Super star INC just paid a dividend of $5.50 per share. The company will increase its dividend by 50 percent next year and will then reduce its dividend growth rate by 10 percentage points per year until it reaches the industry average of 10 percent dividend growth, after which the company will keep a constant growth rate forever. If the required return on Super star stock is 18 percent, what is the intrinsic value of the stock as per the Dividend discount model?

Please explain with a pen and paper and not on excel. Please explain how to solve for P0.