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Volatility Arbitrage and Model Calibration

In: Virtual Barrels

Author

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  • Ilia Bouchouev

    (Pentathlon Investments, LLC)

Abstract

This chapter focuses on the important problem of model calibration. We present the bootstrapping method for calibrating volatility time-dependency and back out market-implied probability distribution from option prices. We then outline a more difficult problem of reconstructing the underlying diffusion process. Some readers may find it interesting that this problem, known as the inverse problem of option pricing, in its general case presents a rare example of an unsolved mathematical problem.

Suggested Citation

  • Ilia Bouchouev, 2023. "Volatility Arbitrage and Model Calibration," Springer Texts in Business and Economics, in: Virtual Barrels, chapter 12, pages 257-280, Springer.
  • Handle: RePEc:spr:sptchp:978-3-031-36151-7_12
    DOI: 10.1007/978-3-031-36151-7_12
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