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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

The fiducial test of partial distribution

Designing the Pearsons statistic as following:

(14)

There are two parameters to be estimated,

If there is nothing special to mention, we shall use (12) and (13) to estimate parameters underside, and use (14) as test statistic. We adopt the significance level α=0.025, i.e. the fiducial level 1-α=0.975 in the following statistic test.

And the relevant statistic test results of lognormal distribution, χ2l, are given for the comparison with χ2 . The parameters in lognormal distribution are estimated by the maximum likelihood.

Prof. Feng Dai, Prof. Zifu Qin

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