How much do you have to deposit today so that beginning $1010$ years from now you can withdraw $ $13$ comma $000$$$13,000$ a year for the next $77$ years$($periods $1010$ through $1616)$ plus an additional amount of $$$$26$ comma $00026,000$ in that last year$($period $1616)?$ Assume an interest rate of $99$ percent. Answer$$ sub$-$parts $($a$)-($d$)$ below; these break the problem down into smaller parts.

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Part $1$

a$.$ What is the value of the $$$$13$ comma $00013,000$ withdrawals in years $1010$ through $1616$ at the end of year $99$ if the annual interest rate is $99$percent$?$

$$$enter your response here$($Round to the nearest$$ cent.$)$

b$.$ What is the present value today of the $77-$year $$$$13$ comma $00013,000$ annuity at the end of year $99($found in part$$ a$)$ if the annual interest rate is $99$percent$?$

$$$enter your response here $($Round to the nearest$$ cent.$)$

c$.$ What is the present value of the amount of $$$$26$ comma $00026,000$ withdrawal in year $1616$ if the annual discount rate is $99$percent$?$

$$$enter your response here $($Round to the nearest$$ cent.$)$

d$.$ How much do you have to deposit today so that beginning $1010$ years from now you can withdraw $$$$13$ comma $00013,000$ a year for the next $77$ years$($periods $1010$ through $1616)$ plus an additional amount of $$$$26$ comma $00026,000$ in that last year$($period $1616)?$

$$$enter your response here$($Round to the nearest$$ cent.$)$