You are planning to save for retirement over the next $30$ years. To save for retirement, you will invest $$1,750$ per month in a stock account in real dollars and $$600$ per month in a bond account in real dollars. The effective annual return of the stock account is expected to be $13$ percent, and the bond account will earn $5$ percent. When you retire, you will combine your money into an account with an effective return of $7$ percent. The returns are stated in nominal terms. The inflation rate over this period is expected to be $3$ percent.

a$.$ How much can you withdraw each month from your account in real terms assuming a $25-$year withdrawal period? $($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

b$.$ What is the nominal dollar amount of your last withdrawal? $($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

a$.$ Real monthly withdrawal

b$.$ Last nominal withdrawa