Forecast uncertainty and the Taylor rule

In this paper, we derive a modification of a forward-looking Taylor rule by integrating two variables that measure the uncertainty of inflation and GDP growth forecasts into an otherwise standard New Keynesian model. We show that certainty-equivalence in New Keynesian models is a consequence of log-linearization and that a second-order Taylor approximation leads to a reaction function that includes the uncertainty of macroeconomic expectations. To test the model empirically, we use the standard deviation of individual forecasts around the median Consensus Forecast as a proxy for forecast uncertainty. Our sample covers the euro area, the United Kingdom, and the United States for the period 1990Q1–2016Q4. We find that the Bank of England and the European Central Bank have a significantly negative reaction to inflation forecast uncertainty. Our findings also reveal that the Federal Reserve (Bank of England) lowers (raises) its interest rate in response to higher GDP growth forecast uncertainty. We conclude by offering some implications for optimal monetary policy rules and central bank watchers.     

A comparison of inflation forecasts

Interest rate models provide slightly better monthly forecasts and substantially better eight- and fourteen-month forecasts of inflation than a univariate time series model. The Livingston surveys underestimate eight- and fourteen-month inflation rates, especially during the high inflation period of 1978–81. In contrast, eight- and fourteen-month inflation forecasts extrapolated from one-month interest rates show little bias and track ex post eight- and fourteen-month inflation rates better than the survey forecasts.     

THE CONTRIBUTION OF INFLATION UNCERTAINTY TO THE VARIABLE IMPACTS OF MONEY ON STOCK PRICES

This paper examines the effects of inflation uncertainty on the lag structure between money growth and stock prices. Using a varying parameter model and the Livingston survey data 1 1 Livingston, J. A., “Inflation Expectations Surveys.” Published twice annually, Philadelphia Sunday Bulletin (1948–1971), Philadelphia Inquirer (1972 on).
as a proxy for inflation uncertainty, the results suggest that only current money growth influences stock prices. However, a large percentage of this positive impact can be expected to be offset by inflation uncertainty prevailing at the time.     

The impact of uncertainty on professional exchange rate forecasts

This paper analyzes the role of uncertainty on both exchange rate expectations and forecast errors of professionals for four major currencies based on survey data provided by FX4casts. We consider economic policy, macroeconomic, and financial uncertainty as well as disagreement among CPI inflation forecasters to account for different dimensions of uncertainty. Based on a Bayesian VAR approach, we observe that uncertainty effects on forecast errors of professionals turn out to be more significant compared to the adjustment of exchange rate expectations. Our findings are robust to different forecasting horizons and point to an unpredictable link between exchange rates and fundamentals. Furthermore, we illustrate the importance of considering common unpredictable components for a large number of variables. We also focus on the post-crisis period and the relationship between uncertainty and disagreement among exchange rate forecasters and identify a strong relationship between them.     

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.     

The implications of central bank transparency for uncertainty and disagreement

Using survey data from 25 economies we provide evidence that greater transparency surrounding monetary policy reduces uncertainty of interest rates and inflation, primarily by reducing uncertainty that is common to agents rather than disagreement between agents. This suggests that studies that focus on disagreement as a proxy for uncertainty understate the benefits of monetary policy transparency. The adoption of inflation targets and forward guidance are both associated with lower uncertainty, although inflation targets have a stronger impact on reducing uncertainty than forward guidance. Moreover, there are diminishing benefits from ever higher levels of transparency. Taken as a whole, our results support the contention that clarity of communication is as important as the magnitude of transparency.     

Identifying the dynamics of real interest rates and inflation: evidence using survey data

In the context of an equilibrium asset-pricing model, the dynamicsof the instantaneous real interest rate and the instantaneousrate of expected inflation are estimated. Unlike previous models,we allow real interest rates and inflation to be mutually dependentprocesses. The model is estimated as a state-space system thatincludes observations on various maturity Treasury bills andNBER-ASA survey forecasts of inflation. Over the period 1968-1988,we find evidence that instantaneous real interest rates andexpected inflation are significantly negatively correlated.Real interest rates also display greater volatility and weakermean reversion than expected inflation.     

IS THE REAL INTEREST RATE REALLY UNSTABLE?

If nominal interest rates have a unit root, but inflation and inflation forecast errors do not, ex-ante real interest rates are argued to have a unit root and are therefore nonstationary. I show that empirical tests for nonstationarity of real interest rates using such a deductive method can be misleading when the stationary inflation forecast errors are large relative to the variation of nominal interest rates.     

The determinants of the return on index bonds

The investor holding an index-linked bond is guaranteed a given real income irrespective of the prevailing inflation rate. The holding-period return (HPR) on such a bond should, therefore adjust to realized inflation; this is the firsthypothesis tested. The value of the bond may also change due to anticipated changes in the real interest rate which should themselves be related to uncertainty about future inflation; hence HPRs on linked bonds may vary with inflation uncertainty (second hypothesis). Furthermore, for bonds with long periods of time to maturity the effect of uncertainty about future inflation rates may be rather small so that as we approach maturity, the effect of inflation uncertainty should increase (third hypothesis). These three hypotheses are tested on a sample of eight Israeli index-linked bonds with maturities three months apart. The first hypothesis is supported by the data but the last two are not.     

THE INFORMATION CONTENT AND USEFULNESS OF THE TERM STRUCTURE OF THE NEW ZEALAND BANK BILL MARKET

This paper applies the rationality concept and expectations hypothesis to test the information efficiency of the term structure of the New Zealand bank bill market. Weekly data is collected from June 1986 to November 1988. The sample period is partitioned into two subperiods by the sharemarket crash in October 1987. The empirical results suggest the presence of a time varying risk premium. This is reflected by the significantly positive volatility measure in the first subperiod and the significant interest rate level variable in both subperiods. The forecast errors correlate significantly with the growth in money supply and overseas interest rate variables. Factors other than market information inefficiency could be responsible for the significant correlation; namely the impact of the sharemarket crash on market perceptions about inflation expectations and the non-simultaneous data problem in calculating the differential costs of borrowing. Despite the rejection of the joint hypothesis, forward rates are found to have information about future spot rates beyond that contained in past spot rates, and are able to predict interest rates at least 30 days ahead.     

Is the Real Interest Rate Stable?

Univariate time-series models for consumption, nominal interest rates, and prices each appear to have a single unit root before 1979. If nominal interest rates have a unit root but inflation and inflation forecast errors do not, then ex ante real interest rates have a unit root and are therefore nonstationary. This deduction does not depend on the properties of the unobservable ex post observed real return, which combines the ex ante real interest rate and inflation-forecasting errors. The unit-root characteristic of real interest rates is puzzling from at least two perspectives: many models imply that the growth rate of consumption and the real interest rate should have similar time-series characteristics; also, nominal returns for other assets (e.g., stocks and bonds) appear to have different times-series properties from those of treasury bills.     

Real Interest Rates and Inflation: An Ex-Ante Empirical Analysis

We develop a method of measuring ex-ante real interest rates using prices of index and nominal bonds. Employing this method and newly available data, we directly test the Fisher hypothesis that the real rate of interest is independent of inflation expectations. We find a negative correlation between ex-ante real interest rates and expected inflation. This contradicts the Fisher hypothesis but is consistent with the theories of Mundell and Tobin, Darby and Feldstein, and Stulz. We also find that nominal interest rates include an inflation risk premium that is positively related to a proxy for inflation uncertainty.     

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.     

The Purchasing Power of Money and Nominal Interest Rates: A Re-Examination

While it has been known for some time that, under uncertainty, the original version of the Fisher hypothesis is not precisely correct, empirical researchers have largely ignored this fact. Such an omission has possibly resulted in erroneous conclusions concerning other hypotheses; most notably the impact of prices on the real economy. This paper clarifies some of the previous interpretations of the existing empirical literature and provides a theoretical version of the relation between prices and interest rates. Empirical tests based on both the Livingston survey data and data from time-series forecasting models provide support for the Fisher effect and the hypothesis that only covariance risk is priced in the Treasury bill market.     

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.     

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.     

Economic Literacy and Inflation Expectations: Evidence from a Laboratory Experiment

We present experimental evidence of a link between economic literacy and inflation forecast accuracy. The experiment investigates two channels through which economic literacy may enable better forecasts: (i) choice of information and (ii) use of information. More literate subjects choose more relevant information and use the given information more effectively. Starting from a 10th percentile score, the boost in literacy from taking an economics course predicts a 0.64 standard deviation decline in mean absolute forecasting error. Our findings suggest that a significant portion of demographic heterogeneity in inflation expectations—observed in survey data—may be driven by heterogeneity in economic literacy.     

中国股债市场长期动态相关性的影响因素研究——基于宏观不确定性和协动性视角

本文借鉴现代宏观经济学中的无套利仿射模型,基于"定价核"的定价方式,将股票市场和债券市场收益率之间的相关系数分解为其主要驱动因素--通货膨胀、真实利率和股息率的不确定性,以及三者之间的协方差。在实证部分,采用DCC-MGARCH模型计算股票市场和债券市场收益率的动态相关系数,验证中国股债相关性的时变规则;进而通过回归分析探究所选取的解释变量对中国股债相关性的贡献。结果表明,通货膨胀和股息率的不确定性以及真实利率与通货膨胀和股息率各自之间的协动性是影响这种相关性的主要因素;通胀冲击、真实利率和股息率可以解释这种相关性与长期动态的暂时背离。其中,通货膨胀和股息率的不确定性对股债相关性的影响与其他欧美主要经济体有着不同的表现,反映了中国市场的特殊性;此外,相较于中国经济市场的平稳时期,股市动荡期间各经济因素的影响会发生改变,且模型解释力会降低。     

Determinacy under Inflation Targeting Interest Rate Policy in a Sticky Price Model with Investment (and Labor Bargaining)

In a sticky price model with investment spending, recent research shows that inflation-forecast targeting interest rate policy makes determinacy of equilibrium essentially impossible. We examine a necessary and sufficient condition for determinacy under interest rate policy that responds to a weighted average of an inflation forecast and current inflation. This condition demonstrates that the average-inflation targeting policy ensures determinacy as long as both the response to average inflation and the relative weight of current inflation are large enough. We also find that interest rate policy that responds solely to past inflation guarantees determinacy when its response satisfies the Taylor principle and is not large. These results still hold even when wages and hours worked are determined by Nash bargaining.     

Return and Maturity Relationships for Treasury Auctions: Evidence from Turkey

The relationship between the interest rate and the maturity of newly issued bonds provides information on the debt dynamics of an economy as well as on the sustainability of its debt. Such information is crucial especially for countries that have debt‐rollover concerns due to financial stress and/or macroeconomic instability. This study investigates the relationship between treasury auction maturity, which also dictates the debt maturity, and auction interest rates. When the Turkish treasury auction data from 1988 to 2004 are analysed, a reciprocal linkage between auction interest rates and maturities can be observed, especially for the 1995–2000 period, when there were chronic high inflation, high political uncertainty, high public deficits and unsuccessful attempts at stabilisation. This suggests that under an adverse shock, the Treasury decreases the auction maturity in order not to increase interest rates too much. A change in this reciprocal relationship is also reported for the post‐2001 era, which is characterised by decreasing inflation, higher political stability, lower public deficits and successful stabilisation attempts.