Term Structure of Interest Rates
What is Term Structure of Interest Rates?
The term structure of interest rates is the relationship between bond yields and their time to maturity, visualized as the yield curve.
It shows how interest rates vary across short-, medium-, and long-term bonds of equal credit quality. Under the expectations theory, long-term rates reflect today's and expected future short-term rates, so an upward-sloping curve signals expected rate increases (often growth) and a downward-sloping (inverted) curve signals expected rate cuts (often recession). It is the analytical backbone of the yield curve.
Term Structure of Interest Rates: a worked example
Suppose the one-year rate is 3% today and the market expects it to be 5% next year and 7% the year after. Expectations theory compounds them: the two-year yield is (1.03 x 1.05) raised to the power 1/2, minus 1, which is about 4.0%, and the three-year yield is (1.03 x 1.05 x 1.07) raised to the power 1/3, minus 1, about 5.0%. The curve reads 3%, 4%, 5% and slopes upward. Flip the expectations to 7%, then 5%, then 3%, and the same arithmetic gives 7%, 6% and 5%: an inverted curve built from identical numbers in the opposite order.
The mistake students make with term structure of interest rates
The usual misreading is that the central bank sets the whole curve, so an inversion must mean the bank pushed long rates down. Policy controls only the very short end; longer yields are averages of expected future short rates plus a term premium, set by traders. An inverted curve is therefore the market forecasting cuts, which normally means it expects weakness ahead. The mistake sticks because rate decisions dominate the headlines, making every point on the curve look like one committee's choice.
Term Structure of Interest Rates questions
What does an inverted yield curve mean?
An inverted yield curve means short-term bonds yield more than long-term bonds of the same credit quality. Under expectations theory that happens when markets expect short-term rates to fall, which usually implies they expect the central bank to cut in response to a slowdown. The inversion is a forecast made by bond buyers rather than a cause of weakness, and the timing it points to is imprecise.
What is the difference between the term structure and the yield curve?
The term structure is the underlying relationship between yield and maturity; the yield curve is the picture of it, with maturity on the horizontal axis and yield on the vertical. Both require bonds of the same credit quality, which is why the curve is normally drawn from government securities. Plotting a corporate bond alongside a government bond mixes in a default premium and no longer describes term structure alone.
Why are long-term interest rates usually higher than short-term rates?
Long-term rates usually exceed short-term rates for two reasons. Markets often expect short rates to rise, and under expectations theory the long rate averages those expectations. Lenders also demand a term premium for locking money away, since a long bond loses far more value if rates rise unexpectedly. Together these produce the normal upward slope, and it takes a strong expectation of falling rates to invert it.
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