please answer all the questions thank you

. 5. (20 points) Consider that you hold a stock that pays dividend of $5 in boom years and $2 in recession years. Required rate of return is 10%. Assume that the economy behaves cyclically, and each boom year is followed by a recession year. Last recession has just finished. (a) (10 points) What should the market price be? Hint: consider PVs of boom and recession dividends separately. (b) (10 points) What if each boom is longer and lasts for two years