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Option Profit and Loss Attribution and Pricing: A New Framework

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  • PETER CARR
  • LIUREN WU

Abstract

This paper develops a new top‐down valuation framework that links the pricing of an option investment to its daily profit and loss attribution. The framework uses the Black‐Merton‐Scholes option pricing formula to attribute the short‐term option investment risk to variation in the underlying security price and the option's implied volatility. Taking risk‐neutral expectation and demanding no dynamic arbitrage result in a pricing relation that links an option's fair implied volatility level to the underlying volatility level with corrections for the implied volatility's own expected direction of movement, its variance, and its covariance with the underlying security return.

Suggested Citation

  • Peter Carr & Liuren Wu, 2020. "Option Profit and Loss Attribution and Pricing: A New Framework," Journal of Finance, American Finance Association, vol. 75(4), pages 2271-2316, August.
    • Handle: RePEc:bla:jfinan:v:75:y:2020:i:4:p:2271-2316
    DOI: 10.1111/jofi.12894
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    References listed on IDEAS

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    Cited by:

    1. Gero Junike & Hauke Stier & Marcus C. Christiansen, 2022. "Sequential decompositions at their limit," Papers 2212.06733, arXiv.org, revised Apr 2023.
    2. Wu, Lingke & Liu, Dehong & Yuan, Jianglei & Huang, Zhenhuan, 2022. "Implied volatility information of Chinese SSE 50 ETF options," International Review of Economics & Finance, Elsevier, vol. 82(C), pages 609-624.
    3. Shi, Yukun & Stasinakis, Charalampos & Xu, Yaofei & Yan, Cheng, 2022. "Market co-movement between credit default swap curves and option volatility surfaces," International Review of Financial Analysis, Elsevier, vol. 82(C).
    4. Matthias Buechner & Bryan T. Kelly, 2021. "A Factor Model For Option Returns," NBER Working Papers 29369, National Bureau of Economic Research, Inc.
    5. Shiva Zamani & Alireza Moslemi Haghighi & Hamid Arian, 2023. "Temporal Volatility Surface Projection: Parametric Surface Projection Method for Derivatives Portfolio Risk Management," Papers 2311.14985, arXiv.org.
    6. Yi Huang & Wei Zhu & Duan Li & Shushang Zhu & Shikun Wang, 2023. "Integrating Different Informations for Portfolio Selection," Papers 2305.17881, arXiv.org.
    7. Shi, Yunkun & Stasinakis, Charalampos & Xu, Yaofei & Yan, Cheng & Zhang, Xuan, 2022. "Stock price default boundary: A Black-Cox model approach," International Review of Financial Analysis, Elsevier, vol. 83(C).
    8. Büchner, Matthias & Kelly, Bryan, 2022. "A factor model for option returns," Journal of Financial Economics, Elsevier, vol. 143(3), pages 1140-1161.
    9. Jia, Xiaolan & Ruan, Xinfeng & Zhang, Jin E., 2023. "Carr and Wu’s (2020) framework in the oil ETF option market," Journal of Commodity Markets, Elsevier, vol. 31(C).

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