Consider a small-open endowment economy with free capital mobility, a single traded good per pe- riod, and a government that levies lump-sum taxes to finance government purchases. Assume that there is no physical capital and hence no investment. Assume that the economy exists for an infinite number of periods. The four building blocks that compose our monetary economy are: M₁ Pt = L(C, it) = P₁ = E₁Pt 1+ i = (1+r) = E₁+1 Et Mt - Mt-1 B-B-1= (6) Et where M, is the money supply in period t; P, is the domestic price level in period t; L(C, it) is the money demand function; C is consumption; it is the nominal interest rate in the domestic economy; Et is the nominal exchange rate expressed as units of domestic currency per one unit of foreign currency; Pt is the foreign price level in period t; r* is the real interest rate in a foreign country; E, is expected nominal - DEF (3) (4) (5) -

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Question 3
Consider a small-open endowment economy with free capital mobility, a single traded good per pe-
riod, and a government that levies lump-sum taxes to finance government purchases. Assume that there
is no physical capital and hence no investment. Assume that the economy exists for an infinite number
of periods. The four building blocks that compose our monetary economy are:
Mt
= L(C, i.)
(3)
Pe
P = EP
(4)
1+ = (1+r")-
(5)
Et
Mt- Mt-1
B – B
DEF
(6)
Et
where Mt is the money supply in period t; P, is the domestic price level in period t; L(C, u) is the money
demand function; C is consumption; i is the nominal interest rate in the domestic economy; Et is the
nominal exchange rate expressed as units of domestic.currency per one unit of foreign currency; P is the
foreign price level in period t; r* is the real interest rate in a foreign country; E is expected nominal
exchange rate in period t + 1; B is international bond holdings held by the government; DEF, is a
secondary fiscal deficit.
A) Explain under which conditions the uncovered interest rate parity condition could be expressed as
1+ i = (1+r*)
B) Suppose, under a floating exchange rate regime, the central bank expands money supply at a con-
stant positive rate u each period: M = (1+ µ)M-1, and the exchange rate depreciates at rate
H.
i) What would happen to the nominal exchange rate, interest rate and price level in the econ-
omy?
ii) Does government have any seignorage revenue? How would it look like?
Transcribed Image Text:Question 3 Consider a small-open endowment economy with free capital mobility, a single traded good per pe- riod, and a government that levies lump-sum taxes to finance government purchases. Assume that there is no physical capital and hence no investment. Assume that the economy exists for an infinite number of periods. The four building blocks that compose our monetary economy are: Mt = L(C, i.) (3) Pe P = EP (4) 1+ = (1+r")- (5) Et Mt- Mt-1 B – B DEF (6) Et where Mt is the money supply in period t; P, is the domestic price level in period t; L(C, u) is the money demand function; C is consumption; i is the nominal interest rate in the domestic economy; Et is the nominal exchange rate expressed as units of domestic.currency per one unit of foreign currency; P is the foreign price level in period t; r* is the real interest rate in a foreign country; E is expected nominal exchange rate in period t + 1; B is international bond holdings held by the government; DEF, is a secondary fiscal deficit. A) Explain under which conditions the uncovered interest rate parity condition could be expressed as 1+ i = (1+r*) B) Suppose, under a floating exchange rate regime, the central bank expands money supply at a con- stant positive rate u each period: M = (1+ µ)M-1, and the exchange rate depreciates at rate H. i) What would happen to the nominal exchange rate, interest rate and price level in the econ- omy? ii) Does government have any seignorage revenue? How would it look like?
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