You are here
Home > Education > Finance 101 > Understanding the Yield Curve

Understanding the Yield Curve

What is Yield?

Yield (also called Yield To Maturity, or YTM) is the return investors receive for holding a bond. Yield takes account of both the interest/coupons investors get and the bond price relative to its par value.

What are Treasuries?

US Treasuries are debt instruments the US Department of the Treasury issues to finance government spending. Known as Treasury bills, notes, bonds, or TIPS, Treasuries are one of the safest assets in the world. The very low likelihood of default also means that it is one of the lowest yielding fixed income instruments. The yield (and price) of Treasuries at different terms can be found on Bloomberg.

What is the Yield Curve?

The yield curve is the yields of bonds with the same risk plotted over its different maturities. The most common yield curve is the Treasuries yield curve, with the yield of Treasuries plotted against its maturities (ranging from 1 month to 30 years).

The yield on the short end of the curve is strongly correlated with the effective federal funds rate, especially anything shorter than 6 months. The strength of correlation stems from the comparable quality between the two debt instruments. Between 1997 and 2007, the correlation coefficient of the 6-month Treasury and the federal funds rate is 0.99, which means that they almost perfectly track each other.

Source: Federal Reserve Bank of San Francisco

The yield on the long end of the curve is also correlated with the federal funds rate, but the correlation is significantly weaker. In the same time frame, the 10-year Treasury has a correlation coefficient of 0.73, much lower than that of the 6-month Treasury. The weaker correlation can be explained by the other factors (beyond current the federal funds rate) that influences long-term Treasuries.

Source: Federal Reserve Bank of San Francisco

Yield on long-term Treasuries is composed of 2 parts: expectation and the term premium.

Expectation, sometimes called Pure Expectation Theory, states that long-term interest rate is the average of the future short-term interest rates. For example, a 1-year Treasury can be thought of as two 6-month Treasuries or four 3-month Treasuries. Disregarding term premium, the yield on these bonds should equal, otherwise there is opportunity for arbitrage.

For longer-term rates, expectation of near-term federal funds rate is used in conjunction with the perceived long-run neutral nominal rate. Expected inflation is a big component of the long-run neutral nominal rate, higher expected inflation increases neutral nominal rate and long-term rates. The chart below shows long-run neutral nominal rate estimated by 3 different models.

Source: Federal Reserve Bank of San Francisco

The term premium is a catch-all for all the other factors that goes into the long-term yield. Two common theories could explain the term premium: Liquidity Preference Theory and the Preferred Habitat Theory.

Liquidity Preference Theory states that investors will prefer liquid assets over illiquid ones. This means all things equal, short-term bonds will be preferred, thus investors will demand a premium (higher yield) for long-term bonds.

Preferred Habitat Theory states that different investors will prefer assets of different maturities, depending on the habitat they are operating in. For example, pension managers may want to match their assets to their liabilities. This means that bonds with different maturities have their own supply and demand curves, therefore the prices are independent of each other.

The Shape of the Yield Curve

The shape of yield curve can be described as upward sloping, downward sloping, or flat. The yield curve is typically upward sloping, meaning longer maturities have a higher yield compared to shorter maturities. This is normal as it accounts for the premium demanded for the risks associated with time. For example, if inflation unexpectedly picks up, longer-term bonds will suffer more than shorter-term bonds. Occasionally, the yield curve can flatten or invert into a downwards slope.

Rather than calculating the actual slope (first derivative) of the yield curve, the difference between the 10-year and the 2-year yield (also known as the term spread) is often used to describe the slope.  A positive difference describes an upward slope, while a negative difference a downward slope.

Why is the Yield Curve Important?

Downward sloping yield curve (or negative term spread) is seen as a leading indicator of a recession. The reasons for the correlation are manifold. First, as the yield curve is composed of expected federal funds rate and expected inflation, lower long term yield could indicate lower expected inflation or deflation. Deflation and recessions go hand in hand as deflation is often a result of a contraction in aggregate demand. Second, a flatter yield curve means banks are less profitable in their lending business, as banks borrow short-term to lend long-term. As banks become less incentivized to lend, credit supply tightens and borrowing becomes more difficult, leading to slower money and economic activity. Third, investors pay attention to the yield curve. If the yield curve inverts, investors may shift to higher quality assets in anticipation for the recession. This may become a self fulfilling prophecy, where flight from risk assets increases cost of capital and makes it harder for companies to borrow.

Source: Federal Reserve Bank of San Francisco

Quantitatively, the correlation between negative term spread (or downward sloping yield curve) and recessions is high. In fact, since 1955 every instance of negative term spread has preceded a recession (9 in total) by less than 2 years. There was only one false positive, where the yield curve inverted in the mid 1960s but was not immediately followed by a recession.

What is the Current Yield Curve?

Data Source: US Treasury

The current yield curve is relatively flat compared to historical yield curves, and it is still flattening. Whether or not it predicts an economic slowdown is hotly contested. There are two main camps — one that believes its historical predictive power remains relevant, and one that believes this time is different. The latter camp (includes Ben Bernanke) argues that the flattening yield curve is not due to a negative outlook on the economy, but a confluence of exceptional circumstances. One, quantitative easing from the Fed created significant demand for long-term fixed income assets, depressing yield on the long end. Two, quantitative easing from the other central banks (specifically ECB, BoE and BoJ) depressed yield on their respective risk-free instruments. Fund managers in those countries seeking yield are more likely to buy US fixed income, further depressing yield on the long end. Three, uncertainty in world events, like North Korea, Brexit, or the Trade War pushes investors towards quality, further depressing long-term Treasury yields. Fourth, normalization of monetary policy, specifically the tapering of federal funds rates pushes up yield on the short end. The latter camp argues t these circumstances are not necessarily indicators of a recession.

Common Terminology

  • Steepening
  • Flattening
  • Upward Sloping
  • Downward Sloping
  • Inversion
  • Humped

References:

Finance 101APV Method: Adjusted Present Value Analysis · Introduction to Capital Structure · Value Capture Model · Understanding Porter’s Five Forces · Modern Portfolio Theory and the Capital Allocation Line · M&A Deal Case Study · Introduction to Enterprise Value and Valuation · Option Contracts and Put Call Parity · Fama French and Multi Factor Models · Capital Budgeting Methods · Bond Valuation and Arbitrage · CAPM – Capital Asset Pricing Model · Inflation and Interest · Annuities and Perpetuities · Net Present Value ·
Accounting 101Accounting Estimates: Managing Earnings · Accounting Estimates: Recognizing Assets · Accounting Estimates: Recognizing Expenses · Accounting Estimates: Recognizing Revenue · Analyzing Financial Statements and Ratios · Understanding the Three Financial Statements ·
Economics 101Economic Calendar · Understanding Market Structure — Perfect Competition, Monopoly and Monopolistic Competition · Marginal Costs and Marginal Revenue · Central Banks and Monetary Policy: The Federal Reserve · Understanding Supply and Demand ·
Statistics 101Statistical Inference and Hypothesis Testing · Multivariate Regression and Interpreting Regression Results · Correlation, Covariance and Linear Regression ·

Leave a Reply

Top