Assume the following equations for the goods and money market of an economy:
C = 250 + .8(Y-T)
I = 100 - 50r
T = G = 100.
Ms = 200
Md = 0.2Y – 100r
a) Derive the LM curve from the Md and Ms equations given above. Is this upward or downward sloping? The LM curve is written as Y = __ +/-__r.
b) Using the equation of the original IS curve and the LM curve in part (a) find the equilibrium levels of Y, r, M, C, S, I, G and T.
c) Using the LM curve in part (a) and the IS curve when T falls to 50 and everything else remains the same, find the equilibrium levels of Y, r, M, C, S, I, G and T
d) Explain the adjustment process from the old to the new equilibrium when (1) at the same r, you have a different Y, and (2) at the same Y, you have a different r. You might find it helpful to draw IS and LM curves for both equilibria first. Use numbers as much as possible.
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