148 Mishkin • Macroeconomics: Policy and Practice, Second Edition
a. For the most recent period in 2013:Q1, the Fed Funds Rate is 0.14 percent, while the Taylor Rule
predicts a slightly negative –0.07 percent, representing a gap of 0.21 percent. Compared to other
significant deviations, this seems to be a fairly close correspondence, although the negative value
is not possible in practice.
b. See graph below. The Taylor rule since 2000 has periods in which they are fairly closely
correlated, particularly from 2000 to 2002. However, there are significant gaps in other times, or
periods in which they do not seem to move together, such as the period from 2002 to 2006. From
2008 onward, there are significant differences between the two, particularly the period late in
2008 through 2010, in which the Taylor rule predicts the Fed Funds Rate should be negative by
as much as almost –4 percent, which is not possible. It also predicted a significant rise in the fed
funds rate in 2011, which did not materialize.
c. Because the Fed funds rate was at the zero lower bound during that time, conventional monetary
policy through adjustments in the fed funds rate was not possible, and highlights a limitation of
the Taylor rule: under “normal” conditions the Taylor rule provides a good approximation to
appropriate fed funds rate policy. However in extreme situations such as the financial crisis
period, the Taylor rule is less useful because other (unconventional) monetary policy tools are
needed to achieve stimulus.
d. See graph below. For the most part, the baseline Taylor rule and the hierarchical Taylor rule
predict nearly the same fed funds paths. The only significant deviations are from 2008 onwards,
where it predicts a significantly higher fed funds rate due to the inflation spike during that time.
Since 2010, it would predict a fed funds rate around 2 percent, which is much higher than during
that time and what the baseline rule predicts. For the current period, under such a hierarchical
Taylor rule, the fed funds rate would be predicted to be about 1.2 percent, much higher than the
current 0.14 percent.