At the end of each month during a three$-$year period, a hospital business manager invested $P9,000.$ How nich will the future value be four years after the last investment is made if the interest rate is $15\%$ compounded monthly? Round your final answer to the nearest whole number.

P$.$ P$406,040$

E$.$ P$408,039$

X$.$ None of the choices

H$.P408,040$

N$.P737,106$

O$.P406,039$

$P710,166$