After one year of employment, Hasan has joined his company$$s pension plan. He estimates he will retire in $35$ years, and will be retired for a total of $25$ years. During his retirement, he will need $$50,000$ at the beginning of each year. At a discount rate of $4\%,$ compounded quarterly, what should be his savings goal?

a$.$$$807,655$

b$.$$$963,258$

c$.$$$2,184,431$

d$.$$$3,878,614$