Company Z$-$prime$$s earnings and dividends per share are expected to grow by $3\%$ a year. Its growth will stop after year $4.$ In year $5$ and afterward, it will pay out all earnings as dividends. Assume next year$$s dividend is $$5,$ the cost of equity is $13\%,$ and next year$$s EPS is $$10.$ What is Z$-$prime$$s stock price?

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