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Consider the economy described in Applied Problem 23.

a. Derive expressions for the MP curve and the AD curve.

b. Assume that =2. What are the real interest rate and the equilibrium level of output?

c. Suppose government spending increases to $4 trillion. What happens to equilibrium output?

d. If the Fed wants to keep output constant, then what monetary policy change should it make?

Short Answer

Expert verified

Part (a) MP- r=0.01+; AD - Y=16.4-160

Part (b) r = 3%, Y= 13.2

Part (c) Y=20-160r

Part (d) Adpot a contractionary monetary policy

Step by step solution

01

Step 1.Given Information

C=$3.25trillionI=$1.3trillionG=$3.5trillionT=$3.0trillionNX=-$1.0trillionf=1mpc=0.75d=0.3x=0.1l=1r=1

02

Step 2. Explanation Part a. 

(a) The MP curve shows the different points at which the money market is in equilbrium. The MP curve can be expressed as,

r+=++(*)r=r+(*)r=0.02+(0.01)r=0.01+

The IS curve can be expressed as,

Y=C+I+G+NX:Y=1+0.75Y+130r+3.5110r0.25Y=4.540rY=18160r

Combining the above two equations can give the expression for the aggregate demand curve,

Y=18160(0.01+)Y=181.6160Y=16.4160

03

Step 3.Explanation Part b

From the AD curve,

Y=16.4160Y=16.41600.02Y=16.43.2Y=13.2

From the MP curve

r=0.01+r=0.01+0.02r=0.03

04

Step 4. Explanation Part c.

Using the equation for IS curve,

Y=C+I+G+NX:Y=1+0.75Y+130r+4110r0.25Y=540rY=20160r

05

Step 5. Explanation part d.

If the central bank wants to keep the output level constant, it should adopt a contractionary monetary policy. This would reduce money supply and this inflatioary pressure.

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Most popular questions from this chapter

鈥淚f f increases, then the Fed can keep output constant by reducing the real interest rate by the same amount as the increase in financial frictions.鈥 Is this statement true, false, or uncertain? Explain your answer.

Consider an economy described by the following:

C=\(4trillionI=\)1.5trillionG=\(3.0trillionT=\)3.0trillionNX=$1.0trillionf=0mpc=0.8d=0.35x=0.15=0.5r=2

(a) Derive expressions for the MP curve and the AD curve.

(b) Calculate the real interest rate and aggregate output when=2and=4

(c) Draw a graph of the MP curve and the AD curve, labeling the points given in part (b).

What would be the effect of an increase in U.S. net exports on the aggregate demand curve? Would an increase in net exports affect the monetary policy curve? Explain.

How does an autonomous tightening or easing of monetary policy by the Fed affect the aggregate demand curve?

Consider an economy described by the following:

C = \(3.25 trillion

I = \)1.3 trillion

G = \(3.5 trillion

T = \)3.0 trillion

NX = -$1.0 trillion

f = 1

mpc = 0.75

d = 0.3

x = 0.1

l = 1

r = 1

a. Derive expressions for the MP curve and the AD

curve.

b. Assume that p = 1. Calculate the real interest

rate, the equilibrium level of output, consumption,

planned investment, and net exports.

c. Suppose the Fed increases r to r = 2. Calculate the

real interest rate, the equilibrium level of output,

consumption, planned investment, and net exports

at this new level of r.

d. Considering that output, consumption, planned

investment, and net exports all decreased in part (c),

why might the Fed choose to increase r?

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