An investment offers $$9,900$ per year for $13$ years, with the first payment occurring one year from now. Assume the required return is $11$ percent.

a$.$ What is the value of the investment today?

Note: Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$

b$.$ What would the value be if the payments occurred for $38$ years?

Note: Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$

c$.$ What would the value be if the payments occurred for $73$ years?

Note: Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$

d$.$ What would the value be if the payments occurred forever?

Note: Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$

$\backslash$table$[[$a$.$ Present value,$],[$b$.$ Present value,$],[$c$.$ Present value,$],[$d$.$ Present value,$]]$