Parker has a rare sculpture that is supposed to be worth $$10,000$ sometime in the future. Parker was just offered $$4,500$ for the sculpture today $($PV$).$ Based on an interest rate $($discount rate$)$ of $11\mathrm{.}5\%$ per year, how many years would Parker have had to wait to get the $$10,000$ value in the future?

Group of answer choices

$7\mathrm{.}34$ years

$-6\mathrm{.}28$ years $($negative$)$

$6\mathrm{.}28$ years

$-7\mathrm{.}34$ years $($negative$)$