A

company expects its dividends to start from $$1$ a year from now and grow at a $10\%$ rate until the end of year $7.$ After that the company's dividends will grow by $5\%$ every year forever. What is the stock's price today if an investor wants to earn $12\%?$

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a$)$ $$22\mathrm{.}90$

b$)$ $$17\mathrm{.}95$

c$)$ $$19\mathrm{.}00$

d$)$ $$21\mathrm{.}08$