Harper is $30$ years old. She wants to begin saving for retirement, with the first payment to come one year from now. She can save $$21,330$ per year, and her financial advisor advises her to invest in the stock market, which the financial advisor expects to provide an average return of $11\%$ in the future.

Question $21(3\mathrm{.}57$ points$)$

If Harper follows her financial advisor's advice, how much money will she have at $65?$

$$9,115,375\mathrm{.}50$

$$7,286,105\mathrm{.}20$

$$6,349,056\mathrm{.}77$

$$8\mathrm{.}573\mathrm{.}268\mathrm{.}23$

Harper expects to live for $20$ years after she retires at $65.$ If her investments continue to earn the same rate, how much will she be able to withdraw at the end of each year after her retirement at $65?$

$$1,144,669\mathrm{.}08$

$$797,286\mathrm{.}85$

$$914\mathrm{.}957\mathrm{.}30$

$()$ $$1\mathrm{.}076\mathrm{.}593\mathrm{.}62$