Assume that you have just turned $21,$ graduated from college, and got a great job. Because

of a finance class that you took as andergraduate, you are now planning for your

retirement. You have pulled together the following facts and have made the following

assumptions:

Your parents are giving you $$20,000$ as a graduation present to purchase a new car.

Instead, you plan to spend $$3,000$ on a vacation, $$12,000$ on a used car, and invest the

remaining $$5,000,$ starting today $($Year $0),$ in your retirement account.

In addition to the $$5,000$ above, you have saved your money over time and already had

$$12,750$ in your retirement account $($Year $0).$

You believe that you will be able to add $$4,500$ each year to your retirement account in

each of Years $1$ through $35($the $35-$year span from age $22$ through age $56).$

You assume that you will get married in $4$ years $($Year $4$ at age $25)$ and plan on spending

$$5,000$ from your retirement account on your wedding.

You assume that you and your spouse will buy a house in $6$ years $($Year $6$ at age $27)$ and

plan on making a down payment of $$28,000$ from your retirement account.

You would like to retire in $35$ years $($Year $35$ at age $56)$ and assume that you will need to

withdraw $$65,000$ in each of Years $36$ through $59($the $24-$year span from age $57$

through age $80)$ from your retirement account.

You believe that you can earn a nominal annual rate of return of $8$ percent $($compounded

annually$).$

Given the information above, and assuming that you make no other deposits to your

retirement account, determine how much you will have left at Year $59($age $80)$ after you

make your last withdrawal of $$65,000.$

Answer is whole dollars, rounded to the nearest dollar, with no punctuation. For example, if

your answer is $$150,224\mathrm{.}75,$ enter $"150225".$