The Yield Curve: A Window Into Economic Health

What is a Yield Curve?

A yield curve represents the relationship between bond yields and their time to maturity. It typically plots the yield of bonds with similar credit quality but different maturities on a graph, where the x-axis shows the time until maturity (in years) and the y-axis shows the interest rate (yield).

The shape of the yield curve can be normal (upward sloping), flat, or inverted (downward sloping), each indicating different economic conditions and expectations.

The Nelson-Siegel Model

Developed by Andrew G. Nelson and later refined by Scott Siegel, the Nelson-Siegel model is a mathematical representation that captures the term structure of interest rates with just four parameters: level, slope, curvature, and decay.

This model simplifies complex yield curves into a linear combination of exponential functions, making it easier to understand and manipulate.

Why Does the Yield Curve Matter?

The shape of the yield curve is closely watched by economists and investors as it can provide insights into future economic growth. A normal curve suggests expectations for steady economic growth, while an inverted curve often precedes recessions.

Central banks also use the yield curve to gauge market sentiment towards monetary policy decisions.

Real-World Examples

In 2019, the U.S. yield curve briefly inverted for the first time since 2007, leading many economists to predict a recession in the following year.

During the 2008 financial crisis, the yield curve inverted significantly, serving as an early warning signal of the impending economic downturn.

Frequently asked questions

Try it live

Everything above runs in your browser — open Yield Curve Explorer: Term Structure of Interest Rates and change the parameters while it is running. Nothing is installed, nothing is uploaded, the whole model lives in one tab.