A investor's price for a townhouse was $$160000\mathrm{.}00.$ Sepaba Investments., the buyers of the rental unit, paid $$40000\mathrm{.}00$ down and financed the balance by making equal payments at the end of every six months for $25$ years. Interest is $6\%$ compounded semi$-$annually.What is the total cost of the building for Sepaba Investments?

a

$$296546\mathrm{.}00$

b

$$390783\mathrm{.}67$

c

$$252684\mathrm{.}36$

d

$$273193\mathrm{.}00$

e

$$200000\mathrm{.}00$