UserX tech limited invented a new device which reduced its production cost and the monthly cost of the Internet service to last for the next four years. The company projects it will enjoy growth of $16\%$ first year, $14\%$ in the second year $,$ with $10\%$ and $8\%$ in the next two years, after which it will have a constant growth of $5\%.$the company last paid a dividend of $$2\mathrm{.}60$ per share and expects that the dividends will grow at the same rate as its profit.

a$)$The cost of capital is $10\%.$ Calculate x tech share price today?

b$)$calculate the expected share $2$ years from today

c$)$calculate the dividend yield for year $3$