Linear crypto contracts calculate profit and loss from a price difference in the settlement currency; inverse contracts use reciprocal prices and usually settle in the underlying coin. Compare the contract multiplier, quantity unit and settlement asset before comparing leverage. Equal entry notional can produce matching dollar price results in a simplified example while leaving very different coin balances and collateral exposure.
This educational article uses official exchange documentation and an original hypothetical BTC comparison. It was prepared with AI assistance. The examples explain accounting units; they do not establish which contracts a connected trading application supports or recommend a derivative product.
Read the contract in three separate currencies
A quoted price, an order quantity and a settlement balance can use different units. In a typical BTCUSDT linear contract, the price is USDT per BTC, the quantity represents BTC exposure, and the result is paid in USDT. In a typical BTCUSD inverse contract, the price is USD per BTC, the face amount is denominated in USD, and the result is paid in BTC.
These are examples, not a naming convention to apply blindly. Kraken's documented Bitcoin futures comparison shows a 1 BTC linear contract alongside a 1 USD inverse contract, with different collateral currencies. A raw contract count therefore cannot be compared across the two products. Kraken: sample linear and inverse trade mechanics.
Write down four fields before doing arithmetic: the value of one contract, the unit accepted by the order form or API, the settlement asset, and the assets actually funding the account. A symbol alone does not answer all four.
Use the formula that matches the quantity
For a linear long whose quantity is expressed in BTC exposure:
Gross P&L in USDT = BTC quantity × (exit price − entry price)
A short reverses the price subtraction. Bybit documents this price-difference calculation for its USDT perpetual and expiry contracts, including settlement in USDT. Bybit: USDT-contract P&L calculation.
For an inverse long whose total face amount is expressed in USD:
Gross P&L in BTC = USD face amount × (1 ÷ entry price − 1 ÷ exit price)
A short reverses the reciprocal subtraction. This is the structure Bybit documents for its inverse contracts. If a venue specifies a multiplier per contract, convert contract count into the correct face amount first. Bybit: inverse-contract P&L calculation.
Keep the units beside every input. Multiplying an inverse USD contract count by a price as though it were BTC quantity can produce an enormous sizing error while still looking like valid spreadsheet arithmetic.
Match entry notional before comparing outcomes
Consider two hypothetical long positions entered at 50,000 per BTC. Treat one USDT as one USD only for this illustration, and use the same numerical BTC price for both markets. Ignore basis differences, commissions, funding, conversion costs and slippage. Assume both positions survive to the stated exits.
The linear position is 0.20 BTC, giving entry notional of 0.20 × 50,000 = 10,000 USDT. The inverse position has 10,000 USD of face amount, equivalent to 10,000 ÷ 50,000 = 0.20 BTC at entry. That is the matching condition; equal displayed quantities would not match these exposures.
| Hypothetical exit price | Linear gross P&L | Inverse gross P&L | Inverse P&L valued at that exit |
|---|---|---|---|
| 55,000 per BTC | +1,000 USDT | +0.01818182 BTC | +1,000 USD |
| 45,000 per BTC | −1,000 USDT | −0.02222222 BTC | −1,000 USD |
For the higher exit, the inverse calculation is 10,000 × (1/50,000 − 1/55,000) = approximately 0.01818182 BTC. Multiplying the unrounded result by 55,000 gives 1,000 USD. At the lower exit, it loses approximately 0.02222222 BTC, worth 1,000 USD at 45,000.
The coin amounts are asymmetric because one BTC is worth a different dollar amount at each exit. Calling the inverse result “linear” after dollar conversion would conceal the settlement balance you actually receive or owe. Calling the larger BTC loss proof of a larger dollar contract loss would also misread this particular comparison.
This equality depends on the constructed assumptions. Two live contracts can have different entry and exit prices, funding, fees and settlement terms. It is an arithmetic identity under matched inputs, not evidence that switching products preserves account risk.
Add collateral to see the account outcome
Now give each hypothetical account assets worth 2,000 USD at entry: 2,000 USDT for the linear account, and 0.04 BTC for the inverse account. Assume those are the only assets and positions. Continue ignoring costs and assume no liquidation interrupts either path. These balances are illustrative allocations, not exchange margin requirements.
| Hypothetical exit | Linear assets after closing | Inverse assets after closing | Inverse assets valued in USD |
|---|---|---|---|
| 55,000 | 3,000 USDT | 0.05818182 BTC | 3,200 USD |
| 45,000 | 1,000 USDT | 0.01777778 BTC | 800 USD |
At the higher exit, the initial 0.04 BTC alone has risen from 2,000 to 2,200 USD. Add the 1,000-USD contract gain and total assets become 3,200 USD. At the lower exit, that starting coin falls to 1,800 USD; subtract the 1,000-USD contract loss and 800 USD remains.
The extra gain or loss comes from holding BTC collateral. It is separate from the matched contract price result. A trader measuring wealth in BTC will also interpret these balances differently from someone budgeting in dollars. Record both the native settlement balance and its conversion rate instead of silently changing the measurement currency.
Account arrangements complicate the simple coin-versus-stablecoin picture. Bybit's inverse FAQ describes coin settlement while also noting that eligible collateral can help meet margin requirements subject to collateral value ratios; borrowing can introduce interest. Inspect the actual account rules and balances rather than assuming the contract label fully describes collateral risk. Bybit: inverse-contract margin and collateral FAQ.
A migration worksheet that catches unit mistakes
Before translating a position or strategy between products, complete this worksheet for both instruments:
- Instrument identity: venue, exact symbol, perpetual or expiry contract, settlement asset and account mode.
- Quantity definition: contract multiplier, order quantity unit, minimum quantity and quantity step.
- Matched exposure: intended entry notional and the resulting native order quantity for each product.
- Outcome ledger: native P&L at an adverse price, unchanged price and favorable price; conversion rates recorded separately.
- Account ledger: collateral assets, their changed values, costs and the venue's authoritative margin state.
Bybit's instrument-information endpoint distinguishes linear and inverse categories and exposes contract type, base coin, quote coin, settlement coin and quantity filters. Those fields help identify the product; check the applicable order documentation for the meaning of the quantity you submit. Bybit API: instrument specifications.
Rounding matters after conversion. A correctly computed theoretical size can still violate the destination instrument's step or minimum. Use the exchange order-minimum guide to separate desired exposure from a valid order instruction.
Payout type is separate from position mode. The one-way versus hedge-mode comparison explains whether an opposite trade reduces the existing position or manages a distinct side. Preserve that distinction when translating a strategy's opening and closing instructions.
Test the accounting before trusting a comparison
Use three basic checks: an unchanged entry-to-exit price should produce zero gross price P&L; reversing direction should reverse gross P&L for the same prices; and a native balance converted into dollars should use the recorded conversion price. Costs can make the final result negative even when gross price P&L is zero.
Then add the perpetual funding ledger in the correct settlement asset. A single percentage cannot substitute for the actual charges over the holding period.
Finally, keep the account's liquidation mechanism separate from these endpoint calculations. The mark-price and liquidation guide explains why an executable exit, a last trade and a risk reference answer different questions. The tables above cannot prove that either position would remain open through a real market path.
A profitable opposing position can also be forcibly reduced through auto-deleveraging. Include that possible quantity change in a derivatives recovery plan; a matched entry notional does not preserve a hedge after one leg changes.
A useful comparison ends with quantities, settlement balances and collateral changes that can be reconciled. If those units remain unclear, pause the translation and validate the accounting in a controlled paper-trading review before treating two similarly named contracts as interchangeable.