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:

  1. Synthetic Forward Price (F) — constructed as
F=S×efTF = S \times e^{\,f \,T}

where SS is the Paradex spot oracle price, ff is the annualized forward rate for the option’s expiry (calibrated externally from Deribit), and TT 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 FF is the level the option is priced against. The spot oracle price SS enters only through FF; any expectations about funding, dividends, or carry are absorbed into the externally calibrated annualized forward rate ff. The risk-free rate rr and the annualized forward rate ff are separate inputs and serve different roles — ff shapes the forward, rr discounts the payoff.

Mark Implied Volatility

Mark IV is calculated directly by fitting the implied volatility surface from a reference exchange:

UnderlyingReference exchange
BTCDeribit
ETHDeribit
HYPEDerive

Forward rate calibration

The annualized forward rate ff 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 F=S×efTF = S \times e^{\,f\,T}.

The risk-free rate rr is a separate platform parameter used solely for discounting. It is currently set to 0%.