[1]胡华,陈清风.抛物型模糊二叉树欧式期权定价模型[J].江西师范大学学报(自然科学版),2012,(02):177-179.
 HU Hua,CHEN Qing-feng.The Parabolic Type Fuzzy Binomial Tree Model with European Options Pricing[J].Journal of Jiangxi Normal University:Natural Science Edition,2012,(02):177-179.
点击复制

抛物型模糊二叉树欧式期权定价模型()
分享到:

《江西师范大学学报》(自然科学版)[ISSN:1006-6977/CN:61-1281/TN]

卷:
期数:
2012年02期
页码:
177-179
栏目:
出版日期:
2012-03-01

文章信息/Info

Title:
The Parabolic Type Fuzzy Binomial Tree Model with European Options Pricing
作者:
胡华;陈清风
宁夏大学数学计算机学院,宁夏银川,750021
Author(s):
HU Hua;CHEN Qing-feng
关键词:
模糊二叉树模型抛物型模糊数欧式期权定价
Keywords:
fuzzy binomial tree mode parabolic type fuzzy number European options pricing
分类号:
O211.6;O159;F224.9
文献标志码:
A
摘要:
利用可信性理论对抛物型模糊二叉树期权定价模型进行了研究,推导出单期二叉树模型欧式期权价值的期望值,拓展了上升因子为三角模糊变量的单期二叉树欧式期权定价模型.而抛物型模糊数能够更好地捕捉股价变化过程中的不确定性,使模型的适用范围更广.
Abstract:
The binary tree option pricing model being subordinate to the parabolic type fuzzy variables is studied by credibility theory. The one period binary tree model options value expectations are got. The up factor of the one period binary tree European option pricing model as the triangular fuzzy variable is expanded. And the parabolic type fuzzy numbers can better capture stock price process uncertainty, which makes the model applicable scope wider.

参考文献/References:

[1] Liu Baoding, Liu Yiankui. Expected value of fuzzy variable and fuzzy expected value models [J]. IEEE Transactions on Fuzzy Systems, 2002, 10(4): 445-450.
[2] Li Xiang, Liu Baoding. A sufficient and necessary condition for credibility measures [J]. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2006, 14(5): 527-535.
[3] 彭锦, 刘宝碇. 不确定规划的研究现状及其发展前景 [J]. 运筹与管理, 2002, 11(2): 1-10.
[4] Liu Baoding. Uncertainty theory: an introduction to its axiomatic foundations [M]. Berlin: Springer-Verlag, 2004: 81-147.
[5] 彭锦, 刘宝碇. 不确定理论及其公理化体系 [J]. 黄冈师范学院学报, 2004, 24(3): 1-9.
[6] 李伟, 韩立岩. Knight不确定条件下的模糊二叉树期权定价模型 [J]. 中国管理科学, 2009, 17(6): 9-16.
[7] 陈怡. 关于欧式看涨期权的模糊二叉树模型 [J]. 哈尔滨商业大学学报: 社会科学版, 2007, 97(6): 10-12.
[8] 支林仙, 朱宇阳, 程德巧. 基于多层次模糊综合评判的网络成瘾评价 [J]. 江西师范大学学报:自然科学版, 2008, 32 (5): 525-529.
[9] Cox J C, Ross S A, Rubinstein M. Option pricing: a simplified approach [J]. Journal of Financial Economics, 1979, 7(3): 229-263.
[10] 陈怡. 关于期权定价的模糊二叉树模型及其应用 [D]. 天津:天津大学, 2007.

备注/Memo

备注/Memo:
国家自然科学基金(61063020);宁夏自然科学基金(NZ1050);宁夏研究生教育创新计划(2010)
更新日期/Last Update: 1900-01-01