$($Future value of a complex$$ annuity$)$ Springfield mogul Montgomery$$ Burns, age

$8080,$

wants to retire at age $100$ so he can steal candy from babies full time. Once Mr$.$ Burns$$ retires, he wants to withdraw

$$$$0\mathrm{.}90\mathrm{.}9$

billion at the beginning of each year for

$77$

years from a special offshore account that will pay

$2121$

percent annually. In order to fund his$$ retirement, Mr$.$ Burns will make

$2020$

equal$$ end$-$of$-$the$-$year deposits in this same special account that will pay

$2121$

percent annually. How much money will Mr$.$ Burns need at age$100,$ and how large of an annual deposit must he make to fund this retirement$$ account?

Question content area bottom

Part $1$

a$.$If the retirement account will pay

$2121$

percent$$ annually, how much money will Mr$.$ Burns need when he$$ retires?

$$$enter your response here

billion$($Round to three decimal$$ places.$)$