Sky$,$ Inc. paid a dividend of $$4\mathrm{.}00$ per share on its common stock yesterday. Dividends are expected to grow at a constant rate of $10\%$ for the next three years, at which point the dividends will begin to grow at a constant rate indefinitely. If the stock is selling for $$60$ today and the required return is $11\%,$ what it the expected annual dividend growth rate after year three?