A person wants to establish an annuity for retirement. He wants to make quarterly deposits for $35$ years so that he can then make quarterly withdraws of $\$13{,}000.00$ for $20$ years. The annuity earns $6.36$% compounded quarterly.

(a) How much will have to be in the account at the time he retires?

Value of account at retirement:
[Note: Your answer is a dollar amount and should have a dollar sign and exactly two decimal places.]

(b) How much should be deposited each quarter for $35$ years in order to accumulate the required amount?

quarterly deposit:
[Note: Your answer is a dollar amount and should have a dollar sign and exactly two decimal places.]

(c) What is the total amount of interest earned during the $55$-year period?

Total Interest Earned:
[Note: Your answer is a dollar amount and should have a dollar sign and exactly two decimal places.]