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Can a Machine Correct Option Pricing Models?

Author

Listed:
  • Caio Almeida

    (Princeton University)

  • Jianqing Fan

    (Princeton University)

  • Gustavo Freire

    (Erasmus School of Economics)

  • Francesca Tang

    (Princeton University)

Abstract
We introduce a novel two-step approach to predict implied volatility surfaces. Given any fitted parametric option pricing model, we train a feedforward neural network on the model-implied pricing errors to correct for mispricing and boost performance. Using a large dataset of S&P 500 options, we test our nonparametric correction on several parametric models ranging from ad-hoc Black-Scholes to structural stochastic volatility models and demonstrate the boosted performance for each model. Out-of-sample prediction exercises in the cross-section and in the option panel show that machine-corrected models always outperform their respective original ones, often by a large extent. Our method is relatively indiscriminate, bringing pricing errors down to a similar magnitude regardless of the misspecification of the original parametric model. Even so, correcting models that are less misspecified usually leads to additional improvements in performance and also outperforms a neural network fitted directly to the implied volatility surface.

Suggested Citation

  • Caio Almeida & Jianqing Fan & Gustavo Freire & Francesca Tang, 2022. "Can a Machine Correct Option Pricing Models?," Working Papers 2022-9, Princeton University. Economics Department..
  • Handle: RePEc:pri:econom:2022-9
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    More about this item

    Keywords

    Deep Learning; Boosting; Implied Volatility; Stochastic Volatility; Model Correction;
    All these keywords.

    JEL classification:

    • C45 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Neural Networks and Related Topics
    • C58 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Financial Econometrics
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

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