X$,$ Y$,$ and Z are all equity financed firms. They follow a $100\%,50\%$ and $25\%$ dividend payout policies respectively. X expects before personal tax earnings of $$5$ per share per year in perpetuity. Y expects before personal tax earnings of $$4$ per share per year in perpetuity. Z expects before personal tax earnings of $$6$ per share per year in perpetuity. X$$s stock is trading at $$40$ per share. It has a beta of $1\mathrm{.}2.$ Y is half as risky as X and Z is $3$ times as risky as Y$.$ Risk free rate of return is $3\%.$ What should the current share prices of Y and Z be$?$ Assume the marginal personal tax rate on dividends is $31\%$ and on capital gains $23\%($after adjusting for only half of the capital gain is taxable$).$