreover, it shows that CPI announcement surprises lead to reversion in the price level. Finally, it provides textual evidence that Alan Greenspan puts relatively more weight on the price level than inflation.     

Futures prices and inflation information

This study examines the timing and speed with which inflation futures prices absorb inflation information. Results of the study show that inflation futures prices already reflect the expected inflation. Moreover, 71% of unexpected inflation has been reflected in futures prices about 25 business days prior to the Consumer Price Index (CPI) announcement, which usually coincides with the end of the CPI measurement period. Reaction to the remaining 29% occurs on and shortly after the CPI announcement date, especially on day 0 and day 2. The inflation risk premium that investors are willing to pay to avoid uncertain inflation is estimated to be 1.41% per annum.     

基于VAR的我国产业间价格传导实证分析

价格传导机制是价格机制作用于微观经济主体、发挥资源配置功能的重要载体。我国顺向价格传导机制在工业品出厂价格指数向居民消费物价指数传导环节出现阻滞,而逆向价格传导机制则比较顺畅。这表明我国当前基本不存在成本推动型通货膨胀的价格传导条件,而需求拉上型通货膨胀的价格传导机制却比较顺畅。     

What measure of inflation should a developing country central bank target?

In closed or open economy models with complete markets, targeting core inflation enables monetary policy to maximize welfare by replicating the flexible price equilibrium. We analyze this result in the context of developing economies, where a large proportion of households are credit constrained and the share of food expenditures in total consumption expenditures is high. We develop an open economy model with incomplete financial markets to show that headline inflation targeting improves welfare outcomes. We also compute the optimal price index, which includes a positive weight on food prices but, unlike headline inflation, assigns zero weight to import prices.     

从企业通胀预期看资产价格对物价水平的影响——基准模型与中国借鉴

企业作为市场经济的重要参与主体,其行为对物价水平有着显著影响,而受资产价格影响的企业通货膨胀预期是重要因素之一。综合运用理论分析与数理分析,对传导渠道进行研究发现：资产价格通过现有物价水平、企业对未来影响物价水平因素以及发生财务危机的预期使企业通货膨胀预期发生更大幅度的同向变化,进而使总需求正向变化,总供给负向变化,从而对物价水平产生正向的影响,且这种影响在发达国家更为明显。     

The International Dimension of Inflation: Evidence from Disaggregated Consumer Price Data

We estimate the contribution of international common factors to the dynamics of price inflation rates of a cross-section of 948 CPI products in four OECD countries: United States, Germany, France, and United Kingdom. We find two main results. First, on average, and at least in the sample 1991–2004, one international common factor explains between 15% and 30% of the variance of consumer prices (depending on the transformation applied to the data). Given the high level of disaggregation of our panel, this estimate is best viewed as a lower bound for the contribution of international factors to inflation dynamics. Second, we find a strongly positive and statistically significant relationship between exposure of consumer inflation to international shocks and trade openness at the sectoral level. The latter result holds regardless of whether the original data are expressed in local as opposed to common currency.     

Asset price dynamics,inflation and sectoral composition of output: a dependent economy model

This article develops a dependent economy model that focuses on the interactions between inflation and asset price dynamics under a flexible exchange rate and rational expectation. We assume that money wage adjusts instantaneously to clear the labour market. The asset prices are represented by the Tobin’s q and exchange rate. Using this framework, we will examine implications of monetary policy, fiscal policy, tariff liberalization and exogenous capital flows for inflation and asset prices, which in turn determine the allocation of labour and the sectoral composition of output. The effects of different exogenous and policy-induced shocks critically depend on the difference in the speeds of adjustment in commodity price and asset prices and multiple cross effects generated by changes in these prices.     

Price Setting in the Euro Area: Some Stylized Facts from Individual Producer Price Data

This paper summarizes the microevidence on the setting of producer prices in the euro area. The main findings are: (i) 21% of producer prices are adjusted each month, (ii) producer prices are changed more frequently and by smaller amounts than consumer prices (even after controlling for product characteristics), (iii) price decreases are relatively frequent, (iv) inflation correlates positively with the difference between the frequency of price increases and decreases, and (v) there is substantial variation in price flexibility across sectors, which can be explained in part by differences in the cost structure, the degree of competition, and the level of sectoral inflation.     

良性通货紧缩还是恶性通货紧缩 -基于2011年以来通货膨胀水平下行的原因分析

根据通货紧缩对经济的最终影响,可以分为良性通货紧缩和恶性通货紧缩.在新凯恩斯主义框架下,从理论角度证明了恶性通货紧缩对经济有害,而良性通货紧缩对经济有益.通过实证研究表明:在中长期内,决定中国通货膨胀水平的五个因素分别为产出缺口、全要素生产率、货币、贸易和国际大宗商品价格.而本轮通货膨胀水平下降的主要原因是国际大宗商品价格下降,其次才是经济下行因素,即本轮通货紧缩是以良性通货紧缩为主、恶性通货紧缩为辅的结构性通货紧缩.因此,对当前通货紧缩应采取适当容忍的态度,不应单纯针对价格水平进行大幅干预.     

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.     

Exchange Rate Changes and Inflation in Post‐Crisis Asian Economies: Vector Autoregression Analysis of the Exchange Rate Pass‐Through

Macro‐economic consequences of large currency depreciations among the crisis‐hit Asian economies varied from one country to another. Inflation did not soar after the Asian currency crisis of 1997–98 in most crisis‐hit countries except Indonesia where high inflation followed a very large nominal depreciation of the rupiah. The high inflation meant a loss of price competitive advantage, a key for economic recovery from a crisis. This paper examines the pass‐through effects of exchange rate changes on the domestic prices in the East Asian economies using a vector autoregression analysis. The main results are as follows: (i) the degree of exchange rate pass‐through to import prices was quite high in the crisis‐hit economies; (ii) the pass‐through to Consumer Price Index (CPI) was generally low, with a notable exception of Indonesia; and (iii) in Indonesia, both the impulse response of monetary policy variables to exchange rate shocks and that of CPI to monetary policy shocks were positive, large, and statistically significant. Thus, Indonesia's accommodative monetary policy, coupled with the high degree of CPI responsiveness to exchange rate changes was an important factor in the inflation‐depreciation spiral in the wake of the currency crisis.     

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.     

近十年中国通货膨胀成因的实证分析

近年来,如何防范和治理通货膨胀已成为中国宏观经济领域亟需解决的一项重大课题,而治理通胀的关键在于对其形成原因的科学把握。本文选取CPI和PPI作为通货膨胀的衡量指标,以产出缺口、货币供应量、国际大宗商品价格、超额工资水平、资产价格、汇率水平六大因素作为解释变量,运用向量自回归(VAR)、脉冲响应和方差分解的方法,对2000-2011年中国通货膨胀的形成原因进行实证分析,得到了各项因素的作用大小、作用时滞和传导链条的顺序,最后提出了相应的政策建议。