An investment offers $$4,270$ per year for $15$ years, with the first payment occurring one year from now the required return is $6$ percent, what is the value of the investment? 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 $40$ years $?$ Note: Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$ What would the value be if the payments occurred for $75$ 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 colculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16$