A businessman borrowed P$300,000$ with interest at the rate of $6\%$ compounded annually.

He agrees to discharge his obligation by paying a series of $6$ equal annual payments,

the first being due at the end of the $5$th year.

Which of the following gives the total sum of all his payments.

a$.$ P$543,233\mathrm{.}04$

b$.$ P$421,098\mathrm{.}53$

c$.$ P$452,013\mathrm{.}22$

d$.$ P$537,255\mathrm{.}96$