Home Place$$ Hotels, Inc., is entering into a$3-$year remodeling and expansion project. The construction will have a limiting effect on earnings during that$$ time, but when it is$$ complete, it should allow the company to enjoy much improved growth in earnings and dividends. Last$$ year, the company paid a dividend of $$$$3\mathrm{.}90.$ It expects zero growth in the next year. In years $2$ and$3,5\%$ growth is$$ expected, and in year$4,21\%$ growth. In year $5$ and$$ thereafter, growth should be a constant $8\%$ per year. What is the maximum price per share that an investor who requires a return of $15\%$ should pay for Home Place Hotels common$$ stock?