• 제목/요약/키워드: Ornstein Ulenbeck(OU) process

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AN APPROXIMATED EUROPEAN OPTION PRICE UNDER STOCHASTIC ELASTICITY OF VARIANCE USING MELLIN TRANSFORMS

  • Kim, So-Yeun;Yoon, Ji-Hun
    • East Asian mathematical journal
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    • 제34권3호
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    • pp.239-248
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    • 2018
  • In this paper, we derive a closed-form formula of a second-order approximation for a European corrected option price under stochastic 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 approaches.