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suppose the the equilibrium real federal funds rate is 4 percent and the target

ID: 1201565 • Letter: S

Question

suppose the the equilibrium real federal funds rate is 4 percent and the target rate of inflation of 1 percent. Use the following information and the Taylor rule to calculate the federal funds rate target. Current inflation rate = 4 percent Potential real GDP = $14.72 trillion Real GDP = $14.81 trillion
The federal funds target rate is ___%
The answer is 9.81% But I was wonder could you show me how to get that answer.
Please show your work clearly and neatly please. suppose the the equilibrium real federal funds rate is 4 percent and the target rate of inflation of 1 percent. Use the following information and the Taylor rule to calculate the federal funds rate target. Current inflation rate = 4 percent Potential real GDP = $14.72 trillion Real GDP = $14.81 trillion
The federal funds target rate is ___%
The answer is 9.81% But I was wonder could you show me how to get that answer.
Please show your work clearly and neatly please. suppose the the equilibrium real federal funds rate is 4 percent and the target rate of inflation of 1 percent. Use the following information and the Taylor rule to calculate the federal funds rate target. Current inflation rate = 4 percent Potential real GDP = $14.72 trillion Real GDP = $14.81 trillion
The federal funds target rate is ___%
The answer is 9.81% But I was wonder could you show me how to get that answer.
Please show your work clearly and neatly please.

Explanation / Answer

Output gap = (Real GDP - Potential GDP) / Potential GDP = (14.81 - 14.72) / 14.72 = 0.09/14.72 = 0.0061 = 0.61%

Target Federal Funds Rate (FFR) = Current Inflation rate + Equilibrium real FFR + 0.5 x (Current inflation rate - Target inflation rate) + 0.5 x Output gap

= 4% + 4% + 0.5 x (4% - 1%) + (0.5 x 0.61%)

= 8% + 0.5 x 3% + 0.31%

= 8.31% + 1.5%

= 9.81%