4. Suppose demand for real money balance is M = 500 + 0.2Y – 1000i . P If P = 10, Y= 1000, and I = 0.10, and the money market is in equilibrium, a. What is the equilibrium stock of nominal money? b. What is the velocity of money? Suppose there is an autonomous increase in money demand by 100, with a constant nominal money supply, P = 10, and Y = 1000, what is the equilibrium i? d. If the central bank wishes to maintain i = 0.10, what must the nominal money supply be? Draw and label completely a money market equilibrium diagram. Label equilibrium M/P and i with their actual values. Draw and carefully label the changes that result from (c) and (d) above. c. е.
4. Suppose demand for real money balance is M = 500 + 0.2Y – 1000i . P If P = 10, Y= 1000, and I = 0.10, and the money market is in equilibrium, a. What is the equilibrium stock of nominal money? b. What is the velocity of money? Suppose there is an autonomous increase in money demand by 100, with a constant nominal money supply, P = 10, and Y = 1000, what is the equilibrium i? d. If the central bank wishes to maintain i = 0.10, what must the nominal money supply be? Draw and label completely a money market equilibrium diagram. Label equilibrium M/P and i with their actual values. Draw and carefully label the changes that result from (c) and (d) above. c. е.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Please answer part d and e. The first three has already be answered. https://www.bartleby.com/questions-and-answers/4.-suppose-demand-for-real-money-balance-is-500-0.2y-1000i.-p-if-p-10-y-1000-and-i-0.10-and-the-mone/1575541e-16b8-4108-919e-e4c18b77028d
![**4. Demand for Real Money Balances**
Consider the demand for real money balances given by the equation:
\[
\frac{M^d}{P} = 500 + 0.2Y - 1000i.
\]
Where:
- \( M^d \) is the nominal money demand.
- \( P \) is the price level.
- \( Y \) is the income.
- \( i \) is the interest rate.
Given:
- \( P = 10 \)
- \( Y = 1000 \)
- \( i = 0.10 \)
The money market is in equilibrium under these conditions.
**Tasks:**
a. Calculate the equilibrium stock of nominal money.
b. Determine the velocity of money.
c. Analyze the effects of an autonomous increase in money demand by 100 with a constant nominal money supply, \( P = 10 \), and \( Y = 1000 \). Determine the new equilibrium interest rate \( i \).
d. If the central bank wants to maintain \( i = 0.10 \), calculate the required nominal money supply.
e. Draw a complete money market equilibrium diagram. Clearly label the equilibrium \(\frac{M}{P}\) and \( i \) with their actual values. Include and label the changes resulting from parts (c) and (d).
**Graph/Diagram Explanation:**
- **Axes:** Typically, a money market diagram would have the interest rate \( i \) on the vertical axis and real money balances \(\frac{M}{P}\) on the horizontal axis.
- **Equilibrium Point:** Label the initial equilibrium point where the demand and supply of money are equal at the given interest rate and real money balance.
- **Shifts/Changes:** Illustrate any shifts in the demand curve due to changes analyzed in parts (c) and (d). Indicate the new equilibrium by showing the changes in the interest rate or real money balances.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F68e3fd5c-243b-40da-9712-e2307c08b222%2F89cb1873-7320-4714-845e-3cc2aa4317f1%2Foanlnu_processed.png&w=3840&q=75)
Transcribed Image Text:**4. Demand for Real Money Balances**
Consider the demand for real money balances given by the equation:
\[
\frac{M^d}{P} = 500 + 0.2Y - 1000i.
\]
Where:
- \( M^d \) is the nominal money demand.
- \( P \) is the price level.
- \( Y \) is the income.
- \( i \) is the interest rate.
Given:
- \( P = 10 \)
- \( Y = 1000 \)
- \( i = 0.10 \)
The money market is in equilibrium under these conditions.
**Tasks:**
a. Calculate the equilibrium stock of nominal money.
b. Determine the velocity of money.
c. Analyze the effects of an autonomous increase in money demand by 100 with a constant nominal money supply, \( P = 10 \), and \( Y = 1000 \). Determine the new equilibrium interest rate \( i \).
d. If the central bank wants to maintain \( i = 0.10 \), calculate the required nominal money supply.
e. Draw a complete money market equilibrium diagram. Clearly label the equilibrium \(\frac{M}{P}\) and \( i \) with their actual values. Include and label the changes resulting from parts (c) and (d).
**Graph/Diagram Explanation:**
- **Axes:** Typically, a money market diagram would have the interest rate \( i \) on the vertical axis and real money balances \(\frac{M}{P}\) on the horizontal axis.
- **Equilibrium Point:** Label the initial equilibrium point where the demand and supply of money are equal at the given interest rate and real money balance.
- **Shifts/Changes:** Illustrate any shifts in the demand curve due to changes analyzed in parts (c) and (d). Indicate the new equilibrium by showing the changes in the interest rate or real money balances.
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