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Accounting for the impact of higher order moments in foreign equity option pricing model

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  • Xu, Weidong
  • Wu, Chongfeng
  • Li, Hongyi

Abstract

This paper investigates the pricing of foreign equity option whose value depends on foreign equity prices and exchange rate. We assume that the underlying asset returns of foreign equity option is not a Brownian motion, and use the Gram-Charlier series expansion to augment a normal density with two additional terms to capture the effects of skewness and kurtosis. The empirical study shows that the higher order moments (skewness and kurtosis) clearly affect the estimated prices of foreign equity options. This approach enables us to capture more accurately the foreign equity option prices.

Suggested Citation

  • Xu, Weidong & Wu, Chongfeng & Li, Hongyi, 2011. "Accounting for the impact of higher order moments in foreign equity option pricing model," Economic Modelling, Elsevier, vol. 28(4), pages 1726-1729, July.
    • Handle: RePEc:eee:ecmode:v:28:y:2011:i:4:p:1726-1729
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    References listed on IDEAS

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    2. Lihua Zhang & Weiguo Zhang & Weijun Xu & Xiang Shi, 2014. "A Modified Least-Squares Simulation Approach to Value American Barrier Options," Computational Economics, Springer;Society for Computational Economics, vol. 44(4), pages 489-506, December.
    3. Ulyah, Siti Maghfirotul & Lin, Xenos Chang-Shuo & Miao, Daniel Wei-Chung, 2018. "Pricing short-dated foreign equity options with a bivariate jump-diffusion model with correlated fat-tailed jumps," Finance Research Letters, Elsevier, vol. 24(C), pages 113-128.
    4. Chen, Rongda & Zhou, Hanxian & Yu, Lean & Jin, Chenglu & Zhang, Shuonan, 2021. "An efficient method for pricing foreign currency options," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 74(C).
    5. Xu, Weidong & Wu, Chongfeng & Li, Hongyi, 2011. "Foreign equity option pricing under stochastic volatility model with double jumps," Economic Modelling, Elsevier, vol. 28(4), pages 1857-1863, July.
    6. Ruan, Xinfeng & Zhu, Wenli & Huang, Jiexiang & Zhang, Jin E., 2016. "Equilibrium asset pricing under the Lévy process with stochastic volatility and moment risk premiums," Economic Modelling, Elsevier, vol. 54(C), pages 326-338.
    7. Tasadduq Imam & Kevin Tickle & Abdullahi Ahmed & William Guo, 2012. "Linear Relationship Between The Aud/Usd Exchange Rate And The Respective Stock Market Indices: A Computational Finance Perspective," Intelligent Systems in Accounting, Finance and Management, John Wiley & Sons, Ltd., vol. 19(1), pages 19-42, January.
    8. Sun, Qi & Dong, Yucheng & Xu, Weidong, 2013. "Effects of higher order moments on the newsvendor problem," International Journal of Production Economics, Elsevier, vol. 146(1), pages 167-177.
    9. Fu, Junhui & Zhang, Wei-Guo & Yao, Zheng & Zhang, Xili, 2012. "Hedging the portfolio of raw materials and the commodity under the mark-to-market risk," Economic Modelling, Elsevier, vol. 29(4), pages 1070-1075.
    10. Fan, Kun & Shen, Yang & Siu, Tak Kuen & Wang, Rongming, 2014. "Pricing foreign equity options with regime-switching," Economic Modelling, Elsevier, vol. 37(C), pages 296-305.
    11. Li, Zhe & Zhang, Wei-Guo & Liu, Yong-Jun, 2018. "European quanto option pricing in presence of liquidity risk," The North American Journal of Economics and Finance, Elsevier, vol. 45(C), pages 230-244.

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