标题: Reading 32: Understanding the Income Statement LOS H习题精选 [打印本页]
作者: honeycfa 时间: 2010-4-17 21:27 标题: [2010]Session 8-Reading 32: Understanding the Income Statement LOS H习题精选
[2010]Session 8-Reading 32: Understanding the Income Statement LOS G习题精选
Moulding Company’s net income was $13,820,000 with 2,600,000 shares outstanding. The average share price for the year was $58.00. Moulding had 10,000 options to purchase 10 shares each at $40 per share outstanding the entire year. Moulding Company’s diluted earnings per share are closest to:
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.
作者: honeycfa 时间: 2010-4-17 21:27
Valuable Corp.’s basic earnings per share (EPS) and diluted EPS for the year are different. Given this information, which of the following statements is least accurate?
A) |
Diluted EPS is less than basic EPS. | |
B) |
Valuable Corp.'s capital structure may include both options and warrants. | |
C) |
All of Valuable's potentially dilutive securities are antidilutive. | |
If all of Valuable’s potentially dilutive securities were antidilutive, then EPS would equal diluted EPS.
作者: honeycfa 时间: 2010-4-17 21:28
An analyst compiled the following information from Hampshire, Inc.’s financial activities in the most recent year:
- Net income was $2,800,000.
- 100,000 shares of common stock were outstanding on January 1.
- The average market price per share for the year was $250.
- 10,000 shares of 6%, $1,000 par value preferred shares were outstanding the entire year.
- 10,000 warrants, which allow the holder to purchase 10 shares of common stock for each warrant held at a price of $150 per common share, were outstanding the entire year.
- 30,000 shares of common stock were issued on September 1.
Hampshire, Inc.’s diluted earnings per share are closest to:
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.
作者: honeycfa 时间: 2010-4-17 21:28
Selected information from Feder Corp.’s financial activities for the year is as follows:
-
Net income was $7,650,000.
-
1,100,000 shares of common stock were outstanding on January 1.
-
The average market price per share was $62.
-
Dividends were paid during the year.
-
The tax rate was 40%.
-
10,000 shares of 6% $1,000 par value preferred shares convertible into common shares at a rate of 20 common shares for each preferred share were outstanding for the entire year.
-
70,000 options, which allow the holder to purchase 10 shares of common stock at an exercise price of $50 per common share, were outstanding the entire year.
Feder Corp.’s diluted earnings per share (EPS) was closest to:
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.
作者: honeycfa 时间: 2010-4-17 21:28
In applying the treasury stock method, if warrants allow the purchase of 1 million shares at $42 per share when the average price is $56 per share, how many shares will be added to the firm’s weighted average number of shares outstanding?
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.
作者: honeycfa 时间: 2010-4-17 21:29
Cassie Hamilton is an analyst with Pacers Worldwide, an investment banking firm. She just received the following information (as of year-end) for Trotters Diversified:
- Average common shares outstanding of 5.0 million.
- Average market price for common stock of $35.00 per share.
- Net income of $9.0 million.
- Common stock dividends paid of $1.2 million.
- Preferred dividends paid (on convertible preferred stock noted below) of $1.5 million.
- Tax rate of 40%.
- 500,000 shares of cumulative convertible preferred stock with $30 par value and 10% dividend. Each preferred share is convertible into 5 common shares.
- 10,000 convertible $1,000 par bonds with a 6.0% coupon, each convertible into 8 shares of common stock.
- 400,000 stock options recently issued with an exercise price of $32.00 per share.
In the denominator of the basic EPS calculation, Hamilton should include how many shares related to the convertible bonds?
The calculation for basic EPS excludes the impact of complex capital elements.
Hamilton correctly calculates diluted EPS at approximately:
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
作者: honeycfa 时间: 2010-4-17 21:29
Empire Watch Company’s basic earnings per share (EPS) and diluted earnings per share (Diluted EPS) were both $2.00 in 2004, in 2005 basic EPS was $2.50 but Diluted EPS was $2.25. The fact that basic EPS and diluted EPS were the same in 2004 and different in 2005 could possibly be explained by any of the following EXCEPT:
A) |
the average price per share of Empire Watch's common stock was higher in 2005. | |
B) |
Empire Watch issued convertible bonds in 2005. | |
C) |
Empire Watch purchased its own stock and held it as treasury stock in 2005. | |
The reacquisition of treasury stock affects the denominator of both the EPS and Diluted EPS equations, but does not cause identical numbers to become different. The other factors will introduce potential earning dilution and therefore could cause diluted EPS to be less than basic EPS.
作者: honeycfa 时间: 2010-4-17 21:30
All of the following are considered a potentially dilutive securities EXCEPT:
Not all preferred stock is dilutive. Only convertible preferred stock is potentially dilutive.
作者: honeycfa 时间: 2010-4-17 21:30
Examples of potentially dilutive securities include all of the following EXCEPT:
A) |
non-convertible bonds. | |
B) |
convertible preferred stock. | |
|
Preferred stock and bonds are only considered to be potentially dilutive if they are convertible. Options are always considered to be potentially dilutive.
作者: honeycfa 时间: 2010-4-17 21:30
When calculating earnings per share (EPS) for firms with complex capital structures, stock options are ordinarily considered to be:
A) |
antidilutive securities. | |
B) |
derivative securities. | |
C) |
potentially dilutive securities. | |
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.
作者: honeycfa 时间: 2010-4-17 21:30
When calculating earnings per share (EPS) for firms with complex capital structures, convertible bonds are ordinarily considered to be:
A) |
embedded debt securities. | |
B) |
potentially dilutive securities. | |
C) |
antidilutive 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.
作者: honeycfa 时间: 2010-4-17 21:31
When calculating earnings per share (EPS) for firms with complex capital structures, convertible preferred stock is ordinarily considered to be a:
|
B) |
antidilutive security. | |
C) |
potentially dilutive security. | |
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.
作者: honeycfa 时间: 2010-4-17 21:31
Which of the following statements regarding the treasury stock method of computing diluted shares is least accurate? The treasury stock method:
A) |
assumes that the hypothetical funds received by the company from the exercise of the options are used to sell shares of the company’s common stock in the market at the average market price. | |
B) |
is used when the exercise price of the option is less than the average market price. | |
C) |
increases the total number of shares by less than the number that the exercise of the options would create. | |
The treasury stock method assumes any funds received by the company from the exercise of the options are used to purchase shares (not sell shares) of the company’s common stock in the market at the average market price.
作者: honeycfa 时间: 2010-4-17 21:31
Which of the following statements is TRUE regarding the reporting of earnings per share (EPS)?
A) |
The EPS when antidilutive securities are converted into shares of common stock is less than basic EPS. | |
B) |
Basic EPS can be less than diluted EPS. | |
C) |
Diluted EPS must be less than or equal to basic EPS. | |
Antidilutive securities are securities that would increase EPS if exercised or converted to common stock.
作者: honeycfa 时间: 2010-4-17 21:32
Selected information from Doors, Inc.’s financial activities in the year 2005 included the following:
-
Net income was $372,000.
-
100,000 shares of common stock were outstanding on January 1.
-
The average market price per share was $18 in 2005.
-
Dividends were paid in 2005.
-
2,000, 6 percent $1,000 par value convertible bonds, which are convertible at a ratio of 25 shares for each bond, were outstanding the entire year.
-
Doors, Inc.’s tax rate is 40%.
Doors, Inc.’s diluted earnings per share (Diluted EPS) for 2005 was closest to:
Doors basic earnings per share (EPS) was ($372,000 / 100,000 =) $3.72. If the bonds were converted as of January1, 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.
作者: honeycfa 时间: 2010-4-17 21:32
Selected information from Gerrard, Inc.’s financial activities in the most recent year was as follows:
-
Net income was $330,000.
-
The tax rate was 40%.
-
700,000 shares of common stock were outstanding on January 1.
-
The average market price per share for the year was $6.
-
Dividends were paid during the year.
-
2,000 shares of 8% $500 par value preferred shares, convertible into common shares at a rate of 200 common shares for each preferred share, were outstanding for the entire year.
-
200,000 shares of common stock were issued on March 1.
Gerrard, Inc.’s diluted earnings per share (diluted EPS) was closest to:
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 as of January 1 (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.
作者: honeycfa 时间: 2010-4-17 21:32
Protocol, Inc.’s net income for 2005 was $4,800,000. Protocol had 800,000 shares of common stock outstanding for the entire year. The tax rate was 40 percent. The average share price in 2005 was $37.00. Protocol had 5,000 8 percent $1,000 par value convertible bonds that were issued in 2004. Each bond is convertible into 25 shares of common stock. Protocol, Inc.’s basic and diluted earnings per share for 2005 were closest to:
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 as of January 1, 2005, 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 + (5000 × 25)) =) $5.45.
作者: honeycfa 时间: 2010-4-17 21:33
Which of the following statements regarding basic and diluted earnings per share (EPS) is most accurate?
A) |
Neither basic nor diluted EPS considers antidilutive securities in its computation. | |
B) |
To calculate diluted EPS, use net income less preferred dividends in the numerator. | |
C) |
If diluted EPS is less than basic EPS then the convertible securities are said to be antidilutive. | |
To calculate diluted EPS, dividends on convertible preferred stock and the after tax interest on convertible debt need to be added to net income in the numerator. If diluted EPS are more than basic EPS, the convertible securities are antidilutive and should NOT be used in computing diluted EPS.
作者: honeycfa 时间: 2010-4-17 21:33
Which of the following statements regarding basic and diluted EPS is least accurate?
A) |
A simple capital structure contains no potentially dilutive securities. | |
B) |
Dilutive securities decrease EPS if they are exercised or converted to common stock. | |
C) |
Antidilutive securities decrease EPS if they are exercised or converted. | |
Antidilutive securities increase EPS if exercised or converted to common stock.
作者: honeycfa 时间: 2010-4-17 21:33
Orange Company’s net income for 2004 was $7,600,000 with 2,000,000 shares outstanding. The average share price in 2004 was $55. Orange had 10,000 shares of eight percent $1,000 par value convertible preferred stock outstanding since 2003. Each preferred share was convertible into 20 shares of common stock. Orange Company’s diluted earnings per share (Diluted EPS) for 2004 is closest to:
Orange’s basic EPS ((net income – preferred dividends) / weighted average common shares outstanding) is ((($7,600,000 ? (10,000 × $1,000 *times; 0.08)) / 2,000,000 =) $3.40. To check for dilution, EPS is calculated under the assumption that the convertible preferred shares are converted into common shares at the beginning of the year. The preferred dividends paid are added back to the numerator of the Diluted EPS equation, and the additional common shares are added to the denominator of the equation. Orange’s if-converted EPS is ($7,600,000 / (2,000,000 + 200,000) =) $3.45. Because if-converted EPS is higher than basic EPS, the preferred stock is antidilutive and no adjustment is made to basic EPS.
作者: honeycfa 时间: 2010-4-17 21:34
The primary difference between basic EPS and diluted EPS is that:
A) |
proprietors and partners report basic EPS but corporations report diluted EPS. | |
B) |
extraordinary items and discontinued operations are omitted from basic EPS but included in diluted EPS. | |
C) |
diluted EPS includes the potential effects of convertible securities while basic EPS does not. | |
The primary difference between basic EPS and diluted EPS is that diluted EPS includes the potential effects of convertible securities while basic EPS does not.
作者: honeycfa 时间: 2010-4-17 21:34
During 2005, Advantage paid dividends of $3 per share on its preferred stock. The preferred shares are convertible into 20,000 shares of common stock. The 8% bonds are convertible into 30,000 shares of common stock. Net income for 2005 was $850,000. Assume the income tax rate is 30%.
Calculate Advantage's basic and diluted earnings per share (EPS) for 2005.
Basic EPS = net income ? pref div / wt. ave. shares of common
[850,00 ? (3 × 10,000)] / 110,000 = $7.45
Diluted EPS = [(net income ? preferred dividends) + convertible preferred dividends + (convertible debt interest)(1 ? t)] / [(weighted average shares) + (shares from conversion of conv. pfd shares) + (shares from conversion of conv. debt) + (shares issuable from stock options)]
[(850,000 ? (3 × 10,000)) + 30,000 + (80,000)(1 ? 0.3)] / [(110,000) + (20,000) + (30,000)] = $5.66.
作者: honeycfa 时间: 2010-4-17 21:34
Securities that would decrease earnings per share (EPS) if they were exercised and converted to common stock are called:
|
|
C) |
antidilutive 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 dilutive securities.
作者: honeycfa 时间: 2010-4-17 21:35
Securities that improve basic per share earnings, or reduce per share losses, if they are exercised or converted to common stock are called:
|
B) |
antidilutive securities. | |
|
Antidilutive securities, upon exercise, increase basic EPS or decrease per share losses. Shares from conversion are not included in the calculation of basic or diluted EPS.
作者: honeycfa 时间: 2010-4-17 21:35
Which of the following statements about the earnings per share calculation are most accurate?
A) |
When calculating diluted EPS you must add the shares created from the conversion of the bonds to the denominator and the interest expense times the tax rate to the numerator. | |
B) |
If the diluted EPS is less than the basic EPS, then the diluted EPS is said to be anti-dilutive. | |
C) |
None of these choices are correct. | |
Anti-dilutive is when dilutive EPS > basic EPS. When calculating diluted EPS, you must add the shares created from the conversion of the bonds to the denominator and the interest (1 – tax rate) to the numerator.
作者: honeycfa 时间: 2010-4-17 21:35
Anti-dilutive securities should:
A) |
be used in calculating basic EPS but not diluted EPS. | |
B) |
be used in calculating diluted EPS but not basic EPS. | |
C) |
not be used in calculating basic or diluted EPS. | |
Antidilutive securities would increase EPS if exercised or converted to common stock.
作者: honeycfa 时间: 2010-4-17 21:35
How will dilutive securities affect earnings per share (EPS) when determining diluted earnings per share?
|
|
C) |
Either decrease or increase EPS depending upon if the security is dilutive or antidilutive. | |
Dilutive securities such as convertibles and options are found in a complex capital structure and always decrease EPS. Convertibles and options may also be antidilutive, which will increase EPS hence the name antidilutive. The only way to know if a security is dilutive or antidilutive is to compare the basic EPS to diluted EPS. If the diluted EPS is higher than the basic EPS then the security is antidilutive and should not be included when determining diluted EPS.
作者: honeycfa 时间: 2010-4-17 21:36
In calculating the numerator for diluted Earnings Per Share, the interest on convertible debt is:
A) |
subtracted from earnings available to common shareholders after an adjustment for taxes. | |
B) |
added to earnings available to common shareholders after an adjustment for taxes. | |
C) |
added to earnings available to common shareholders. | |
Formula = Diluted EPS = [(Net income ? Preferred dividends) + Convertible preferred dividends + (Convertible debt interest)(1 ? t)] / [(Weighted average shares) + (Shares from conversion of conv. pfd shares) + (Shares from conversion of conv. debt) + (Shares issuable from stock options)]
作者: honeycfa 时间: 2010-4-17 21:36
An analyst has gathered the following information about Artcraft, Inc. for the year:
- Net income of $30,000.
- 5,000 shares of common stock and 500 shares of 8%, $90 par convertible preferred stock outstanding during the whole year.
- Each share of convertible preferred can be converted into 4 shares of common stock.
- Last year, Artcraft issued at par, $60,000 total face value of 6.0% convertible bonds, with each of the 60 bonds convertible into 110 shares of the Artcraft common stock.
If Artcraft's effective tax rate is 40%, what will Artcraft report as diluted earnings per share (EPS)?
Diluted EPS = adjusted earnings after conversion (EAC) / weighted average plus potential common shares outstanding.
Step 1: Calculate Adjusted EAC
adjusted EAC: |
|
net income - preferred dividends |
|
+ |
dividends on convertible preferred stock |
|
+ |
after-tax interest on convertible debt |
|
= |
adjusted earnings available for common shares |
preferred dividends = convertible preferred dividends = (0.08)(90)(500) = 3,600
convertible debt interest = (60,000)(0.06)(1 – 0.40) = 2,160
adjusted EAC = (30,000 – 3,600 + 3,600 + 2,160) = $32,160
Step 2: Calculate Weighted average plus potential common shares outstanding.
weighted average common shares |
|
|
= |
5,000 |
shares from conversion of convertible preferred stock |
= |
(500 × 4) |
= |
2,000 |
shares from conversion of convertible bonds |
= |
(60 × 110) |
= |
6,600 |
weighted ave. plus potential common shares outst. |
|
|
= |
13,600 |
Step 3: Calculate Diluted EPS
Diluted EPS = 32,160 / 13,600 = $2.36.
作者: honeycfa 时间: 2010-4-17 21:36
In calculating the numerator for diluted earnings per share, the dividends on convertible preferred stock are:
A) |
added to earnings available to common shareholders with an adjustment for taxes. | |
B) |
subtracted from earnings available to common shareholders without an adjustment for taxes. | |
C) |
added to earnings available to common shareholders without an adjustment for taxes. | |
Diluted EPS = [(Net income ? Preferred dividends) + Convertible preferred dividends + (Convertible debt interest)(1 ? t)] / [(Weighted average shares) + (Shares from conversion of conv. pfd shares) + (Shares from conversion of conv. debt) + (Shares issuable from stock options)]
作者: honeycfa 时间: 2010-4-17 21:37
An analyst has gathered the following information about Barnstabur, Inc., for the year:
- Reported net income of $30,000.
- 5,000 shares of common stock and 2,000 shares of 8%, $90 par preferred stock outstanding during the whole year.
- During the year, Barnstabur issued at par, $60,000 of 6.0% convertible bonds, with each of the 60 bonds convertible into 110 shares of the Barnstabur common stock.
If Barnstabur’s effective tax rate is 40%, what will Barnstabur report for diluted earnings per share (EPS)?
Diluted EPS = adjusted earnings after conversion (EAC) / weighted average plus potential common shares outstanding.
Step 1: Calculate Adjusted EAC
adjusted EAC: |
|
net income - preferred dividends |
|
+ |
after-tax interest on convertible debt |
|
= |
adjusted earnings available for common shares |
preferred dividends = (0.08)(90)(2,000) = 14,400
convertible debt interest = (60,000)(0.06)(1 – 0.40) = 2,160
adjusted EAC = (30,000 – 14,400 + 2,160) = $17,760
Step 2: Calculate Weighted average plus potential common shares outstanding.
weighted average common shares |
|
|
= |
5,000 |
shares from conversion of convertible bonds |
= |
(60 × 110) |
= |
6,600 |
weighted ave. plus potential common shares outst. |
|
|
= |
11,600 |
Step 3: Calculate Diluted EPS
Diluted EPS = 17,760 / 11,600 = $1.53.
作者: honeycfa 时间: 2010-4-17 21:37
Selected information from Baltimore Corp’s financial activities in the year 2004 is as follows:
-
Net income was $4,200,000 .
-
750,000 shares of common stock were outstanding on January 1.
-
The average market price per share was $50 in 2004.
-
Dividends were paid in 2004.
10,000 warrants, which allowed the holder to purchase 10 shares of common stock for each warrant held at a price of $40 per common share, were outstanding the entire year.
Baltimore’s diluted earnings per share (Diluted EPS) for 2004 is closest to:
Baltimore’s basic earnings per share (EPS) (net income / weighted average shares outstanding) for 2004 was ($4,200,000 / 750,000 =) $5.60.
To calculate diluted EPS, we use the treasury stock method to account for the warrants:
- Number of common shares created if options are exercised = 10,000 * 10 = 100,000
- Cash inflow if warrants are exercised = $40 * 100,000 = $4,000,000
- Shares purchased with these funds = $4,000,000/50 = 80,000
- Net increase in shares outstanding = 100,000-80,000 = 20,000
Diluted EPS = $4,200,000/(750,000 + 20,000) = $5.45.
作者: honeycfa 时间: 2010-4-17 21:38
Quad Associates, Inc.’s net income for 2005 was $892,000 with 400,000 shares outstanding. The tax rate was 40 percent. Quad had 2,000 six percent $1,000 par value convertible bonds that were issued in 2004. Each bond was convertible into 40 shares of common stock. Quad, Inc.’s diluted earnings per share (Diluted EPS) for 2005 was closest to:
Quad’s basic EPS (net income / weighted average common shares outstanding) was ($892,000 / 400,000 = $2.23.) Diluted EPS is calculated under the assumption that the convertible bonds are converted into common stock as of January 1, 2001, the bond interest net of tax is restored to net income, and the additional common shares are added to the denominator of the equation. Quad’s diluted EPS was (($892,000 + ((2,000 × $1,000 × 0.06)(1 ? 0.40)) / (400,000 + (2,000 × 40)) =) $2.01. Note that since diluted EPS is less than basic EPS, we know that the bonds are dilutive and should be considered in calculating diluted EPS.
作者: honeycfa 时间: 2010-4-17 21:38
Kendall Company’s net income for 20X4 is $830,000 with 200,000 shares outstanding. Kendall has 1,000 6% convertible bonds (each bond $1,000 face value and convertible into 20 common shares) outstanding for the entire year. Kendall’s tax rate is 40%. What is Kendall Company’s diluted earnings per share for 20X4?
Kendall’s basic EPS is $830,000 / 200,000 = $4.15. To compute diluted EPS, bond interest paid net of taxes is added to net income, and the number of shares that would be issued in the conversion is added to the denominator. Kendall’s diluted EPS = [$830,000 + (1,000 × $1,000 × 0.06) × (1 – 0.4)] / (200,000 + 20,000) = $3.94. Since diluted EPS is less than basic EPS, we know that the bonds are dilutive and should be considered in calculating diluted EPS.
作者: honeycfa 时间: 2010-4-17 21:39
Selected information from Caledonia, Inc.’s financial activities in the year 20X6 is as follows:
- Net income = $460,000.
- 2,300,000 shares of common stock were outstanding on January 1.
- The average market price per share was $2 and the year-end stock price was $1.50.
- 1,000 shares of 8%, $1,000 par value preferred shares were outstanding on January 1. Preferred dividends were paid in 20X6.
- 10,000 warrants, each of which allows the holder to purchase 100 shares of common stock at an exercise price of $1.50 per common share, were outstanding the entire year.
Caledonia’s diluted earnings per share for 20X6 are closest to:
Caledonia’s basic EPS = (net income ? preferred stock dividends) / (weighted average common shares outstanding)
= [$460,000 ? ($1,000 × 1,000 × 0.08)] / 2,300,000 = $0.17.
Using the treasury stock method, if the warrants were exercised, cash inflow would be 10,000 × 100 × $1.50 = $1,500,000. The number of Caledonia shares that could be purchased with the inflow, using the average share price, is $1,500,000 / $2 = 750,000. The net increase in common shares outstanding would have been 1,000,000 ? 750,000 = 250,000.
Diluted EPS = $380,000 / (2,300,000 + 250,000) = $0.15.
作者: honeycfa 时间: 2010-4-17 21:39
Young Distributors, Inc. issued convertible bonds two years ago, and those bonds are the only potentially dilutive security Young has issued. In 20X5, Young’s basic earnings per share (EPS) and diluted EPS were identical, but in 20X4 they were different. Which of the following factors is least likely to explain the difference between basic and diluted EPS? The:
A) |
bonds were redeemed by Young Distributors at the beginning of 20X5. | |
B) |
bonds were antidilutive in 20X5 but not in 20X4. | |
C) |
average market price of Young common stock increased in 20X5. | |
Average stock price is not a factor in determining whether convertible bonds are dilutive or antidilutive.
If Young redeemed the bonds, they would have no potentially dilutive securities outstanding in 20X5 and diluted EPS, if the company reported it, would equal basic EPS. Basic and diluted EPS would also be equal in 20X5 if the bonds were antidilutive in that year.
作者: honeycfa 时间: 2010-4-17 21:39
Nichols Company’s net income for 20X6 was $978,000 with 1,250,000 shares outstanding. The average share price in 20X6 was $8.50. Nichols issued 2,000 warrants to purchase 100 shares each for $10 per share in 20X5. Nichols Company’s diluted earnings per share (diluted EPS) for 20X6 is closest to:
Nichols basic EPS (net income / weighted average common shares outstanding) was:
$978,000 / 1,250,000 = $0.782.
Because the exercise price of the warrants is higher than the average share price, the warrants are antidilutive and are excluded from diluted EPS. Because there were no other potentially dilutive securities, Nichols' diluted EPS in 20X6 is the same as basic EPS.
作者: honeycfa 时间: 2010-4-17 21:40
Selected information from Indigo Corp.’s financial activities in the year 20X9 included the following:
- Net income is $5,600,000.
- The tax rate is 40%.
- 500,000 shares of common stock were outstanding on January 1.
- The average market price per share was $82 in 20X9.
- 6,000 5% coupon $1,000 par value convertible bonds, which are convertible at a ratio of 20 shares for each bond, were outstanding the entire year.
- 200,000 shares of common stock were issued on July 1.
- 100,000 shares of common stock were purchased by the company as treasury stock on October 1.
Indigo Corp.’s diluted earnings per share for 20X9 are closest to:
Indigo’s weighted average common shares = [(500,000 × 12) + (200,000 × 6) – (100,000 × 3)] / 12 = 575,000. Basic EPS = $5,600,000 / 575,000 = $9.74.
For diluted EPS, assume the bonds were converted on January 1, and that interest payments were not made on the bonds. Increasing net income by the amount of bond interest net of tax = $5,600,000 + [6,000 × $1,000 × 0.05 × (1 ? 0.40)] = $5,780,000. Diluted EPS = $5,780,000 / (575,000 + 120,000) = $8.32.
作者: honeycfa 时间: 2010-4-17 21:40
Selected information from Jupiter Corp.’s financial activities in the year 20X5 is as follows:
- Net income is $18,300,000.
- 115,000 shares of common stock were outstanding on January 1.
- The average market price per share was $150 in 20X5.
- 200 warrants, which each allow the holder to purchase 100 shares of common stock at an exercise price of $100 per common share, were outstanding the entire year.
- 60,000 shares of common stock were issued on April 1.
- 45,000 shares of common stock were purchased by the company as treasury stock on October 1.
Jupiter Corp.’s diluted earnings per share for 20X5 are closest to:
To compute Jupiter’s basic earnings per share (EPS) use the formula: (net income ? preferred dividends) / weighted average common shares outstanding. Weighted average common shares outstanding = [(115,000 × 12) + (60,000 × 9) – (45,000 × 3)] / 12 = 148,750. Basic EPS = $18,300,000 / 148,750 = $123.02.
Using the treasury stock method, if the warrants were exercised cash inflow would be 200 × $100 × 100 = $2,000,000. The number of Jupiter shares that can be purchased with this cash at the average share price is $2,000,000 / $150 = 13,333. The net number of shares that would have been created is 20,000 ? 13,333 = 6,667. Diluted EPS = $18,300,000 / (148,750 + 6,667) = $117.75. Since diluted EPS is less than basic EPS, the warrants are dilutive.
作者: honeycfa 时间: 2010-4-17 21:40
Rushford Corp.’s net income is $16,500,000 with 300,000 shares outstanding. The tax rate is 40%. The average share price for the year was $372. Rushford has 50,000, 9%, $1,000 par value convertible bonds outstanding. Each bond is convertible into two shares of common stock.
Rushford Corp.’s basic and diluted earnings per share (EPS) are closest to:
Basic EPS Diluted EPS
Rushford’s basic EPS (net income / weighted average common shares outstanding) is $16,500,000 / 300,000 = $55.00. Diluted EPS is calculated under the assumption that the convertible bonds were converted into common stock, the bond interest net of tax is restored to net income, and the additional common shares are added to the denominator of the equation. Rushford’s diluted EPS is [$16,500,000 + (50,000 × $1,000 × 0.09)(1 - .40)] / (300,000 + (50,000 × 2) = $48.00.
作者: honeycfa 时间: 2010-4-17 21:41
Zachary Company’s warrants issued in 2000 are Zachary’s only outstanding potentially dilutive security. In 2005, EPS and Dilutive EPS differed for the first time. A possible explanation for the change is the:
A) |
year-end market price of Zachary increased. | |
B) |
average market price of Zachary decreased. | |
C) |
average market price of Zachary increased. | |
An increase in average market price could cause Zachary’s warrants to go from antidilutive to dilutive. If the average price of the stock increases during the year, the warrants are likely to be exercised at some point during the year. Neither of the other choices would do this.
作者: honeycfa 时间: 2010-4-17 21:41
A company has convertible preferred stock outstanding. In the computation of diluted earnings per share, common shares issued when convertible preferred stock is converted are added to the denominator of the basic EPS equation, and the numerator is:
|
B) |
adjusted by adding back convertible preferred stock dividends. | |
C) |
adjusted by adding back non-convertible preferred stock dividends. | |
If convertible preferred stock is dilutive, the preferred dividends that would not have been paid if the preferred stock is converted must be added back to the numerator. Note that any nonconvertible preferred stock dividends are still subtracted from net income in the numerator.
作者: honeycfa 时间: 2010-4-17 21:42
On December 31, 2004, JME Corporation had 350,000 shares of common stock outstanding. On September 1, 2005, an additional 150,000 shares of common stock were issued. In addition, JME had $10 million of 8% convertible bonds outstanding at December 31, 2004, which are convertible into 200,000 shares of common stock. Net income for 2005 was $3 million. Assuming an income tax rate of 40%, what amount should be reported as the diluted earnings per share for 2005?
If bonds are converted, then net income will increase by 480,000 [10 million × 0.08 × (1 ? 0.4)] and shares outstanding will increase by 200,000.
numerator = 3,000,000 + 480,000 = 3,480,000
denominator = 350,000 + (150,000 × 4/12) + 200,000 = 600,000
diluted EPS = 3,480,000 / 600,000 = 5.80
作者: honeycfa 时间: 2010-4-17 21:42
An analyst has gathered the following information about Zany Corp.
-
Net income of $200,000 for the year ended December 31, 2004.
-
During 2004, 50,000 common shares were outstanding.
-
Zany has 10,000 shares of 7%, $50 par convertible preferred stock outstanding, each convertible into two shares of common.
-
5,000 warrants are outstanding with an exercise price of $24. Each warrant is convertible into one common share.
-
The average market price per common share during 2004 was $20.
Calculate Zany's basic and diluted earnings per share (EPS) for 2004.
Basic EPS = (net income ? preferred dividends) / number of common shares = (200,000 ? 35,000) / 50,000 = $3.30 per share
The preferred shares are converted into 20,000 common shares, the firm does not pay preferred dividends. Diluted EPS = 200,000 / (50,000 + 20,000) = $2.86 per share. The warrants are out of the money at a stock price of $20.
作者: honeycfa 时间: 2010-4-17 21:43
Assume that the exercise price of an option is $5, and the average market price of the stock is $8. Assuming 816 options are outstanding during the entire year, what is the number of shares to be added to the denominator of the diluted EPS?
(816)(5) = $4,080. $4,080 / $8 = 510 shares. 816 ? 510 = 306 new shares or [(8 ? 5) / 8]816 = 306.
作者: honeycfa 时间: 2010-4-17 21:43
The Widget Company had net income of $1 million for the period. There were 1 million shares of widget common stock outstanding for the entire period. If there are 100,000 options outstanding with an exercise price of $40, what is the diluted earnings per share for Widget common stock if the average price per share over the period was $50?
Use the Treasury stock method
Proceeds = 100,000 ($40) = $4,000,000
Shares assumed purchased with proceeds= $4,000,000/$50 = 80,000 shares
Potential dilution = 100,000 – 80,000 = 20,000 shares
Basic EPS = $1/share
Diluted EPS = $1,000,000 / 1,020,000 = $0.98/share
作者: honeycfa 时间: 2010-4-17 21:44
The Gaffe Company had net income of $1,500,000. Gaffe paid preferred dividends of $5 on each of the 100,000 preferred shares. Each preferred share is convertible into 20 common shares. There are 1 million Gaffe common shares outstanding. In addition to the common and preferred stock, Gaffe has $25 million of 4% bonds outstanding. If Gaffe's tax rate is 40%, what is its diluted earnings per share?
The preferred shares are convertible into 100,000 × 20 = 2 million common shares. They are dilutive since:
Basic EPS |
= |
$1,000,000 |
= $1.00 |
1,000,000 |
Diluted EPS |
= |
$1,500,000 |
= $0.50 which is less. |
3,000,000 |
作者: honeycfa 时间: 2010-4-17 21:44
The Fischer Company had net income of $1,500,000. Fischer paid preferred dividends of $5 on each of the 100,000 preferred shares. There are 1 million Fischer common shares outstanding. In addition to the common and preferred stock, Fischer has $25 million of 4% bonds outstanding. The face value of each bond is $1,000. Each bond is convertible into 40 common shares. If Fischer's tax rate is 40%, determine its basic and diluted earnings per share (EPS)?
作者: honeycfa 时间: 2010-4-17 21:44
Assume that the exercise price of an option is $9, and the average market price of the stock is $12. Assuming 992 options are outstanding during the entire year, what is the number of shares to be added to the denominator of the Diluted EPS?
(992)($9) = $8928
$8928 / 12 = 744
992 ? 744 = 248 new shares or [(12 ? 9) / 12]992 = 248
作者: honeycfa 时间: 2010-4-17 21:45
Assume that the exercise price of an option is $6, and the average market price of the stock is $10. Assuming 802 options are outstanding during the entire year, what is the number of shares to be added to the denominator of the diluted earnings per share (EPS)?
(802)(6) = 4,812
4,812 / 10 = 481.2
802 ? 481 = 321 or [(10 ? 6) / 10] × 802 = 321
作者: honeycfa 时间: 2010-4-17 21:45
Assume that the exercise price of an option is $10, and the average market price of the stock is $13. Assuming 999 options are outstanding during the entire year, what is the number of shares to be added to the denominator of the diluted earnings per share (EPS)?
(999)(10) = 9,990
9,990 / 13 = 768
999 ? 768 = 231
作者: honeycfa 时间: 2010-4-17 21:46
Assume that the exercise price of an option is $11, and the average market price of the stock is $16. Assuming 1,039 options are outstanding during the entire year, what is the number of shares to be added to the denominator of the Diluted EPS?
(1,039 options)($11) = $11,429
$11,429 / $16 per share
1039 ? 714 = 325 shares or [(16 ? 11) / 16]1,039 = 325.
作者: honeycfa 时间: 2010-4-17 21:47
When considering the impact of warrants on earnings per share, the method to calculate the number of shares added to the denominator is derived using which method?
A) |
Treasury Stock method. | |
|
C) |
Weighted average method. | |
The treasury stock method assumes the hypothetical funds received by the company from the exercise of the options are used to purchase shares of the company's common stock in the market at the average market price.
作者: honeycfa 时间: 2010-4-17 21:47
When considering convertible preferred stock which of the following components of the earnings per share (EPS) equation needs to be adjusted to calculate diluted earnings per share?
A) |
The numerator and denominator. | |
|
|
The numerator will increase because earnings available to the common shareholder are increased by the reduction in preferred dividends. The denominator increases because the weighted average number of shares increases upon conversion of the preferred stock.
作者: honeycfa 时间: 2010-4-17 21:49
Stanley Corp. had 100,000 shares of common stock outstanding throughout 2004. It also had 20,000 stock options with an exercise price of $20 and another 20,000 options with an exercise price of $28. The average market price for the company's stock was $25 throughout the year. The stock closed at $30 on December 31, 2004. What are the number of shares used to calculate diluted earnings per share for the year?
Only the stock options with an exercise price of $20 are dilutive. The additional shares of 4,000 (20,000 ? [(20,000 × 20) / 25]) are added to the 100,000 common shares outstanding.
作者: honeycfa 时间: 2010-4-17 21:50
BWT, Inc. shows the following data in its financial statements at the end of the year.
Assume all securites were outstanding at the beginning of the year:
- 6.125% convertible bonds, convertible into 33 shares of common stock. Issue price $1,000, 100 bonds outstanding.
- 6.25% convertible preferred stock, $100 par, 2,315 shares outstanding. Convertible into 3.3 shares of common stock, Issue price $100.
- 8% convertible preferred stock, $100 par, 2,572 shares outstanding. Convertible into 5 common shares, Issue price $80.
- 9,986 warrants are outstanding with an exercise price of $38. Each warrant is convertible into 1 share of common. Average market price of common is $52.00 per share.
- Common shares outstanding at the beginning of the year were 40,045.
- Net Income for the period was $200,000, while the tax rate was 40%.
What were the preferred dividends paid this whole year?
(0.0625)(100)(2,315) = 14,469
(0.08)(100)(2,572) = 20,576
14,469 + 20,576 = 35,045
What was the after-tax interest charge?
(0.06125)(1,000)(100)
(6,125)(1 ? 0.4) = 3,675
How many new shares had to be issued to facilitate warrant conversion?
9,986 × $38 = $379,468
$379,468 / $52 = 7,297 common shares
9,986 ? 7,297 = 2,689 new common shares
What were the basic and diluted EPS for the year?
Basic EPS = Net income ? preferred dividends / Wt Average shares of common = ($200,000 ? $35,045) / 40,045 = 164,955/40,405 = $4.12
Diluted EPS:
(100 bonds)(33 common shares/bond) = 3,300 common shares
(2,315 preferred shares)(3.3) = 7,640
(2,572 preferred shares)(5) = 12,860
7,640 + 12,860 = 20,500 common shares from preferred
[($200,000 ? $35,045) + $35,045 + $3,675] / (40,045 + 3,300 + 20,500 + 2,689)
= $203,675 / 66,534 shares = $3.06
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