Economics questions

Suppose that the economy of Metroville can be characterized by the following equations:

Long run aggregate growth for Metroville is:

Y L → = 2

Money growth is given as:

M → = 3

Money velocity growth is:

V → = 5 C → + 4 I → + 2 G → + N X →

Initially, assume C=I=G=NX = 0

What is the long run equilibrium growth rate?
What is the long run equilibrium inflation rate?
Suppose that investment growth falls to
I → = − 1
Think about which curve this shock moves.
Calculate the new short-run output growth rate:

  1. Suppose that investment growth falls to
    I → = − 1
    Think about which curve this shock moves.
    Calculate the new short-run output inflation rate:
    5) Suppose that investment growth falls to
    I → = − 1
    Think about which curve this shock moves.
    Assuming the shock does not dissipate (or return back to its original level), what is the new long-run inflation rate?
    6) Suppose that investment growth falls to
    I → = − 1
    Think about which curve this shock moves.
    Assuming the shock does not dissipate (or return back to its original level), what is the new long-run output?

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