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Taylor rule
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Taylor rule
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The celebrated Taylor rule methodology has established that the decisions made by the Federal Open Market Committee concerning possible changes in short term interest rates reflected in Fed funds are influenced by deviations from a desired level of inflation and from potential output. The Taylor rule determines the future interest rate and is one among several methodologies than can be used to predict future short term interest rates. In this study we use four competing methodologies that model the behavior of short term interest rates. These methodologies are: time series, Taylor, econometric and neural network. Using monthly data from 1958 to the end of 2005 we distinguish between sample and out-of-sample sets to train, evaluate, and compare the models' effectiveness.
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We analyze the optimal Taylor rule in a standard New Keynesian model. If the central bank can observe the output gap and the inflation rate without error, then it is typically optimal to respond infinitely strongly to observed deviations from the central bank's targets. If it observes inflation and the output gap with error, the central bank will temper its responses to observed deviations so as not to impart unnecessary volatility to the economy. If the Taylor rule is expressed in terms of estimated output and inflation then it is optimal to respond infinitely strongly to estimated deviations from the targets. Because filtered estimates are based on current and past observations, such Taylor rules appear to have an interest smoothing component. Under such a Taylor rule, if the central bank is behaving optimally, the estimates of inflation and the output gap should be perfectly negatively correlated. In the data, inflation and the output gap are weakly correlated, suggesting that the central bank is systematically underreacting to its estimates of inflation and the output gap.Institutional subscribers to the NBER working paper series, and residents of developing countries may download this paper without additional charge at www.nber.org.
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Abstract This paper extends a standard New Keynesian model by introducing anticipated shocks to inflation, output, and interest rates, and by incorporating forward-looking, forecast-targeting Taylor rules. The latter aspect is parsimoniously modeled through the presence of an expected future interest rate term in the Taylor rule that recent literature has found to be economically and statistically important in a variety of settings without anticipated shocks. Using Bayesian econometric methods, we find that the presence of anticipated shocks improves the model’s fit to the US data but substantially decreases the weight on future macroeconomic variables in the forward-looking Taylor rule. Our results suggest that, although communicating its intentions regarding future monetary policy conduct, as modeled by anticipated monetary shocks, plays an important role for the Fed, responding to its expectations of future macroeconomic conditions does not. Furthermore, we conduct extensive robustness checks with respect to modeling the forward-looking specification of the Taylor rule that confirm our baseline results.
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We analyze the optimal Taylor rule in a standard New Keynesian model. If the central bank can observe the output gap and the inflation rate without error, then it is typically optimal to respond infinitely strongly to observed deviations from the central bank's targets. If it observes inflation and the output gap with error, the central bank will temper its responses to observed deviations so as not to impart unnecessary volatility to the economy. If the Taylor rule is expressed in terms of estimated output and inflation then it is optimal to respond infinitely strongly to estimated deviations from the targets. Because filtered estimates are based on current and past observations, such Taylor rules appear to have an interest smoothing component. Under such a Taylor rule, if the central bank is behaving optimally, the estimates of inflation and the output gap should be perfectly negatively correlated. In the data, inflation and the output gap are weakly correlated, suggesting that the central bank is systematically underreacting to its estimates of inflation and the output gap.
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This paper uses the Taylor rule to examine the appropriateness of ECB interest rate policy for the initial EMU members and the ten new EMU member states some of whom are expected to join the Eurozone in 2006-7. Specifically it addresses three questions. (1) Are there differences between the interest rate aggregated from the Taylor interest rates of individual member states in the euro area and the interest rate set by the ECB? (2) For which countries do the desired interest rates according to the original Taylor rule and the interest rate of the euro area differ most and in which respect? (3) The last question is whether the interest rate gaps change over time. We find that the ECB’s policy does not fit individual EMU members equally well and this result is unlikely to be changed with the addition of the ten new members, which will have only a marginal effect on the ECB interest rate stance.
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This paper assess the role played by the exchange rate and FX intervention in setting monetary policy interest rates in Peru. We estimate a Taylor rule that includes inflation, output gap and the exchange rate using a New Keynesian DSGE model that follows closely Schmitt-Grohé and Uribe (2017). The model is extended to include an explicit sterilized FX intervention rule as in Faltermeier et al. (2017). The main empirical results show, for the pre Inflation Targeting (IT) and IT periods, that the model that clearly outperforms in terms of marginal log density, features a Taylor rule that does not respond to changes in the nominal exchange rate and an active use of FX intervention by the Central Bank. We also find that the coefficient associated with the response of the Taylor rule to inflation is close to 2 and the one associated with the output gap is greater than 1; and that FX intervention has become more responsive to exchange rate fluctuations during the IT period. Finally, the estimated IRFs shows that FX intervention has contributed to reduce the volatility of GDP in response to productivity and terms of trade shocks in Peru.
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This article uses the Taylor rule to examine the appropriateness of European Central Bank (ECB) interest rate policy for the initial European Monetary Union (EMU) members and the 10 new EMU member states some of whom are expected to join the Eurozone in 2006–2007. Specifically it addresses three questions. (1) Are there differences between the interest rate aggregated from the Taylor interest rates of individual member states in the euro area and the interest rate set by the ECB? (2) For which countries do the desired interest rates according to the original Taylor rule and the interest rate of the euro area differ most and in which respect? (3) The last question is whether the interest rate gaps change over time. We find that the ECB's policy does not fit individual EMU members equally well and this result is unlikely to be changed with the addition of the 10 new members, which will have only a marginal effect on the ECB interest rate stance.
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We analytically examine output persistence from monetary shocks in a DSGE model with staggered prices or wages under a Taylor Rule for monetary policy. The best known such model assumes Calvo-style staggering of prices and flexible wages and is known to yield no persistence under a Taylor Rule. Switching to Taylor-style staggering introduces lagged output into the model’s ‘New Keynesian Phillips Curve’ equation. Despite this, we show it generates no persistence, whether staggering is in wages or prices. Surprisingly, however, Calvo-style staggering of wages does generate persistence, if there are decreasing returns to labour.
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