Natalie is interested in valuing the shares of Union Aerospace$($UA$).$ UA pays dividends annually. She expects the stock to pay dividends of$$ $$3$ at the end of each of the next four years.$$ Thereafter, she expects the dividend to grow at$7\%$ per annum in perpetuity. If her required return is$12\%,$ then how much should she pay for a$$ share?

Please show your work with formulas, do not use Excel to show your work.