The Impact of Inflation Measures on the Real Returns and Risk of U.S. Stocks

Using different inflation measures produces economically significant differences in both the inflation record and inflation‐adjusted stock returns. We introduce a more consistent measure of the monthly Consumer Price Index (CPI) inflation rate to better measure real returns over 1913–2004, for which the official CPI exists. We also extend the series backward to 1871 on a monthly basis, an important addition to the data series. We analyze the impact of inflation on the real standard deviation of stock returns and find that, in contrast to the results for geometric mean returns, inflation adjustments have little impact on estimates of return variability.     

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.     

Could COVID-19 Infect the Consumer Prices Index?*

The spread of COVID-19 has led to sweeping changes in the way households work, spend their time and shop, resulting in different shopping patterns and rapid price changes in some goods. How will changes such as these be reflected in headline inflation measures such as the Consumer Prices Index (CPI)? This paper discusses problems in interpreting the CPI as a measure of how the cost of living is changing during the lockdown.     

The Skewness of the Price Change Distribution: A New Touchstone for Sticky Price Models

We present a new way of empirically evaluating various sticky price models that are used to assess the degree of monetary nonneutrality. While menu cost models uniformly predict that price change skewness and dispersion fall with inflation, in the Calvo model, both rise. However, the U.S. Consumer Price Index (CPI) data from the late 1970s onward show that skewness does not fall with inflation, while dispersion does. We present a random menu cost model that, with a menu cost distribution that has a strong Calvo flavor, can match the empirical patterns. The model exhibits much more monetary nonneutrality than existing menu cost models.     

General equilibrium pricing of CPI derivatives

We examine the issue of pricing forward futures and option contracts written on the Consumer Price Index (CPI), the change of which is a measure of inflation affecting the economy. Traditional approaches postulate an exogenous process for the price level and then derive CPI derivatives prices by standard arbitrage arguments. By contrast, we build the general equilibrium of a continuous time monetary economy that is affected by both real and nominal shocks. The price level and thus the inflation rate are found endogenously and solutions for the prices of CPI derivatives are obtained, which are in closed form in a specialized version of the economy.     

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 Friedman rule and inflation targeting

We use concepts from the financial economics discipline – and in particular the methods of continuous time finance – to develop a monetarist model under which the rate of inflation evolves in terms of a first-order mean reversion process based on a ‘white noise’ error structure. The Fokker–Planck (i.e. the Chapman–Kolmogorov) equation is then invoked to retrieve the steady-state (i.e. unconditional) probability distribution for the rate of inflation. Monthly data for the UK Consumer Price Index (CPI) covering the period from 1988 until 2012 are then used to estimate the parameters of the probability distribution for the UK inflation rate. The parameter estimates are compatible with the hypothesis that the UK inflation rate evolves in terms of a slightly skewed and highly leptokurtic probability distribution that encompasses non-convergent higher moments. We then determine the Hamilton–Jacobi–Bellman fundamental equation of optimality corresponding to a monetary policy loss function defined in terms of the squared difference between the targeted rate of inflation and the actual inflation rate. Optimising and then solving the Hamilton–Jacobi–Bellman equation shows that the optimal control for the rate of increase in the money supply will be a linear function of the difference between the current rate of inflation and the targeted inflation rate. The conditions under which the optimal control will lead to the Friedman rule are then determined. These conditions are used in conjunction with the Fokker–Planck equation and the mean reversion process describing the evolution of the inflation rate to determine the probability distribution for the inflation rate under the Friedman rule. This shows that whilst the empirically determined probability distribution for the UK inflation rate meets some of the conditions required for the application of the Friedman rule, it does not meet them all.     

RECENT EVIDENCE ON THE ACCURACY AND RATIONALITY OF POPULAR INFLATION FORECASTS

This paper compares the accuracy and examines the rationality of inflation forecasts extracted from U.S. Treasury bill yields, the mean forecast of surveys conducted by the Institute for Social Research, and the predictions from a rolling time-series model. Measures of realized inflation include both the Consumer Price Index reported during the period and a revised CPI series (CPIX) that replaces the mortgage interest rate with the recently adopted “rental equivalence” component. Inferences about accuracy and rationality depend upon both the measure of inflation and the period studied. The findings suggest that survey forecasts should be used when turbulent variation in the unobservable expected real rate of interest obscures the measurement of the market's expectation of inflation.     

Stationarity and Cointegration in Systems with Real Estate and Financial Assets

This study examines the properties of wealth indices for investments in several asset classes (real estate, stocks, bonds, and Treasury bills), for several types of real estate (office, retail, research and development office, and warehouse), and by region (East, Midwest, South, and West). The series representing the value of investments in real estate and financial assets are not stationary; therefore, ordinary statistical procedures cannot be applied. Since many of the properties that are included in the real estate series have outside appraisals on an annual basis, especially in the fourth quarter, the real estate series may show seasonal influences. Hence, the appropriate test for cointegration is the Johansen's test, which is formulated in such a way as to allow for deterministic seasonality by the inclusion of seasonal dummy variables. The finding of cointegration implies that there is a long-run relationship between the series in the cointegrated system. When the CPI (or a proxy for inflation) is included in the three systems, the number of common factors increase to two, implying that inflation plays an important role in creating a linkage between these time series. These findings also have implications for developing portfolios comprising financial assets and real estate. The findings also have implications for developing a model to forecast real estate prices.     

中国核心通货膨胀率的度量及其货币政策涵义

基于包含实际总产出、货币供给M2和CPI的向量自回归模型(VAR),将CPI分解为长期变动趋势和短期波动项。将长期趋势部分定义为核心通货膨胀率。运用1994～2009年中国季度数据进行实证检验,核心通胀率与CPI有长期均衡关系,主导CPI的长期变动趋势,是CPI的前导变量,能够为预测CPI提供有用信息,对为中央银行判断总体通货膨胀走势、制定及时有效的货币政策有所启示。     

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.     

Measuring a Dynamic Price Index Using Consumption Data

We propose a new method of constructing a dynamic price index (DPI). Under standard assumptions, our DPI is as stable as the Consumer Price Index (CPI). In certain periods, the DPI differs sharply from the CPI.     

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.     

Globalization and Changing Inflation Dynamics in China

This article investigates the changing impact of economic globalization on inflation in China over the post-reform era. We construct an inflation dynamics model with globalization factors from microeconomic foundations. Empirical results with quarterly data spanning from 1984 to 2012 show that in 1994 there was a significant structural change in the inflation dynamics model, after which China’s inflation responded more significantly to foreign economic slack while the slope of the inflation-domestic slack relation reduced substantively.     

Measuring Inflation Expectations Uncertainty Using High‐Frequency Data

Inflation expectations play a key role in determining future economic outcomes. The associated uncertainty provides a direct gauge of how well‐anchored the inflation expectations are. We construct a model‐based measure of inflation expectations uncertainty by augmenting a standard unobserved components model of inflation with information from noisy and possibly biased measures of inflation expectations obtained from financial markets. This new model‐based measure of inflation expectations uncertainty is more accurately estimated and can provide valuable information for policymakers. Using U.S. data, we find significant changes in inflation expectations uncertainty during the Great Recession.     

Directional Accuracy of Urban Consumers’ Inflation Forecasts in China

We evaluate the directional accuracy of inflation forecasts based on the survey data of urban savings account holders in China. By using a new market-timing test, we show that the urban consumers’ expectations of inflation are not a useful predictor of the overall consumer price index (CPI) and the urban household CPI (U-CPI) in China. However, after our in-depth analysis using the inflation rate of each category in the U-CPI basket, we find that the consumers’ forecasts are useful in predicting the movement of the residence component in the U-CPI basket since the third quarter of 2009.     

New Measures for Inflation Uncertainty and Disagreement from Treasury Auctions: Alternative to Surveys

In this article, we propose a novel methodology to construct new uncertainty and disagreement measures for the long-term inflation rate with the use of micro data of Treasury auctions. We employ individual bids submitted in Treasury auctions for nominal and inflation indexed bonds. We argue that these newly formed indicators do not have the problems associated with the survey and market-based uncertainty and disagreement measures. We also focus on the interactions of our proposed measures for inflation rate by comparing the measures commonly used in the literature. The findings of this article are believed to enhance the effectiveness of policy-making by introducing new proxies for crucial economic variables and also by providing the opportunity for other emerging economies with inadequate surveys to construct historical uncertainty and disagreement measures for inflation rates.     

Are REITs inflation hedges?

This study investigates the relationship between returns on Real Estate Investment Trusts (REITs) and anticipated inflation. It was motivated by the contradictory findings in the literature concerning the inflation-hedging characteristics of financial and real assets. We employ the methodology developed by Fama and Schwert, which represents a generalization of the Fisher equation. Two different measures of anticipated inflation were used to estimate the regression equations. The results show that REITs generally tend to behave like equities with respect to their hedging characteristics, regardless of how inflation expectations are measured. When we used a survey measure of anticipated inflation, however, we found some evidence that REITs are partial hedges against anticipated inflation.     

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.     

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。