Options pricing with time changed Lévy processes under imprecise information

Zhi Yuan Feng, Johnson T.S. Cheng, Yu Hong Liu, I. Ming Jiang

研究成果: Article同行評審

4 引文 斯高帕斯(Scopus)

摘要

This study evaluates a time changed Lévy model for European call options under a fuzzy environment. The proposed model is characterized by high frequency jumps, stochastic volatility, and stochastic volatility with the jumps, existing in the returns process of financial assets. Moreover, to consider imperfect and unpredictable accounting information, this study uses fuzzy logic to account for the impreciseness of the accounting information, which can not be described in extant models, and provides reasonable reference instruments for future research on option pricing under a jump diffusion model with imprecise market information. Our empirical results also show that the fuzzy time changed Lévy model has better fitting performance when compared with the time changed Lévy and the Black and Scholes model when using S&P 500 index option data.

原文English
頁(從 - 到)97-119
頁數23
期刊Fuzzy Optimization and Decision Making
14
發行號1
DOIs
出版狀態Published - 2015 三月

All Science Journal Classification (ASJC) codes

  • 軟體
  • 邏輯
  • 人工智慧

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