XYZ company is issuing stock. For the first $2$ years, no dividend is paid. A dividend of $$5$ will be paid in the $3$rd year, with a constant growth of $10\%$ for the next $2$ years. At the end of year $6$ the dividend raises to $$6\mathrm{.}25$ and remains constant thereafter. You hope to make a $20\%$ return on your investment and plan to hold XYZ stock until maturity, how much should you pay today?