# What can the area under a GBM jump curve tell you

So I used matlab and simulated stock prices with the Merton diffusion model. Now I want to take the integral of the area. Now would there be any financial insight by taking the integral of a stock price curve

I suppose the expectation could be used to get at some time-weighted average price (TWAP) where we assume each instant of observation has infinitesimal and equal weight $$\frac{dt}{T}$$: $$\bar{S}_T := \frac{1}{T} \int_{t=0}^T S_t dt$$.