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Understanding Term Structure Of Interest Rates
Us treasury yield curve, outlook for the overall credit market.
- The Mystery of the 2020s' Treasury Yield Curve
Why Is the Term Structure of Interest Rates Helpful to Investors?
What are the factors affecting the term structure of interest rates, how does the yield curve reflect monetary policy conditions, which us treasury debt maturities are commonly used in yield curve analysis, the bottom line.
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Term Structure of Interest Rates Explained
Decoding the Yield Curve and What It Means for Investors and the US Economy
James Chen, CMT is an expert trader, investment adviser, and global market strategist.
- The term structure of interest rates, commonly known as the yield curve, depicts the interest rates of similar quality bonds at different maturities.
The term structure of interest rates maps out the relationship between interest rates and the time to maturity for a given debt instrument, typically government bonds. Commonly drawn as a yield curve, this seemingly simple concept belies an intricate interplay of economic forces, investor sentiment, and future expectations. Indeed, few metrics gained wider attention among investors in the 2020s than the yield curve.
From predicting recessions to guiding monetary policy , the yield curve's shape has become a crucial barometer of economic health and market sentiment. Below, we'll explore the term structure of interest rates, its components, common interpretations, and implications for the broader economy and your investing strategies. We'll also look at the structure of yields in the 2020s, which has managed to both panic and flummox economists and investors.
Key Takeaways
- This reflects the expectations of market participants about future changes in interest rates and their assessment of monetary policy conditions.
- The most common yield curve compares the three-month, two-year, five-year, 10-year, and 30-year U.S. Treasury debt.
- Normal yield curves slope upward, indicating higher yields for longer-term bonds, while inverted yield curves can signal potential economic downturns.
- However, experts have argued for some time this may no longer be the case and, by the mid-2020s, the decade had extended periods of negative yield curves without a recession.
Investopedia / Julie Bang
Essentially, the term structure of interest rates is the relationship between interest rates or bond yields and different terms or maturities. When graphed, the term structure of interest rates is known as the yield curve, and it plays a crucial role in identifying the state of the economy. The term structure of interest rates reflects the expectations of market participants about future changes in interest rates and their assessment of monetary policy conditions, as seen below.
As above, the most common yield curve depictions use rates from three-month, two-year, five-year, 10-year, and 30-year U.S. Treasurys. In general terms, yields should increase in line with maturity, giving rise to an upward-sloping, or normal, yield curve. The yield curve primarily illustrates the term structure of interest rates for standard U.S. government-issued securities. This is important to gauge the debt market's sentiments about economic risk.
The U.S. Treasury yield curve is considered the benchmark for the credit market because it reports the yields of risk-free fixed-income investments across a range of maturities. Yield curve rates are usually available at the U.S. Department of the Treasury's interest rate platform by 6 p.m. EST each trading day.
Banks and lenders use this benchmark in the credit market as a gauge for determining lending and savings rates. Yields along the U.S. Treasury yield curve are primarily affected by the U.S. Federal Reserve’s federal funds rate. Other yield curves can also be developed by comparing credit investments with similar risk characteristics.
Traditionally, the Treasury yield curve has most often been sloping upward. One basic explanation for this phenomenon is that investors demand higher interest rates for longer-term investments as compensation for investing their money in longer-duration investments.
The term structure of interest rates can have these shapes:
1. Upward Sloping or Normal Yield Curve
Long-term yields are higher than short-term yields . This is considered to be the "normal" slope of the yield curve and signals that the economy is expanding.
2. Downward Sloping or Inverted Yield Curve
Perhaps the most infamous, this indicates that short-term yields are higher than long-term yields. Dubbed an "inverted" yield curve, it has traditionally signified that the economy is in, or about to enter, a recession.
3. Flat Yield Curve
Here, there's very little variation between short and long-term yields. This signals that the market is unsure about the direction of the economy.
4. Steep Yield Curve
A steep yield curve occurs when long-term interest rates are significantly higher than short-term rates, resulting in an abruptly upward-sloping curve on a yield-to-maturity chart. This typically suggests there are expectations for strong economic growth, along with potential inflationary pressures (the more demand for goods as the economy grows, the more prices spike).
In such periods, investors demand higher yields on longer-term bonds to compensate for the increased risk of holding debt over extended periods.
5. Humped or Bell-Shaped Yield Curve
A humped or bell-shaped yield curve, also known as a barbell curve, is a less common configuration where medium-term yields are higher than both short-term and long-term yields. This unusual shape creates a "hump" in the middle of the curve, typically for bonds with maturities between two to five years. This pattern often reflects market uncertainty or conflicting economic signals—perhaps expectations of near-term interest rate increases followed by longer-term economic slowdown or deflation.
The humped yield curve can be mystifying for investors since it seems to disrupt traditional strategies based on normal or inverted curves. Financial analysts often interpret this shape as a transitional phase, potentially signaling a shift in economic conditions or monetary policy.
6. Double-Hump Yield Curve
A double-hump yield curve, also known as a camel curve, is relatively rare and typically reflects significant market uncertainty or diverging predictions about future economic conditions and interest rate movements.
The double-hump pattern might arise from a combination of short-term monetary policy actions, medium-term economic forecasts, and long-term structural factors. Interpreting a double-hump yield curve requires a subtle analysis of various economic indicators and market forces to understand why it's occurring.
The term structure of interest rates and the direction of the yield curve can be used to judge the overall credit market environment . A flattening of the yield curve means longer-term rates are falling compared with short-term rates, which could have implications for a recession. When short-term rates begin to exceed long-term rates, the yield curve is inverted, and a recession is likely occurring or approaching.
When longer-term rates fall below shorter-term rates, the outlook for credit over the long term is weak. This is often consistent with a weak or recessionary economy. No doubt, understanding the term structure is crucial for predicting economic conditions. Monitoring shifts can help investors and policymakers anticipate and respond to economic downturns effectively.
For instance, before the 2008 financial crisis, an inverted yield curve in 2006 signaled the impending recession. Although various factors, such as international demand for U.S. Treasurys, can cause an inverted yield curve, it has historically served as a dependable signal of economic downturns in the U.S.
The Mystery of the 2020s' Treasury Yield Curve
However, there are live questions about whether it remains a dependable economic indicator. During the early 2020s, long-term yields fell below short-term yields, creating an inverted yield curve that is generally regarded as a harbinger of recession . Yet, it remained negative even in periods when the economy was growing, unemployment remained relatively low, and inflation—while hair-raising at times—was trending downward.
Former U.S. Federal Reserve Chair Janet Yellen (later U.S. Treasury secretary), seeing the yield curve head toward zero (it would be briefly negative a year later), said in late 2017 that she thought it was time to rethink the relationship between the term structure of interest rates and recessionary pressures. "There is a strong correlation historically between yield curve inversions and recessions, but let me emphasize that correlation is not causation," she said. "I think that there are good reasons to think that the relationship between the slope of the yield curve and the business cycle may have changed."
Does an Inverted Yield Curve Still Signal a Recession?
She may have been right. In early 2020, the yield curve briefly inverted, signaling potential economic distress because of the COVID-19 pandemic. This was quickly followed, as we reported at the time , by a dramatic flattening as the Federal Reserve slashed interest rates to near zero and initiated extensive bond-buying programs to support the economy. The subsequent steepening of the yield curve in 2021 indicated growing optimism about economic recovery and rising inflation expectations since the economy was expected to rebound from the pandemic-induced recession.
However, 2022 was a year of calamities as inflation rose, supply chains knotted up, and the pandemic was still killing thousands each week, all prompting the Federal Reserve to tighten monetary policy. This caused short-term yields to rise faster than long-term yields, leading to a flatter yield curve with occasional inversions, particularly between the two-year and 10-year maturities. These inversions were closely watched as potential indicators of a future recession.
Throughout 2023, the yield curve remained volatile, with the Federal Reserve's rate hikes aimed at combating persistent inflation, resulting in further flattening and intermittent inversions. By the third quarter of 2024, it was still inverted, if flattening out a bit over 2023. Why was this so vexing during this period? This chart helps show why.
It helps investors predict future economic conditions and make informed decisions about long-term and short-term investments.
Factors include market expectations for inflation, future interest rates, monetary policy, and overall economic conditions.
The yield curve reflects market participants' expectations of central bank actions and overall monetary policy direction.
Commonly analyzed maturities include three-month, two-year, five-year, 10-year, and 30-year U.S. Treasury bonds. You can see those in the differently shaped yield curves in this article.
However, that only gives you the yield curve for a specific date. Some simplification is needed to look at the yield curve over time. The U.S. Federal Reserve and economists tend to take the yield for 10-year Treasurys, subtract the yield for two-year Treasurys, and then chart that difference over time. Once the difference is a negative number, you have a negative yield curve. That's how we've analyzed the periods of negative yield curves and recessions above.
The term structure of interest rates is certainly crucial for assessing economic health. It illustrates interest rates of bonds with similar credit quality across different maturities, reflecting market expectations for future interest rates and monetary policy. A common yield curve comparison of U.S. Treasury debt (ranging from three months to thirty years) traditionally has been said to offer vital insights into economic trends and potential recessions, guiding investors and policymakers in their decisions.
However, analysts at the U.S. Federal Reserve and elsewhere began arguing more vocally in the late 2010s that previous correlations between inverted yield curves and recessionary periods were perhaps no longer relevant. As the major indicators of economic health in the U.S. in the 2020s occurred while the yield curve was still negative into the mid-2020s, economists and investors were left to knock on wood and hope for the best while analyzing the potential for turbulence ahead.
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Theories of the Term Structure of Interest Rates
We discuss 5 different theories of the term structure of interest rates . Each of the different theories of the term structure has certain implications for the shape of the yield curve as well as the interpretation of forward rates. The five theories are the unbiased expectations theory, the local expectations theory, the liquidity preference theory, the segmented markets theory, and the preferred habitat theory.
Unbiased Expectations theory
The unbiased expectations theory or pure expectations theory argues that it is investors’ expectations of future interest rates that determine the shape of the interest rate term structure. Under this theory, forward rates are determined solely by expected future spot rates. This means that long-term interest rates are an unbiased predictor of future expected short-term rates.
An important implication of the pure expectations theory is that an investor will earn the same return over a certain period, regardless of the bonds he or she purchases. Thus, buying a 3-year bond an holding to maturity will earn the same as buying a 1-year bond and investing the proceeds after one year in a 2-year bond.
The implications for the term structure of interest rates are as follows:
- if the curve is upward sloping, short-term rates are expected to rise
- if the curve is downward sloping, short-term rates are expected to fall
- a flat curve indicates that short-term rates are expected to remain unchanged
Local expectations theory
The second theory is the local expectations theory . This theory is similar to the previous theory. There is is only one important difference. Risk-neutrality only holds for short holding periods. Over longer periods, risk premiums may exist.
The local expectations theory implies that over short holding periods, all investors will earn the risk-free rate. Empirical evidence rejects the local expectations theory. Even the short-holding-period returns for long-maturity bonds are higher than the short-holding-period returns for short-maturity bonds because of liquidity considerations.
The liquidity preference theory
The liquidity preference theory tries to address one of the shortcomings of the pure expectations theory. The theory argues that forward rates also reflect a liquidity premium to compensate investors for exposure to interest rate risk. This liquidity premium is said to be positively related to maturity.
An important implication of the liquidity preference theory is the fact that forward rates are expected to be biased because the market’s expectation of future rates includes a liquidity premium. A positively sloping yield curve may thus be the result of expectation that short-term rates will go up or simply because of a positive liquidity premium. The size of the liquidity premium may also be time-varying.
The segmented market theory
The segmented market theory argues that the term structure is not determined by either liquidity or expected spot rates. Instead, the shape of the yield curve is solely determined by the preference of borrowers and lenders. The yield curve at any maturity simply depends on the supply and demand for loans at that maturity. The yield at each maturity is independent of the yields at other maturities.
Preferred habitat theory
The final theory is the preferred habitat theory . This theory argues that forward rates represent expected future spot rates plus a premium. The preferred habitat theory argues that, if there are imbalances between supply and demand at a particular maturity, then investors are willing to shift habitat in exchange for a premium. Here too, supply and demand dictate interest rates. The only difference with the segmented market theory is that lenders and borrowers are willing to change maturity in exchange for a premium.
we discussed the 5 theories of the term structure of interest rates. While each of the theories has its merits, there is no consensus on which best explains the observed term structure.
The above topic is related to the following set of topics:
- Yield curve
- Hedge Fund Fee Structure
- Long Term Refinancing Operation
- Term and Reversion Approach
- Bootstrapping Spot Rates
- Alternative investments
- Behavioural Finance
- Equity valuation
- Finance basics
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Term Structure of Interest Rates
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The term structure of interest rates concerns the relationship among the yields of bonds that differ only with respect to their terms of maturity. This article explains the three traditional explanations of the term structure. (1) The expectations theory considers the long rate to be an average of current and future short rates. (2) The liquidity-preference theory posits that illiquid, risky long-terms bonds must yield a premium over expected short rates. (3) The hedging-pressure theory stresses the influence of the preferred habitats of different investors. A survey of empirical work on the term structure including affine yield models concludes.
This chapter was originally published in The New Palgrave Dictionary of Economics , 2nd edition, 2008. Edited by Steven N. Durlauf and Lawrence E. Blume
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Malkiel, B.G. (2008). Term Structure of Interest Rates. In: The New Palgrave Dictionary of Economics. Palgrave Macmillan, London. https://doi.org/10.1057/978-1-349-95121-5_1596-2
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The term structure of interest rates maps out the relationship between interest rates and the time to maturity for a given debt instrument, typically government bonds. Commonly drawn as a yield ...
the term structure. In Section 3, we derive and analyze a model which leads to a single factor description of the term structure. Section 4 shows how this model can be applied to other related securities such as options on bonds. In Section 5, we compare our general equilibrium approach with an alternative approach based purely on arbitrage.
Expectations Hypothesis (Continued) Term Structure of Interest Rates Expectations Hypothesis (Continued) Theory development - Investment problem: invest for two years - Two investment strategies Economics of Capital Markets Version 1.0 Outline Page 12 Term Structure of Interest Rates Expectations Hypothesis (Continued) Term Structure of ...
The segmented market theory. The segmented market theory argues that the term structure is not determined by either liquidity or expected spot rates. Instead, the shape of the yield curve is solely determined by the preference of borrowers and lenders. The yield curve at any maturity simply depends on the supply and demand for loans at that maturity.
IT IS THE THESIS of this investigation that the term structure of interest rates can be explained better by a combination of the expectations and liquidity preference hypotheses than by either hypothesis alone. Alternatively, these two hypotheses can be viewed as complementary explanations of the same phenomenon—the term structure of interest ...
Term Structure Models 1.Zero-coupon bond prices and yields 2.Vasicek model 3.Cox-Ingersoll-Ross model ... Cox, J., J. Ingersoll, and S. Ross, 1985, A theory of the term structure of interest rates,Econometrica53, 385-407. Longsta↵, F., and E. Schwartz, 1992, Interest rate volatility and the term structure:
The term structure of interest rates concerns the relationship among the yields of bonds that differ only with respect to their terms of maturity. This article explains the three traditional explanations of the term structure. (1) The expectations theory considers the long rate to be an average of current and future short rates.
(by definition), the absence of arbitrage opportuni-ties implies the existence of a (strictly positive) state-price deflator. In a finance model of asset prices, there is no need to go any deeper. Indeed, the article will set up, solve, and calibrate a model of the term structure without any knowledge of, for example, how the nominal
1.2 Theories of the Term Structure 1.2.1 The Expectations Theory • The expectations theory states that forward rates are unbiased estimators of future interest rates, or Forward Rates = Expected Future Spot Rates (f= re). • In terms of the previous example, where it was calculated that the forward
succeeds in describing the link between expectations and the term structure and those along which it does not, thus providing a better sense of the utility of this benchmark. Following Sargent (1979) and Campbell and Shiller (1987), we focus on linear versions of the expectations theory and linear forecasting models of