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Derivatives to Non-inputs and Non-derivatives to Inputs

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Part of the book series: Financial Engineering Explained ((FEX))

Abstract

The title of this chapter may appear a little bit cryptic. The main advertised goal of Algorithmic Differentiation (AD) is to compute in an efficient way the derivatives of functions with respect to their inputs. Each part of this chapter’s title may appear in contraction with that general goal.

You didn’t know you wanted it – You get what you have not asked for – Volatility can stick.

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Notes

  1. 1.

    We use normal/Bachelier 1900 volatilities and not log-normal/Black 1976 volatilities to avoid the problem with negative strikes and rates.

  2. 2.

    http://www.bis.org/bcbs/

References

  • Bachelier, L. (1900). Théorie de la Spéculation. PhD thesis, Ecole Normale Supérieure.

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  • Basel Committee on Banking Supervision. (2014). Fundamental review of the trading book: outstanding issues. Consultative document, Basel Committee on Banking Supervision.

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  • Black, F. (1976). The pricing of commodity contracts. Journal of Financial Economics, 3(1–2): 167–179.

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Henrard, M. (2017). Derivatives to Non-inputs and Non-derivatives to Inputs. In: Algorithmic Differentiation in Finance Explained . Financial Engineering Explained. Palgrave Macmillan, Cham. https://doi.org/10.1007/978-3-319-53979-9_5

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  • DOI: https://doi.org/10.1007/978-3-319-53979-9_5

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  • Publisher Name: Palgrave Macmillan, Cham

  • Print ISBN: 978-3-319-53978-2

  • Online ISBN: 978-3-319-53979-9

  • eBook Packages: Economics and FinanceEconomics and Finance (R0)

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