Assume the monetary policy curve is given by r = 1.5 +0.75. a) Calculate the real interest rate when the inflation rate is at 2%, 3%, and 4%. b) Plot the monetary policy curve and identify the points from part (a).
Assume the monetary policy curve is given by r = 1.5 +0.75. a) Calculate the real interest rate when the inflation rate is at 2%, 3%, and 4%. b) Plot the monetary policy curve and identify the points from part (a).
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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![**Monetary Policy Curve Analysis:**
Consider the monetary policy curve expressed as:
\[ r = 1.5 + 0.75\pi \]
**Tasks:**
a) Calculate the real interest rate for the following inflation rates:
- 2%
- 3%
- 4%
b) Construct a graph of the monetary policy curve and mark the calculated points from part (a).
**Explanation:**
_For Part (a):_
- Plug in the inflation rates into the equation to find the real interest rates.
_For Part (b):_
- The graph of the monetary policy curve should display a linear relationship between the real interest rate (r) and the inflation rate (\(\pi\)).
- Identify and label the points on the graph corresponding to the inflation rates of 2%, 3%, and 4%.
The slope of the curve is determined by the coefficient of \(\pi\), which is 0.75, and the y-intercept is 1.5. The resulting graph will show how the real interest rates adjust as inflation changes according to this monetary policy rule.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9ecdd586-d90f-4b01-9735-d33df7ee50d8%2Fd6fca2d0-0f2e-4b86-b7ae-457687df415a%2Fk0dl94_processed.png&w=3840&q=75)
Transcribed Image Text:**Monetary Policy Curve Analysis:**
Consider the monetary policy curve expressed as:
\[ r = 1.5 + 0.75\pi \]
**Tasks:**
a) Calculate the real interest rate for the following inflation rates:
- 2%
- 3%
- 4%
b) Construct a graph of the monetary policy curve and mark the calculated points from part (a).
**Explanation:**
_For Part (a):_
- Plug in the inflation rates into the equation to find the real interest rates.
_For Part (b):_
- The graph of the monetary policy curve should display a linear relationship between the real interest rate (r) and the inflation rate (\(\pi\)).
- Identify and label the points on the graph corresponding to the inflation rates of 2%, 3%, and 4%.
The slope of the curve is determined by the coefficient of \(\pi\), which is 0.75, and the y-intercept is 1.5. The resulting graph will show how the real interest rates adjust as inflation changes according to this monetary policy rule.
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