Landon Enterprises can earn a $20\%$ rate of return on new projects from equity. The firm plans to retain $30\%$ of earnings back into the firm and pay the rest out as dividends. Earnings for this year will be $$3$ per share. The current rate of return on similar stocks is $12\%.$

a$.$ What is the firm$$s earnings growth rate?

b$.$ Based on this data, what would be the firm$$s current stock price?

c$.$ If the firm pays all of its earnings out as dividends, what would the stock price be$?$

d$.$ Based on the above, find the firm$$s PVGO.