Mishkin • Instructor’s Manual for The Economics of Money, Banking, and Financial Markets, Twelfth Edition 266
ANSWERS TO DATA ANALYSIS PROBLEMS
1. On January 19, 2017, the Federal Reserve released its amended statement on longer-run
goals and monetary policy strategy. It stated: “The Committee reaffirms its judgment that
inflation at the rate of 2%, as measured by the annual change in the price index for personal
consumption expenditures, is most consistent over the longer run with the Federal Reserve’s
statutory mandate.” and that “the median of FOMC participants’ estimates of the longer-run
normal rate of unemployment was 4.8%.” Assume this statement implies that the natural rate
of unemployment is believed to be 4.8%. Go to the St. Louis Federal Reserve FRED
database, and find data on the personal consumption expenditure price index (PCECTPI),
the unemployment rate (UNRATE), real GDP (GDPC1), and real potential gross domestic
product (GDPPOT), an estimate of potential GDP. For the price index, adjust the units
setting to “Percent Change From Year Ago.” For the unemployment rate, adjust the
frequency setting to ‘Quarterly’. Download the data into a spreadsheet.
a. For the most recent four quarters of data available, calculate the average inflation gap
using the 2% target referenced by the Fed. Calculate this value as the average of the
inflation gaps over the four quarters.
b. For the most recent four quarters of data available, calculate the average output gap
using the GDP measure and the potential GDP estimate. Calculate the gap as the
percentage deviation of output from the potential level of output. Calculate the average
value over the most recent four quarters of data available.
c. For the most recent four quarters of data available, calculate the average unemployment
gap, using 4.8% as the presumed natural rate of unemployment. Based on your answers
to parts (a) through (c), does the divine coincidence apply to the current economic
situation? Why or why not? What does your answer imply about the sources of shocks
that have impacted the current economy? Briefly explain.