CFA Level 1: Calculation of Diluted EPS

Calculation of Diluted EPS

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Question

Suppose the average stock price in the above example were 40. How many shares will be used in the calculation of Diluted EPS now?

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A. B. C. D.

Explanation

Since the average stock price now exceeds the strike price, the warrants are assumed converted. The proceeds from the exercise equal 800,000*35 = 28 million.

The Treasury Stock method assumes a purchase of shares at 40 using these proceeds. Thus, the number of shares repurchased = 28,000,000/40 = 700,000.

Thus, the additional shares arising from warrant exercise equals 800,000 - 700,000 = 100,000. Now, in the Treasury Stock method, options and warrants are assumed to be exercised at the beginning of the period or at the time of issuance, whichever is later. Thus, in this case, the addition 100,000 shares have been outstanding since May 31, 1998. So the weighted number of shares for Diluted EPS = 1 million + 200,000*9/12 + 100,000*7/12 = 1,208,333 shares.