Mark price
Dated Option pricing and risk metrics are computed using the Black-76 model, which prices options directly off the forward price of the underlying. The mark price depends on the following dynamic inputs:
- Synthetic Forward Price (F) — constructed as
where is the Paradex spot oracle price, is the annualized forward rate for the option’s expiry (calibrated externally from Deribit), and is the time to expiry in years. 2. Mark Implied Volatility (Mark IV) — the external IV fit from a reference exchange (see below). 3. Risk-free rate (r) — used only for discounting the option payoff from expiry back to present value. Currently set to 0%.
Under Black-76, the synthetic forward is the level the option is priced against. The spot oracle price enters only through ; any expectations about funding, dividends, or carry are absorbed into the externally calibrated annualized forward rate . The risk-free rate and the annualized forward rate are separate inputs and serve different roles — shapes the forward, discounts the payoff.
Mark Implied Volatility
Mark IV is calculated directly by fitting the implied volatility surface from a reference exchange:
Forward rate calibration
The annualized forward rate is calibrated externally from Deribit for each option expiry and refreshed continuously. It is combined with the Paradex spot oracle to produce the synthetic forward .
The risk-free rate is a separate platform parameter used solely for discounting. It is currently set to 0%.