Shortly after the digital studios incorporation went public, the management announced the following dividends policy. Dividends at year $1=$$$1.$ Dividends at year $2=$$$1\mathrm{.}5.$ Dividends at year $3=$$$1\mathrm{.}9.$ and after that the company is expected to increase its annual dividends by $3\%$ indefinitely. What is the stock price estimate at that time if the required rate of return was $7\%?$

a$)$ $$41\mathrm{.}12$

b$)$ $$43\mathrm{.}73$

c$)$ $$38\mathrm{.}77$

d$)$ $$23\mathrm{.}73$