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Fractional Liu process with application to finance

✍ Scribed by Zhongfeng Qin; Xin Gao

Book ID
104046708
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
366 KB
Volume
50
Category
Article
ISSN
0895-7177

No coin nor oath required. For personal study only.

✦ Synopsis

As a fuzzy counterpart of Brownian motion, Liu process has attracted more and more attention in the recent literature. In this paper, the concept of fractional Liu process is proposed as an extension of Liu process. Furthermore, we obtain the expressions of the membership functions, expected values and variances of arithmetic and geometric fractional Liu processes for each fixed time. As an application, geometric fractional Liu process is assumed to characterize the stock price, which formulates a new fuzzy stock model. Based on this proposed model, European option pricing formulas are gained and two numerical examples are given with different parameters.

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