Hi Julio,
I realize there have already been several questions about this task, but I’d like to ask for some clarification once more.
The task specifically states: “What is the realized return of the stock after the issuance announcement?” — not after the actual issuance of debt or the execution of the share buyback.
Given that, my understanding is as follows:
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The number of shares should remain at 0.5 million.
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Based on the video lecture slides, following the announcement of a positive NPV project, only the value of the NPV (in this case, €1 million) is added to the firm value. The stock price adjusts accordingly.
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Therefore, the new equity value becomes €11 million after the announcement, implying a stock price of €22 (€11M / 0.5M shares), which results in a 10% return ((22 – 20) / 20).
My question is: Why are we already accounting for the share buyback (reducing shares to 0.45 million and equity to €10 million) immediately after the announcement, even though the debt issuance and buyback haven't yet occurred? Using the adjusted figures (€10M / 0.45M shares), the stock price would be €22.22, which implies a return of only 11.11% (what seems like the right solution according to your slides).
Also for 3d: Why do we multiply the resulting stock price of €24, which reflects a 20% return, by the number of shares after the buyback (0.45 million) to arrive at an equity value of €10.8 million, leading to a PV(ITS) of €0.8 million? Shouldn’t we still be using the original number of shares (0.5 million), since we are only at the announcement date, and the buyback hasn’t been executed yet?
Thanks again for your help!