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The Next Topic: Characterizing Monetary Policy In the old days, monetary policy was defined in terms of a path for the money supply. In 1993, John Taylor suggested instead a simple feedback rule for nominal interest rates: rt¿ = (rrtn + ¼¤ ) + Á¼ (¼t ¡ ¼¤ ) + Áy (yt ¡ y¹t ) rt¿ = the Fed Funds Rate (target rate) rrtn = the real interest rate consistent with full employment ¼¤ = the target in°ation rate = 0 in G&G y¹t = full employment output (Á¼ ; Áy ) = constants Monetary Policy Using G&G notation rt¿ = rrtn + Á¼ ¼t + Áy y~t Hence, if inflation is zero and the economy is at full employment, then the Fed Funds rate is set equal to the full employment real interest rate. But if the economy is “overheating”: ¼t > 0; y~t > 0 then raise the target rate. Critically the coefficient on inflation needs to be greater than 1. To see this subtract inflation from both sides Monetary Policy Rule The Taylor rule becomes rt¿ ¡ ¼t = rrtn + Á¼ ¼t ¡ ¼t + Áy y~t | {z } rrt¿ Or, rearranging terms rrt¿ = rrtn + (Á¼ ¡ 1) ¼t + Áy y~t Recall from the IS curve, that to contract AD, the long term interest rate must increase. If Á¼ < 1 , then an increase in inflation will cause a fall in real interest rates…AD will increase rather than decrease. An historical analysis of monetary policy using the Taylor rule. rt¿ = rrtn + Á¼ ¼t + Áy y~t Recently, the parameters of the Taylor rule have been estimated for different sample periods. These estimates are presented below: 60:1 - 79:4 87:1 - 97:3 Variable Estimate Estimate Á¼ Áy 0.813 1.533 0.252 0.765 Note critically that the coefficient on inflation was less than 1 during the 60’s and 70’s. This means that increases in inflation lower the real interest rate which causes demand to increase -- this results in even higher inflation. Hence, inflation becomes unstable. Graphically we can show the difference by assuming output is always equal to full employment and the long run real interest rate = 2%. Then the Taylor rule in the sample periods becomes: 1960 ¡ 1979 : Rt = 2:045 + 0:813¼t 1987 ¡ 1997 : Rt = 1:174 + 1:533¼t In the early period, inflation is unstable – departures from equilibrium grow. Comparison of actual and predicted Fed Funds Rate using the Taylor rule The following graphs examine the path of the Fed Funds rate predicted by two Rules. Rule 1: (Á¼ = 1:5; Áy = 0:5) Rule 2: (Á¼ = 1:5; Áy = 1:0) For the late 1970’s and early 1980’s we have: Greenspan seemed to do a good job through the mid to late 90’s The Taylor rule predictions can be monitored via the St. Louis Fed’s web site Monetary Trends. (http://research.stlouisfed.org/publications/mt/) Here is what the latest version shows: Current conditions Recently John Taylor claims that the low Fed Funds rate from 2003-2006 was important for the behavior of house prices. From an Economist article At this year’s annual central bankers’ symposium in Jackson Hole, Wyoming, Mr Taylor ran his own rule over the Fed (see chart 6). Had the central bank followed it, rates in 2002 would have been going up not down. By the time rates started to rise, the gap between the actual rate and that indicated by the Taylor rule was three percentage points. The gap was finally closed only last year—long after fears of deflation had been banished. The Fed has departed from the rule at other times in the past couple of decades, said Mr Taylor, notably in the autumn of 1998, “but this was the biggest deviation, comparable to the turbulent 1970s.” Did the Fed cause the Housing Bubble? Had the Fed acted differently, would the boom and bust have been less marked? At Jackson Hole Mr Taylor said it would. He reckons that the Fed’s policy explains housing starts fairly well until mid-2004, when interest rates started to rise; by then, the boom had its own momentum. Under the Taylor rule, starts would have peaked sooner—around two years earlier than happened in real life—and at a much lower level. Last Topic: Aggregate Supply z We will next discuss the AS curve and then analyze how monetary policy affects the economy. z Critical: The credibility of the Fed!