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Assume that Rose Corporation's (RC)EBIT is not expected to grow in the future and that all earnings are paid out as dividends.RC is currently an all-equity firm.It expects to generate earnings before interest and taxes (EBIT)of $6 million over the next year.Currently RC has 5 million shares outstanding and its stock is trading for a price of $12.00 per share.RC is considering borrowing $12 million at a rate of 6% and using the proceeds to repurchase shares at the current price of $12.00.
-Show mathematically that the stock price of RC won't change following the debt issuance and share repurchase.
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