For an effective interest i $=3\%$ pa$,$ which of the following is the present value of an increasing

annuity$-$certain payable for $60$ years in arrears?

$($iii$.$a$)610\mathrm{.}7282.$ This is the correct answer.

$($iii$.$b$)142\mathrm{.}7175.$

$($iii$.$c$)923\mathrm{.}1992.$

$($iii$.$d$)$ None of the above.