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LM CURVE

The demand for money is L(R,Y) = 10Y - .5R

M2 Billions CPI Interest Rate

8,400 210 4

1a. Derive the LM Curve.

1b. Find the equilibrium level of income (a number)

c. If the interest rate increases by 1%, how much does the demand for real money balances change?

3. If government spending is decreased, explain and show in the graph the new equilibrium

4. If the money supply is decreased, explain, and show in the graph the new equilibrium.

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Chika Ilonah
Chika IlonahLv10
28 Sep 2019

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Related questions

Consider an economy described by the following equations: C = 200 + 0.75(Y-T) where I = 200 - 25r, G = 100, T = 100, L(r, Y) = Y - 100r M = 1000 P = 2

(a) Derive the equation for the IS curve

(b) Derive the equation for the LM curve.

(c) What are the equilibrium interest rate r and the equilibrium level of output Y?

(d) What is the government purchases multiplier?

(e) What is the tax multiplier?

(f) Suppose that government purchases are raised from 100 to 150. How does the IS curve shift? What are the new equilibrium interest rate and level of output?

(g) Suppose instead that the money supply is raised from 1,000 to 1,200. How does the LM curve shift? What are the new equilibrium interest rate and level of output?

(h) With the initial values for monetary and fiscal policy, suppose that the price level rises from 2 to 4. What happens? What are the new equilibrium interest rate and level of output?

2. Assume that households’ consumption function is given by C(Y − T) = 50 + 0.75(Y − T), that firms’ investment function is I(r) = 150 − 10r, government spending is G = 150, and the tax bill T = 200.

(a) What is the Marginal Propensity to Consume (“MPC”)?

(b) What is the equilibrium level of real GDP, in the goods market, if the real interest rate is 5%? (Plug in r = 5 for 5%, rather than 0.05 This is an assumption about the way we scale the coefficients in the investment function.)

(c) Solve for the equation of the IS Curve (“Investment-Savings”). How will this equation change if government spending increases to 200? The money supply is MS = 3000 and the price level is P = 4. Money/liquidity demand is given by Md/P = L(r, Y ) = Y − 50r.

(d) Solve for the equation of the LM Curve (“Liquidity-Money”).

(e) Based on your answers to the previous two questions, what are the equilibrium levels of the real interest rate and real GDP? (G is back to 150.)

(f) Assume now that P is unknown. Solve for the equation of the Aggregate Demand curve (“AD”)

Evaluate whether each of the following statements is true or false. Explain your answer and provide a supporting rationale.

a. If the real money demand is greater than the real money supply, interest rates must rise to reach equilibrium in the money market as institutions sell bonds to obtain more money.

b. The federal government's control of the money supply, which influences interest rates, is the primary tool that policymakers use to impact the macro economy.

c. A decrease in the reserve requirement decreases the money supply because banks have fewer reserves.

d. The real money demand curve shows how households and businesses change their spending in response to changes in the interest rate.

e. Both an increase in the nominal money supply by the Federal Reserve and an increase in the price level will cause the real money supply curve to shift to the right.

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