Answer:
The stock's value per share is $90.09.
Step-by-step explanation:
In order to estimate the value of the share, first we have to estimate the value of the company at year 0 (today). We start from the FCF, that is equal to 200,000,000 (year 1). The formula of the company's value is
, where g is the constant rate of grow (5%). So, the value of the company at year 1 is
.
The next step is to obtain the value at year 0, with the formula
. So
![3,500,000,000 / (1,11) = 3,153,153,153.15](https://img.qammunity.org/2020/formulas/business/college/epor7b7galge7tcug14vspi4i0rgua6akp.png)
Finally, the stock's value per share is
![Year.0.value/stock = 3,153,153,153.15/35,000,000 = <strong>90.09</strong>](https://img.qammunity.org/2020/formulas/business/college/rg9g0ieh09nheu58wqw0wspsac8emehier.png)