Problem $6-4$ Calculating Annuity Present Value $[$LO$1]$

An investment offers $$6,500$ per year, with the first payment occurring one year from now. The required return is $7$ percent.

a$.$ What would the value be today if the payments occurred for $20$ years? $($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

b$.$ What would the value be today if the payments occurred for $45$ years? $($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

c$.$ What would the value be today if the payments occurred for $70$ years? $($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

d$.$ What would the value be today if the payments occurred forever? $($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

$\backslash$table$[[$a$.$ Present value of $20$ annual payments,$],[$b$.$ Present value of $45$ annual payments,$],[$c$.$ Present value of $70$ annual payments,$],[$d$.$ Present value of annual payments forever,$]]$