DF Structure models for options pricing
Basic Assumptions and DF Structure
Partial distribution and stock price
The DF Structure Pricing Models of Options on A Non-Dividend-Paying Stock
DF structure models of call options pricing
Estimation and Test of the Parameters in Partial Distribution
The fiducial test of partial distribution
The Fitness Analysis of Partial Distribution
The fitness analysis for stock index and stock of Chinese market
Comparison Research Between DF Structure Pricing and B-S Pricing
Time: Dec. 25, 2002.
Breed: The option contract on MSFT.
Maturity: Expires After: Fri,16-Jan-04.
Underlying: Close price of MSFT at current date, 53.39$.
In table 2, there are the prices on Dec.24, 2002, which were the closing prices traded actually in the United States option market (TP), the call and put options prices calculated by DF structure formulas, (DF) , and the call and put options prices calculated by B-S formulas, (B-S). According to the data from table 2, it is difficult to know whether the DF formula is better than B-S formula or not, we should do further empirical research. Taking the strike price, X=60, and T=212 for example, the variety of call and put option prices calculated by DF formulas and B-S formulas are respectively shown in figure 6.2(a) and 6.2(b).



The comparing analysis for SDL
Because there is no stock option in the Chinese security market, we will make a hypothetic contrastive analysis of SDL. Let Maturity=199, Strike price of option: X=15. Current price of stock: S(t)=16.5. Thus, the variety of call and put option prices calculated by DF formula and B-S formula are respectively shown in figure 6.3(a) and 6.3(b).


Again if Strike price of option: X=16.5, Current price of stock: S(t)=15. thus, the variety of call and put option prices calculated by DF formula and B-S formula are respectively shown in figure 6.4(a) and 6.4(b).


Prof. Feng Dai, Prof. Zifu Qin

DF Structure models for options pricing
Based on the Partial Distribution, we presents the concepts and expressions of DF process and DF structure and put forward the DF structure models of pricing options on a non-dividend-paying underlying for the first time.
Prof. Feng Dai and Prof. Zifu Qin