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Option pricing and Greeks via a moving least square meshfree method

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  • Yongsik Kim
  • Hyeong-Ohk Bae
  • Hyeng Keun Koo

Abstract

We apply a meshfree method using the fast moving least squares approximation to option pricing, particularly for the purpose of obtaining high-order Greeks. The method is shown to be accurate and efficient in obtaining prices and Greeks of European, Asian and Barrier options. We also include a complicated Equity Linked Security (ELS) from the Korean OTC market, as a real-world example.

Suggested Citation

  • Yongsik Kim & Hyeong-Ohk Bae & Hyeng Keun Koo, 2014. "Option pricing and Greeks via a moving least square meshfree method," Quantitative Finance, Taylor & Francis Journals, vol. 14(10), pages 1753-1764, October.
    • Handle: RePEc:taf:quantf:v:14:y:2014:i:10:p:1753-1764
    DOI: 10.1080/14697688.2013.845686
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    References listed on IDEAS

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    1. Zvan, R. & Vetzal, K. R. & Forsyth, P. A., 2000. "PDE methods for pricing barrier options," Journal of Economic Dynamics and Control, Elsevier, vol. 24(11-12), pages 1563-1590, October.
    2. Kemna, A. G. Z. & Vorst, A. C. F., 1990. "A pricing method for options based on average asset values," Journal of Banking & Finance, Elsevier, vol. 14(1), pages 113-129, March.
    3. Naoto Kunitomo & Masayuki Ikeda, 1992. "Pricing Options With Curved Boundaries1," Mathematical Finance, Wiley Blackwell, vol. 2(4), pages 275-298, October.
    4. Mark Broadie & Paul Glasserman & Steven Kou, 1997. "A Continuity Correction for Discrete Barrier Options," Mathematical Finance, Wiley Blackwell, vol. 7(4), pages 325-349, October.
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    1. Kim, Junseok & Kim, Taekkeun & Jo, Jaehyun & Choi, Yongho & Lee, Seunggyu & Hwang, Hyeongseok & Yoo, Minhyun & Jeong, Darae, 2016. "A practical finite difference method for the three-dimensional Black–Scholes equation," European Journal of Operational Research, Elsevier, vol. 252(1), pages 183-190.

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