Sobre la aplicacion del "Cálculo Estocastico" en las Matematicas Economico-Financiero-Actuariales

  1. Villalón, Julio G. 3
  2. Rodríguez Ruz, Julian 1
  3. Seijas, J. Antonio 2
  1. 1 Universidad Nacional de Educación a Distancia
    info

    Universidad Nacional de Educación a Distancia

    Madrid, España

    ROR https://ror.org/02msb5n36

  2. 2 Universidade da Coruña
    info

    Universidade da Coruña

    La Coruña, España

    ROR https://ror.org/01qckj285

  3. 3 Universidad de Valladolid
    info

    Universidad de Valladolid

    Valladolid, España

    ROR https://ror.org/01fvbaw18

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Journal:
Anales de ASEPUMA

ISSN: 2171-892X

Year of publication: 2017

Issue: 25

Type: Article

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Abstract

The attached paper has been written in reference to \stochastic calculus" or \It^o Calculus" applied to the actuarial nance economics relative to two separate sides. The rst is focused on nancial mathematics in economics and we attempt to present a modern look at some of the models use in \stochastic nance" starting with key principles of Black- Scholes and Merton in the early 70's. In reference to Actuarial Science o age-continuous actuarial mathematics, we see early signs in the \stochastic calculus" over a century ago in those di erential equations developed for the mathematical reserve of an insurance annuity, rst proposed by Thiele in 1875 and later on for risk or ruin theory for insurance companies proposed by Lundberg in 1903 when stochastic theory had not even been formalized as such.

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