(6) C=C₂Y³²-(+i^*) + c(Fut/P) where 00. The balance sheet of commercial banks is (7) L=D+Lº Where L = P1 denotes loans to firms, and Lº borrowing from the central bank The interest rate on domestic deposits is (8) P=F Where I is the cost of borrowing from the central bank, or the refinance rate. The interest rate on loans is (9) F=F+e Where is a premium, defined as (10)ee (P Ko-Lo) Where Le is beginning-of-period loans and so The equilibrium condition of the market for domestic goods is (11)Y-X(z)=(1-delta)C+1+G, Where G is government spending, X exports, z = E/ (P) the real exchange rate (defined such that an increase is a depreciation), X = X/>0 and 0

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(6) C=₂Y²+1^*) + c₂(Fot¹ / P²)
where 0<c<1, c), ci >0.
The balance sheet of commercial banks is
(7) L=D+Lº
Where L = Pº denotes loans to firms, and L" borrowing from the central bank
The interest rate on domestic deposits is
(8) P=P
Where I is the cost of borrowing from the central bank, or the refinance rate.
The interest rate on loans is
(9) F=F+e
Where is a premium, defined as
(10) e (P Ko-Lo)
Where Lis beginning-of-period loans and eso
The equilibrium condition of the market for domestic goods is
(11) X(z)=(1-deltalC+1+G,
Where G is government spending, X exports, z = E/ (P) the real exchange rate (defined such that an
increase is a depreciation), X=gX/gz> 0 and 0 <delta < 1 is the fixed fraction of total household
expenditure spent on imported goods
The equilibrium condition of the market for foreign exchange is given by
(12) Z¹ [X(z)-delta C] +(1+i) Do -(D* -Do) = 0.
Suppose that the foreign interest rate, į", rises.
Let E¹ denote the new equilibrium point, corresponding to the intersection of the new curves F¹G¹ and
X¹X¹, characterized by higher domestic prices. The government would like to bring the economy back to
its initial equilibrium position, point Eº, corresponding to the intersection of the initial curves FºGº and
XX.
Question What is the key reason why monetary policy by itself, or fiscal policy by itself, may or may not
be able to bring the economy from E¹ back to Eº?
Transcribed Image Text:(6) C=₂Y²+1^*) + c₂(Fot¹ / P²) where 0<c<1, c), ci >0. The balance sheet of commercial banks is (7) L=D+Lº Where L = Pº denotes loans to firms, and L" borrowing from the central bank The interest rate on domestic deposits is (8) P=P Where I is the cost of borrowing from the central bank, or the refinance rate. The interest rate on loans is (9) F=F+e Where is a premium, defined as (10) e (P Ko-Lo) Where Lis beginning-of-period loans and eso The equilibrium condition of the market for domestic goods is (11) X(z)=(1-deltalC+1+G, Where G is government spending, X exports, z = E/ (P) the real exchange rate (defined such that an increase is a depreciation), X=gX/gz> 0 and 0 <delta < 1 is the fixed fraction of total household expenditure spent on imported goods The equilibrium condition of the market for foreign exchange is given by (12) Z¹ [X(z)-delta C] +(1+i) Do -(D* -Do) = 0. Suppose that the foreign interest rate, į", rises. Let E¹ denote the new equilibrium point, corresponding to the intersection of the new curves F¹G¹ and X¹X¹, characterized by higher domestic prices. The government would like to bring the economy back to its initial equilibrium position, point Eº, corresponding to the intersection of the initial curves FºGº and XX. Question What is the key reason why monetary policy by itself, or fiscal policy by itself, may or may not be able to bring the economy from E¹ back to Eº?
Consider a small open economy producing a good which is an imperfect substitute for a foreign good.
There are five categories of agents: firms, households, commercial banks, the central bank, and the
government. The world price of the foreign good is taken as exogenous and normalized to unity. The
nominal exchange rate, E, is flexible.
The supply of the domestic good is given by
(1) ys* y* (po)*
Where Pº is the price of the domestic good and Y³=dY²³ /d PD > 0
Investment, I, is financed by bank loans and is defined as
(2) 1=()
Where is the loan rate and I' <0.
Households hold three categories of assets: cash (which bears no interest), deposits with domestic
banks, and foreign-currency deposits abroad. Assets are imperfect substitutes. Household financial
wealth, F^ H is defined as:
(3) P¹=M+D+E.D"
Where M is cash holdings, and D (respectively, D") domestic (respectively, foreign) deposits.
The demand for deposits is
(4) M/D=m,
Where IP is the interest rate on domestic deposits, and m> 0 is a constant coefficient.
The demand for foreign deposits depends on the domestic and foreign interest rates:
(5) ED* /F" =h(*).
Where Fo" is the predetermined component of household financial wealth, Esthe nominal exchange
rate at the beginning of the period, the interest rate on domestic deposits, į" the interest rate on
foreign deposits, and he is a share function with partial derivatives
ah/ai<<0, ah/ai"* = hi*>0.
Household consumption spending, C, depends on factor income, interest rates, and wealth:
Transcribed Image Text:Consider a small open economy producing a good which is an imperfect substitute for a foreign good. There are five categories of agents: firms, households, commercial banks, the central bank, and the government. The world price of the foreign good is taken as exogenous and normalized to unity. The nominal exchange rate, E, is flexible. The supply of the domestic good is given by (1) ys* y* (po)* Where Pº is the price of the domestic good and Y³=dY²³ /d PD > 0 Investment, I, is financed by bank loans and is defined as (2) 1=() Where is the loan rate and I' <0. Households hold three categories of assets: cash (which bears no interest), deposits with domestic banks, and foreign-currency deposits abroad. Assets are imperfect substitutes. Household financial wealth, F^ H is defined as: (3) P¹=M+D+E.D" Where M is cash holdings, and D (respectively, D") domestic (respectively, foreign) deposits. The demand for deposits is (4) M/D=m, Where IP is the interest rate on domestic deposits, and m> 0 is a constant coefficient. The demand for foreign deposits depends on the domestic and foreign interest rates: (5) ED* /F" =h(*). Where Fo" is the predetermined component of household financial wealth, Esthe nominal exchange rate at the beginning of the period, the interest rate on domestic deposits, į" the interest rate on foreign deposits, and he is a share function with partial derivatives ah/ai<<0, ah/ai"* = hi*>0. Household consumption spending, C, depends on factor income, interest rates, and wealth:
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