You are considering whether to invest in a company's common shares. The company is expected to pay is first cash dividend of $$1\mathrm{.}00$ at the end of year one. The dividend is expected to grow by $40\%$ in year $2$ and $30\%$ in year $3.$ No further growth in the annual dividend is expected after year three. Calculate annual dividends to the nearest penny $($$$0\mathrm{.}01)$ per share, If your required return on investment is $15\%,$ what is the maximum price that you'd pay for the stock?