LOS h: Differentiate between dilutive and antidilutive securities, and discuss the implications of each for the earnings per share calculation.

Moulding’s basic EPS (net income / weighted average common shares outstanding) was $13,820,000 / 2,600,000 = $5.32.

Using the treasury stock method to compute diluted EPS, if the options were exercised, cash inflow would be 10,000 × 10 × $40 = $4,000,000. Based on the average share price of $58.00, the number of Moulding shares that can be purchased with the cash flow is $4,000,000 / $58 = 68,966. The number of shares that would have been created is 100,000 – 68,966 = 31,034. Diluted EPS was $13,820,000 / (2,600,000 + 31,034) = $5.25.

If all of Valuable’s potentially dilutive securities were antidilutive, then EPS would equal diluted EPS.

To compute Hampshire’s basic EPS ((net income – preferred dividends) / weighted average common shares outstanding), the weighted average common shares must be computed. 100,000 shares were outstanding from January 1, and 30,000 shares were issued on September 1, so the weighted average is 100,000 + (30,000 × 4 / 12) = 110,000. Basic EPS is ($2,800,000 – (10,000 × $1,000 × 0.06)) / 110,000 = $20.00.

If the warrants were exercised, cash inflow would be 10,000 × $150 × 10 = $15,000,000 for 10 × 10,000 = 100,000 shares. Using the treasury stock method, the number of Hampshire shares that can be purchased with the cash inflow (cash inflow / average share price) is $15,000,000 / $250 = 60,000. The number of shares that would be created is 100,000 – 60,000 = 40,000. Diluted EPS is $2,200,000 / (110,000 + 40,000) = $14.67.

Feder’s basic earnings per share ((net income – preferred dividends) / weighted average shares outstanding) was (($7,650,000 – ($1,000 × 10,000 × 0.06)) / 1,100,000 =) $6.41.

If the convertible preferred stock was converted to common stock at January 1, (10,000 × 20 =) 200,000 additional common shares would have been issued, dividends on the preferred stock would not have been paid, and Diluted EPS would have been ($7,650,000 / (1,100,000 + 200,000) = $5.88. Because $5.88 is less than basic EPS of $6.41, the preferred shares are dilutive.

Using the treasury stock method, if the options were exercised cash inflow would be (70,000 × 10 × $50 =) $35,000,000. The number of Feder shares that can be purchased with the inflow (cash inflow divided by the average share price) is ($35,000,000 / $62 =) 564,516.

The number of shares that would have been created is (700,000 – 564,516 =) 135,484. Diluted EPS was ($7,650,000 / (1,100,000 + 135,484) =) $6.19. Because this is less than the EPS of $6.41, the options are dilutive.

Combining the calculations, Diluted EPS was (($7,650,000) / (1,100,000 + 200,000 + 135,484) = $5.32.

The treasury stock method would allow the 1 million additional shares to be partially offset by the number of shares that could be repurchased with the amount of money received for those shares. In this case, the 1 million shares issued would be offset by (1,000,000 × $42 / $56) or 750,000 shares.

The calculation for basic EPS excludes the impact of complex capital elements.

As we will show below, only the options and convertible preferred stock are dilutive.

First, calculate basic EPS to use as a benchmark to determine dilutive capital components.
Basic EPS = (net income – preferred dividends) / weighted average common shares outstanding
Here, preferred dividends = (0.5 shares × $30 par × 0.10 dividend) = $1.5 million = (9.0 – 1.5) / 5.0 = $1.50.

Now, check for dilutive elements.

• options are dilutive because the exercise price is less than the stock price. There is no numerator impact from the options. The denominator impact = # options – [(# options × exercise price) / average stock price)] = 400,000 – [(400,000 × 32) / 35] = 34,286 or 0.034 million.

• To check whether the convertible preferred stock is dilutive we need to determine whether it decreases EPS. To the numerator, we add back the preferred dividend. The denominator impact = (# preferred shares × conversion rate) = 500,000 × 5 = 2,500,000, or 2.5 million. Then, EPS = (9.0 – 1.5 + 1.5) / (5.0 + 2.5) = $1.20. Thus the convertible preferred stock is dilutive.

• To check whether the convertible bonds are dilutive we need to determine whether they decrease EPS. To the numerator, we add back the after-tax impact of the coupon, or (face value × coupon × (1 ? t)), or (10,000 bonds × 1,000 par × 0.06 coupon × 0.6 ) = 360,000, or $0.360 million. The denominator impact = (# convertible bonds × conversion rate) = 10,000 × 8 = 80,000, or 0.080 million. Then, EPS = (9.0 – 1.5 + 0.360) / (5.0 + 0.080) = $1.55. Thus the bonds are antidilutive.

Finally, calculate dilutive EPS:
Diluted EPS = (9.0 – 1.5 + 1.5) / (5.0 + 2.5 + 0.034) = approximately $1.19

Not all preferred stock is dilutive. Only convertible preferred stock is potentially dilutive.

Preferred stock and bonds are only considered to be potentially dilutive if they are convertible. Options are always considered to be potentially dilutive.

Dilutive securities are securities that decrease EPS if they are exercised or converted to common stock. When the exercise price is less than the average market price, stock options are considered to be dilutive, Stock options, warrants, convertible debt, and convertible preferred stock are examples of potentially dilutive securities.

Dilutive securities are securities that decrease EPS if they are exercised or converted to common stock. Stock options, warrants, convertible debt, and convertible preferred stock are examples of potentially dilutive securities. Note that if diluted EPS when considering the convertible bonds is greater than basic EPS, the convertible bonds would be antidilutive and should not be treated as common stock in computing diluted EPS.

Dilutive securities are securities that decrease EPS if they are exercised or converted to common stock. Stock options, warrants, convertible debt, and convertible preferred stock are examples of potentially dilutive securities. Note that if diluted EPS when considering the convertible preferred stock is greater than basic EPS, the convertible preferred stock would be antidilutive and should not be treated as common stock in computing diluted EPS.

Antidilutive securities are securities that would increase EPS if exercised or converted to common stock.

Doors basic earnings per share (EPS) was ($372,000 / 100,000 =) $3.72. If the bonds were converted, interest payments would not have been made. Net income is increased by the interest paid on the bonds net of taxes: $372,000 + (($1000 × 2,000 × 0.06) × (1 ? 0.40)) = $444,000.

Diluted EPS was $444,000 / (100,000 + (2,000 × 25)) = $2.96.

To compute Gerrard’s basic earnings per share (EPS) ((net income – preferred dividends) / weighted average common shares outstanding), the weighted average common shares outstanding must be computed. 700,000 shares were outstanding from January 1, and 200,000 shares were issued on March 1, so the weighted average is 700,000 + (200,000 × 10 / 12) = 866,667. Basic EPS was $330,000 ? (2,000 × $500 × 0.08)) / 866,667 = $0.289.

If the convertible preferred shares were converted to common stock, 2,000 × 200 = 400,000 additional common shares would have been issued and dividends on the preferred stock would not have been paid. Diluted EPS was $330,000 / (866,667 + 400,000) = $0.261.

Protocol’s basic EPS (net income / weighted average common shares outstanding) was $4,800,000 / 800,000 = $6.00. Diluted EPS is calculated under the assumption that the convertible bonds were converted into common stock, and the bond interest net of tax was restored to net income. The common shares from the conversion of the bonds are added to the denominator of the equation. Protocol’s Diluted EPS was [$4,800,000 + (5,000 × $1,000 × 0.08)(1 ? 0.40)] / [800,000 + (5,000 × 25)] = $5.45.