Calculate the amount that must be invested at the end of each year at $5\%$ compounded annually in order to accumulate $$500,000$ after $25$ years.

a

$$10,476\mathrm{.}23$

b

$$8,254\mathrm{.}36$

c

$$7,525\mathrm{.}72$

d

$$12,984\mathrm{.}26$