Roget$$s Search Engine Limited plans to pay dividends of $$2\mathrm{.}00,$ $$3\mathrm{.}50,$ and then a liquidating dividend of $$20\mathrm{.}25$ over the next three years. The investors expect a $10$ percent return on their investment.

Suppose Roget$$s Search Engine decides to forgo the dividend payments in Years $1$ and $2$ and instead reinvests the funds in additional projects available to the firm. Compute the current value of the firm under the following assumptions: $($Do not round intermediate calculations. Round the final answers to $2$ decimal places.$)$

a$.$ Reinvested funds earn $8$ percent.

Current value $

b$.$ Reinvested funds earn $10$ percent.

Current value $

$19\mathrm{.}92$

c$.$ Reinvested funds earn $12$ percent.

Current value $