Binomial Model

The binomial model is a numerical method used for pricing options by modeling the evolution of the underlying asset price over discrete time steps. It constructs a binomial tree where the price can move either up or down at each step.

This approach allows for the valuation of American-style options, which can be exercised at any time before expiration. Unlike the Black-Scholes model, the binomial model can handle early exercise and varying dividend payments.

It is a flexible and intuitive framework that provides a clear view of how an option's value changes across different scenarios. While it is computationally intensive, it is widely used for pricing complex derivatives where closed-form solutions are unavailable.

In crypto, the binomial model is useful for valuing options on assets with unique properties. It helps traders understand the path-dependent nature of some derivatives.

By increasing the number of time steps, the model converges to the Black-Scholes price for European options.