It is the first day of the year and you plan to make a total of $5$ deposits of $$4,000$ each, one every $6$ months with the first payment being made today. The bank pays a nominal interest rate of $15\%$ but uses semiannual compounding. How much your account with the bank be if you leave the money in the bank to be withdrawn all in $12$ years from today?

Round to the nearest $$0\mathrm{.}01$ but do not use the $ sign. DO NOT USE commas to separate thousands. For example if you obtain $$1,432\mathrm{.}728$ then enter $1433\mathrm{.}73$; if you obtain $$432$ then enter $432\mathrm{.}00$ answer $98,692\mathrm{.}72$