OptiNod Academy

Liquidation Price Math — Leverage Sets the Distance to Your Liquidation Price

Leverage sets the distance to your liquidation price. If your stop sits farther away than the liquidation price, the stop never fires and liquidation comes first. This covers how to calculate, before you enter, how many percent the liquidation price sits away from the current price.

> Raise leverage one notch and what actually narrows is the distance from the current price to your liquidation price.

Before you fix your entry or your target, you have to calculate how many percent away from the current price your position gets force-liquidated. When your margin falls below the maintenance margin, the exchange liquidates the position at market. For an isolated margin long, the liquidation price lands roughly at entry × (1 − 1/leverage + maintenance margin rate). Plug in 10x leverage and a maintenance margin rate (MMR) of 0.5% and the liquidation price comes to about 90.5% of the entry — around −9.5% from the current price. The exact value depends on the exchange's MMR tier table and any unsettled funding, so the numbers in this article are approximations meant to give you a feel for the distance.

Leverage is usually described as a tool for amplifying gains. That math only holds when price moves in your direction. When price goes the other way, the same multiple pulls the liquidation price that much closer to the current price — and that part usually gets left out of the explanation.

What leverage actually sets is the distance left between the current price and the liquidation price. Calculate that distance before you enter and your judgment about where to put your stop changes completely. If your stop price sits farther away than the liquidation price (lower, for a long), that stop never gets filled. Liquidation comes first.

The Leverage Multiple Sets the Distance Left to Liquidation

Under isolated margin, the liquidation price moves close to the inverse of leverage. The higher the multiple, the more the price room you can withstand shrinks by the same ratio (an approximation, before subtracting MMR and funding).

| Leverage | Liquidation distance (vs. entry) |

|---|---|

| 2x | about −50% |

| 5x | about −20% |

| 10x | about −9.5% |

| 25x | about −3.5% |

This relationship matters because BTC's daily range often falls inside that distance. On August 5, 2024, as the yen carry trade unwind spread, BTC fell about −15.7% on the day, from an open of $58,161 to a low of $49,000. A 10x long with a liquidation price around −9.5% was liquidated long before that day's low was reached, while a 5x long (liquidation around −20%) survived. Same direction, same entry price, yet a single leverage multiple decided whether the position was liquidated.

The first two things to check on the chart are these: how many percent the liquidation price sits away from the current price at the leverage you chose, and whether the asset's ordinary daily range is larger than that distance. If the distance is narrower than the range, it is only a matter of time before that position gets liquidated before the stop is reached. To reexamine the sizing itself, read position sizing alongside this.

If the Stop Sits Farther Than the Liquidation Price, the Stop Never Fires

Many traders place their stop at a technical invalidation point — below the prior low, or where a major support breaks. Placing the stop at the invalidation point is the right approach. But set leverage high and that invalidation point can end up sitting farther away than the liquidation price.

When price falls, whichever of the two levels is closer triggers first. If the stop is at −12% and the liquidation price is at −9.5%, price passes through −9.5% first. At that moment the exchange closes the position at market, and the stop order disappears without ever reaching the price it was set at. The idea that the farther out the stop, the safer you are, reverses once you raise leverage: the farther out you set the invalidation point, the higher the odds you get liquidated before price ever reaches it.

ETH in February 2025 is the case. ETH, which opened around $3,300 on February 1, fell about −36% to a low of $2,125 by February 3 following trade tariff headlines. The decline clustered on February 2–3. The daily close recovered to $2,879, but near the intraday low, longs of 5x or more were put at risk of liquidation. Many traders who had set their stop below the prior support never got filled at that stop price. Liquidation triggered first, and the liquidation price was worse than the stop they had set themselves. How this chain grows is explained in liquidation cascades.

Before you enter, display the liquidation price and the stop price together on the same screen and confirm that the stop price sits closer to the current price than the liquidation price. If it does not, you have to lower leverage or reduce the entry quantity to push the liquidation price beyond the stop.

Cross Margin Makes the Liquidation Price Look Far Away and Distorts Your Sense of Position Size

With isolated margin, you only lose the margin assigned to that position, and the liquidation price and the loss ceiling are fixed by that margin. Cross margin pulls the entire available balance of the account in as margin for one position, so the liquidation price gets pushed much farther out than under isolated margin. Because the liquidation price looks far away, you end up sizing the position larger, and the core risk — that the liquidation price is closer than the stop price — drops out of sight. When liquidation actually happens, under cross margin the entire account balance has been propping up that position and gets wiped out along with it.

On May 19, 2021, BTC crashed about −30% on the day, from an open of $42,850 to a low of $30,000. Accounts holding several altcoin longs at once under cross margin were liquidated all together, as the loss on one name ate into the margin of the others. Cross margin looks like insurance that delays liquidation, but in practice it is a bet that stakes the whole account on a single liquidation. If you hold highly correlated assets together under cross margin, a sharp drop in one name pulls the liquidation prices of the rest along with it, so check your correlation exposure to confirm that same-direction bets won't be liquidated as a single bundle.

Funding and MMR Tiers Pull the Liquidation Price Closer to the Current Price Than the Calculated Value

Even if the approximation gives −9.5%, the actual liquidation price can come in closer than that. The first reason is maintenance margin rate tiers. Exchanges apply a higher MMR as the notional position grows, so when an MMR that was 0.5% on a small position rises to 1% or 2.5% on a large one, the liquidation price gets pulled that much closer to the current price.

The second reason is funding cost. Hold perpetual futures and you usually pay or receive funding every 8 hours. In a phase where longs pay funding, holding the position for a long time reduces your margin by the funding deducted and creeps the liquidation price a little closer to the current price. The longer you hold, the more the liquidation price moves a little each day by the funding deducted, so recheck the live liquidation price in the exchange app and, if the gap to the stop price has narrowed, add margin or reduce the position. How to read funding is explained in funding rate.

A Sizing Setup That Pushes the Liquidation Price Beyond the Stop

The order is to fix the technical invalidation point first, then work backward from it to choose leverage. It is a procedure that makes the stop always get reached before liquidation.

• Invalidation point: Lock in the stop price on the chart first. On a BTC entry at $60,000, set the stop at $55,800 (−7%), below the prior swing low.
• Leverage cap: Limit leverage to a level that keeps the liquidation distance wider than −7%. By the inverse approximation, a −7% liquidation distance corresponds to about 14x, so go above 14x and the liquidation price moves inside the stop price.
• Gap buffer: Set the liquidation distance to about twice the stop width (about 2 ATR). A −7% stop means putting the liquidation price around −14%, which by the inverse approximation is about 7x or less. At 5x (liquidation around −20%), the buffer is more generous.
• Quantity adjustment: If lowering leverage still leaves the liquidation distance short, reduce the entry quantity to lower the notional position and drop the MMR tier by one notch.

Follow this order and the stop price always sits closer to the current price than the liquidation price, so when invalidation occurs, the stop gets filled at the price you set. The basis for setting stops by chart structure is explained in more detail in stop placement.

A Confirmation Procedure for Drawing the Liquidation Price on the Chart

Don't leave the liquidation price as a calculation in your head — mark it as a single line on the chart. Confirming the following five items before you enter will prevent most accidents where the stop gets disabled.

• [ ] Confirmed the expected liquidation price on the exchange order screen and marked that price as a horizontal line on the chart
• [ ] Visually confirmed that the stop price sits closer to the current price than the liquidation price (for a long, stop price > liquidation price)
• [ ] Confirmed that the gap between the stop price and the liquidation price is wider than the asset's average daily range (based on ATR)
• [ ] If on cross margin, checked that other same-direction positions are not pulling this liquidation price along with them
• [ ] If on perpetual futures, confirmed that funding deductions over the intended holding period won't creep the liquidation price inside the stop price

A position that clears these five lines stops at the price you set even when it loses, while a position that fails to clear them stops at the distance leverage set. How the difference between the two cases compounds into a probability of ruin is shown in risk of ruin. The line you have to draw on the chart before you enter is the liquidation price.