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Taylor rule

Rule from monetary policy

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Through Monetary policy, Central bank and Interest rate

In the United States, the Federal Open Market Committee controls monetary policy. The committee attempts to achieve an average inflation rate of 2% (with an equal likelihood of higher or lower inflation). The main advantage of a general targeting rule is that a central bank gains the discretion to apply multiple means to achieve the set target.

The monetary policy of the Federal Reserve changed throughout the 20th century. Taylor and others evaluate the period between the 1960s and the 1970s as a period of poor monetary policy; the later years are typically characterized as stagflation. The inflation rate was high and increasing, while interest rates were kept low. Since the mid-1970s monetary targets have been used in many countries as a means to target inflation. However, in the 2000s the actual interest rate in advanced economies, notably in the US, was kept below the value suggested by the Taylor rule.

The Taylor rule represents a rules-based approach to monetary policy, standing in contrast to discretionary policy where central bankers make decisions based on their judgment and interpretation of economic conditions. While the rule provides a systematic framework that can enhance policy predictability and transparency, critics argue that its simplified formula—focusing primarily on inflation and output—may not adequately capture important factors such as financial stability, exchange rates, or structural changes in the economy. This debate between rules and discretion remains central to discussions of monetary policy implementation.

Equation

According to Taylor's original version of the rule, the real policy interest rate should respond to divergences of actual inflation rates from target inflation rates and of actual Gross Domestic Product (GDP) from potential GDP:

it=πt+rt∗+aπ(πt−πt∗)+ay⋅100(Yt−Y¯t)/Y¯t.

In this equation, it is the target short-term nominal policy interest rate (e.g. the federal funds rate in the US, the Bank of England base rate in the UK), πt is the rate of inflation as measured by the GDP deflator, πt∗ is the desired rate of inflation, rt∗ is the assumed natural/equilibrium interest rate, Yt is the actual GDP, and Y¯t is the potential output, as determined by a linear trend. 100(Yt−Y¯t)/Y¯t is the output gap, in percentage points.

Because of it−πt=real policy interest rate,

Desired real policy interest rate=equilibrium real interest rate+aπ×difference from the inflation target+ay×output gap

In this equation, both aπ and ay should be positive (as a rough rule of thumb, Taylor's 1993 paper proposed setting aπ=ay=0.5). That is, the rule produces a relatively high real interest rate (a "tight" monetary policy) when inflation is above its target or when output is above its full-employment level, in order to reduce inflationary pressure. It recommends a relatively low real interest rate ("easy" monetary policy) in the opposite situation, to stimulate output. In this way, the Taylor rule is inherently counter-cyclical, as it prescribes policy actions that lean against the direction of economic fluctuations. Sometimes monetary policy goals may conflict, as in the case of stagflation, when inflation is above its target with a substantial output gap. In such a situation, a Taylor rule specifies the relative weights given to reducing inflation versus increasing output.

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