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THE FEDERAL RESERVE BANK
OF CHICAGO

ESSAYS ON ISSUES
2016 NUMBER 363

Chicago Fed Letter
Macroeconomic sources of recent interest rate fluctuations
by Stefania D’Amico, senior financial economist, Thomas B. King, senior financial economist, and Min Wei, deputy associate
director, Board of Governors of the Federal Reserve System1

The authors use a new statistical method to attribute daily changes in U.S. Treasury yields
and inflation compensation to changes in investor beliefs about domestic and foreign growth,
inflation, and monetary policy. They find that while foreign developments have been important
drivers of U.S. yields and expected inflation over the last decade, the recent divergence
between U.S. and European monetary policy has had little effect. Instead, the behavior
of asset prices seems consistent with positive “aggregate supply shocks.” One candidate
for such shocks is the large decline in energy prices experienced since June 2014.
Between mid-2014 and late 2015, U.S. labor market conditions continued to improve, and Federal
Open Market Committee (FOMC) communications increasingly pointed to a first interest rate hike
in almost a decade, which occurred in December. We would have expected these developments to
be associated with a rise in longer-term Treasury yields, as often observed prior to past episodes of
monetary policy tightening. Expectations for inflation also usually increase prior to policy tightening,
as the strengthening economy leads market participants to anticipate rising prices.
In stark contrast to this typical pattern, however, nominal U.S. Treasury yields declined slightly
over this period, and a proxy for expected inflation given by the spread between nominal yields
and those on Treasury inflation-protected securities (TIPS), also known as inflation compensation,
decreased significantly. In this Chicago Fed
Letter, we use new empirical methods based
on comparisons of daily relative movements
We find global shocks were important
in asset prices to explain this seemingly
drivers of U.S. yields and expected inflation
anomalous behavior.

over the last decade, but they appeared
to be less important during the run-up to
the FOMC’s recent rate increase.

One possible explanation for the puzzling
movement in Treasury yields and inflation
compensation that has received some attention
is that slowing global economic growth and
disinflationary pressures abroad may have spilled over into U.S. markets over this period. For example, over the last several years European developments have frequently figured prominently in
the financial news, and, unlike the Fed, the European Central Bank (ECB) has aggressively eased
policy in recent months. Our analysis is broadly consistent with these observations: We find that
global shocks were important drivers of U.S. yields and expected inflation over the last decade,
but they appeared to be less important during the run-up to the FOMC’s recent rate increase.

1. U.S. and euro area ten-year sovereign bond yields and inflation compensation
percent
July 30, 2007

6

May 30, 2014

April 30, 2010

5

4

3

2

1

0
June 6,
2005

June 6,
’06

June 6,
’07

June 6,
’08

June 6,
’09

June 6,
’10

June 6,
’11

June 6,
’12

June 6,
’13

June 6,
’14

Ten-year U.S. Treasury yields

Ten-year German bond yields

Ten-year U.S. inflation compensation

June 6,
’15

Ten-year euro area inflation compensation

Source: Thomson Reuters Tick History.

Instead, we find that between June 2014 and December 2015, market participants’ expected U.S.
growth trended higher while expected U.S. inflation trended lower. These two phenomena had
offsetting effects on longer-term U.S. interest rates. This combination of stronger growth and weaker
inflation sounds very much like a classic “aggregate supply shock,” i.e., an event that causes output
and prices to move in opposite directions. A natural candidate for such a shock is the large decrease
in oil prices that began in the second quarter of 2014.

Recent trends in U.S. and European yields
The blue and red lines in figure 1 show daily movements in the ten-year nominal U.S. Treasury
yield and ten-year TIPS inflation compensation from June 2005 to December 2015.2 The large
net declines in both yields and inflation compensation during the recent financial crisis are consistent with the weaker growth, aggressive policy easing, and declining energy prices that buffeted
the U.S. economy in 2008 and 2009. Between early 2010 and mid-2014, yields drifted down further,
amid continued easing by the Federal Reserve, while inflation compensation fluctuated within a
100-basis-point range. Between mid-2014 and December 2015, yields and inflation compensation
have come down further, despite fairly steady data on economic growth and core inflation and the
approach of the first rate hike in almost ten years. This seems particularly odd since, even before
the actual rate increase, survey evidence shows that market participants believed that the FOMC
would act to increase short-term interest rates in the relatively near future.3 Typically, these beliefs
would be associated with increases in longer-term yields.
A partial resolution of these puzzles can be obtained by observing the behavior of the corresponding
European data over the same period. The green and purple lines in the figure show the yield on
the ten-year German nominal government bond (the Bund) and ten-year euro area inflation compensation implied by rates on inflation swaps contracts. Starting in the middle of 2007, U.S. and
German bond yields, which had previously displayed only a modest correlation, began moving

2. Sign restrictions imposed to identify shocks
U.S.
growth

U.S.
inflation

U.S.
policy

Global
growtha

Global
inflationa

U.S. ten-year yield

+

+

+

+

+

S&P 500 Index

+

–

+

U.S. ten-year inflation
compensation

+

–

FlightEU policy to-safety
–
–

+

VIX
U.S. dollar vs. euro

+
+

–

+

–

German ten-year yield

+

EuroStock600 Index

+

EU ten-year inflation swap

+

+
–

+

–

“Global” shocks also restrict the magnitude of the impact on a European variable to be larger than that on the corresponding U.S. variable.
Sources: Authors’ computations based on data from Thomson Reuters Tick History.
a 

together quite closely. This co-movement increased further over the period 2010 to 2012, when market
participants—including those in U.S. Treasury markets—were focused on the Greek sovereign debt
crisis and the possible implications for global growth, as well as on the fiscal and financial stability
of other European Union (EU) member states. U.S. and European inflation compensation were
also broadly aligned during this time.
More recently, however, the behavior of U.S. and European longer-term yields has diverged somewhat. German yields declined by over 70 basis points between June 2014 and December 2015 while
U.S. yields only fell about 16 basis points. Moreover, although the drop in nominal yields was far
bigger in Europe, the decline in European inflation compensation over this period was less than
half of the drop in the United States. Consequently, it seems unlikely that European developments
can fully explain why U.S. yields and inflation compensation continued to be so low even in the
face of improved economic activity and anticipated policy tightening.

Empirical approach
To address these issues more systematically, we employ statistical time-series techniques to decompose daily changes in yields, inflation compensation, and other financial variables into different
types of “shocks.” The shocks are distinguished by the directions in which they move asset prices
relative to one another. We assume that an unexpected increase in U.S. inflation expectations moves
U.S. inflation compensation and U.S. Treasury yields higher while also causing a depreciation of
the dollar. Similarly, we assume that a surprise increase in U.S. growth expectations will cause the
U.S. stock market, U.S. Treasury yields, and the value of the dollar to shift up. Tighter than expected
U.S. monetary policy is assumed to increase Treasury yields and the value of the dollar but reduce
the U.S. stock market index and U.S. inflation compensation, and European policy shocks are identified
in a similar fashion.4 These assumptions are intuitive and can be justified with simple theoretical
models. Global growth and inflation shocks are viewed as common factors driving key U.S. and
European variables in the same direction, but having a larger magnitude of impact on European
variables than on U.S. variables. In other words, we are favoring global shocks originating from Europe
or from countries to which Europe has a larger exposure than the U.S. does. Finally, we identify a
“flight-to-safety” shock to control for the stylized fact that investors might seek safer assets in times
of financial stress. This shock is defined as one that moves U.S. nominal Treasury yields and the
U.S. stock market down but U.S. stock market volatility (as measured by the VIX Index) up.
In summary, as shown in figure 2, each of the seven shocks under consideration is identified through
a combination of restrictions that have to be satisfied simultaneously. It is important to realize that

3. Subperiod decomposition of changes in U.S. yields and inflation compensation
7/30/07−4/30/10

4/30/10−5/30/14

5/30/14−12/16/15

Ten-year TY

Ten-year IC

Ten-year TY

Ten-year IC

Ten-year TY

Ten-year IC

Total change

	−109

	7

	−122

	−24

	−16

	−77

U.S. growth
U.S. inflation
U.S. policy
Total

	−24
	−11
	−2
	−37

	4
	–4
	6
	6

	−2
	−14
	−39
	−55

	−2
	−5
	−1
	−8

	22
	−29
	11
	4

	−4
	−30
	−7
	−40

Global growth
Global inflation
EU policy
Total

	−19
	−9
	−7
	−36

	−4
	−4
	6
	−1

	−12
	−26
	−11
	−49

	−6
	−10
	0
	−16

	−3
	−9
	−2
	−14

	−10
	−6
	−5
	−21

Flight-to-safety

	−20

	0

	−4

	−0

	−5

	−9

Source: Authors’ computations.

although we only observe the aggregate moves in asset prices each day, we allow all seven of our
shocks to occur on each day. Our statistical decomposition determines the magnitude and variation
of each of those shocks over our sample period.5 Importantly, it allows us to compute how much
of the daily movement in each of the financial variables can be attributed to each type of shock.

Results
We analyze changes in U.S. nominal Treasury yields and inflation compensation in three subperiods that are chosen to loosely correspond to the time-series patterns noted above. The first period
starts at the end of July 2007 with the onset of the financial crisis and ends on April 30, 2010,
before the emergence of the European debt crisis. Intuitively, we would expect this time period to
be dominated by U.S. shocks associated with the financial crisis, although we also recognize that
the financial crisis had international implications even at this stage. The second subperiod starts
on April 30, 2010, and ends on May 30, 2014, and is meant to capture the intensification of the
European debt crisis. The last period, which runs from May 30, 2014, to December 16, 2015, is a
period during which the U.S. and European business and monetary policy cycles were diverging.
For example, during this period the Fed concluded its third round of quantitative easing (QE) and
signaled the approach of its policy rate increase, even as the ECB cut its deposit rate into negative
territory and announced the beginning of a large QE program. This period is also marked by
significant declines in oil prices, which, though not explicitly included in our model, will turn out
to be an important part of our story.6
The columns in figure 3 report, for each subperiod, the net changes in the ten-year U.S. Treasury
yield and inflation compensation and the portion of those changes that are attributed to each shock.7
Starting with the first period, out of a total decline of 109 basis points in the ten-year yield, 37 basis
points are explained by U.S. shocks, with domestic growth accounting for the largest portion. This
result is consistent with the large negative shocks to the economy associated with the financial crisis.
U.S. monetary policy accounts only for 11 basis points as, on balance, Fed communication and
actions were slightly more accommodative than would have been expected given the shocks to growth
and inflation. Interestingly, foreign shocks also account for a similar share of the yield changes
during this period (36 basis points). Finally, the flight-to-safety shock also plays a significant role,
accounting for about 20 basis points of the total decline. As for inflation compensation, in the
first period, U.S. shocks account for a larger share, although the overall change is quite small.

For the second subperiod, we find that the decline in the ten-year Treasury yield explained by
U.S. shocks (−55 basis points) is a bit larger than that explained by foreign shocks (−49 basis points),
which now account for a bigger fraction of the total change relative to the previous period. In the
case of the U.S. shocks, a more accommodative than expected monetary policy appears to have
the largest effect. This is not surprising, considering the significant balance sheet policies and forward
guidance changes announced in this period. Negative global inflation and growth shocks also contribute significantly to the downward movement in both U.S. yields and inflation compensation over
this period. This is consistent with the notion that during this period U.S. markets were driven in
large part by disappointing news from Europe.
Over the third subperiod, we find that better than expected domestic growth and slightly tighter
than expected domestic policy would have pushed the U.S. yield about 30 basis points higher.
However, most of this positive effect is offset by negative domestic inflation shocks. Similarly, the
largest contribution to the decline in inflation compensation also comes from negative U.S. inflation shocks. Relative to the two earlier periods, global shocks have a smaller effect on U.S. yields
but still account for nearly a third of the total downward movement in inflation compensation.
Furthermore, despite some notable monetary policy developments in Europe during this period,
European policy shocks contribute little to the movement in U.S. yields and inflation compensation, suggesting that European policy actions were largely in line with expectations. Finally, the
flight-to-safety shock plays some role in explaining the movements of U.S. yields and inflation
compensation over this period.
The configuration of shocks in the last subperiod could be consistent with oil price declines being
an important driver of U.S. yields and inflation compensation during this period. Large downward
movements in oil prices, like those that occurred since the second half of 2014, are potentially
consistent with a variety of underlying forces, including a glut in oil production or weaker demand
for this source of energy. All else being equal, however, oil price declines tend to reduce U.S. firms’
costs, allowing them to increase their output without increasing their prices. While our analysis
does not directly examine the extent to which this has occurred, the pattern of positive movements
in expected growth and negative movements in expected inflation that we find suggests such a
dynamic. The net effect of an oil price change on longer-term nominal yields is theoretically
ambiguous and plausibly close to zero.8

Conclusions
In summary, we find that foreign developments explain a meaningful portion of the changes in U.S.
nominal Treasury yields and inflation compensation between mid-2007 and late 2015. However,
after mid-2014, shocks that pushed expected U.S. growth and inflation in opposite directions have
been the most important driver of U.S. yields and inflation compensation movements, consistent
with the large decline in energy prices that occurred around this time. These developments left
little net imprint on nominal yields and weighed down inflation compensation, despite continued
moderate U.S. growth and the anticipated beginning of the U.S. monetary policy tightening cycle.
	 We thank Uri Carl, Eric Horton, and Vicki Eastman for excellent research assistance, and Jim Clouse, Mike Joyce, and
Anna Paulson for helpful comments. This article was previously published as Stefania D’Amico, Thomas B. King, and
Min Wei, 2016, “Macroeconomic sources of recent interest rate fluctuations,” Board of Governors of the Federal Reserve
System, FEDS Notes, June 2, http://www.federalreserve.gov/econresdata/notes/feds-notes/2016/macroeconomicsources-of-recent-interest-rate-fluctuations-20160602.html.

1

	 All U.S. asset prices, including the dollar exchange rate, are recorded at noon eastern time to be more in sync with
European asset prices. Inflation compensation is computed as the difference between nominal Treasury yields and TIPS
yields of the same maturity. Technically, in addition to expectations of inflation, it includes premiums for inflation risk
and liquidity risk. We ignore those premiums for the purposes of this discussion, but it is important to keep in mind
that some of the movements in our measure may be driven by changes in the perceived risks of inflation, rather than
by expectations per se.

2

	 For example, in January 2015, the Blue Chip Financial Forecasts Survey indicated that 95% of respondents believed that
the first rate hike would occur by the September 2015 FOMC meeting. The Survey of Primary Dealers compiled by the
Federal Reserve Bank of New York around the same time showed that the median dealer attached 85% probability to
the first rate increase occurring by the end of 2015.

3

	 Note that, unlike other approaches, this identification does not assume that the short-term interest rate is the sole indicator of the stance of monetary policy. This is an important feature of our methodology since, following the financial
crisis in 2008, the short rate remained essentially unchanged at zero and the Fed instead began relying on unconventional monetary policies such as forward guidance and large-scale asset purchases. The effect of those policies should,
in principle, be captured by our approach.

4

	 Specifically, we use a structural vector autoregression (VAR) including the daily changes of the eight asset prices indicated
above with structural shocks partially identified using sign restrictions. The methodology builds on Zeno Enders,
Gernot J. Müller, and Almuth Scholl, 2011, “How do fiscal and technology shocks affect real exchange rates? New evidence
for the United States,” Journal of International Economics, Vol. 83, No. 1, January, pp. 53−69, and Troy Matheson and
Emil Stavrev, 2014, “News and monetary shocks at a high frequency: A simple approach,” International Monetary
Fund, working paper, No. 14/167, September. We restrict all intercepts in the VAR to be zero, other than those in the
stock market equations, reflecting the notion that interest and exchange rates should not have deterministic drifts.
Reported results are based on the means of the posterior distributions from 10,000 draws.

5

	 The price of West Texas Intermediate crude oil started to decline on June 7, 2014, and one year later was over 40% lower.

6

	 Note that there is some residual variation that is not explained by any of our shocks, so the shock contributions do
not sum to the total change in each period, and that the point estimates are subject to a considerable amount of
sampling uncertainty.

7

	 For example, if the reduction in oil price reflects a price adjustment to overcapacity in oil production built up over the
previous decade, as some market commentaries have argued, it would provide additional stimulus to the economy,
potentially offsetting the downward pressure on inflation and pushing up nominal yields. Conversely, if the lower oil
price resulted from investor pessimism about future global growth prospects and the associated demand for oil, nominal
yields would fall, reflecting both lower expected inflation and lower real yields. Our finding of a near-zero effect on
nominal yields would be consistent with supply forces being a more important factor behind the decline in oil price
in the second half of 2014.

8

Charles L. Evans, President; Daniel G. Sullivan, Executive
Vice President and Director of Research; David Marshall,
Senior Vice President and Associate Director of Research;
Spencer Krane, Senior Vice President and Senior Research
Advisor; Daniel Aaronson, Vice President, microeconomic
policy research; Jonas D. M. Fisher, Vice President, macroeconomic policy research; Robert Cox, Vice President, markets
team; Anna L. Paulson, Vice President, finance team;
William A. Testa, Vice President, regional programs, and
Economics Editor; Helen Koshy and Han Y. Choi, Editors;
Julia Baker, Production Editor; Sheila A. Mangler,
Editorial Assistant.
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Department of the Federal Reserve Bank of Chicago.
The views expressed are the authors’ and do not

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Bank of Chicago or the Federal Reserve System.
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