Sawchuck Consulting has been profitable for the last $5$ years, but it has never paid a dividend. Management has indicated that it plans to pay a $$0\mathrm{.}25$ dividend $3$ years from today, then to increase it at a relatively rapid rate for $2$ years, and then to increase it at a constant rate of $8\mathrm{.}00\%$ thereafter. Management's forecast of the future dividend stream, along with the forecasted growth rates, is shown below. Assuming a required return of $11\mathrm{.}00\%,$ what is your estimate of the stock's current value?

Year $01234567$

Growth rate NA NA NA NA $100\%50\%8\mathrm{.}00\%8\mathrm{.}00\%$

Dividends $$0\mathrm{.}000$ $$0\mathrm{.}000$ $$0\mathrm{.}000$ $$0\mathrm{.}25$ $$0\mathrm{.}50$ $$0\mathrm{.}75$ $$0\mathrm{.}81$ $$0\mathrm{.}87$

Use the rounded values of dividends $($as given in the table above$)$ for your subsequent calculations.

Select the correct answer.

a$.$ $$-16\mathrm{.}98$

b$.$ $$84\mathrm{.}90$

c$.$ $$16\mathrm{.}98$

d$.$ $$59\mathrm{.}43$

e$.$ $$76\mathrm{.}41$