a-1). Initial shares outstanding = 2 million = 2,000,000
After the 2:1 stock split, shares outstanding will be 2,000,000*(2/1) = 4,000,000 or 4 million
a-2). Par value of the stock:
Initial total par value of the stock = par value per share* initial shares outstanding
= 10*2,000,000 = 20,000,000
The total par value will not change after the stock split, so the new par value will be
total par value/shares outstanding after the 2:1 split = 20,000,000/4,000,000 = $5 per share
b-1). Shares outstanding after a 3:1 split = 2,000,000*(3/1) = 6,000,000 or 6 million
b-2). New par value per share = 20,000,000/6,000,000 = $3.33 per share
c). EPS before = earnings/shares outstanding = 10 million/2 million = $5.00
EPS after 2:1 split = earnings/shares outstanding = 10 million/4 million = $2.50
EPS after 3:1 split = earnings/shares outstanding = 10 million/6 million = $1.67
d). Price per share after the 2:1 split:
Initial price per share (p) = 90
Initial shares outstanding (s) = 2,000,000
Initial market capitalization (M) = p*s = 90*2,000,000 = 180,000,000
Total shares after 2:1 stock split (n) = 4,000,000
Therefore, price per share = M/n = 180,000,000/4,000,000 = $45.00
Price per share after 3:1 split:
Total shares after 3:1 split (n) = 6,000,000
Price per share = M/n = 180,000,000/6,000,000 = $30.00
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