Alex is saving up for a mega $$3,000$ watch. She can save $$500$ each quarter of a year, and she estimates an interest rate of $4\%,$ compounding annually. How many years will it be until she has saved enough to purchase the watch?

Group of answer choices

$1\mathrm{.}46$

$5\mathrm{.}86$

$0\mathrm{.}37$

$1\mathrm{.}37$