ABC produces ham and bacon and is expected to earn $$6$ per share next year and pay out $$1\mathrm{.}20$ in dividends. They project $10\%$ dividend growth for the next three years. Then, dividends will double as they reduce their re$-$investment rate. Thereafter, they expect growth of $6\%.$ Investors require an $8\mathrm{.}5\%$ return to invest in ABC stock.

Part a: Construct time line of ABC dividends that lasts at least $6$ years.

Part b: What is the continuing value as of year $5?$

Part c: If markets are efficient, what is the price of ABC shares today?