Solve the Problem $\$ 12,500$ At the End of Each 6 Months for 13 Years

Multiple Choice

Solve the problem.
-Gretta wants to retire in 13 years. At that time she wants to be able to withdraw $\$ 12,500$ at the end of each 6 months for 13 years. Assume that money can be deposited at $12 \%$ per year compounded semiannually. What exact amount will Gretta need in 13 years?

A) $\$ 162,539.63$
B) $\$ 254,127.13$
C) $\$ 159,792.00$
D) $\$ 165,131.63$