ANSWERS TO DATA ANALYSIS PROBLEMS
1. On January 28, 2014, the Federal Reserve released a special statement that clarified its
goals of “price stability” and “maximum employment.” Specifically, it stated that “the
Committee judges that inflation at the rate of 2 percent, 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 “FOMC participants’ estimates of
the longer-run normal rate of unemployment had a central tendency of 5.2 percent to 6.0
percent.” Assume this statement implies that the natural rate of unemployment is believed to
be 5.6%. 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.” 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 12 months of data available, calculate the average unemployment
gap, using 5.6% 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.