You are running a hot Internet company. Analysts predict that its earnings will grow at $10\%$ per year for the next $7$ years. After$$ that, as competition$$ increases, earnings growth is expected to slow to $6\%$ per year and continue at that level forever. Your company has just announced earnings of $$$$4$ million. What is the present value of all future earnings if the interest rate is $9\%?($Assume all cash flows occur at the end of the$$ year.$)$