$9$ How much should Jonathan Childs put into an account today that earns $12$ percent per year if he wan to be able to withdraw $$450$ annually for $5$ years starting at $t=2,$ then $$700$ annually for the next $8$ ye then $$2000$ annually for the next $10$ years?

a$.$ $$5,714$

b$.$ $$5,608$

c$.$ $$5,522$

d$.$ $$5,417$

e$.$ $$5,390$