Pricing of power european options based on Tsallis entropy under stochastic interest rate

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  • School of Science, Yanshan University, Qinhuangdao 066004, Hebei, China

Received date: 2016-12-16

  Online published: 2019-12-04

Abstract

The randomness of interest and characteristics of fat-tailed, long-term dependence of return distribution of asset prices are considered. Thus, the distribution of Tsallis entropy, which has the characteristics of long-term memory and statistical feedback, is selected to describe the law of the asset prices movement. By using the actuarial approach method under the Vasicek interest rate model, the pricing formulas of power European options are obtained. The formulas not only generalize the classical Black-Scholes conclusion, but also contain the conclusions in the other literature.

Cite this article

WEI Qian, WANG Yongmao . Pricing of power european options based on Tsallis entropy under stochastic interest rate[J]. Operations Research Transactions, 2019 , 23(4) : 124 -130 . DOI: 10.15960/j.cnki.issn.1007-6093.2019.04.011

References

[1] Black F, Scholes M. The pricing of options and corporate liabilities[J]. Journal of Political Economy, 1973, 81(3):637-654.
[2] 陈倩, 李金林, 张伦. 基于g-h分布的上证指数收益率分布拟合研究[J]. 中国管理科学, 2008, (s1):226-230.
[3] Tsallis C. Possible generalization of Boltzmann-Gibbsstatistics[J]. Journal of Statistical, Physics, 1988, 52(1):479-487.
[4] Michael F, Johnson M D. Financial market dynamics[J]. Physica A Statistical Mechanics & Its Appli-cations, 2003, 320(C):525-534.
[5] 张磊, 苟小菊. 基于Tsallis理论的中国股市收益分布研究[J]. 运筹与管理, 2012, 21(3):200-205.
[6] Bladt M, Rydberg H T. An actuarial approach to option pricing under the physical measure and witout market assumptions[J]. Mathmatics and Economics, 1998, 22(1):65-73.
[7] Borland L. A theory of non-Gaussian option pricing[J]. Quantitative Finance, 2002, 7(6):415-431.
[8] 赵攀, 肖庆宪. 随机利率下基于O-U过程的幂型欧式期权定价[J]. 合肥工业大学学报:自然科学版, 2014, 37(11):1386-1390.
[9] 赵攀, 肖庆宪. 基于Tsallis分布及跳扩散过程的欧式期权定价[J]. 中国管理科学, 2015, 23(6):41-48.
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