Miles Hardware has an annual cash dividend policy that raises the dividend each year by $11\%.$ Last year's dividend, Div ${?}_0,$ was $$1\mathrm{.}30$ per share. Investors want a return of $16\%$ on this stock. What is the stock's price if

a$.$ the company will be in business for $5$ years and not have a liquidating dividend?

b$.$ the company will be in business for $15$ years and not have a liquidating dividend?

c$.$ the company will be in business for $25$ years and not have a liquidating dividend?

d$.$ the company will be in business for $45$ years and not have a liquidating dividend?

e$.$ the company will be in business for $80$ years and not have a liquidating dividend?

f$.$ the company will be in business forever?

a$.$ What is the price of this stock if the company will be in business for $5$ years and not have a liquidating dividend?