Can someone pls explain what what we are trying to do? Taylor Rule

Given the effect of short-term interest rates on consumer credit, Li’s team decides to determine what the short-term interest rate is expected to be in the future. The central bank’s last official statement identified 2.5% as the appropriate rate, assuming no other factors. Li’s team then estimates potential factors that may make the central bank behave differently from the 2.5% rate in the statement, shown in Exhibit 1.

GDP growth forecast 2.00%
GDP growth trend 1.00%
Inflation forecast 1.50%
Inflation target 3.50%
Earnings growth forecast 4.00%
Earnings growth trend 2.00%

Based on how the Taylor rule is applied by Li’s team, the central bank’s estimated optimal short-term rate is closest to:

  1. 2.8%.
  2. 1.5%.
  3. 2.0%.

The answer was C. I thought it was B. But its not clear to me what the optimal short term rate is

The optimal short-term rate is the real rate → ( nominal rate - expected inflation )

The Taylor states:

( nominal rate - expected inflation ) = neutral rate + .5( GDP forecast - GDP target) + .5( forecasted inflation -expected inflation ) =
( nominal rate - expected inflation ) = 2.5%+.5(2%-1%)+.5(1.5%-3.5%)

( nominal rate - expected inflation ) = 2%

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