We present $2$ examples of the corporate valuation model. In the first problem, we assume that the firm is a mature company so its free cash flows grow at a constant rate. In the second problem, we assume that the firm has a period of nonconstant growth.

Quantitative Problem $1$: Assume today is December $31,2019.$ Barrington Industries expects that its $2020$ after$-$tax operating income $[$EBIT$(1-$ T$)]$ will be $$450$ million and its $2020$ depreciation expense will be $$70$ million. Barrington's $2020$ gross capital expenditures are expected to be $$120$ million and the change in Its net operating working capital for $2020$ will be $$30$ million. The firm's free cash flow is expected to grow at a constant rate of $6\%$ annually. Assume that its free cash flow occurs at the end of each year. The firm's weighted average cost of capital is $8\%$; the market value of the company's debt is $$2\mathrm{.}8$ billion; and the company has $190$ million shares of common stock outstanding. The firm has no preferred stock on its balance sheet and has no plans to use it for future capital budgeting projects. Also, the firm has zero non$-$operating assets. Using the corporate valuation model, what should be the company's stock price today $($December $31,2019)?$ Do not round intermediate calculations. Round your answer to the nearest cent. $ per share

Quantitative Problem $2$: Hadley Inc. forecasts the year$-$end free cash flows $($in millions$)$ shown below.

$\backslash$table$[[$Year$,1,2,3,4,5],[$FCF$,-$$$22\mathrm{.}8,$$$38\mathrm{.}5,$$$43\mathrm{.}5,$$$51\mathrm{.}8,$$$55\mathrm{.}4$