Financial activity time

The laws of Lévy process activity time measured by absolute and or quadratic variation are identified to form new models taken evaluating the original at an independent copy its time. Examples their times gamma compound Poisson, bilateral $ CMY process. Activity measurement focusing on discounting larger moves exponential is developed exponentially discounted models. With a view towards ignoring both very small also large leads estimated option price data for four maturities ten underliers over period 2015 through 2021. For single multiple Sato type scaling construction implemented. It observed that based deliver comparable performance quality in calibration coupled with greater stability parameter estimates. As consequence, summarizing surfaces parameters advocated.