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Suppose the economy has the Phillips Curve pi = pi^e - 0.25(u-.04).
a. Find the natural rate of uemployment
b. Graph the short run Phillips curve if the expected rate of inflation is 3 percent or 0.03
c. What is the sacrifice ratio in this economy?
d. If the central bank has a loss function of L(pi) = (pi)^2, what is the optimal level of inflation in this economy?
e. Given the loss function in d, what is the resulting long run rate of unemployment?
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