Curriculum·R402 Margin and Liquidation Mathematics·about 42 min

The reframe: leverage is not risk

By the end of this lesson you can

  • State what actually determines the loss on a trade, and why the multiplier is not in it
  • Compute two positions with identical risk at very different leverage
  • Show a case where the lower-leverage position loses six times as much
  • Explain the one thing leverage genuinely decides, which is who closes the position

Senior · enrolled learners

This lesson opens with 19 May 2021.

What happened
On 19 May 2021 the market fell sharply following Tesla's reversal on accepting bitcoin for payment and a renewed Chinese regulatory move against crypto activity. More than $8B of leveraged positions were liquidated within 24 hours and more than 800,000 accounts were closed out, with bitcoin contracts accounting for around half of the total. By quantity it remains among the largest liquidation days recorded, at about 79,244 BTC. The accounts closed spanned the full range of leverage settings the venues offered, from the highest tiers to the low ones, because the move was larger than the buffer at almost any setting.
The decision point
The population of liquidated accounts is the argument. If leverage were risk, the low-leverage accounts would have survived and they did not, because a move large enough clears any buffer. What separated the survivors was how much of the account sat behind the position, which is a sizing decision, and what separated the ruined from the merely bruised was the same number. The multiplier decides who closes the position. The size decides what it costs you.
Recorded loss
$8,000,000,000

What you will be able to answer

  • What determines the loss on a trade?
  • Two positions, same risk?
  • Which loses more, 50x or 2x?
  • What does leverage genuinely decide?

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.

It is free. We do not sell the list and there is nothing to buy at the end of it.

Sources and review

Confidence medium·Volatility low·Reviewed 2026-08-07·Owner unassigned

Contested

Liquidation totals for 19 May 2021 are reported between about $8B and $9B depending on the aggregator and the window, and account counts above 800,000 come from venue-reported data that is known to be incomplete because several venues publish only one liquidation per second. The direction of the error is understatement and the argument does not depend on the total.

The claim that liquidated accounts spanned the full leverage range is inference from the size of the move rather than a published breakdown. Venues do not publish liquidation counts by leverage tier. What is directly computable, and is what the lesson relies on, is that the move exceeded the liquidation buffer at every ordinary setting.

R403-01 and R403-02 own risk per trade and the position sizing formula in full. This lesson establishes only that the loss is size times distance and that leverage is a financing choice. Keep the split and route the sizing formula to R403-02.