Let us consider an open economy which has removed all barriers to capital mobility. The open economy comprises three agents: households, firms and a government (which includes monetary authorities). We denote GDP by Y, the domestic interest rate by r, the exchange rate (i.e., the pound sterling price of one euro) by e (a rise in e means a depreciation of the pound sterling), and by r* the world interest rate. Prices are fixed and normalized to unity. The economy is described by the following equations:
Let us consider an open economy which has removed all barriers to capital mobility. The open economy comprises three agents: households, firms and a government (which includes monetary authorities). We denote GDP by Y, the domestic interest rate by r, the exchange rate (i.e., the pound sterling price of one euro) by e (a rise in e means a depreciation of the pound sterling), and by r* the world interest rate. Prices are fixed and normalized to unity. The economy is described by the following equations:
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Let us consider an open economy which has removed all barriers to capital mobility. The open
economy comprises three agents: households, firms and a government (which includes monetary
authorities). We denote GDP by Y, the domestic interest rate by r, the exchange rate (i.e., the
pound sterling price of one euro) by e (a rise in e means a depreciation of the pound sterling), and
by r* the world interest rate. Prices are fixed and normalized to unity. The economy is described
by the following equations:
C
C(Y-T), 0<Cy_T < 1,
I
I (r), Ir <0,
G
G₁
T = T,
NX = NX (e,Y), NXe > 0, NXy < 0,
MD
L (Y,r), Ly>0, Lr <0,
MS =
M + H₂
CI = CI (r-r*), CI, > 0,
(la)
(1b)
(1c)
(1d)
(le)
(1f)
(1g)
(1h)
where a bar indicates that the variable is exogenous; C and G are final consumption expenditure
by households and the government, respectively, T are lump-sum taxes, I stands for invest-
ment (i.e., gross fixed capital formation), NX net exports (i.e., exports, EX(e), less imports,
e .IM*(e,Y), expressed in local currency, say pound sterling), MD and MS are money demand
and supply; money supply MS = M + H includes an exogenous component, M, and an endoge-
nous component H = ARES which is the change in international reserves; in a floating exchange
rate regime, H = 0; CI are capital inflows defined as investment less savings; if CI > 0, it means
that the country sells more domestic assets than it purchases foreign assets and thus experiences
capital inflows; if CI < 0, it means than the country purchases more foreign assets than it sells
domestic assets and thus experiences capital outflows. A rise in r makes domestic assets profitable
and thus leads to capital inflows.
1. Which condition implies that an exchange rate depreciation produces an increase in net
exports? Explain.
1
2. Comment equations (1).
3. Derive the slopes of the IS-, LM-, and BP-schedule in the (Y,r)-space. Develop intuition
about their pattern. Note: for simplicity purposes, we assume that net exports is a good
approximation of the current account.
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