Sia Dance Studios has an annual cash dividend policy that raises the dividend each year by $4\%.$ Last year's dividend, Div ${?}_0,$ was $$6$ per share. The company will be in business for $70$ years with no liquidating dividend. What is the price of this stock if$.$

a$.$ an investor wants a return of $9\%?$

b$.$ an investor wants a return of $11\%?$

c$.$ an investor wants a return of $12\%?$

d$.$ an investor wants a return of $14\%?$

e$.$ an investor wants a return of $17\%?$

a$.$ What is the price of this stock if an investor wants a return of $9\%?$

$($Round to the nearest cent.$)$