Taylor rules and the Great Inflation

Can US monetary policy in the 1970s be described by a stabilizing Taylor rule when policy is evaluated with real-time inflation and output gap data? Using economic research on the full employment level of unemployment and the natural rate of unemployment published between 1970 and 1977 to construct real-time output gap measures for periods of peak unemployment, we find that the Federal Reserve did not follow a Taylor rule if appropriate measures are used. We estimate Taylor rules and find no evidence that monetary policy stabilized inflation, even allowing for changes in the inflation target. While monetary policy was stabilizing with respect to inflation forecasts, the forecasts systematically under-predicted inflation following the 1970s recessions and this does not constitute evidence of stabilizing policy. We also find that the Federal Reserve responded too strongly to negative output gaps.     

Threshold cointegration and nonlinear adjustment between goods and services inflation in the United States

In this paper, we model the long-run relationship between goods and services inflation for the United States over the period 1968:1–2003:3. Our empirical methodology makes use of recent developments on threshold cointegration that consider the possibility of a nonlinear relationship between the two inflation series. According to our results, the null hypothesis of linear cointegration would be rejected in favor of a two-regime threshold cointegration model. Consequently, we could expect a cointegrating relationship only when the divergence between services inflation and goods inflation is above the threshold point estimate.     

Revisiting the Link Between Stock Prices and Goods Prices in OECD Countries

Fisher hypothesis postulates positive relation between stock return and inflation; however early studies document negative relationship between the two and they conclude that stock cannot be used as a hedge against inflation. In this paper we explore long‐run nonlinear relationship between stock price and goods price. Our sample consists of 19 OECD countries; all or some of these countries have been studied before with the findings of linear cointegration between the stock index and goods price index. Based on unit root tests and linear cointegration test, we apply threshold cointegration tests, Autoregressive Distributed Lag (ARDL) cointegration test and panel VAR method. With all these econometric methods we arrive at heterogeneous findings as follows: two countries have linear cointegration, five countries have threshold cointegration, nine countries do not have any cointegration and finally two countries provide inconclusive results. Estimates of Fisher coefficient provided by linear and nonlinear cointegration methods, which range between 1.27 and 1.86, are consistent with previous studies. Impulse response analysis from panel VAR for countries having no cointegrating relation shows that shock to inflation produces negative response in stock return, which supports findings of earlier studies.     

Instrumental variable estimation of a nonlinear Taylor rule

This article studies nonlinear, threshold, models in which some of the regressors can be endogenous. An estimation strategy based on instrumental variables was originally developed for dynamic panel models and we extend it to time series models. We apply this methodology to a forward-looking Taylor rule, where nonlinearity is introduced via inflation thresholds.     

Monetary Policy Rules for Transition Economies: An Empirical Analysis

In this paper, we investigate the monetary policy reaction functions for the new European Union member states. We find interesting differences when looking at both interest rates (the Taylor rule) and monetary base (the McCallum rule) as monetary policy rules. Monetary aggregate is more likely to react to the deviation of inflation from its target, while short‐term interest rates are highly sensitive to the deviation of exchange rates in the Czech Republic, Poland, Slovakia, and Slovenia. For Hungary and Romania, both interest rates and money are responsive to inflation. In empirical literature, much attention is paid to the use of the Taylor‐type rule for developed economies. However, our empirical results raise questions on the reliance of this rule for these transition economies.     

Asymmetric effects in the Polish monetary policy rule

In this paper we investigate whether the reaction function of the National Bank of Poland (NBP) is asymmetric according to the level of inflation gap and the level of output gap. Moreover, we test whether these asymmetries might possibly stem from nonlinearities in the Phillips curve. Threshold models are applied and two cases of unknown and known threshold values are investigated. Our results show that the Polish central bank responds more strongly to the level inflation when the level of inflation is relatively high. We find very weak evidence that the level of inflation reacts more strongly to the output gap when the output gap is relatively high. Thus, the asymmetries in the monetary policy rule seem to indicate asymmetric preferences of the central bank.     

Are monetary-policy reaction functions asymmetric?: The role of nonlinearity in the Phillips curve

This paper investigates the implications of a nonlinear Phillips curve for the derivation of optimal monetary policy rules. Combined with a quadratic loss function, the optimal policy is also nonlinear, with the policy-maker increasing interest rates by a larger amount when inflation or output are above target than the amount it will reduce them when they are below target. Specifically, the main prediction of our model is that such a source of nonlinearity leads to the inclusion of the interaction between expected inflation and the output gap in an otherwise linear Taylor rule. We find empirical support for this type of asymmetries in the interest rate-setting behaviour of four European central banks but none for the US Fed.     

泰勒规则在中国的协整检验

本文在全面分析泰勒规则的理论含义和实际应用的基础上 ,运用协整分析方法估计我国泰勒规则的具体形式。检验结果表明 ,泰勒规则可以恰当地描述我国银行间拆借利率的具体走势 ,并充当央行货币政策的决策依据。考虑到货币政策的时滞问题 ,本文尝试引入前瞻性泰勒规则 ,用预期通货膨胀率缺口代替原有的通货膨胀率缺口作为估计变量 ,对泰勒规则作进一步修正     

Asymmetric behavior of inflation differentials in the euro area: Evidence from a threshold unit root test

This paper tests the existence of persistent inflation rate differentials in the euro area by employing linear as well nonlinear unit root tests. Besides linear unit root tests, a two-regime threshold unit root test examines the conjecture that inflation rate differentials follow a nonlinear two-regime process towards a threshold, switching from the persistent regime to the transitory one and vice versa. The results imply that threshold nonlinearity is confirmed in 10 out of the 16 cases. However, we have found unit root regime-switching behavior only in six out of the 16 cases under investigation. This finding implies that these inflation rate differentials were persistent when they were low (regime 1), but transitory when they were high (regime 2). This asymmetric behavior can possibly be explained by the different degree of pressure exercised on governments, which is accompanied with different inflation rate differentials. On the contrary, despite the evidence of nonlinearity, the majority of the inflation rate differentials are found to be monotonically persistent. Our results have strong implications for policy makers. In particular, the documented persistency in the inflation rate differentials might have long-run costs in terms of price and macroeconomic stability.     

Detecting cointegration relationships under nonlinear models: Monte Carlo analysis and some applications

Testing for cointegration in the presence of nonlinear adjustments or structural breaks is important for examining the equilibrium relationship among economic variables. It is known that standard cointegration tests perform poorly when a cointegration relationship has nonlinear adjustments or structural breaks. However, it is not clear how some cointegration tests allowing for nonlinearity perform under other classes of nonlinear cointegration models. This paper investigates which cointegration tests help detect a cointegration relationship with nonlinear adjustments or structural breaks. Our Monte Carlo simulation results demonstrate that the cointegration test with threshold adjustment generally has better power performance under most cointegration relationships with nonlinearity. We also provide empirical applications to the money demand and term structure of the U.S. interest rates. The empirical results show that the test allowing for threshold adjustment provides strong evidence of the cointegration relationships of money demand and the term structure of interest rates.     

Taylor rules in the open economy

Taylor rules, which link short-term interest rates to fluctuations in inflation and output, have been shown to be a good guide (both positively and normatively) to the conduct of monetary policy. As a result they have been used extensively to model policy in the context of both closed and open economy models. Their determinacy properties have also been analysed in the context of closed and, to a more limited degree, in small open economy models. In this paper, we extend the analysis of the determinacy properties of Taylor rules to the case of a benchmark two-country model. When the rules are specified in terms of output-price inflation we confirm and extend the conventional results from the closed economy literature—satisfying the Taylor principle is the key to ensuring determinacy, although the presence of backward-looking price-setting can affect the determinacy properties of the two-country model. However, the conventional results do not hold when we replace output-price inflation with consumer price inflation in the specification of the rule. In this case, Taylor rules which satisfy the Taylor principle will be indeterminate, unless there is an unusually large home bias in consumption. Similar indeterminacy problems arise when one country targets CPI inflation and the other output-price inflation. In this case we show that, even if determinacy is achieved, large spillovers may occur between countries.     

MISPERCEPTIONS AND MONETARY POLICY IN A NEW-KEYNESIAN MODEL

This paper studies the consequences for the monetary policy design of information shortages on the part of the private sector. We model these shortages as exogenous shocks to expected income, which through an IS curve, disturb aggregate demand. We constrain policymakers to follow Taylor‐like rules but allow them to optimise coefficients: we find that the presence of misperceptions makes the optimised Taylor rule respond more aggressively to inflation and the output gap. We also find that if the policymaker is uncertain about misperceptions, then it is less costly to assume they are pervasive when they are not than the reverse. In other words, setting policy on the basis that the private sector is subject to misperceptions is a ‘robust’ policy.     

A comparison of optimal policy rules prior to and during inflation targeting: empirical evidence from Bank of Canada

We examine policy rules that are consistent with inflation targeting (IT) framework in a small macroeconomic model of the Canadian economy. We set up an optimal linear regulator problem and derive policy rules to compare the dynamics of pre-IT and IT eras. We find that while the optimal monetary policy rule in the pre-IT period is best described with a loss function that attaches equal weight to price stability, financial stability and output stability; the IT era is dominated by the price stability objective followed by the financial stability and output stability, consecutively. Moreover, we do not find an explicit role for exchange rate stability in the objective function of the Bank of Canada for both monetary policy eras. We, then, compare the properties of the derived optimal rules with those of an ad hoc Taylor rule for the IT period. In response to inflationary shocks, Taylor rule brings down inflation rates more quickly compared to the derived policy rules, but at the cost of a higher sacrifice ratio and more volatile interest rates.     

Nonlinearity in monetary policy: A reconsideration of the opportunistic approach to disinflation

The proponents of the ‘opportunistic’ approach to disinflation suggest that, when inflation is close to the target, the central bank should not counteract inflationary pressures. Orphanides and Wilcox (2002) formalize this idea through a simple policy rule that prescribes a nonlinear adjustment to a history-dependent target for inflation. This embodies a regime change in monetary policy, which reacts to inflation only when this is far from the inflation target. Here we study the opportunistic approach in a New-Keynesian model with sizeable nominal and real rigidites in the form of a positive money demand and adjustment costs for investment. We find that the welfare gains delivered by the opportunistic rule arise from the time-varying inflation target, when welfare is measured by a quadratic approximation of household utility. The nonlinear zone of inaction on inflation improves welfare outcomes only when a central bank loss function with the absolute value of the output gap is used, as proposed by Orphanides and Wilcox (2002).     

Testing for Equilibrium in the Australian Wage Equation*

In this paper a range of unit root and cointegration tests are applied to the time-series variables most commonly found in the various specifications of the Australian wage equation. We find a contradiction between the standard Dickey-Fuller (DF) tests and the results from Johansen estimation regarding the order of integration. The conclusion we reach using tests developed by Perron (1989,1990) is that all the variables are trend stationary processes and that the cointegration framework is inappropriate in this case.     

Balanced growth and structural breaks: evidence for Germany

One of the central hypotheses of the neoclassical growth literature is the balanced-growth hypothesis, which predicts that output, consumption and investment grow at the same rate. Empirically, this implies that the consumption-to-output ratio and the investment-to-output ratio must be stationary and that consumption and investment must be cointegrated with output. This article tests these implications with respect to Germany, using unit root tests and cointegration techniques that allow for an endogenously determined structural break. We find that the long-run growth path of the German economy is consistent with the balanced-growth hypothesis if we allow for a structural break associated with the worldwide productivity slowdown of the early 1970s.     

How credible is inflation targeting in Asia? A quantile unit root perspective

This article examines the dynamic behavior of the inflation rate for eight Asian countries using a quantile unit root test. We advocate a three-way definition of inflation targeting based on perfect, imperfect and zero credibility and advance the analysis by incorporating a fully-fledged adoption of inflation targeting. In doing so, we offer new insights by showing that the credibility of inflation targeting and the alternative monetary policy frameworks in Asia are imperfect, except for Malaysia and South Korea under a fully-fledged adoption of inflation targeting. In contrast to past studies that focus on the mean-reversion in inflation rates, we also consider trend-reversion and find that Asian inflation targeting countries have been building up their monetary policy credibility more than the non- inflation targeting countries in terms of a faster rate of decline in inflation rate changes. Our results generally indicate the presence of mean reversion at the lower quantiles only. Where stationarity is present, we find evidence of a varied speed of adjustment process across the quantiles. Finally, we determine the threshold levels whereby inflation becomes stationary and demonstrate that Asian inflation rates generally display stationary behavior during periods of inflation declining or slowing down.     

Stabilising Taylor rules when the supply shock has a unit root

This paper studies the implication of unit root supply shocks for the Taylor rule. I find that, when supply shocks have a unit root, if a central bank wishes to guarantee the stationarity of inflation, then their interest rate reaction function should not respond to the output gap. Once the stationarity of inflation is guaranteed by the output-gap-response parameter, the “Taylor principle” can be applied for warranting determinacy of the dynamics.     

Taylor Rule implementation of the optimal policy at the zero lower bound: Does the cost channel matter?

This paper analyzes the implementation of the optimal policies at the Zero Lower Bound (ZLB) by the Taylor rule in the presence of a cost channel. We find that, the presence of a cost channel significantly impairs the ability of the Taylor rule to implement optimal policies when economy is subject to the ZLB. The main findings of the paper are, (i) the Taylor rule with optimally chosen inflation target partially implements the optimal discretionary policy but cannot implement the optimal policy under commitment, and (ii) the T-only policy, which follows discretion after an optimally chosen exit date from the ZLB, is the best that can be implemented by the Taylor rule in the presence of cost channel.