The compression of the premia
Four independent fee streams, measured separately, falling by the same order of magnitude on the same dates.
The question: If this market's premia are being arbitraged away, can it be seen? And when did it happen?
What was found
It's the project's most general finding and the one that best explains all the others. The basis carry, the cross-exchange spread and the variance premium are three independent measurements, in different units, made with different data. All three compressed by between 3.4 and 5.6 times between 2020-2021 and today, and all three did it at the same moment: 2021-2022. Three independent measures falling in the same proportion aren't three coincidences: it's capital arriving and competing the payments down. And since then they've been flat at a low level rather than still falling — which is exactly the shape of a market finishing its maturation. The quarterly basis of expiring futures, measured later and with a different instrument, is the fourth premium with the same profile.
Try it yourself
Set a 2021 premium and today's, and look at the compression factor — the quantity that turned out to be the same for three independent measures.
Percentage of what it used to be:
Illustrative example numbers for practice — not real data.
How it was tested, step by step
- Each premium is measured separately and in its own units: the basis carry as an annual percentage, the cross-exchange spread as an annual percentage, and the variance premium in volatility points.
- They're grouped into three eras (2020-2021, 2022-2023, 2024-2026) and each is indexed to its own starting level. Comparing quantities in different units is only legitimate this way: what's compared is the RATE of decline, not the level.
- Two of the four turn out to be unreachable today not because they're small but because they're frictional. The cross-exchange spread changes sign between 130 and 153 times a year, not 52 as had been assumed without checking: at 2 basis points a leg the fees are 10-12% a year against a 3.60% gross.
| Period | Basis carry | Cross-exchange spread | Variance premium |
|---|---|---|---|
| 2020-2021 | 23.91% | 19.93% | +21.78 pts |
| 2022-2023 | 6.00% | 4.67% | +10.36 pts |
| 2024-2026 | 7.05% | 3.54% | +6.13 pts |
Compression of 3.4x / 5.6x / 3.6x. The variance premium is the only one still clearly above zero.