Based on the Partial Distribution and the Partial Process,this paper presents the DF structure of strike price of option for the first time,and gives the DF structure pricing models,the constructive analytic models for options pricing on a non-dividend-paying stock.

Dividends are paid to the shareholders according to a threshold strategy:whenever the (modified) surplus is below some level,no dividends are paid;whenever the modified surplus is above the level,dividends are paid continuously with a constant rate (less than the premium rate).