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A change of measure formula for recursive conditional expectations

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  • Luca Di Persio
  • Alessandro Gnoatto
  • Marco Patacca

Abstract

In this paper, we derive a representation for the value process associated to the solutions of FBSDEs in a jump-diffusion setting under multiple probability measures. Motivated by concrete financial problems, the latter representations are then applied to devise a generalization of the change of num\'eraire technique allowing to obtain recursive pricing formulas in the presence of multiple interest rates and collateralization.

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  • Luca Di Persio & Alessandro Gnoatto & Marco Patacca, 2021. "A change of measure formula for recursive conditional expectations," Papers 2111.08359, arXiv.org, revised Jul 2022.
    • Handle: RePEc:arx:papers:2111.08359
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    References listed on IDEAS

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    1. Eckhard Platen, 2006. "A Benchmark Approach To Finance," Mathematical Finance, Wiley Blackwell, vol. 16(1), pages 131-151, January.
    2. Alessandro Gnoatto & Nicole Seiffert, 2020. "Cross Currency Valuation and Hedging in the Multiple Curve Framework," Working Papers 03/2020, University of Verona, Department of Economics.
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