The primary difference(s) between selecting the binomial (Cox-Ross-Rubinstein) model for valuing stock options versus the Black-Scholes option pricing model is:

the consideration of the option over a period of time

Explanation:

The Cox-Ross-Rubinstein model is a market model to valuations of the options. It isl also known as the Binomial model. And most popularly known s the CRR model. It is multi period market stock model for stock price.

The Black-Scholes option pricing model is used to estimate the fair policy or the theoretical value of a call that is based o 6 variables including time, volatility, strike price, type of option, etc.

The main differences of a Cox-Ross-Rubinstein model and a Black-Scholes model is

--the consideration of any option over the period of time

--it is used for the stocks which pays a dividend without the model modification .

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