Question

Assume the following equations for the goods and money market of an economy:

C = 250 + .8(Y-T)

I = 100 - 50r

T = G = 100.

Ms = 200

Md = 0.2Y – 100r

a) Derive the LM curve from the Md and Ms equations given above. Is this upward or downward sloping? The LM curve is written as Y = __ +/-__r.

b) Using the equation of the original IS curve and the LM curve in part (a) find the equilibrium levels of Y, r, M, C, S, I, G and T.

c) Using the LM curve in part (a) and the IS curve when T falls to 50 and everything else remains the same, find the equilibrium levels of Y, r, M, C, S, I, G and T

d) Explain the adjustment process from the old to the new equilibrium when (1) at the same r, you have a different Y, and (2) at the same Y, you have a different r. You might find it helpful to draw IS and LM curves for both equilibria first. Use numbers as much as possible.

Answer #1

Assume the following model of the economy, with the price level
fixed at 1.0:
C = 0.6(Y – T)
T = 40
I = 120 – 30r
G = 40
Y = C + I + G
Ms/P = Md/P = 2Y – 50r
Ms = 280
Write a numerical formula for the IS curve, showing Y as a
function of r alone. (Hint: Substitute out C, I, G, and T.)
Write a numerical formula for the LM curve, showing...

1. You are given the following equations for the real and
monetary sectors of a specific economy;
Real Sector Equations: C = 10,000 + 0.8 (Y – T); I = 20,000 –
6000 r; G = 29,000; T = 5,000 + 0.1 Y X = 10,000; M = 5,000 + 0.1
Y.
Monetary Sector Equations: Ms = 75,000; Md = 0.5 Y – 7,000 r; Yp
= 200,000.
Here, C = Consumption; Y = GDP = Income; T = Taxes;...

Suppose that the following equations
describe an economy.
Y = Cd +
Id + G
Cd = 180 +
0.8(Y – T)
Id = 140 –
8r + 0.1Y
T = 400
G = 400
(Md/P) = 6Y – 120i
MS = 6000 i = πe +
r
Assume expected inflation
πe = 0 and price level P = 1.
Find the equation for the IS curve.
Find the equation for the LM curve.
Find the equilibrium values for output...

Assume the following model of the economy, with the price level
fixed at 1.0:
C = 0.8(Y – T)
T = 1,000
I = 800 – 20r
G = 1,000
Y = C + I + G
Ms/P =
Md/P = 0.4Y –
40r
Ms = 1,200
a. Write a numerical formula for the IS curve, showing
Y as a function of r alone.
b. Write a numerical formula for the LM curve, showing
Y as a function of r...

Assume the following model of the economy, with the price level
fixed at 1.0:
C = 0.8(Y – T)
T = 1,000
I = 800 – 20r
G = 1,000
Y = C + I + G
Ms/P =
Md/P = 0.4Y –
40r
Ms = 1,200
A. Write a numerical formula for the IS curve, showing
Y as a function of r alone. (Hint:
Substitute out C, I, G, and
T.)
B. Write a numerical formula for the LM...

C= 0.8(1-t)Y,r=0.25,I=900-50r,G=900,L=0.25Y-62.5r and
m/p=500 (money market equilibrium)r=interest rate
a) what is the equation that describes the IS curve
b) define IS curve
c) define LM curve
d) calculate equilibrium levels of income Y and interest rate r

Consider the following short-run, open economy model of the
economy.
Goods Market
C = 100 + 0.9(Y − T) I = 50 − 7.5r; NX = −50 G = 200; T =
100
Money Market
M = 4,000 P = 10 L(r, Y) = Y − 350r
a. (4 pts) Derive the IS and LM equations and put them on a
graph with the real interest rate (r) on the vertical axis and real
GDP (Y) on the horizontal axis....

Suppose the economy is described by the following equations:
C = 350 + .7(Y – T)
I = 100 + .1Y - 1000i
G = 500; T = 500
Money Supply (M/P)s = 3200
Money Demand (M/P)d = 2Y – 4000i
a.Write an equation for the IS relation.
b.Write an equation for the LM relation.
c.Find the equilibrium levels of Y and i.
d.Write the Aggregate Demand equation for this economy with Y
as a function of P.
e. Suppose...

2. Assume that the equilibrium in the
money market may be described as M/P =
0.5Y – 100r, and M/P equals
800. this is one question unfortunately.
Write the LM curve two ways, expressing Y as
a function of r and r as a function of
Y.
What is the slope of the LM curve?
If real money balance M/P increases to 1200,
what is a new LM curve?
Graphically illustrate LM curve from part
a and new LM curve...

IS-LM Model (Closed Economy)
The following equations describe a small open economy.
[Figures are in millions of dollars; interest rate (i) is in
percent]. Assume that the price level is fixed.
Goods Market
Money
Market
C = 250 +
0.8YD
L = 0.25Y – 62.5i
YD = Y + TR –
T
Ms/P = 250
T = 100 + 0.25Y
I = 300 – 50i
G = 350; TR = 150
Goods market equilibrium condition: Y = C + I...

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