A high$-$tech company is currently reinvesting all of its earnings and will therefore not pay dividends for the next several years. you believe that the company will pay its first dividend, of $$4\mathrm{.}00,$ eight years from today. thereafter, you think the company's dividends will grow at a constant rate of $5\%$ a year on a permanent basis. if the required rate of return for this stock is $14\%,$ what price should you be willing to pay for a share of this company's stock today?