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John Taylor, a Stanford economist, devised the Taylor's rule formula. It was created to provide "recommendations" on how a central bank, such as the Federal Reserve, should set short-term interest rates when economic conditions change in order to achieve both a short-run goal of economic stabilisation and a long-run goal of inflation.

The data reveals that Taylor's approach fails to correctly anticipate current fund rates; current fund rates differ from those calculated by Taylor's rule. Personal Consumption Expenditures, Real Gross Domestic Product, Real Potential Gross Domestic Product, and Effective Federal Funds Rate in terms of percent change from a year earlier from 2001:Q1 to 2017:Q4.

The formula for Taylor's rule is as follows:

Targeted Federal Funds Rate

$\left(Inflationrate+Equilibriumrealfedfundrate+\frac{1}{2}Inflationgap+\frac{1}{2}Outputgap\right)$

Since 2000, there have been instances when the Taylor rule and the stock market have been fairly tightly connected, particularly from 2000 to 2002 (1). However, there are major gaps at other times (1), or periods where they do not appear to be moving in lockstep (1), such as the period from 2002 to 2006 (1). 4 From 2008 onwards, there are significant differences between the two (1), particularly from late 2008 to early 2010, when the Taylor rule predicts that the federal funds rate should be negative by nearly 4% (1), which is not possible (1). 6 It also forecasted big increases in the federal funds rate in 2011:Q2 (1) and 2014:Q1 (1), both of which did not occur (1). However, the rise in the Taylor rule target in 2016:Q1 indicated a 50 basis point increase in the fed funds rate (1), and the FOMC followed through with two fed funds rate hikes in the first half of 2017 (1) in line with this delta (1).

The central bank employs monetary policy to control the flow of money into and out of the economy in order to restore stability; this is accomplished through interest rate and money supply management.

The current fund rate (% change from a year ago) was negative in 2008-09 (the recession period), but the Taylor's rule value was positive. This implies that there are other factors (Recession) that affect the fund rate, and the reason for the incorrect calculation is because Taylor's rule does not account for all macroeconomic variables that can affect the fund rate (Recession).

Taylor's rule's incorrect assessment of the fund rate shows that in this circumstance, nonconventional monetary policy would be the best option.

The baseline Taylor rule and the hierarchical Taylor rule forecast almost identical federal funds rate courses for the most part. The only noteworthy shift is from 2008 onwards, when it anticipates a much higher federal funds rate due to the surge in inflation during that time period. The graph below illustrates this: