1. The Core Basic EPS Equation
Basic EPS measures the amount of net profit or loss for a period that is attributable to ordinary equity holders of the parent entity. It is calculated as follows:
Basic EPS = Net Profit or Loss Attributable to Common Shareholders / Weighted-Average Number of Common Shares Outstanding
 
2. Adjusting the Numerator for Preferred Dividends
The numerator must represent earnings available solely to common shareholders. Therefore, net income must be reduced by the after-tax amount of any preferred dividends:
  • Non-Cumulative Preferred Shares: Deduct the amount of dividends formally declared by management during the reporting period.
  • Cumulative Preferred Shares: Deduct the full contractually required dividend for the period, regardless of whether the dividends have been declared or paid. If the company faces a net loss, this dividend increase still expands the total net loss available to common shareholders.

3. Constructing the Denominator: Time-Weighting Mechanics
The denominator is the weighted-average number of common shares outstanding during the period. Shares are time-weighted based on the exact number of days they were outstanding relative to the total days in the period.
Weighted-Average Shares = Σ(Shares Outstanding × Time-Weighting Fraction)
  • Shares Issued for Cash: Included in the pool from the exact date that consideration becomes receivable (typically the closing date).
  • Shares Repurchased (Treasury Stock): Deducted from the share pool from the exact date the buyback occurs, reducing the weighted-average count.

 
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