a) (5 points) What is the equilibrium real interest rate that
clears the international goods market? Show all work.
b) (5 points) Compare the level of absorption in each country to
the income generated in each country. Is the US spending beyond its
means? Is China the lender? Draw two diagrams side by side, with
the USA on the left and China country on right. Locate this initial
equilibrium as points A on both diagrams (there are four point A’s,
two on each diagram). Be sure to label diagrams completely labeling
the trade deficit/surplus on each graph, etc. (10 points for
correct and completely labeled diagram)
c) (5 points) Now let the US conduct expansionary fiscal policy so
that G rises by 300 to 575. We assume that the government spending
multiplier (ΔY/ΔG) is 1.5. Re-calculate the new equilibrium real
interest rate that clears the international goods market and the
associated new levels of desired savings and investment for each
country and label these new equilibrium points on your existing
diagram as point B. Please show all work.
Open Economy – Two Large country problem
USA Initial Conditions
Cd = 310 + 0.4(Y-T) – 200rw
Id = 120 – 200rw
Y = 1000
T = 200
G =275
China Initial Conditions
CdF = 480 + .4(YF – TF)
– 300rw
IdF = 255 – 300rw
YF = 1500
TF = 300
GF = 300
a) (5 points) What is the equilibrium real interest rate that
clears the international goods market? Show all work.
b) (5 points) Compare the...
Open Economy – Two Large country problem
USA Initial Conditions
Cd = 300 + 0.4(Y-T) – 200rw
Id = 120 – 200rw
Y = 1000
T = 200
G =275
China Initial Conditions
CdF = 480 + .4(YF – TF)
– 300rw
IdF = 255 – 300rw
YF = 1500
TF = 300
GF = 300
a) (5 points) What is the equilibrium real interest rate that
clears the international goods market? Show all work.
b) (5 points) Compare the...
9.13 An economy is described as follows:
Cd = 170 + .6(Y-T) -
1400r
Id = 120 - 1000r
L = 0.25Y - 1000(i)
pe =
0%
G = 110
T = 100
M =
75
NFP =
0
i = r + pe
(a)If long run Y(i.e., Y full employment) is 370, what are the
long run levels of r and P?
(b) In the problem above, if the central bank were to increase the
money supply to...
9.5 A closed economy is described as follows:
Cd = 70 + .6(Y-T) -
300r
Id = 100 - 500r
L = .2Y - 250i pe =
0% G =
40 _ T =
50
M =
120
NFP =
0 Y = 210
(a) What will the interest rate be in the long run? SHOW YOUR
WORK.
(b) What will the price level be in the long run? SHOW YOUR
WORK.
(c) Given an equation for the AD curve for...
Suppose desired consumption and desired investment are Cd = 300 + 0.75(Y − T) − 300r T = 100 + 0.2Y Id = 200 − 200r G is the level of government purchases and G=600 Money demand is Md P = 0.5Y − 500(r + πe ) where the expected rate of inflation, πe , is 0.05. The nominal supply of money M = 133,200. Suppose the full employment output is 2500 and the price level in the short run...
Consider a large one economy where:
Cd= 1+.9(Y-T)-150r
Id=80-200r
y=250 T=40 G=50 NFP=0
If the saving schedule for the rest of the world is Sd=15+516.6r
and its investment schedule is Id=120-300r, then:
a) What is the equilibrium world interest rate?
b) What is the current account for the large open economy?
c) What is the financial account for the large open economy?
Consider the
differential equation
y′′(t)+15y′(t)+56y(t)=−210exp(-1t),
with initial conditions y(0)=−14, and
y′(0)=72.
A)Find the Laplace
transform of the solution Y(s). Write the
solution as a single fraction in s.
Y(s)=
______________
B) Find the partial
fraction decomposition of Y(s). Enter all factors as first order
terms in s, that is, all terms should be of the form
(c/(s-p)), where c is a constant and the root p is a constant. Both
c and p may be complex.
Y(s)= ____ + ______...
Consider the differential equation
y′′(t)+15y′(t)+56y(t)=−210exp(-1t),
with initial conditions y(0)=−14, and
y′(0)=72.
A)Find the Laplace
transform of the solution Y(s). Write the
solution as a single fraction in s.
Y(s)=
______________
B) Find the partial
fraction decomposition of Y(s). Enter all factors as first order
terms in s, that is, all terms should be of the form
(c/(s-p)), where c is a constant and the root p is a constant. Both
c and p may be complex.
Y(s)= ____ + ______...
1. Consider the initial value problem y′ =1+y/t, y(1)=3
for1≤t≤2.
• Show that y(t) = t ln t + 3t is the solution to the initial
value problem.
• Write a program that implements Euler’s method and the 4th
order Runke-Kutta method for the above initial value problem. Use
your program to solve with h = 0.1 for Euler’s and h = 0.2 for
R-K.
• Include a printout of your code and a printout of the results
at each...