Why Are Long-Term Interest Rates So Low?

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Michael D. Bauer and Glenn D. Rudebusch

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FRBSF Economic Letter 2016-36 | December 5, 2016

Despite recent increases, long-term interest rates remain close to their historical lows. A variety of structural factors, notably slower productivity growth and a surplus of global saving, likely have lowered expectations of steady-state interest rates and pushed down long-term yields through the expectations component. In addition, accommodative monetary policy in the United States and abroad appears to have lowered the term premium on long-term bonds.


Last summer, the interest rate on the 10-year Treasury security fell to a new historic low of 1.37%. Despite moving
up in recent months, long-term Treasury yields remain very low by historical standards. Figure 1 shows the evolution
of 10-year interest rates in the United States and abroad. Understanding why interest rates are low can shed some
light on their likely future course as well as on the broader outlook for the U.S. economy. For example, long-term
rates could be low because investors have a gloomy economic outlook and anticipate low rates of inflation and output
growth to persist. On the other hand, to the extent that foreign monetary policy or strong demand for Treasuries from
abroad have pushed down long-term rates, the low rates may be more temporary but the associated accommodative
financial conditions could help boost aggregate demand and imply a more positive outlook for our economy.

Figure 1
Ten-year sovereign bond yields

Ten-year sovereign bond yields

To understand why rates are low, it is useful to consider the two key components of long-term interest rates. The
first is the average of expected future short-term interest rates—the “expectations component.” The second component
is the “term premium,” which includes compensation to investors for the risk of holding long-term bonds but is also a
catch-all for other factors beyond the expectations component that affect long-term rates. This Economic
Letter
examines some of the factors underlying each of these two components in order to gauge the main drivers
of recent low rates. The evidence suggests that both the expectations component and the term premium have played
important roles in holding down long-term yields and that these factors seem unlikely to reverse course much more in
the near term.

Expectations and the neutral interest rate

The expectations component of, say, a 10-year interest rate is the average of expected short rates over the next 10
years. Model-based estimates suggest that a declining expectations component played an important role in explaining
the downward trend in long-term Treasury yields since the 1980s (Bauer and Rudebusch 2013). To understand movements in
the expectations component, it is useful to separate nearer-term expectations, such as investor expectations for the
Federal Reserve’s policy rate for the next few years, from longer-run expectations, which can be particularly
influential in the case of a 10-year interest rate.

The longer-run expectations are determined by the perceived level of the “neutral” nominal interest rate—the rate
consistent with an economy that has returned to its long-run growth trend and inflation target. This neutral rate
appears to have shifted lower in recent years. For example, in the September 2016 release of the Fed’s Summary of
Economic Projections (SEP), the median projection of the long-run federal funds rate was 2.9%, which is well below the
median SEP projection of 4.25% in early 2012.

Why has the neutral interest rate declined? This rate is the sum of long-run inflation expectations and the neutral
real, or inflation-adjusted, interest rate. Surveys of forecasters show that long-run expectations of inflation have
been stable for the past decade at 2%, the long-run target set by the Fed. Therefore, the decline in the longer-run
expectations component was driven mainly by a lower neutral real rate. The neutral real rate, also referred to as
natural or equilibrium rate of interest, is difficult to pin down precisely, but three estimates are shown in Figure
2. These are based on three alternative statistical models by Laubach and Williams (2015), Lubik and Mathes (2015),
and Johannsen and Mertens (2016). While the estimates differ over time, on average, they have decreased by about 2
percentage points over the past 15 years. This decline in the neutral real rate appears to have contributed
substantially to the decrease in long-term nominal interest rates.

Figure 2
Estimates of the neutral real interest rate

Estimates of the neutral real interest rate

The drop in the neutral real rate likely reflects a number of structural factors (Fischer 2016). First, the trend
rate of U.S. economic growth has slowed significantly due to lower trend productivity and population growth (Fernald
2016). In general, economic theory links the neutral real rate to the trend growth rate of output, so slower trend
growth should translate into lower long-term interest rates, although the empirical evidence is not definitive (Leduc
and Rudebusch 2014). Second, a surplus of global saving, in particular from export-based emerging market economies,
may have also lowered the neutral real rate (Bernanke 2005). Third, demographic factors, in particular an aging
population, tend to increase the supply of saving and are likely to have pushed down the neutral real rate (Rachel and
Smith 2015). These and other structural forces holding down the neutral real rate are generally slow moving.
Therefore, the neutral interest rate, and with it the expectations component in long-run interest rates, is likely to
remain depressed for some time to come. This observation has prompted Williams (2016) and others to speak of a “new
normal” for interest rates that is persistently low.

The term premium and monetary policy

The term premium component of long-term interest rates also declined substantially in recent years. Figure 3 shows
three alternative estimates of the term premium in the 10-year Treasury yield, based on the statistical models of
Adrian, Crump, and Moench (2013), Kim and Wright (2005), and Christensen and Rudebusch (2012). These models
incorporate information from the historical behavior of interest rates and, in some cases, from forecast surveys. The
differences among the individual model estimates at any point in time suggest how difficult it is to pin down the term
premium. Still, all three estimates moved lower, especially since the financial crisis in 2008. This is consistent
with the standard view that term premium movements are mostly cyclical as risk premiums decline during expansions and
rise during recessions.

Figure 3
Estimates of the term premium in 10-year Treasury yield

Estimates of the term premium in 10-year Treasury yield

All three term premium estimates have turned negative this year. From a theoretical perspective, usually when
investors worry about inflation risk, they require additional compensation for holding nominal bonds and the term
premium is positive. But when low inflation or even deflation is an important concern, bonds can be viewed as an
insurance against this risk, resulting in a negative term premium (Campbell, Sunderam, and Viceira 2013).

Several factors may have contributed to the low level of the term premium. Domestically, the Fed’s quantitative
easing after the financial crisis reduced the supply of longer-term bonds available to the market, which lowered the
term premium (Bauer and Rudebusch 2014). This downward pressure on the term premium appears likely to continue for
several more years.

Developments abroad have also affected the U.S. term premium. During times of increased global uncertainty and
financial market volatility, foreign investors often prefer U.S. Treasury securities as a safe haven, pushing up their
prices and lowering the term premium. For example, earlier this year, uncertainty around the United Kingdom’s
referendum to leave the European Union, known as Brexit, led to such a flight-to-safety demand and notable declines in
yields. Still, given recent positive returns in many global stock markets, it is unlikely that a shift from risky
assets toward safer ones is the whole story. Instead, both falling yields and rising stock prices may reflect the
accommodative monetary policies by the Bank of England, the European Central Bank, and the Bank of Japan, which aim to
offset stagnant output growth and subdued inflation. The associated extremely low interest rates in those areas pushed
investors in search of higher yields to U.S. Treasuries. Partly as a result, U.S. yields have followed foreign yields
in moving lower, as shown in Figure 1. Indeed, the New York Fed’s Survey of Primary Dealers in July cited “spillovers
from low/declining yields abroad” as the most important factor for declines in long-term Treasury yields early this
year. Thus, the divergence between tighter Fed policy and the continued easing by foreign central banks is an
important factor contributing to low U.S. interest rates. As this policy divergence persists, it is likely to weigh on
U.S. long-term interest rates for some time.

Conclusion

Evidence points to a substantial decline in expectations of future short-term interest rates and also a reduced term
premium as contributing to recent low long-term Treasury yields. The apparent decline in the neutral real rate, which
is driven by persistent structural factors, suggests a low new normal for interest rates. Similarly, the term premium
appears to have fallen significantly in recent years and seems unlikely to reverse course much in the near term as
very accommodative monetary policy continues abroad. Therefore, while the ongoing economic recovery and normalization
of monetary policy in the United States should lead to some increases in long-term interest rates, these seem likely
to be fairly moderate for the foreseeable future. The implication for the U.S. economy is that, although trend growth
and the neutral interest rate are low, the compression of the term premium by monetary policy here and abroad should
stimulate aggregate demand and support a continued healthy recovery.

Michael D. Bauer is a senior
economist in the Economic Research Department of the Federal Reserve Bank of San Francisco.

Glenn D. Rudebusch is director of research and executive vice president in the Economic Research Department of the
Federal Reserve Bank of San Francisco.

References

Adrian, Tobias, Richard K. Crump, and Emanuel Moench. 2013. “Pricing the Term Structure with Linear Regressions.”
Journal of Financial Economics 110(1, October), pp. 110–138.

Bauer, Michael D., and Glenn D. Rudebusch. 2013. “What
Caused the Decline in Long-Term Yields?”
FRBSF Economic Letter 2013-19 (July 8).

Bauer, Michael D., and Glenn D. Rudebusch. 2014. “The Signaling
Channel for Federal Reserve Bond Purchases.”
International Journal of Central Banking 10(3, September),
pp. 233–289.

Bernanke, Ben. 2005. “The
Global Saving Glut and the U.S. Current Account Deficit.”
Remarks at the Sandridge Lecture, Virginia Association
of Economists, Richmond, VA, March 10.

Campbell, John Y., Adi Sunderam, and Luis M. Viceira. 2016. “Inflation
Bets or Deflation Hedges? The Changing Risks of Nominal Bonds.”
Working Paper, Harvard University, forthcoming
in Critical Finance Review.

Christensen, Jens H.E., and Glenn D. Rudebusch. 2012. “The Response of Interest Rates
to U.S. and U.K. Quantitative Easing.”
Economic Journal 122, pp. F385–F414.

Fernald, John G. 2016. “Reassessing Longer-Run
U.S. Growth: How Low?”
FRB San Francisco Working Paper 2016-18.

Fischer, Stanley. 2016. “Why Are
Interest Rates So Low? Causes and Implications?”
Speech at the Economic Club of New York, October 17.

Johannsen, Benjamin K., and Elmar Mertens. 2016. “The
Expected Real Interest Rate in the Long Run: Time Series Evidence with the Effective Lower Bound.”
FEDS
Notes
, Board of Governors of the Federal Reserve System, February 9.

Kim, Don H., and Jonathan H. Wright. 2005. “An Arbitrage-Free Three-Factor Term
Structure Model and the Recent Behavior of Long-Term Yields and Distant-Horizon Forward Rates.”
Finance and
Economics Discussion Series Paper 2005-33, Board of Governors of the Federal Reserve System.

Laubach, Thomas, and John C. Williams. 2015. “Measuring the Natural Rate of Interest
Redux.”
FRB San Francisco Working Paper 2015-16.

Leduc, Sylvain, and Glenn Rudebusch. 2014. “Does
Slower Growth Imply Lower Interest Rates?”
FRBSF Economic Letter 2014-33 (November 10).

Lubik, Thomas, and Christian Matthes. 2015. “Calculating the Natural Rate
of Interest: A Comparison of Two Alternative Approaches.”
FRB Richmond Economic Brief 15-10 (October
15).

Rachel, Lukasz, and Thomas D. Smith. 2015. “Secular Drivers of the Global
Real Interest Rate.”
Bank of England Staff Working Paper 571, December 11.

Williams, John C. 2016. “Monetary
Policy in a Low R-star World.”
FRBSF Economic Letter 2016-23 (August 15).

Opinions expressed in FRBSF Economic Letter do not necessarily reflect the views of the management of the Federal Reserve Bank of San Francisco or of the Board of Governors of the Federal Reserve System. This publication is edited by Anita Todd and Karen Barnes. Permission to reprint portions of articles or whole articles must be obtained in writing. Please send editorial comments and requests for reprint permission to research.library@sf.frb.org