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C = 1275 + 0.5(Y-T) – 200r

I = 900 – 200r

Real Money demand, L = 0.5Y – 200i

Expected inflation, ? = 0

Full employment output, = 4600

a.) Suppose that T = G = 450 and M = 9000

Find an equation describing the IS curve

Find an equation describing the LM curve

Find an equation for the aggregate demand curve (Hint: Use IS and LM equations to find a relationship between Y and P)

What are the general equilibrium values of output, consumption, investment, real interest rate, and price level?

b) Suppose M = 4500, T and G remain the same.

What is the equation for the aggregate demand curve?

What are the general equilibrium values of output, consumption, investment, real interest rate, and price level?

c.) Suppose T = G = 330 and M = 9000

What is the equation for the aggregate demand curve?

What are the general equilibrium values of output, consumption, investment, real interest rate, and price level?

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Namita kumari
Namita kumariLv6
28 Sep 2019

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Related questions

A Keynesian economy is described by the following equations :

C^d = 250 + 0.5(Y - T) - 250r

I^d = 250 - 250r

G = 300

T = 300

L = 0.5Y - 500r + π^e

M = 3000

Y = 1250

π^e = 0

a) Calculate the values of the real interest rate, the price level, consumption, and investment for the economy in general equilibrium.

(b) Now suppose government purchases increase to 350 with no change in taxes. What will be the real interest rate, the price level, output, consumption, and investment in the short run?

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”)

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