Phoenix Industries has pulled off a miraculous recovery. Four years ago it was near bankruptcy. Today, it announced a $$2$ per share dividend to be paid a year from now, the first dividend since the crisis. Analysts expect dividends to increase by $$1$ a year for another $2$ years. After the third year $($in which dividends are $$4$ per share$),$ dividend growth is expected to settle down to a more moderate long$-$term growth rate of $6\%.$ If the firm$$s investors expect to earn a return of $16\%$ on this stock, what must be its price?

Note: Do not round intermediate calculations. Round your answer to $2$ decimal places.