Everything you need to know about yield curves

Charles Edwards
Capriole
Published in
8 min readOct 28, 2022

An analysis of 150-years of yield curve inversions and why they are a great forecasting tool.

In this article we will cover:

  • What a yield curve is
  • Why they have been great predicters of recessions
  • Why they have been even better predicters of stock market losses
  • Why we may have seen the bottom in the S&P500 in 2022
  • Why the US yield curve probably won’t matter very soon

What on earth is a yield curve?

Yield curve inversions have preceded every recession since 1956. You should understand them. The information in a yield curve is invaluable to the long-term investor.

A yield curve is a plot of the difference between interest rates on government bonds with varying maturities (expiration dates).

For example, the 1–10 year US Treasury yield curve is calculated as the interest rate on the 10-year bond minus the interest rate on the 1-year bond.

Simple enough.

60 years of the 1–10 US Treasury yield curve vs S&P 500. The Red lines are yield curve inversions and the gray lines are official US recessions. Source: Capriole Investments (free indicator on TradingView)

Reading the tea leaves

Yield Curves normally “slope upwards” (common terminology for being greater than zero on the above chart). This means interest rates on long-term bonds are greater than interest rates on short-term bonds. This makes intuitive sense. Most people expect to earn higher interest if they are locking capital up in an investment for a longer period of time.

When the yield curve inverts, the 1-year rates are more than the 10-year rates which suggests something is wrong. At the late end of the business cycle, risk asset valuations (e.g. P/E multiples) rise substantially and the future expected returns on risk assets decays. Risk assets therefore become riskier and long-term bonds become relatively more attractive. Bond buying demand raises bond prices, and in turn reduces their yield (the interest rates earnt until maturity). At this point, there is general concern about the health of the economy, and investors expect short-term rates will have to come down to support investment in risk assets and general economic growth. This is exactly where we are in 2022.

A leading indicator of recession

The 1–10 yield curve has inverted before every recession since 1955, with a recession following on average 23 months later (15 months if you exclude the outliers in the 1980s).

However, an inversion doesn’t mean that markets immediately go down. As shown below on the 2–10 yield curve, double digit returns are not uncommon in the 6–12 months following a 2–10 inversion event.

2–10 US Treasury yield curve inversions usually see equities rally for up to a year, followed by a larger move down. Source: Capriole Investments

This is exactly why it’s important to understand the long-term statistics behind whichever yield curve you choose to use. The 1–10 and 2–10 are both great. The following stats should help.

What are the implications of a yield curve inversion?

We analyzed all 1–10 yield curve inversions for the last century.

Of these 25 inversions, we looked at the the maximum loss (downdraw) and maximum gain (return) of the S&P 500 from each yield curve inversion, to its next yield curve inversion. All data was assessed on a monthly basis. The stats are summarized in the below table.

Yield curve inversions are a good forecaster for negative S&P 500 returns. The maximum loss occurs on average 8 months later, a recession occurs on average 23 months later and the maximum gain follows at month 28.

1–10 year US Treasury yield curve inversion statistics. Source: Capriole Investments

What about the really long-term?

If we go back further than a century, the usefulness of the yield curve in predicting recessions and stock returns becomes a lot more ambiguous.

150 years of the 1–10 US Treasury yield curve. Source: Long-Term-Trends

Out of the last 150 years, the 1–10 yield curve was effectively always inverted for the first 60 years from 1870 through 1930. In the following 40 years the opposite occurred and the yield curve almost never inverted.

What might explain this? There are a few factors to consider, including the consistent devaluation of the US Dollar, which culminated in the end of the Gold Standard in 1971.

The bigger factor is the reserve status of the US Dollar (USD). Since the 1920s, the USD has broadly been considered the reserve currency of the world. This just means it is held in large quantities globally and is the standard currency in most major international trade.

500-years of global empires and reserve asset statuses. The most powerful empire historically holds reserve currency status. Source: Ray Dalio

The timing of the US empires rise to dominance, and the USD reserve currency status, bares an interesting relationship with the US yield curve. Once the USD achieved reserve status, it held perceived long-term value. From that point, the yield curve spent most of its time above zero.

Once the US Dollar achieved reserve currency status, the yield curve was mostly positive, with inversions being the outliers.

Before the USD achieved reserve status, the yield curve was mostly inverted. This is likely a reflection of the market having less faith in the USD and the economic situation in the US prior to the 1920s and pricing this into bonds.

While this long distant, historic data may not seem relevant today consider that:

  1. yield curve inversions signal roughly every three years and therefore have very limited data points to assess. This makes more historical data relevant to consider.
  2. empires, and reserve currency status, typically only lasts 80–100 years. The timing and data suggests that the US is at high risk of losing both these statuses today (you can read more about that in Dalio’s book).

With each subsequent yield curve inversion from here onwards, and provided that US global dominance continues to decline, we should be open minded to the fact that yield curve inversions may become more persistent and may not be as useful for forecasting as they once were.

Yield curves hold less information on weaker currencies and declining empires. Further, the USD is not just at risk from competing global empires like China and India, but also from alternative hard currencies; like Bitcoin.

Summary

When Yield curves invert, it makes sense to be on high-alert. It may be wise to reduce risk asset allocations, or at least manage risk more closely. Remember that a holistic strategy should consider multiple datapoints, not just bond data. Whatever your individual system is, yield curve data adds a valid confluence point to consider.

As of writing, the maximum loss on the S&P 500 is -15.8% since the 1–10 yield curve inversion in August 2022, with a peak-to-trough downdraw of -27%. This loss is more than the 100-year average (-11%). This suggests we may have seen the bottom in stocks for this inversion cycle already, leaving us with a positive skew in risk-reward outcomes for the next 2 years from here. Nonetheless, given only 3 months have elapsed since the inversion we should be openminded to a variety of outcomes over the next year.

Finally, be on the look out for emerging powers and competition to the US Dollar over the coming decade. Declining USD relevance would suggest lessened value in monitoring US yield curves going forward.

Disclaimer

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Charles Edwards
Capriole

Digital asset management | Quantitative autonomous algo-trading. Follow me on Twitter: @caprioleio