Superior Inc. is starting a new project. It plans to develop an online platform that allows for $3$D printing of online purchases. This would effectively reduce the online purchases' delivery times to minutes. It expects this new product to be a great success and bring rapidly growing profits in the first few years. After that, it expects the competition to kick in which will reduce the growth of annual profits. The dividends on Superior Inc.$\text{'}$s shares will be growing accordingly. Here is the exact schedule of expected future dividends:

Most recently paid dividend is $$5$

Expected annual growth rate of dividends for the first $4$ years is $50\%$

Expected annual growth rate of dividends after that is $14\%$

Discount rate for this company is $16\%$

Calculate the price per share of stock of Superior Inc.