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 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.     

INFLATION PERSISTENCE AND FLEXIBLE PRICES*

If the central bank follows an interest rate rule, then inflation is likely to be persistent, even when prices are fully flexible. Any shock, whether persistent or not, may lead to inflation persistence. In equilibrium, the dynamics of inflation are determined by the evolution of the spread between the real interest rate and the central bank's target. Inflation persistence can be characterized by a vector autocorrelation function relating inflation and output. This article shows that a flexible‐price, general‐equilibrium business cycle model with money and a central bank using an interest rate target can account for such inflation persistence.     

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).     

Interest rate assumptions and predictive accuracy of central bank forecasts

The interest rate assumptions for macroeconomic forecasts differ among central banks. Common approaches are given by the assumptions that interest rates remain constant over the forecast horizon, follow a path as expected by market participants or follow a path as expected by the central bank itself. Theoretical papers such as Svensson (The instrument-rate projection under inflation targeting: the Norwegian example. Centre for European Policy Studies Working Paper (127), 2006) and Galí (J Monet Econ 58:537–550, 2011) suggest an accuracy ranking for these forecasts, from employing central bank expectations yielding the highest forecast accuracy to conditioning on constant interest rates yielding the lowest. Yet, when investigating the predictive accuracy of the Bank of England’s and the Banco Central do Brasil’s forecasts for interest rates, inflation and output growth, we hardly find any significant differences between forecasts based on the different interest rate paths. Our results suggest that the choice of the interest rate assumption appears to be of minor relevance empirically.     

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。     

Inflationary expectations and monetary policy: evidence from Bangladesh

This article first estimates inflationary expectations using a Blanchard–Quah VAR model by decomposing the nominal interest rate into expected inflation and the ex ante real interest rate. Then I utilize this expected inflation along with other macroeconomic variables as inputs to the monetary policy function in a recursive VAR model to identify exogenous policy shocks. To calculate inflationary expectations, I assume that ex ante real interest rate shocks do not have a long-run effect on the nominal interest rate. This article finds that the public expects lower inflation for the future during periods of high inflation. Estimated results from the recursive VAR suggest that a contractionary policy shock increases the real interest rate, appreciates domestic currency, and lowers inflationary expectations and industrial output. However, I find a lagged policy response from Bangladesh Bank to higher inflationary expectations.     

Inflation dynamics and the cost channel of monetary transmission

Evidence from vector autoregressions indicates that the impact of interest rate shocks on macroeconomic aggregates can substantially be affected by the so-called cost channel of monetary transmission. In this paper, we apply a structural approach to examine the relevance of the cost channel for inflation dynamics in G7 countries. Since firms’ costs of working capital increase with interest rates, we augment a (hybrid) New Keynesian Phillips curve by including the short-run nominal interest rate. We find significant and varying direct interest rate effects for the majority of countries, including member countries of the EMU. Simulations further demonstrate that the estimated interest rate coefficients can substantially affect inflation responses to monetary policy shocks, and can even lead to inverse inflation responses, when the cost channel is - relative to the demand channel - sufficiently strong.     

Asymmetric monetary policy and the effective lower bound

We use the canonical New Keynesian model to study optimal discretionary policy when the nominal interest rate is constrained by the effective lower bound (ELB). We show that policymakers who seek to minimize a (symmetric) quadratic loss function involving deviations of inflation and output from targets will achieve an average inflation rate below target due to the contractionary effects associated with hitting the ELB. We also characterize optimal discretionary policy for policymakers who view output losses as asymmetric: they place weight on the output gap when output is below potential but place little or no weight on the gap when output is above potential. In comparison to optimal policy using the symmetric loss function, the average inflation rate is higher and closer to the central banks target. Moreover, in response to contractionary demand shocks that push the nominal interest rate to the effective lower bound, policymakers with an asymmetric loss function adopt a policy rate path that remains at the ELB longer but eventually rises more quickly than the path adopted by a policymaker with a symmetric loss function.     

THE MISSING LINK BETWEEN INFLATION UNCERTAINTY AND INTEREST RATES

In the literature, there is no consensus about the direction of the effects of inflation uncertainty on interest rates. This paper states that such a result may stem from differentiation in the sources of the uncertainties and analyzes the effects of different types of inflation uncertainties on a set of interest rates for the UK within an interest rate rule framework. Three types of inflation uncertainties – impulse uncertainty, structural uncertainty and steady‐state uncertainty – are derived by using a time‐varying parameter model with a Generalized Autoregressive Conditional Heteroskedasticity specification. It is shown that the impulse uncertainty is positively and the structural uncertainty is negatively correlated with the interest rates. Moreover, these two uncertainties are important to explain short‐term interest rates for the period of inflation targeting era. However, this time, the impulse uncertainty is negatively and the structural uncertainty is positively correlated with the overnight interbank interest rates, which is consistent with the general characteristic of the inflation targeting regimes. Lastly, the evidence concerning the effect of the steady‐state inflation uncertainty on interest rates is not conclusive.     

The effects of the monetary policy regime shift to inflation targeting on the real interest rate in the United Kingdom

This paper studies the effects of the monetary policy regime shift to inflation targeting on the stochastic properties of the real interest rate in the U.K. The empirical analysis suggests a constant mean of the real interest rate that shifts with the monetary policy regime change to inflation targeting in October 1992. The mean-reverting level of the real interest rate has decreased from 5.1% to 2.3% per annum with the change in monetary policy to inflation targeting. In addition, the shift in monetary policy regime to inflation targeting has reduced the volatility of the real interest rate and increased the persistence of real interest rate deviations from the mean. The results suggest that the central bank can affect the stochastic properties of the real interest rate through the choice of monetary policy regime over a long period of time.     

Simple tests of target zones: the Irish case

In a small open economy with fixed exchange rates, tandard theory suggests that domestic inflation and interest rates should equal those abroad. In a credible target zone, the same theories suggest that inflation and interest rates should be ‘close’. Here, we seek to make precise this idea of limits on inflation and interest rate differentials consistent with limits on exchange rate movements. We then examine the case of Ireland, which joined the Exchange Rate Mechanism (ERM) of the European Monetary System (EMS) in 1979 attracted by the prospects of lower, German influenced, inflation and interest rates. We find in the early years of the ERM, both Irish inflation and interest rastes were inconsistent with credibility of the exchange rate regime; in he latter years, from 1987 on, rates were in the derived range around German rates.     

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.     

The natural rate of interest and the output gap in the euro area: a joint estimation

The notion of a natural real rate of interest, due to Wicksell (Interest and prices. Macmillan, London Translation of 1898 edition, 1936), is widely used in current central bank research. The idea is that there exists a level at which the real interest rate would be compatible with output at its potential level and stationary inflation. Such a concept is of primary concern for monetary policy because it provides a benchmark for the monetary policy stance. This paper applies the method suggested by Laubach and Williams (Rev Econ Stat 85(4):1063–1070, 2003) to jointly estimate the natural real interest rate and the output gap in the euro area using data from 1960 onwards. Our results suggest that the natural real rate of interest has declined gradually over the past 40 years. They also indicate that monetary policy in the euro area was on average stimulative during the 1960s and the 1970s, while it contributed to dampen the output gap and inflation in the 1980s and 1990s. The views expressed in this paper are those of the authors and do not necessarily reflect the opinions of the institutions to which they are affiliated. We are grateful to Siem Jan Koopman for very helpful suggestions and comments. We also thank P. Cour-Thimann, V. Curdia, F. Drudi, S. McCaw, D. Rodriguez-Palenzuela, R. Pilegaard, H. Pill, L. Stracca, T. Laubach, J. C. Williams and the participants of an ECB workshop on natural interest rates.     

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.     

Real wages,real interest rates,and the Phillips curve

This article argues that any analysis of a Phillips curve should include the real interest rate in addition to inflation and real wages as any changes in the interest rate changes the labour–capital input mix in the production process leading to a change in the level of employment in the economy. To justify this argument a Phillips curve model is developed, which includes the real interest rate in addition to inflation and real wages. After the diagnosis of the time series properties of the data, an error correction model is developed and estimated using a set of US annual data from 1948 to 1996. The estimated parameters of the model do suggest that one should really take into consideration of the real interest rate while analysing the Phillips curve. A non-nested test (F-test) also suggests that the Phillips curve model with real interest rate as an additional variable performs better than the conventional method that does not include the real interest rate.     

我国居民通胀预期的测度:基于银行间债券市场数据的方法

通胀预期测度是通胀预期管理的前提。文章基于通货膨胀持久性特征,在无套利假设下,将实际通胀率这一宏观变量纳入传统的因子模型中,并运用银行间债券市场收益率数据对我国居民通胀预期进行了估计,结果显示我国居民通胀预期并不完全满足理性预期假设,而是与实际通胀之间存在有规律的系统性偏差,短期实际利率的变动是造成偏差的主要原因。文章认为通过强化货币政策前瞻性可以消除这种偏差,从而抑制实际通货膨胀水平。     

Central Bank Behavior, the Institutional Framework, and Policy Regimes: Inflation Versus Noninflation Targeting Countries

This article estimates central bank reaction functions for 20 OECD countries. It bridges the gap between the Taylor reaction function literature and the political-economy literature. Central banks react to both inflation and the output gap. Moreover, inflation-targeting countries have been able to reduce nominal interest rate to a greater extent than have non-inflation-targeting countries. Countries with fixed exchange rates react more strongly to inflation but not at all to the output gap, unlike countries with floating rates. Political influences also seem relatively more important in fixed exchange rate countries. Central bank independence also helps reduce nominal interest rates. (JEL E58 , C31 , C32 , C53 )     

Term structure and forward guidance as instruments of monetary policy

This paper studies a simple monetary model with a Ricardian fiscal policy in which equilibria are indeterminate if monetary policy consists solely of a rule for fixing the short-term interest rate. We introduce explicitly into the model the agents’ expectations of inflation which create the indeterminacy and show that there are two types of policies—a term structure rule or a forward guidance rule for the short rate—which lead to determinacy. The first consists in fixing the interest rates on a family of bonds of different maturities as function of realized inflation; the second consists in fixing the short-term interest rate and the expected values of the short-term interest rate for a sequence of periods into the future as a function of realized inflation. If the monetary authority chooses an inflation process that satisfies conditions derived in the paper and applies one of these rules, it anchors agents’ expectations to this process, in the sense that it is the unique inflation process compatible with equilibrium when the interest rates or expected future values of the short rate are those specified by the term structure or forward guidance rule.     

Assessing the effectiveness of monetary policy in Kenya: Evidence from a macroeconomic model

This paper examines the effectiveness of monetary policy in Kenya based on policy simulations from a structural macroeconometric model. The analysis is conducted using the policy rate, i.e. the central bank rate (CBR) and the cash reserve ratio (CRR) with respect to the interest rate and bank lending channels, respectively. The results indicate that whereas a change in the policy rate is effective in influencing short term rates, the long term lending rates respond marginally. Consequently, the transmission to the real economy and the overall impact on inflation is minimal. However, a change in CBR has a comparatively higher impact on inflation while a change in CRR has a relatively larger impact on aggregate demand. Enhancing the effectiveness of the CBR and strengthening of the interest rate channel have the potential of anchoring inflation expectations and boosting the effectiveness of monetary policy in Kenya.