You have received news about an inheritance that will pay you $$5,000$ next year. Beginning the following year, your inheritance will increase by $3$ percent every year forever. What is the value of this inheritance today if your opportunity cost is $6\%?$

$$171,666\mathrm{.}67$

$$166,666\mathrm{.}67$

$83,333,34$

none of these

$151,666\mathrm{.}67$