The following Mundell-Fleming model of a small, open economy will be used in all numerical exercises. It assumes a short-run framework in which prices are constant and output is demand-determined. C = 200 + 0.8(Y − T) I = 500 − 30r NX = 10 − 100e M/P = 50 + Y − 60r r = 2 G = 200 T = 100 M = 4000 P = 2 Assume that the exchange rate is floating. a.) Derive the equilibrium equations for IS* and LM*, sketch a graph of the two equations and solve for the equilibrium values of Y, e and NX. b.) Suppose the Treasury attempts to stimulate the economy by decreasing taxes T from 100 to 20. Calculate the new values of Y, e and NX. With the help of the graph you sketched in (a), explain the mechanism by which a new equilibrium is reached. c.) With all other exogenous variables at their original levels, suppose the Central Bank attempts to stimulate the economy by increasing money supply M from 4000 to 4200. Calculate the new values of Y, e and NX. Explain the mechanism by which a new equilibrium is reached.

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Chapter1: Making Economics Decisions
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The following Mundell-Fleming model of a small, open economy will be used in all numerical exercises. It assumes a short-run framework in which prices are constant and output is demand-determined.

C = 200 + 0.8(Y − T)

I = 500 − 30r

NX = 10 − 100e

M/P = 50 + Y − 60r

r = 2

G = 200

T = 100

M = 4000

P = 2

Assume that the exchange rate is floating.

a.) Derive the equilibrium equations for IS* and LM*, sketch a graph of the two equations and solve for the equilibrium values of Y, e and NX.

b.) Suppose the Treasury attempts to stimulate the economy by decreasing taxes T from 100 to 20. Calculate the new values of Y, e and NX. With the help of the graph you sketched in (a), explain the mechanism by which a new equilibrium is reached.

c.) With all other exogenous variables at their original levels, suppose the Central Bank attempts to stimulate the economy by increasing money supply M from 4000 to 4200. Calculate the new values of Y, e and NX. Explain the mechanism by which a new equilibrium is reached.

d.) In light of your answers to parts (b) and (c), compare the relative effectiveness of fiscal and monetary policy in influencing aggregate demand when the exchange rate is floating.

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