You are saving for retirement and currently have $$50,000$ in your retirement account. You want to have $$10$ million in your account in nominal dollars when you retire

in $35$ years. You will make monthly deposits into your account until you retire. When you retire, you will make monthly withdrawals for $30$ years. You can earn an

$11\mathrm{.}1$ percent nominal EAR before you retire and a $6\mathrm{.}4$ percent nominal EAR after you retire. The inflation rate is a $3\mathrm{.}5$ percent EAR over the entire period. How much

will you need to deposit each month in real terms to fully fund your retirement? How much can you withdraw each month in real terms during your retirement? How

much will your last withdrawal be in nominal terms?

Current value of account

Nominal retirement account value

Years for savings

Savings periods per year

Years for withdrawals

Pre$-$retirement nominal EAR

Post$-$retirement nominal EAR

Inflation rate $($EAR$)$

Pre retirement EAR

Pre retirement APR

Real retirement account value

Real amount to save each month

Real monthly withdrawals

Nominal value of last withdrawal