: The Calibration process involves fitting the model’s parameters—alpha, beta, rho, and nu—to the observed market prices of vanilla options across different strikes and maturities. This step is essential for generating a consistent implied volatility surface for pricing exotic derivatives. Accurate calibration ensures that the model output aligns with current market consensus.
Volatility
: This framework specifically models the stochastic nature of the underlying asset’s Volatility, treating it as a dynamic variable rather than a constant. The model captures the volatility smile or skew observed in options markets, which is critical for accurate pricing in less liquid crypto derivatives. Understanding the evolution of the implied volatility term structure is a key analytical output.
Formula
: The underlying Formula provides a semi-closed form solution for European option prices under the assumption of stochastic interest rates and volatility. While complex, its utility lies in its ability to generate smooth, arbitrage-free implied volatility curves from discrete market quotes. Practitioners must understand the model’s limitations, particularly when extrapolating far from observed strikes.
