If you wish to accumulate $$136,000$ in $6$ years, how much must you deposit today in an account that pays a quoted annual interest rate of $13\%$ with quarterly compounding of interest?

$$65,323\mathrm{.}32$

$$63,121\mathrm{.}52$

$$86,880\mathrm{.}02$

$$57,503\mathrm{.}71$

$$108,436\mathrm{.}71$