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Pricing Interest Rate Derivatives Under Monetary Changes

Author

Listed:
  • ALAN DE GENARO

    (Getulio Vargas Foundation — FGV/EAESP, Brazil)

  • MARCO AVELLANEDA

    (Courant Institute of Mathematical Sciences — NYU, USA)

Abstract

The goal of this paper is to develop a reduced-form model for pricing derivatives on the overnight rate. The model incorporates jumps around central bank (CB) meetings. More specifically, rate changes are decomposed into fluctuations between CB meetings and deterministic timed jumps following CB meetings. This approach is useful for practitioners, since it allows the extraction of expectations regarding central bank decisions embedded in liquid instruments, as well as the use of these expectations for the pricing of less liquid derivatives, such as options, in a consistent manner. We discuss applications to 30-Day Fed funds options and IDI options traded in Brazil.

Suggested Citation

  • Alan De Genaro & Marco Avellaneda, 2018. "Pricing Interest Rate Derivatives Under Monetary Changes," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 21(06), pages 1-28, September.
    • Handle: RePEc:wsi:ijtafx:v:21:y:2018:i:06:n:s0219024918500371
    DOI: 10.1142/S0219024918500371
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    References listed on IDEAS

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    Cited by:

    1. Allan Jonathan da Silva & Jack Baczynski & José Valentim Machado Vicente, 2020. "Efficient Solutions for Pricing and Hedging Interest Rate Asian Options," Working Papers Series 513, Central Bank of Brazil, Research Department.
    2. Allan Jonathan da Silva & Jack Baczynski & Leonardo Fagundes de Mello, 2023. "Hedging Interest Rate Options with Reinforcement Learning: an investigation of a heavy-tailed distribution," Business and Management Studies, Redfame publishing, vol. 9(2), pages 1-14, December.
    3. Rama Cont, 2023. "In memoriam: Marco Avellaneda (1955–2022)," Mathematical Finance, Wiley Blackwell, vol. 33(1), pages 3-15, January.

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