Assume that b=1 and that initially the real interest rate is equal to the marginal product of capital at 4%. As well, assume that v=1/2 and that the inflation rate last period was 2%
a. If the housing bubble busting causes the share of output of investment to fall 6% of potential GDP, what will happen to the economy?
b. If the economy was at potential before and the natural rate of unemployment is 5% what will unemployment be now?
c. What will the inflation rate be?
d. How low can the Federal Reserve lower the Real interest rate*? How much output is recovered? Is it enough to push the economy back to potential?