Omicron Technologies has $60 million in excess cash and no debt. The firm expects to generate additional free cash flows of $48 million per year in subsequent years and will pay out these future free cash flows as regular dividends. Omicron's unlevered cost of capital is 10% and there are 12 million shares outstanding. Omicron's board is meeting to decide whether to pay out its $60 million in excess cash as a special dividend or to use it to repurchase shares of the firm's stock. Assume that Omicron uses the entire $60 million to repurchase shares. The amount of the regular yearly dividends in the future is closest to. A) $4.45
B) $3.56
C) $5.34
D) $8.90

The closest answer is option (A) $4.45

Explanation:

Solution

Now

Let us assume that Omicron spends the entire $60 million to re-bought shares.

Thus

The amount of the regular yearly dividends in the future is nearest to:

Enterprise value =$48/0.10 = $480 million

So

The market value = Enterprise value + cash = $480 + $60 = $540 million

Share price = market value / shares outstanding = $540 million / 12 million = $45

Now

The number of shares re-bought = $60 million / $45 = 1,333,333 shares

Shares outstanding = 12,000,000 - 1,333,333 = 10,666,667

Dividend = $48 million free cash flow / 10,666,667 = $4.49

Therefore The amount of the regular yearly dividends in the future is closest to $4.45

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