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DF Structure models for options pricing

Introduction

Basic Assumptions and DF Structure

Partial distribution and stock price

DF process and DF structure

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

The comparative analysis for MSFT

Conclusions

References

Books Related

DF Structure models for options pricing

Comparison Research Between DF Structure Pricing and B-S Pricing

Suppose r (risk-free rate of interest) =0.07. Here we compare results from DF formulas with those of B-S (Black- Scholes) formulas in options pricing.

The comparative analysis for DJX

Time: Dec. 24, 2002

Breed: The option contract on DJX

Maturity: Expires After: Fri 19-Dec-03.

Underlying: Close point of DJX at current date, 84.48.

In table 1, 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). From table 1, we see the DF prices are closer to the actual trading prices than the B-S prices. If taking the strike price, X=88, and T=199 for example, the variety of call and put option prices calculated by DF formulas and B-S formulas are respectively shown in figure 6.1(a) and 6.1(b).

 

Prof. Feng Dai, Prof. Zifu Qin

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