Alpha Industries plans on reinvesting heavily in itself for the next few years. The company plans to pay a $$6$ dividend next year, which will decrease by $3\%$ for two years. After that, dividends are expected to grow at a $5\%$ rate, indefinitely. If investors require a $10\%$ return, what is the value of Alpha stock? Round intermediate steps to four decimals and your final answer to two decimals. Do not use the dollar sign when entering your answer.