Diffusion Coefficient

The diffusion coefficient measures the magnitude of the random volatility component in a stochastic process. It dictates how quickly the distribution of potential prices spreads out over time.

In financial modeling, it is directly related to the volatility of the underlying asset. A higher diffusion coefficient results in a wider dispersion of possible future prices, which increases the value of options.

It is a critical parameter for defining the Brownian motion component of pricing formulas. Accurately estimating this coefficient is necessary to predict the range of possible outcomes for derivative payoffs.