Question

In: Finance

A company generated free cash flow of $57 million during the past year. Free cash flow is expected to increase 5% over the next year and then at a stable 2.9% rate in perpetuity thereafter

A company generated free cash flow of $57 million during the past year. Free cash flow is expected to increase 5% over the next year and then at a stable 2.9% rate in perpetuity thereafter. The company's cost of capital is 8.1%. The company has $434 million in debt, $39 million of cash, and 39 million shares outstanding. What's the value of each share?



a. 4.8



b. 8.3



c. 5.6



d. 17.8



e. 19.4

Solutions

Expert Solution

The value is computed as follows:

= Free cash flow next year / (1 + cost of capital) + 1 / (1 + cost of capital) x [ (Free cash flow next year x (1 + growth rate) / (cost of capital - growth rate) ]

= ($ 57 million x 1.05) / 1.081 + 1 / 1.081 x [ ($ 57 million x 1.05 x 1.029) / (0.081 - 0.029) ]

= $ 59.85 million / 1.081 + $ 1,184.339423 million / 1.081

= $ 1,244.189423 million / 1.081

= $ 1,150.961538 million

So, the per share value will be:

= (Value computed above - debt + cash) / Number of shares outstanding

= ($ 1,150.961538 million - $ 434 million + $ 39 million) / 39 million shares

= $ 755.9615385 million / 39 million shares

= $ 19.4 Approximately


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