Company XYZ does not currently pay a dividend. However, their earnings have been growing at a very high rate. Thus, they are expected to begin paying a dividend, starting $7$ years from today. Expectations are that the first dividend will be $ $3\mathrm{.}1$ per share. The dividend is then expected to grow at $34\%$ per year for $6$ years, and at the end of that super$-$normal growth period, the stock will enter a slower growth perpetuity phase of $6\%$ per year. The required return on Agilent stock is $13\%.$ What should be their current stock price? $($Please make sure to not do any intermediate rounding and keep at least $6$ decimal points throughout solving this problem. Round your final answer to three decimal places. For example $1\mathrm{.}23450$ or $1\mathrm{.}23463$ will be rounded to $1\mathrm{.}235$ while $1\mathrm{.}23448$ will be rounded to $1\mathrm{.}234)$