If velocity (V) and aggregate output (Y) remain constant at $4 and $1,250 billion, respectively, what happens to the price level (P) if the money supply (M) declines from $500 billion to $400 billion? Originally, the price level is (Round your response to two decimal places.)
If velocity (V) and aggregate output (Y) remain constant at $4 and $1,250 billion, respectively, what happens to the price level (P) if the money supply (M) declines from $500 billion to $400 billion? Originally, the price level is (Round your response to two decimal places.)
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Question
![**Economic Concepts: Price Level and Money Supply**
In this exercise, we explore the relationship between price level, money supply, velocity, and aggregate output using the equation of exchange:
\[ MV = PY \]
where:
- \( M \) is the money supply,
- \( V \) is the velocity of money,
- \( P \) is the price level,
- \( Y \) is the aggregate output.
**Scenario:**
The velocity (\( V \)) remains constant at $4, and the aggregate output (\( Y \)) is $1,250 billion. We aim to understand how changes in the money supply (\( M \)) affect the price level (\( P \)).
Originally, the money supply is $500 billion, and we need to find the initial price level (\( P \)). Then, we analyze what happens when the money supply (\( M \)) decreases to $400 billion.
**Questions:**
- What is the original price level (\( P \)) when \( M = $500 billion \)?
- What happens to \( P \) when \( M \) declines to $400 billion?
**Instructions:**
Round your responses to two decimal places. Use the equation of exchange to solve for the price level initially and after the decline in money supply.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3734eca5-1c61-4ba0-9228-f611059dd607%2F63f92dc9-1a7a-44a1-8f54-0e2124927629%2Faho8yg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Economic Concepts: Price Level and Money Supply**
In this exercise, we explore the relationship between price level, money supply, velocity, and aggregate output using the equation of exchange:
\[ MV = PY \]
where:
- \( M \) is the money supply,
- \( V \) is the velocity of money,
- \( P \) is the price level,
- \( Y \) is the aggregate output.
**Scenario:**
The velocity (\( V \)) remains constant at $4, and the aggregate output (\( Y \)) is $1,250 billion. We aim to understand how changes in the money supply (\( M \)) affect the price level (\( P \)).
Originally, the money supply is $500 billion, and we need to find the initial price level (\( P \)). Then, we analyze what happens when the money supply (\( M \)) decreases to $400 billion.
**Questions:**
- What is the original price level (\( P \)) when \( M = $500 billion \)?
- What happens to \( P \) when \( M \) declines to $400 billion?
**Instructions:**
Round your responses to two decimal places. Use the equation of exchange to solve for the price level initially and after the decline in money supply.
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