The stock price of Alps Co$.$ is $$54\mathrm{.}50.$ Investors require a return of $15$ percent on similar stocks.

If the company plans to pay a dividend of $$3\mathrm{.}90$ next year, what growth rate is expected for the company$$s stock price? $($Do not round intermediate calculations and enter your answer as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$