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Answer :
if 800 shares are tendered, XYZ will buy from each investor 25% of the shares tendered. Ignoring taxes, The price of a share immediately after the repurchase will be $97.5, and the share price when the tender offer is announced will not change.
What are the shares?
To be able to calculate the price of a share immediately after the repurchase, one need need to know the total number of shares repurchased and the remaining shares left.
Note that:
XYZ has 1000 shares outstanding at a price of $100 per share.
If XYZ repurchases 200 shares at a price of $110 per share, so the total cash outflow for the repurchase is:
200 shares x $110 = $22,000.
Note that If exactly 200 shares are given then:
If XYZ will repurchase all 200 tendered shares, leaving:
1000 - 200 = 800 shares remaining.
The remaining shares will have a value of:
$22,000/ 800 shares = $27.5 per share.
Also, If more than 200 shares are tendered (if 800 shares):
So, if XYZ will repurchase 25% of the tendered shares from each investor.
Then, XYZ will repurchase 25% x 800 shares = 200 shares.
So, the remaining shares will be:
1000 - 200 = 800 shares.
The remaining shares will still have a value of:
$22,000/800 shares = $27.5 per share.
So, As for the share price when the tender offer is said, it is one that remain unchanged at $100 per share due to the fact that the repurchase has not yet taken place.
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