FASB ASC 260 requires basic EPS to be calculated using income available to common stockholders divided by weighted-average common shares outstanding. The key data includes net income of $5,000,000, declared noncumulative preferred dividends of $800,000, and 2,000,000 weighted-average common shares. The correct answer of $2.10 properly calculates income available to common as $5,000,000 - $800,000 = $4,200,000, then divides by 2,000,000 shares to get $2.10. Answer B ($2.50) incorrectly ignores the preferred dividends, Answer C ($2.60) uses an incorrect calculation, and Answer D ($2.00) appears to overstate the preferred dividend deduction. For noncumulative preferred stock, only declared dividends are deducted from net income, unlike cumulative preferred where dividends accrue regardless of declaration. This framework ensures that EPS reflects only the earnings attributable to common stockholders after satisfying preferred dividend obligations.

Basic EPS = Net Income / Weighted-Average Common Shares Outstanding (WACSO). The 200,000 shares were outstanding for the full 12 months, and the 60,000 shares were outstanding for 9 months (April 1 to December 31). WACSO = (200,000 × 12/12) + (60,000 × 9/12) = 200,000 + 45,000 = 245,000 shares. Basic EPS = $490,000 / 245,000 = $2.00. Distractor A incorrectly uses year-end shares (490,000/260,000). Distractor C incorrectly weights new shares for 3 months instead of 9. Distractor D incorrectly uses beginning shares only.

To calculate weighted-average common shares outstanding (WACSO), stock dividends are treated as if they occurred at the beginning of the period. The beginning shares and any shares issued before the dividend are multiplied by (1 + dividend percentage).

1. Restate beginning shares for the dividend: 100,000 shares × 1.10 = 110,000 shares. These are outstanding for the full year.
2. Calculate weighted shares for the new issuance (which occurred after the dividend and is not affected by it): 30,000 shares × 2/12 = 5,000 shares.
3. Total WACSO = 110,000 + 5,000 = 115,000 shares.
4. Basic EPS = Net Income / WACSO = $345,000 / 115,000 = $3.00.

Distractor A ($2.76) results from applying the dividend only from October 1 and not retroactively. Distractor B ($2.82) results from incorrectly applying the dividend to the shares issued on Nov 1. Distractor D ($3.14) results from ignoring the new issuance on Nov 1.

Stock splits are applied retroactively to all shares outstanding before the split. Beginning shares adjusted for split: 300,000 × 2 = 600,000 shares (treated as outstanding from January 1). Treasury stock purchase: 40,000 shares held for 3 months (October 1 to December 31). Weighted reduction = 40,000 × 3/12 = 10,000 shares. WACSO = 600,000 - 10,000 = 590,000 shares. Basic EPS = $1,180,000 / 590,000 = $2.00. Distractor B would result from using $1,140,000 net income. Distractor D ignores the stock split's effect on the denominator.

Basic EPS is calculated as (Net Income - Preferred Dividends) / Weighted-Average Common Shares Outstanding.

Because the preferred stock is cumulative, the preferred dividends must be subtracted from net income regardless of whether they were declared.

Preferred Dividend Amount = 100,000 shares × $50 par × 8% = $400,000.

Income available to common shareholders = $1,500,000 - $400,000 = $1,100,000.

Weighted-average common shares = 500,000 (since it was constant).

Basic EPS = $1,100,000 / 500,000 = $2.20.

Distractor B ($2.33) is incorrect. Distractor C ($3.00) incorrectly ignores the preferred stock dividends ($1,500,000 / 500,000). Distractor D ($3.80) is incorrect and may result from a calculation error.

Basic EPS is calculated as (Net Income - Preferred Dividends) / Weighted-Average Common Shares Outstanding.

For non-cumulative preferred stock, dividends are subtracted from net income only if they are declared in the period.

Since Apex's board did not declare any dividends, there is no deduction for preferred dividends in the EPS calculation for Year 1.

Income available to common shareholders = $800,000 - $0 = $800,000.

Weighted-average common shares = 200,000.

Basic EPS = $800,000 / 200,000 = $4.00.

Distractor A ($2.50) incorrectly subtracts the potential preferred dividend ($800,000 - (50,000 * $100 * 0.06)) / 200,000 = $500,000 / 200,000 = $2.50. This would be the correct treatment for cumulative preferred stock. Distractors B and D are incorrect calculations.

Use the treasury stock method for stock options. Proceeds from exercise = 10,000 options × $20 = $200,000. Shares assumed repurchased = $200,000 ÷ $25 average market price = 8,000 shares. Incremental shares = 10,000 options exercised - 8,000 repurchased = 2,000 shares. Diluted WACSO = 500,000 + 2,000 = 502,000 shares. Diluted EPS = $950,000 ÷ 502,000 = $1.89. Distractor A is a calculation error. Distractor C ($1.90) is basic EPS. Distractor D is a calculation error.

Use the if-converted method for convertible bonds. First check for dilution: Basic EPS = $2,000,000 ÷ 800,000 = $2.50. After-tax interest = $1,000,000 × 6% × (1 - 0.25) = $45,000. Conversion shares = ($1,000,000 ÷ $1,000) × 40 = 40,000 shares. Individual EPS effect = $45,000 ÷ 40,000 = $1.125. Since $1.125 < $2.50, the bonds are dilutive. Adjusted numerator = $2,000,000 + $45,000 = $2,045,000. Diluted WACSO = 800,000 + 40,000 = 840,000. Diluted EPS = $2,045,000 ÷ 840,000 = $2.43. Distractor C is basic EPS.

Stock options are considered antidilutive and are excluded from the diluted EPS calculation if their exercise price is greater than the average market price of the stock. In this case, the exercise price ($40) is greater than the average market price ($35). If exercised, the options would be 'out of the money,' and the treasury stock method would result in repurchasing more shares than were issued, which would decrease the share count and improperly increase EPS. Therefore, they are antidilutive and ignored.

Distractor A is incorrect because the options are antidilutive. Distractor C is incorrect because potential dilution is calculated whether or not the options are exercised. Distractor D is incorrect because the treasury stock method uses the average market price, not the year-end price.

To determine if a convertible security is dilutive, its individual EPS effect must be calculated and compared to basic EPS.

Individual EPS effect = (After-tax interest saved) / (New shares from conversion).

Interest expense = $1,000,000 × 8% = $80,000.

After-tax interest = $80,000 × (1 - 0.20) = $64,000.

New shares = 30,000.

Individual EPS effect = $64,000 / 30,000 = $2.13.

Since the individual effect ($2.13) is greater than the basic EPS ($2.00), the security is antidilutive and must be excluded from the diluted EPS calculation.

Distractor A is incorrect because the security is antidilutive. Distractor C is incorrect because it uses the pre-tax interest amount. Distractor D provides an illogical reason for exclusion.