Storico Company just paid a dividend of $$2\mathrm{.}80$ per share. The company will increase its dividend by $20$ percent next year and will then reduce its dividend growth rate by $5$ percentage points per year until it reaches the industry average of $5$ percent dividend growth, after which the company will keep a constant growth rate forever. If the stock price is $$48\mathrm{.}47,$ what required return must investors be demanding on the company's stock? $($Hint: Set up the valuation formula with all the relevant cash flows, and use trial and error to find the unknown rate of return.$)$