Respuesta :
Answer:
The diluted EPS is $1.65
Explanation:
Solution
The Numerator (Basic EPS):
The Net income = $1,050 million
The Preferred dividends= 3mn * 9% * $ 100 = $ 27 million
because the preferred stock is cumulative, the dividend is deducted whether or not paid)
The Denominator (Basic EPS): Weighted average Number of shares
Now,
common stock outstanding (1/1 – 12/31)  600 million x (12/12) *1.05  = 630 million
The Treasury shares purchased (3/1 – 12/31)  (24) million x (10/12) *1.05  =(21) million
The  shares  treasury sold  (10/1 – 12/31)  (4) million x (3/12)  =1
The average  weighted number of shares  =610 million
so,
Basic EPS = ($1,050-27) ÷ 610 = $1.68
Stock Options
The stock choice are dilutive because exercise price is lesser than market price of $ 70 per share.
By applying the treasury stock method.
Exercise is supposed to take place at the later of the date of issue (9/13/21) or the beginning of the year (1/1/21). Assume exercise 1/1/21
The Treasury Stock Method suggests that the proceeds received upon exercise of $1,680 (30 million x $56) are used to purchase back stock at the market price average, for example  $1,680 ÷ $70 = 24 million
The net goes higher in the number of shares = 6 million  (30 million issued upon exercise – 24 million repurchased)
Convertible Bonds
By applying method if bonds are transformed into common stock. Â however,a step by step approach to calculate nature of dilution. is determined
Now,
The shares issued on conversion = 6 million
The Interest paid, net of tax = $3 [(8% x $50) x 75%]
The Interest per shares issued = 3/6 = $ 0.5 per share
The EPS without assumed conversion = ($1,050 - $27+3) ÷ (610 + 6+6) = $1.65
The convertible bonds are dilutive because $1.65 is less than $1.68
Therefore, diluted EPS = ($1,050 - $27+3) ÷ (610 + 6+6) = $1.65
When the Berclair's basic and diluted earnings per share for the year ended December 31, 2021, Then, The diluted EPS is = $1.65
Computation of Tax Rate
The Numerator (Basic EPS):
Then, The Net income is = $1,050 million
After that, The Preferred dividends is = 3mn * 9% * $ 100 = $ 27 million
because When the preferred stock is cumulative, Then, the dividend is deducted whether or not paid)
When The Denominator (Basic EPS): Weighted average Number of shares
Now, When the common stock outstanding (1/1 – 12/31) 600 million x (12/12) *1.05 is = 630 million
When The Treasury shares purchased (3/1 – 12/31) (24) million x (10/12) *1.05 is = (21) million
Although, The shares treasury sold (10/1 – 12/31) (4) million x (3/12) =1
When The average weighted number of shares is = 610 million
so,
The Basic EPS is = ($1,050-27) ÷ 610 = $1.68
Then the Stock Options are:
When The stock choice is dilutive because the exercise price is lesser than the market price of $ 70 per share.
Now, By applying the treasury stock method.
The Exercise is supposed to take place at the later date of issue (9/13/21) or the beginning of the year (1/1/21). Then, Assume exercise 1/1/21
After that, The Treasury Stock Method suggests that the proceeds received upon exercise of $1,680 (30 million x $56) are used to purchase back stock at the market price average, for example, $1,680 ÷ $70 is = 24 million
When The net goes higher the number of shares is = 6 million (30 million issued upon exercise – 24 million repurchased)
Now, Convertible Bonds
Then, By applying the method if bonds are transformed into common stock. however, When a step by step approach to calculating the nature of dilution. is determined
Now,
The shares issued on conversion is = 6 million
The Interest paid, net of tax is = $3 [(8% x $50) x 75%]
The Interest per shares issued is = 3/6 = $ 0.5 per share
The EPS without assumed conversion is = ($1,050 - $27+3) ÷ (610 + 6+6) = $1.65
After that, The convertible bonds are dilutive because $1.65 is less than $1.68
Thus, diluted EPS = ($1,050 - $27+3) ÷ (610 + 6+6) = $1.65
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