A company is experiencing supernormal growth. Specifically, the company's dividends will grow $20\%$ for the next five years $($until t $=5).$ After that, the company expects to increase dividends at a steady rate of $5\%$ annually forever. The company's most recent dividend paid was $$12$ per share. If the required rate of return on the stock is $8\%,$ what is the value of the stock today $($t $=0)?$

Note: Write your answer with $2$ or more decimal places.