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---
title: "Stochastic Mortality"
author: "Zakaria Al Azhar"
date: "May 20, 2018"
output: html_document
---
---
#Introduction
This package is a practical implemenation of the stochastic mortality model as published by the Dutch Actuarial Assocation (Actuarieel Genootschap) in R. The model can be used to generate best-estimates as well as uncertainty (quantiles) of various actuarial variables. The full publication of the stochastic mortality model (in Dutch) can be found at [ag-ai.nl](https://www.ag-ai.nl/view.php?action=view&Pagina_Id=731)
#Theoretical background
For ages (x < 90 ) and year (t >= $T_{model}$ where $T_{model} in {2013,2016} ):
$ln\ \mu_x(t) = Mortality \ intensitiy \ (t) = ln\ \mu{^{EU}_x(t)} + ln\ \mu{^{NL}_x(t) }$
$ln\ \mu_x(t) = Mortality \ intensitiy \ (t) = ln\ \mu{^{EU}_x(t)} + ln\ \mu{^{NL}_x(t) }$
$ln\ \mu_x(t) = Mortality \ intensitiy \ (t) = \mu{^{EU}_x(t)} + \mu{^{NL}_x(t) }$
$x_2$
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```{r}
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