Given the information below for Seger Corporation. Assume that the historical $($arithmetic$)$ average growth rates will remain the same for $2022.$ Suppose the dividends per share over the same period were $$1\mathrm{.}00,$ $$1\mathrm{.}08,$ $$1\mathrm{.}17,$ $$1\mathrm{.}25,$ $$1\mathrm{.}35,$ and $$1\mathrm{.}40,$ respectively. Compute the expected share price at the end of $2022$ using the perpetual growth method. Assume the market rate of return is $7\mathrm{.}5$ percent, Treasury bills yield $3$ percent, and the projected beta of the firm's common stocks is $1\mathrm{.}20.$

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Year $201620172018201920202021$

Price $$94\mathrm{.}50$ $$100\mathrm{.}40$ $$99\mathrm{.}10$ $$97\mathrm{.}90$ $$121\mathrm{.}50$ $$136\mathrm{.}80$

EPS $4\mathrm{.}345\mathrm{.}055\mathrm{.}226\mathrm{.}067\mathrm{.}008\mathrm{.}00$

CFPS $7\mathrm{.}278\mathrm{.}248\mathrm{.}7110\mathrm{.}1211\mathrm{.}8013\mathrm{.}10$

SPS $52\mathrm{.}6058\mathrm{.}5257\mathrm{.}9060\mathrm{.}6971\mathrm{.}6078\mathrm{.}70$