Cross-Country Evidence on the Ability of the Nominal Interest Rate to Predict Inflation

This paper examines the viability of using short-term interest rates to forecast inflation as implied by the Fisher hypothesis. A major problem with this approach lies in the implicit assumptions that the real interest rate is constant and that the relationship between inflation and interest rate does not change over time. We demonstrate, using quarterly data for four OECD countries, that by relaxing these assumptions and allowing for seasonality in the inflation rate it is possible to obtain a model with a high degree of forecasting accuracy and efficiency.
JEL Classification Numbers: C22, C52, E31.     

The inflationary bias of real uncertainty and the harmonic Fisher equation

Summary. We argue that real uncertainty itself causes long-run nominal inflation. Consider an infinite horizon cash-in-advance economy with a representative agent and real uncertainty, modeled by independent, identically distributed endowments. Suppose the central bank fixes the nominal rate of interest. We show that the equilibrium long-run rate of inflation is strictly higher, on almost every path of endowment realizations, than it would be if the endowments were constant.Indeed, we present an explicit formula for the long-run rate of inflation, based on the famous Fisher equation. The Fisher equation says the short-run rate of inflation should equal the nominal rate of interest less the real rate of interest. The long-run Fisher equation for our stochastic economy is similar, but with the rate of inflation replaced by the harmonic mean of the growth rate of money.Received: 25 February 2005, Revised: 26 May 2005, JEL Classification Numbers: C7, C73, D81, E41, E58.An earlier version of this paper “Inflationary Bias in a Simple Stochastic Economy,” as a 2001 Cowles Foundation Discussion Paper No. 1333.     

Correct cointegration tests of the long-run relationship between nominal interest and inflation

The Fisher (1930) hypothesis suggests that a long-run equilibrium relationship exists between the non-stationary series: nominal interest and expected inflation. Testing such a cointegrating relationship is complicated by the presence of the unobserved ex antereal rate of interest in residuals from the cointegrating regression. Assumptions concerning the stochastic properties of the expected real rate of interest are examined, and two proxies for the ex antereal rate are employed in multivariate cointegration tests of the Fisher hypothesis.     

Budget deficits,short-term real interest rates and the specification of expected inflation: an empirical investigation

The purpose of this paper is to illustrate whether empirical estimates of the effects of budget deficits on short-term real interest rates are sensitive to the choice of the expected inflation variable. Survey data on expected inflation and the rational expectations method described by Mishkin (1981) are used to construct two measures of the short-term real interest rate. Results for two previous studies on this deficit-interest rate relationship are re-estimated using these measures of expected inflation and the interest rate variables. Additional results reported in this paper further indicate that empirical estimates of the interest rate effects of budget deficits are sensitive to the choice of the expected inflation variable. In addition to the choice of the inflation variable, a number of other robustness tests are included. We are able to conclude that (1) increases in budget deficits do not generally raise short-term real interest rates and (2) short-term real interest rates are not independent of the expected inflation variable.

The rate of interest is always based upon expectation, however little this may be justified by realization. Man makes his guess of the future and stakes his action upon it … Our present acts must be controlled by the future, not as it actually is, but as it appears to us through the veil of chance (Fisher, 1907, p. 213).     

Regime Switches, Biased Expectations, and the Brazilian Inflationary Experience

The paper analyzes how an error in inflation expectations helped maintain high interest rates in the wake of the major stabilization plans launched in Brazil over the past 18 years. Newly implemented low-inflation measures lacked credibility and forced agents to expect a higher inflation rate than the one effectively observed, creating a wedge between ex-post and ex-ante real interest rates. The results also indicate that past failures have helped undermined the credibility of new measures.     

The process of technical change in UK manufacturing

This paper tests the validity of the Fisher hypothesis, which establishes a positive relation between interest rates and expected inflation, for the G7 countries and 45 developing economies. For this purpose, we estimate a version of the GARCH specification of the hypothesis for all countries included in the sample. We also test the augmented Fisher relation by including the inflation uncertainty in the equation. The simple Fisher relation holds in all G7 countries but in only 23 developing countries. There is a positive and statistically significant relationship between interest rates and inflation uncertainty for six of the G7 and 18 of the developing countries and this relationship is negative for seven developing countries.     

The Fisher hypothesis: a multi-country analysis

This paper tests whether the Fisher hypothesis holds for a sample of 26 countries by assessing the long run relationship between nominal interest rates and inflation rates taking into consideration the short run dynamics of interest rates. The empirical evidence supports the hypothesis that there is a one-to-one relationship between the interest rate and inflation for more than half of the countries under study.     

Information content of U.S. treasury inflation-indexed bonds

U.S. Treasury inflation-indexed bonds are designed to provide a stable real return before taxes. A comparison between these bonds and conventional bonds reveals that the effective real yield of U.S. Treasury inflation-indexed bonds is attractive. The econometric results suggest, however, that the real rate provided by U.S. Treasury inflation-indexed bonds is not independent of inflation, implying that the Fisher hypothesis is contradicted by the data. An implication of negative correlation between the real rate and inflation is that the time to buy U.S. Treasury inflation-indexed bonds is when inflation is low. While the yields on U.S. Treasury inflation-indexed bonds are shown to reflect inflation by a lag of about one month, nominal interest rates do not fully adjust to inflation. The author would like to thank Richard A. Cohn and Mahmoud Wahab for their advice and comments.     

A panel analysis of the fisher effect with an unobserved I(1) world real interest rate

The Fisher effect states that inflation expectations should be reflected in nominal interest rates in a one-for-one manner to compensate for changes in the purchasing power of money. Despite its wide acceptance in theory, much of the empirical work fails to find favorable evidence. This paper examines the Fisher effect in a panel of 21 OECD countries over the period 1983–2010. Using the Panel Analysis of Non-stationarity in Idiosyncratic and Common Components (PANIC), a non-stationary common factor is detected in the real interest rate. This may reflect permanent common shifts in e.g. time preferences, risk aversion and the steady-state growth rate of technological change. We therefore control for an unobserved non-stationary common factor in estimating the Fisher equation using both the Common Correlated Effects Pooled (CCEP) and the Continuously Updated (Cup) estimation approach. The impact of inflation on the nominal interest rate is found to be insignificantly different from 1, providing support of the Fisher effect.     

Inflation and real short-term interest rates - A Kalman filter analysis of the term structure

This paper applies the Kalman filter technique to look at the relationship among real interest rates, inflation, and the term structure of interest rate under the expectations hypothesis. Using quarterly data from 1960:1 to 1991:1 for inflation, three month nominal short term interest rates and long term yields with maturities from one to five years, this paper finds that the expectations hypothesis of the term structure holds up well for the data under the assumptions of a time-varying premium and a random-walk real interest rate. In other words, a reconciliation of the expectations hypothesis with the data is attained by assuming time-varying term premium and non-stationary real interest rate.     

The Impact of Inflation Uncertainty on Interest Rates in the UK

This paper assesses the effect of expected inflation and inflation risk on interest rates within the Fisher hypothesis framework. Autoregressive Conditional Heteroscedastic models are used to estimate the conditional variability of inflation as a proxy for risk. With the UK quarterly data from 1958:4 to 1994:4, we found that both the expected inflation and the conditional variability of inflation positively affect the UK three‐month Treasury‐bill rate.     

A note on the specification of the fisher equation under inflation uncertainty

The effect of uncertainty on the relationship between the nominal interest rate and the expected rate of inflation, the Fisher equation, is examined both theoretically and empirically. It is found that the coefficient of the expected rate of inflation is significantly below unity. Variable rates of inflation tend to effect the nominal rate of interest positively, but real yields are apparently effected only by expected inflation, but not its variance.     

Interest rates and the fisher effect in India: An empirical study

This study throws light on the importance of adjustment lags, variability of inflation, changes in real income, etc. in the empirical estimation of Fisher hypothesis. Variability of inflation has a significant negative impact on both short- and long-term interest rates in a developing economy like India. The ‘Philips Curve Effect’ has not been operative in a developing country.     

Evaluating the Fisher effect in long-term cross-country averages

This article uses long-term cross-country data to examine the Fisher hypothesis that nominal interest rates respond point-for-point to changes in the expected inflation rate. The analysis employs bounded-influence estimation to limit the effects of hyperinflation countries such as Brazil and Peru. Contrary to the results in Duck (1993), the present evidence does not support a full Fisher effect. By extending the empirical model to account for cross-country differences in sovereign risk, we find evidence consistent with the idea that interest rates fail to fully adjust to inflation due to variation in the implicit liquidity premium on financial assets.     

The Global Financial Crisis and Stochastic Convergence in the Euro Area

This paper analyzes the issue of convergence in the original Euro Area countries, and assesses the effect of the global financial crisis on the process of convergence. In particular, we consider whether the global financial crisis pulled the 12 economies of the Euro Area together or pushed them apart. We investigate the dynamics of stochastic convergence of the original Euro Area countries for inflation rates, nominal interest rates, and real interest rates. We test for convergence relative to Germany, taken as the benchmark for core EU standards, using monthly data over the period January 2001 to September 2010. We examine, in a time-series framework, three different profiles of the convergence process: linear convergence, nonlinear convergence, and linear segmented convergence. Our findings both contradict and support convergence. Stochastic convergence implies the rejection of a unit root in the inflation rate, nominal interest rate, and real interest rate differentials. We find that the differentials are consistent with a unit-root hypothesis when the alternative hypothesis is a stationary process with a linear trend. We frequently, but not always, reject the unit-root hypothesis when the alternative is a stationary process with a broken trend. We also note that the current financial crisis plays a significant role in dating the breaks.     

‘Ex-ante’ Taylor rules – Newly discovered evidence from the G7 countries

This paper addresses the question of whether financial market participants apply the framework of Taylor-type rules in their forecasts for the G7 countries. To this end, we use the Consensus Economic Forecast poll providing us a unique data set of inflation rate, interest rate and growth rate forecasts for the time period 1989-2008. We provide empirical evidence that financial market participants incorporate Taylor-type rules in their forecasts. Thus, the paper uses ex-ante data for the estimation of Taylor rules. This is a new approach, because so far only ex-post (revised) or real-time data have been applied.     

通货膨胀、汇率波动与货币政策——基于符号约束的贝叶斯VAR模型实证研究

通过构建通货膨胀形成的理论模型,本文运用符号约束的贝叶斯VAR方法探讨通货膨胀和汇率波动对产出增长的影响。结果发现：实际利率对通货膨胀和人民币升值冲击均有较大的响应,且受通货膨胀的影响更大,即稳定价格的货币政策比稳定汇率的政策更加有效;通货膨胀冲击下,实际利率在长期有所上升,但并未达到控制通货膨胀的效果,实际利率偏低阻碍了货币政策效果的发挥;人民币升值对产出增长具有较大的负面影响,对通货膨胀具有负向）中击,但由于油价上涨的原因,人民币升值并没有降低通货膨胀水平。     

Financial reforms and credit growth in Nigeria: empirical insights from ARDL and ECM techniques

In the last 37 years, Nigeria has undergone several stages of financial reforms with different impacts on the economy. This paper analyses the impact of these financial reforms on credit growth in Nigeria using annual data from 1980 to 2016. The research work hinges on the theoretical underpinning of McKinnon-Shaw hypothesis on the relevance of financial reforms in a lagging economy. Analysing the data with autoregressive distributed lag error correction representation and bounds testing techniques, we find evidence supporting this hypothesis, and specifically that at higher real interest rates there is increased financial intermediation evidenced by credit growth. Other findings are that in the long-run, financial system deposits, inflation rate and per capita GDP are strong asymmetrical predictors of credit growth and real interest rates (the financial reform indicator), while the short-run relationships are indicator-specific. We further show that a long-run cointegration relationship exists between domestic credit and other covariates and likewise between the real interest rate and its regressors.     

An examination of the Fisher Hypothesis: the case of Turkey

This study examines the famous Fisher Hypothesis (FH) for Turkey. FH asserts that nominal interest rates adjust on a one-to-one basis to expected changes in inflation rates. Using the Johansen cointegration method for the Turkish monthly interest rate and inflation rate data, we find that it is possible to determine the long-run relationship—but not the one-to-one basis—between nominal interest rates and inflation. Our findings suggest that full FH does not hold but there is a very powerfull Fisher effect in the case of Turkey from 1990 to 2003.     

An Evaluation of Alternative Methods of Forecasting Australian Inflation

The purpose of this paper is to evaluate the forecast of Australian inflation based on four alternative procedures: a univariate time series model, an interest rate model, an error correction model and a public survey of inflation forecasts. We derive estimates of expected and unexpected inflation from each of the methods and compare the out-of-sample forecasting results. Based on a range of evaluation criteria, the time series model dominates the other models, with the interest rate model, the error correction model and the survey forecasts following in that order.