Problem $4-13$ Calculating Annuity Present Value

An investment offers $$5,900$ per year for $15$ years, with the first payment occurring one year from now.

a$.$

If the required return is $6$ percent, what is the value of the investment today? $($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

b$.$ What would the value today be if the payments occurred for $40$ years? $($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

c$.$ What would the value today be if the payments occurred for $75$ years? $($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

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