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Assume the money sector (LM-curve) can be described by the following two equations:
md = (1/4)Y - 10i and ms = 400
In the expenditure sector only investment spending (I) is affected by the interest rate (i), and the equation of the IS-curve is: Y = 2,000 - 40i.
a. Assume the size of the expenditure multiplier is ?G = 2. What is the effect of an increase in government purchases by ?G = 200 on income and the interest rate?
b. By how much will private investment be crowded out as a result of this increase in government purchases?
c. If the money demand equation were changed to md = (1/4)Y (note the interest rate does not enter the demand function for money) how would your answers in questions “a” and “b” change?
An economy is operating with output $400 billion below its natural level, and fiscal policymakers want to close this recessionary gap. The central bank agrees to adjust the money supply to hold the interest rate constant, so there is no crowding out.
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