XYZ Limited is a listed company on the Jamaica Stock Exchange. Its market capitalization as at December $31,2015$ was $$550$m and the outstanding shares at the same date was $40,000,000$ and the authorized shares were $50,000,000.$ The company also has $10,000,000$ preference with $9\mathrm{.}5$ percent interest rate.

Required:

a$.$ Calculate the market price of the company$$s share?

b$.$ What percentage does the outstanding shares represents for the company total authorized shares?