@mastersthesis{10336/13701, author = {Cristancho Castellanos, Rodrigo}, year = {2017}, url = {http://repository.urosario.edu.co/handle/10336/13701}, abstract = {The purpose of this Thesis, is to study affine dynamic models that capture the price and mortality dynamics, it would allow to introduce the longevity risk into the risk analysis and valuation for life contracts in Colombia. Taking that into account,it is shown a risk-free multi-factorial affine mortality model for longevity risk applications with a close expression of the survival probability curve. Within the scope of this document we will use a state space representation to estimate the model parameters using a Kalman Filter. Colombian mortality data is used to asses 2- and 3- factor implementation.}, keywords = {Modelo de Mortalidad}, keywords = {Riesgo de longevidad}, keywords = {Multi-factor}, keywords = {Libre de Arbitraje}, keywords = {Afín}, keywords = {Consistente}, keywords = {Filtro de Kalman}, title = {Modelos a fínes consistentes con aplicación en riesgos de longevidad: sector asegurador colombiano}, publisher = {Universidad del Rosario}, keywords = {Multi-factor}, keywords = {Mortality Model}, keywords = {Longevity Risk}, keywords = {Affine}, keywords = {Arbitrage Free}, keywords = {Consistent}, keywords = {Kalman Filter}, }