2. Suppose an economy is given by the following equations: C = 150 +0.25Yd I= 150 +0.25Y - 1000i G = 250 T = 200 (M/P) = 1400 Y L(i)=2Y - 8000i Yn (Natural level of output) = 1200 Using the above information, answer the following. (a) (5) Derive the IS and LM equations. (b) (5) Find equilibrium Y and equilibrium i. Is the economy in a recession or a boom?
2. Suppose an economy is given by the following equations: C = 150 +0.25Yd I= 150 +0.25Y - 1000i G = 250 T = 200 (M/P) = 1400 Y L(i)=2Y - 8000i Yn (Natural level of output) = 1200 Using the above information, answer the following. (a) (5) Derive the IS and LM equations. (b) (5) Find equilibrium Y and equilibrium i. Is the economy in a recession or a boom?
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
Related questions
Question
![**Economic Analysis Example**
**Problem Statement:**
Suppose an economy is given by the following equations:
\[ C = 150 + 0.25Y_d \]
\[ I = 150 + 0.25Y - 1000i \]
\[ G = 250 \]
\[ T = 200 \]
\[ \frac{M}{P} = 1400 \]
\[ Y = L(i) = 2Y - 8000i \]
\[ Y_n \text{ (Natural level of output)} = 1200\]
Using the above information, answer the following:
**(a) Derive the IS and LM equations.**
**(b) Find equilibrium Y and equilibrium i. Is the economy in a recession or a boom?**
**Analysis:**
For educational purposes, students should use the given formulas to derive the IS-LM model, analyzing the equilibrium points by setting consumption (C), investment (I), government spending (G), taxes (T), money supply over price level (\( \frac{M}{P} \)), and the liquidity preference money supply (L(i)) equations. Additionally, comparing the natural output level (\( Y_n \)) provides insight into the current economic state, determining whether the economy is in recession or boom.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F676198b1-cb35-454f-b21c-01c3265d0f1a%2F373f2edc-4a22-4d20-8bd2-5e23cfb45f15%2Fwo4bfsr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Economic Analysis Example**
**Problem Statement:**
Suppose an economy is given by the following equations:
\[ C = 150 + 0.25Y_d \]
\[ I = 150 + 0.25Y - 1000i \]
\[ G = 250 \]
\[ T = 200 \]
\[ \frac{M}{P} = 1400 \]
\[ Y = L(i) = 2Y - 8000i \]
\[ Y_n \text{ (Natural level of output)} = 1200\]
Using the above information, answer the following:
**(a) Derive the IS and LM equations.**
**(b) Find equilibrium Y and equilibrium i. Is the economy in a recession or a boom?**
**Analysis:**
For educational purposes, students should use the given formulas to derive the IS-LM model, analyzing the equilibrium points by setting consumption (C), investment (I), government spending (G), taxes (T), money supply over price level (\( \frac{M}{P} \)), and the liquidity preference money supply (L(i)) equations. Additionally, comparing the natural output level (\( Y_n \)) provides insight into the current economic state, determining whether the economy is in recession or boom.
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