You anticipate retiring in $28$ years and have determined that you will need $$375000$ per year to live

comfortably. Your friend, an actuary, has informed you that you are likely to live for $26$ years after you

retire. Assume an applicable interest rate of $3\mathrm{.}25\%$ over your lifetime.

How much do you need to have in your investment account when you retire? $\{$Express your answer in

$$\}$

How much do you need to save each year to accomplish your retirement goal? $\{$Express your answer in

$$\}$