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An Approximated European Option Price under Stochastic Elasticity of Variance using Mellin TransformsAn Approximated European Option Price under Stochastic Elasticity of Variance using Mellin Transforms

Other Titles
An Approximated European Option Price under Stochastic Elasticity of Variance using Mellin Transforms
Authors
김소연윤지훈
Issue Date
2018
Publisher
영남수학회
Keywords
Mellin transform; Stochastic elasticity of variance; Multiscale analysis; Ornstein Ulenbeck(OU) process.
Citation
East Asian Mathematical Journal, v.34, no.3, pp.239 - 248
Journal Title
East Asian Mathematical Journal
Volume
34
Number
3
Start Page
239
End Page
248
URI
https://scholarworks.bwise.kr/hongik/handle/2020.sw.hongik/4531
DOI
10.7858/eamj.2018.017
ISSN
1226-6973
Abstract
In this paper, we derive a closed-form formula of a second- order approximation for a European corrected option price under stochas- tic elasticity of variance model mentioned in Kim et al. (2014) [1] [J.-H. Kim, J Lee, S.-P. Zhu, S.-H. Yu, A multiscale correction to the Black- Scholes formula, Appl. Stoch. Model. Bus. 30 (2014)]. To find the explicit-form correction to the option price, we use Mellin transform ap- proaches.
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