1. Consider a closed economy that is characterized by the following equations: Y = C +| + G (1) C = 500 + 0.75(Y-T) (2) | = 375-25r (3) T = 500 (4) G = 500 (5) m, = m, (6) M = 1000 (7) m, = 0.5Y (8) = -50r (9) Where Y is the GDP, C is private consumption expenditure, I is the Investmen expenditure, G is government expenditure, T is tax revenues, M is money supply, M is transaction demand for money, M, is the speculative demand for money and ris the interest rate (in % points). a) Derive (M/P) the demand for real money balances equation (where P is the aggregate price level.) b) Derive the IS and LM equations of the economy (Express Y as a function of r and assume P is fixed at 1.0.) c) Calculate the short-run equilibrium values of Y and r in the economy.

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Chapter1: Making Economics Decisions
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1.
Consider a closed economy that is characterized by the followin9 equations:
Y = C +|+ G
(1)
C = 500 + 0.75(Y-T)
(2)
| = 375 -25r
(3)
T = 500
(4)
G = 500
(5)
m, = m,
(6)
m = 1000
(7)
m, = 0.5Y
(8)
m. = -50r
(9)
Where Y is the GDP, C is private consumption expenditure, I is the Investment
expenditure, G is government expenditure, T is tax revenues, M is money supply. m,
is transaction demand for money, M, is the speculative demand for money and r is
the interest rate (in % points).
a) Derive (m/P) the demand for real money balances equation (where P is the
aggregate price level.)
b) Derive the IS and LM equations of the economy (Express Y as a function of r and
assume P is fixed at 1.0.)
c) Calculate the short-run equilibrium values of Y and r in the economy.
Transcribed Image Text:1. Consider a closed economy that is characterized by the followin9 equations: Y = C +|+ G (1) C = 500 + 0.75(Y-T) (2) | = 375 -25r (3) T = 500 (4) G = 500 (5) m, = m, (6) m = 1000 (7) m, = 0.5Y (8) m. = -50r (9) Where Y is the GDP, C is private consumption expenditure, I is the Investment expenditure, G is government expenditure, T is tax revenues, M is money supply. m, is transaction demand for money, M, is the speculative demand for money and r is the interest rate (in % points). a) Derive (m/P) the demand for real money balances equation (where P is the aggregate price level.) b) Derive the IS and LM equations of the economy (Express Y as a function of r and assume P is fixed at 1.0.) c) Calculate the short-run equilibrium values of Y and r in the economy.
Consider a closed economy that is characterized by the following equations:
Y = C +1+ G
(1)
C = 500 + 0.75(Y-T)
(2)
| = 375-25r
(3)
T = 500
(4)
G = 500
(5)
m = m,
(6)
m. = 1000
(7)
m, = 0.5Y
(8)
m, = -50r
(9)
Where Y is the GDP, C is private consumption expenditure, I is the Investment
expenditure, G is government expenditure, T is tax revenues, M̟ is money supply, M,
is transaction demand for money. M, is the speculative demand for money and r is
the interest rate (in % points).
a) Derive (m/P) the demand for real money balances equation (where P is the
aggregate price level.)
b) Derive the IS and LM equations of the economy (Express Y as a function of r and
assume Pis fixed at 1.0.)
c) Calculate the short-run equilibrium values of Y and r in the economy.
Transcribed Image Text:Consider a closed economy that is characterized by the following equations: Y = C +1+ G (1) C = 500 + 0.75(Y-T) (2) | = 375-25r (3) T = 500 (4) G = 500 (5) m = m, (6) m. = 1000 (7) m, = 0.5Y (8) m, = -50r (9) Where Y is the GDP, C is private consumption expenditure, I is the Investment expenditure, G is government expenditure, T is tax revenues, M̟ is money supply, M, is transaction demand for money. M, is the speculative demand for money and r is the interest rate (in % points). a) Derive (m/P) the demand for real money balances equation (where P is the aggregate price level.) b) Derive the IS and LM equations of the economy (Express Y as a function of r and assume Pis fixed at 1.0.) c) Calculate the short-run equilibrium values of Y and r in the economy.
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