P$7-10$ Common stock value: Constant growth Seagate Technology is a global leader in data storage solutions and a high$-$yield dividend payer. From $2015$ through $2019,$ Seagate paid the following per$-$share dividends:

$\backslash$table$[[$Year$,$Dividend per share$],[2019,52\mathrm{.}52],[2018,2\mathrm{.}25],[2017,1\mathrm{.}83],[2016,1\mathrm{.}19],[2015,1\mathrm{.}52]]$

Assume that the historical annual growth rate of Seagate dividends is an accurate estimate of the future conitant annoal divislend growth rate. Use a $20\%$ required rate of return to find the value of Seagate's stock immediately after it pald its $2019$ dividend of $52\mathrm{.}52.$