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Problem $4-13$ Calculating Annuity Present Value

An investment offers $$5,800$ per year for $20$ years, with the first payment occurring one year from now.

a$.$

If the required return is $7$ 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 $45$ years? $($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

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