31. The following information was obtained from a company’s 10-k.
Number of shares outstanding, June 30, 20x2 |
1,500,000 |
Issuance of shares, September 30, 20x2 |
1,000,000 |
Repurchase of shares, December 31, 20x2 |
500,000 |
Stock split, March 31, 20x3 |
3-for-1 |
Firm’s weighted average number of shares outstanding for the one-year period ended June 30,20x3 is closest to:
A.
3,000,000.
B.
4,500,000.
C.
6,000,000.
D.
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Ans: C.
The weighted average number of shares outstanding is time weighted: 3/12 of the year there were 1,500,000 shares, 3/12 of the year there were 2,500,000 (1,500,000+1,000,000),3/12 of the year there were 2,000,000 (1,500,000+1,000,000-500,000) on a pre-split basis (the stock split is treated retroactively to the start of the year), and 3/12 of the year there were 6,000,000 (=2,000,000 x 3)
Weighted average number of shares outstanding for the one-year period:
[(1,500,000 x 3/12) + (2,500,000 x 3/12)+(2,000,000 x 2/12)] x 3+6,000,000 x 3/12= 6,000,000
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