A major population center is being ravaged by a bad case of wanderlust where the citizens of this city will leave to travel the world and never return. The wanderlust is so bad that it claims $4\mathrm{.}3\%$ of the population each year. If the current population of the city is $3\mathrm{.}8$ million individuals, create a model and find the population in $4,8,12,$ and $16$ years from now.