Coin-margined delta exposure includes the price sensitivity of the collateral and the inverse position. For a BTC-only account, convert both into the change in dollar equity per dollar move in BTC. Under a shared price reference, current BTC equity plus signed inverse USD face divided by price gives that sensitivity. A position-only delta can therefore understate a long account's exposure or hide a short account's collateral hedge.
Define the account before reading its delta
A BTC-settled inverse position can gain or lose BTC while the BTC backing the account also changes in dollar value. Counting only the contract misses one part of the balance sheet. Counting the same unrealized BTC profit twice creates the opposite error.
This worksheet measures dollar equity sensitivity, expressed in BTC-equivalent units: a delta of 0.40 means approximately 0.40 USD of equity change for a 1 USD/BTC price move. Multiply that delta by a proposed price change to estimate the dollar effect under the model below. It is different from a percentage return, leverage setting or available-margin figure.
Use the linear-versus-inverse contract guide to identify quantity and settlement units first. Here, the instrument has fixed USD face and BTC settlement; the account holds only BTC and this one inverse position. Other coin collateral, borrowing, options and stablecoin balances require additional rows and price factors.
Put the inverse payoff and collateral in common units
Define four inputs:
C: BTC cash balance, excluding the open position's unrealized P&L.F: signed USD face amount, positive for a long and negative for a short.E: entry price in USD per BTC.P: current price in USD per BTC.
Convert contract count using the instrument's multiplier before assigning F. If there were several opening fills, obtain the reconciled entry using the inverse average-entry worksheet.
Bybit documents reciprocal-price P&L for inverse longs and shorts, settled in the underlying coin. The signed form below combines the two directions; it is an algebraic restatement of that payoff, not an additional venue rule. Bybit: inverse-contract P&L.
U = F * (1/E - 1/P)
B = C + U
V = P * B
U is unrealized BTC P&L, B is BTC equity and V is dollar equity. Assume positive prices, unchanged quantity, no fees, funding, flows or settlement resets, and a contract reference price that moves together with the BTC conversion price. These assumptions deliberately isolate price exposure.
Substituting the payoff into equity gives:
V = P * (C + F/E) - F
D = C + F/E
D = B + F/P
D is the slope of dollar equity against P. The two expressions must agree. The second is convenient for a current snapshot: add current BTC equity to the signed position's current BTC-equivalent delta, F/P.
Why does equity appear? A newly earned BTC profit has its own dollar sensitivity once it exists. The F/P term measures the local change in coin P&L, converted at the current price; B captures translation of the existing BTC equity. Adding only original collateral to F/P omits the translation of unrealized P&L.
Reconcile a long account at three prices
This hypothetical account starts with 0.20 BTC and enters a 10,000 USD-face inverse long at 50,000 USD/BTC. Prices and balances are invented for arithmetic. Assume the position remains open through all scenarios; the table does not calculate a liquidation threshold.
| Price, USD/BTC | BTC P&L U | BTC equity B | Position term F/P, BTC | Total D, BTC equivalent | Dollar equity V |
|---|---|---|---|---|---|
| 40,000 | −0.05000000 | 0.15000000 | +0.25000000 | 0.40000000 | 6,000 |
| 50,000 | 0.00000000 | 0.20000000 | +0.20000000 | 0.40000000 | 10,000 |
| 60,000 | +0.03333333 | 0.23333333 | +0.16666667 | 0.40000000 | 14,000 |
At 60,000, adding only original collateral to the position term produces 0.20 + 0.16666667 = 0.36666667. The missing 0.03333333 is existing unrealized BTC profit. Current equity plus the position term correctly gives 0.40.
The contract term shrinks as price rises, but the account's total dollar sensitivity stays constant in this particular model. A move from 50,000 to 45,000 changes equity by 0.40 × −5,000 = −2,000 USD: original BTC collateral loses 1,000 USD and the inverse contract loses another 1,000 USD after conversion. Because the simplified equity function is linear in P, that finite-change calculation is exact here. This does not make the native BTC payoff linear.
A short can offset dollar exposure while changing BTC wealth
Reverse the position to a hypothetical 10,000 USD-face short at the same 50,000 entry, keeping 0.20 BTC cash. Now F = −10,000, so D = 0.20 − 10,000/50,000 = 0.
At 40,000, the short earns 0.05 BTC: 0.25 BTC equity is worth 10,000 USD. At 60,000, it loses approximately 0.03333333 BTC: approximately 0.16666667 BTC is still worth 10,000 USD. Dollar exposure cancels under these assumptions, while the coin balance changes substantially.
This is a measurement example, not a risk-free trade. Costs, funding, a changed position, separate price references or exchange constraints break the stated result. A hedge placed elsewhere also needs collateral in the account that owes it; arbitrage transfer latency explains why an offsetting balance may not arrive when needed.
Reconcile the venue's fields before adding them
Do not assume a field named “total delta” includes collateral. Deribit's account-summary documentation defines delta_total from positions and explicitly directs readers considering USD P&L to account for equity as well. It separately defines cash balance and equity, including futures session P&L. These documented distinctions support the accounting approach; other venues and account modes need their own field mapping. Deribit API: account equity and delta definitions.
Keep this reconciliation with each snapshot:
| Check | Record or action |
|---|---|
| Scope | Which account, collateral assets and positions are included? |
| Price basis | Are derivative mark and collateral conversion synchronized? |
| P&L basis | Does the balance already include unrealized or settled P&L? |
| Direction | Is face amount signed once, after applying the multiplier? |
| Cross-check | Does current equity plus position delta match a small repricing? |
| Changes | Recalculate after fills, costs, transfers or settlement bookkeeping |
An expiry is a realistic exception to a simple “futures delta stays one” assumption. Deribit documents delta decay for expiring futures during its settlement period, while distinguishing perpetuals. Do not carry the worksheet's shared moving-price assumption into that interval unchanged. Deribit: settlement delta decay.
Finally, dollar delta does not measure maintenance-margin headroom. An account can have small net sensitivity and still face account-specific collateral requirements or charges. Review cross versus isolated margin for the collateral boundary and liquidation fees for costs after a liquidation event. Neither a zero delta nor this endpoint worksheet proves that an account survives the path.
Editorial method: Prepared with AI assistance by KLINEO Editorial using primary exchange documentation reviewed on 23 October 2026 and checked hypothetical account arithmetic. This educational model does not establish inverse-contract trading or delta-hedging support in KLINEO.