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A company has just announced a 3-for-1 stock split, effective immediately. Prior to thesplit, the company had a market value of $5 billion with 100 million shares outstanding.Assuming the split conveys no new information about the company, what are the value ofthe company, the number of shares outstanding, and the price per share after the split? Ifthe actual market price immediately following the split is $17.00 per share, what does thistell us about market efficiency?

Question

A company has just announced a 3-for-1 stock split, effective immediately. Prior to thesplit, the company had a market value of 5billionwith100millionsharesoutstanding.Assumingthesplitconveysnonewinformationaboutthecompany,whatarethevalueofthecompany,thenumberofsharesoutstanding,andthepricepershareafterthesplit?Iftheactualmarketpriceimmediatelyfollowingthesplitis5 billion with 100 million shares outstanding.Assuming the split conveys no new information about the company, what are the value ofthe company, the number of shares outstanding, and the price per share after the split? Ifthe actual market price immediately following the split is 17.00 per share, what does thistell us about market efficiency?

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Solution

  1. After the 3-for-1 stock split, the number of shares outstanding will triple. So, the new number of shares outstanding will be 100 million * 3 = 300 million shares.

  2. The value of the company does not change due to a stock split. So, the market value of the company remains $5 billion.

  3. The price per share after the split can be calculated by dividing the total market value by the new number of shares outstanding. So, the new price per share is 5billion/300millionshares=5 billion / 300 million shares = 16.67 per share.

  4. If the actual market price immediately following the split is 17.00pershare,thisishigherthantheexpectedpricepershareof17.00 per share, this is higher than the expected price per share of 16.67. This could suggest that the market is not perfectly efficient, as the price has deviated from the fundamental value. However, it could also be due to other factors, such as new information entering the market or changes in demand for the stock. It's also possible that the price could adjust back to the fundamental value over time. In an efficient market, prices quickly adjust to reflect all available information, so any deviations from fundamental values should be temporary.

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