Curriculum·J303 Liquidity Provision and Impermanent Loss·about 42 min

The breakeven calculation

By the end of this lesson you can

  • Convert an advertised fee yield into the price band over which the position breaks even
  • Show why staying inside that band is necessary but not sufficient
  • Decompose an advertised APR into the disclosures it omits
  • Evaluate an impermanent loss protection offer as a discretionary backstop

Junior · enrolled learners

This lesson opens with Bancor's impermanent loss protection, 19 June 2022.

What happened
Bancor had marketed impermanent loss protection as a distinguishing feature, undertaking to compensate liquidity providers for divergence loss out of protocol resources. On 19 June 2022 it paused the feature, citing hostile market conditions and manipulative behavior, and stated that the pause was temporary and that protection would resume as markets stabilised. Withdrawals made during the paused period were not eligible for protection. The protocol attributed rising costs partly to the insolvency of two large centralized companies that had been liquidity providers in Bancor v2.1 and were liquidating their positions. Bancor was later sued over the representations it had made about the feature.
The decision point
The feature existed to make the calculation in this lesson unnecessary, and it was withdrawn in the week that the calculation mattered most. Note the structure rather than the conduct: protection funded from a protocol treasury is a promise by a counterparty, per F102, and a promise whose cost rises exactly when it is claimed is one whose provider is least able to honor it precisely then. Liquidity providers who withdrew during the pause forfeited the protection, and those who stayed in kept an exposure they had believed was hedged.

What you will be able to answer

  • How do you turn a fee yield into a price band?
  • Why is the band necessary but not sufficient?
  • What does an advertised pool APR omit?
  • What is impermanent loss protection?

Orientation and Year One are open: anyone can read them without an account. From Year Two onward the lessons are for enrolled learners, because progress through the later years only means anything if it is tracked against a record.

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Terms used here

Sources and review

Confidence high·Volatility medium·Reviewed 2026-08-06·Owner unassigned

Contested

Bancor described the pause as temporary and stated that user funds were secure and trading continued. This lesson takes no position on the litigation and does not claim the representations were made in bad faith. The structural point about a treasury-funded promise applies to every such offer regardless of who makes it.

The breakeven band is computed from the constant product impermanent loss formula with simple rather than compounded fee accrual and no gas. Both simplifications make the band look wider than it is, so the figure is an optimistic bound.