Insurance, Mortality, Demography, Risk Management Open access Peer reviewed

A functional variational approach to pricing path-dependent insurance policies

David Baños, Salvador Ortiz-Latorre, Oriol Zamora Font

Stochastics | Jun 13, 2026

Abstract

Abstract

The main purpose of this work is the derivation of a functional partial differential equation (FPDE) for the calculations of equity-linked insurance policies, where the payment stream may depend on the whole past history of the financial asset. To this end, we employ variational techniques from the theory of functional Itô calculus.

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Authors

Researchers on this paper

David Baños

first | University of Oslo | ORCID 0000-0002-3221-4009

Salvador Ortiz-Latorre

middle | University of Oslo | ORCID 0000-0003-0418-708X

Oriol Zamora Font

last | University of Oslo | ORCID 0000-0002-9580-4778

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Citation

BibTeX

@article{Baos2026functional,
  title = {A functional variational approach to pricing path-dependent insurance policies},
  author = {David Baños and Salvador Ortiz-Latorre and Oriol Zamora Font},
  journal = {Stochastics},
  year = {2026},
  doi = {10.1080/17442508.2026.2686141},
  url = {https://doi.org/10.1080/17442508.2026.2686141}
}

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