Title: Spatial valuation of annuity derivatives

Authors: Gabriel Alberto Agudelo Torres; Luis Ceferino Franco Arbeláez; Luis Eduardo Franco Ceballos

Addresses: Grupo de Investigación en Ciencias Administrativas, Instituto Tecnológico Metropolitano, Medellín, 050013, Colombia ' Grupo de Investigación en Ciencias Administrativas, Instituto Tecnológico Metropolitano, Medellín, 050013, Colombia ' Grupo de Investigación en Ciencias Administrativas, Instituto Tecnológico Metropolitano, Medellín, 050013, Colombia

Abstract: This paper considers the possible spatial interactions among the probabilities of dying at certain age, on particular regions, in the valuation process of a financial derivative whose underlying variable is an annuity. Taylor's (2001) methodology, which proposes a linear model to study the impact of geographic variations on a diversity of insurance products, is complemented with a spatial model applicable to the valuation of annuity derivatives. The proposed methodology is applied to an Argentinian case, constructing mortality tables that incorporate implied spatial correlations, and evaluate their effects on the price of the derivatives.

Keywords: annuities; spatial interactions; derivatives valuation; spatial valuation; annuity derivatives; derivative pricing; linear modelling; geographic variations; insurance products; spatial models; Argentina; mortality tables.

DOI: 10.1504/IJBD.2016.078616

International Journal of Bonds and Derivatives, 2016 Vol.2 No.3, pp.233 - 248

Published online: 26 Aug 2016 *

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