LogoLogo
  • Ethena Overview
  • How USDe Works
  • Genesis Story
  • Alternatives: Existing Stablecoins
  • Size of the Opportunity
  • USDtb
  • Ethena Network
  • ENA
    • Tokenomics
  • Video Guides
    • How to Buy USDe
    • How to Stake USDe
    • How to Stake ENA
    • How to [Un]lock positions
  • Solution Overview
    • USDe Overview
      • Delta-Neutral Stability
      • Delta-Neutral Examples
      • Scalability
      • Censorship Resistance
      • Regulatory Compliance
    • Protocol Revenue Explanation
      • Historical Examples
      • Rewards Mechanism Explanation
      • sUSDe Rewards Mechanism
    • Underlying Derivatives
      • Futures vs Perpetuals
      • Inverse vs Linear Contracts
      • Basis Spread
    • Peg Arbitrage Mechanism
    • Liquid Stables: Dynamic Allocation
      • Current Allocation Approach
    • Scenario Analysis
    • Risks
      • Funding Risk
      • Liquidation Risk
      • Custodial Risk
      • Exchange Failure Risk
      • Backing Assets Risk
      • Stablecoin-Related Risks
      • Margin Collateral Risks
    • Governance
      • Risk Committee
  • Backing Custody & Security
    • Overview
      • Off-Exchange Settlement in detail
      • Copper Clearloop Case Study
    • Real-Time Dashboards
  • Solution Design
    • Overview
      • Github Overview
    • Key Trust Assumptions
      • Matrix of Multisig and Timelocks
    • Minting USDe
      • Order Validity Checks
      • User Security Measures
      • Mint & Redeem Key Functions
      • Mint and Redeem Contract V2
    • Staking USDe
      • Staking Key Functions
      • User Security Measures
    • Use of Oracles
    • Hedging System
      • Internal Services
      • Managing Risk from dependencies
    • Reserve Fund
    • Key Addresses
    • Backing Asset Custody
  • API Documentation
    • Overview
  • Resources
    • Custodian Attestations
    • FAQ
    • Data Repository
    • USDe + sUSDe Custodian Availability
    • Audits
    • Media Assets
    • General Risk Disclosures
    • Privacy Policy
    • Terms of Service
    • USDe Terms and Conditions - EEA
    • USDe Terms and Conditions - Non EEA
    • USDe Mint User Agreement - Non EEA
    • Testnet
Powered by GitBook
On this page
  • Inverse vs Linear Contracts
  • Convexity Implications

Was this helpful?

Export as PDF
  1. Solution Overview
  2. Underlying Derivatives

Inverse vs Linear Contracts

Inverse vs Linear Contracts

A linear payout is the simplest to describe and is used for many swaps. The price of a linear contract is expressed as the price of the underlying against the base currency. ETHUSDT is a linear perpetual and is quoted in Tether, with margin and PNL calculations denominated in Tether.

An inverse contract is worth a fixed amount of the quote currency. In the case of the ETHUSD perpetual, each contract is worth $1 of Ethereum at any price. ETHUSD is an inverse contract because it is quoted as ETH/USD but the underlying is USD/ETH or 1 / (ETH/USD). It is quoted as an inverse to facilitate hedging US Dollar amounts while the spot market convention is to quote the number of US Dollars per Ethereum.

Convexity Implications

Convexity (also known as Gamma) refers to the second derivative of a contract's value with respect to price, and in the case of inverse perpetual futures, it can differ from the relationship suggested by a linear move in price.

While the payoff for a linear contract is just the Contract Multiplier*(Entry Price-Exit Price), the payoff for an inverse contract is Contract Multiplier*(1/Entry Price - 1/Exit Price), introducing convexity.

Example

A trader goes long 50,000 contracts of ETHUSD at a price of 10,000. A few days later the price of the contract increases to 11,000.

The trader’s profit will be: 50,000 * 1 * (1/10,000 - 1/11,000) = 0.4545 ETH

If the price had in fact dropped to 9,000, the trader’s loss would have been: 50,000 * 1 * (1/10,000 - 1/9,000) = -0.5556 ETH. The loss is greater because of the inverse and non-linear nature of the contract. Conversely, if the trader was short then the trader’s profit would be greater if the price moved down than the loss if it moved up.

Last updated 1 year ago

Was this helpful?