Earnings Per Share

Hard Practice Test

Intermediate Accounting 2

Hard Practice Test

Click the “Check Your Answer” box below each problem to reveal the correct answer and explanation.

1. Which of the following requires earnings per share for all prior years presented to be restated?

a. issuing stock options to employees
b. stock dividends and stock splits
c. the conversion of convertible bonds
d. convertible preferred stock

Answer

B. Stock dividends and stock splits change the number of shares outstanding. In order to be comparable, prior years earnings per share must be restated to reflect the dividend or split ratio. 

2. What is the impact to earnings per share when a company retires common stock that was previously held as treasury stock?

a. increase
b. decrease
c. no change
d. depends on when during the period the common stock is retired

Answer

C. Treasury stock is not considered outstanding and is not included in outstanding common shares. The retirement of treasury stock has no impact on outstanding shares.

3. What is a common method a company uses to increase basic earnings per share?

a. purchase treasury stock
b. issue a stock split
c. issue convertible bonds that pay interest
d. do not declare a stated dividend on cumulative preferred stock

Answer

A. Purchasing treasury stock decreases outstanding shares, increasing earnings per share. A stock split increases outstanding shares and will decrease earnings per share. Convertible bonds have no impact on basic earnings per share. A stated dividend on cumulative preferred stock is subtracted from net income even if it is not declared. 

4. Nonconvertible, cumulative preferred stock where the dividend is not declared impacts the computation of

a. basic earnings per share
b. diluted earnings per share
c. both a. and b.
d. neither a. or b.

Answer

C. A cumulative preferred dividend is subtracted from basic earnings per share. Non convertible means the preferred stock can not be assumed converted to common stock and the dividend is also subtracted from diluted earnings per share.

5. Shares that may be issued given a contingent situation that is likely to occur are included in

a. basic weighted average shares
b. diluted weighted average shares
c. both a. and b.
d. neither a. or b.

Answer

B. Diluted weighted average shares includes all shares that could be outstanding given certain conditions occur. Contingent issuances that are likely to occur are assumed to occur. Basic shares only include shares that are actually outstanding during the year.

6. When determining the income that is applicable to common shareholders, dividends relative to non cumulative non convertible preferred stock should be

a. added to net income
b. subtracted to net income
c. ignored unless it was declared during the current period
d. ignored unless it was paid during the current period

Answer

C. Non cumulative preferred dividends are only subtracted from net income when they are declared by the board of directors. 

7. A convertible security is considered to be a dilutive security when

a. the “if converted method” results in a lower earnings per share
b. the average yield on the bond is greater than the average yield on bonds of similar risk at the end of the period
c. incremental earnings per share is greater than $1
d. the security may be converted at the option of the investor within 5 years

Answer

A. Dilutive means earnings per share is lower. The if converted method is used when assuming conversion of convertible bonds and preferred stock.

8. Which of the following affects only the denominator when computing diluted earnings per share?

a. stock options
b. non convertible preferred stock
c. convertible bonds
d. convertible cumulative preferred stock

Answer

A. The denominator is weighted average shares outstanding. Stock options increase outstanding shares. Convertible bonds increase net income and shares outstanding. Convertible cumulative preferred stock changes the numerator when assuming the dividend will not be paid and the denominator when converting to common shares. Non convertible preferred stock does not change average shares outstanding.

9. When computing earnings per share, all of the following are true with respect to stock options with the exception of

a. net income is never impacted
b. the assumed exercise of stock options always increases the weighted average number of shares outstanding
c. it is assumed that cash from exercise is used to purchase treasury shares at an average fair market value for the period
d. stock options may be anti-dilutive

Answer

B. Assuming exercise will not increase shares when the exercise price is greater than the average fair market value. This is an anti-dilutive situation and this is not assumed to occur when computing diluted earnings per share.

10. When using the “if converted method”, interest expense is

a. added to net income net of tax
b. subtracted from net income net of tax
c. added to net income without considering the tax impact
d. added to weighted average number of shares, net of tax

Answer

A. The “if converted method” assumes the bond is converted as of the beginning of the year. Given the bond is converted, interest is not paid. The interest saved is added to net income net of tax because net income is net of tax. 

11. On January 1st of the current year, the company had 500,000 shares outstanding. On April 1, the company purchased 20,000 shares of treasury stock. On November 15th, the company paid a 10% stock dividend. The company retired 10,000 shares of common stock on December 1st. Net Income was $1,800,000 and the tax rate was 25%. The company had the following securities (all share amounts have been adjusted for the stock dividend):

Stock options granted in the prior year:
30,000 shares with an exercise price of $8 per share.
Average market price was $19 and the year end fair market value of the
common stock price was $21.
7,500 options were exercised on July 1st of the current year

Convertible bonds issued at par, face value of $400,000, coupon rate of 8%. Convertible into 0.5 shares for each $1 of face value.
The convertible bonds were issued on April 1st of the current year.

Non convertible preferred stock, $1,000,000 total par, dividend of 7%.
The preferred stock is cumulative and dividends were declared during the current year.

A. Compute weighted average outstanding common shares for the current year
B. Compute basic earnings per share for the current year
C. Compute diluted earnings per share for the current year

Answer

A.

1/1 to 3/31                    500,000 x 1.1 x 3/12             = 137,500
4/1 to 6/30                    480,000 x 1.1 x 3/12             = 132,000
7/1 to 11/14                  487,500 x 1.1 x 4.5 /12         = 201,094
11/15 to 12/1                536,250 x 0.5 /12                  =   22,344
12/1 to 12/31                526,250 x 1/12                      =   43,854
            Weighted Average                                            = 536,792

Note: The stock dividend is issued on 507,500 total shares issued; however,
22,000 (20,000 x 1.1) are now treasury shares

B.
1,800,000 – 70,000 =

1,730,000  = $3.22
  536,792

C.
1,800,000 – 70,000 + 18,000
536,792 + 15,199 + 150,000

1,748,000  =  $2.49
701,991

Options                                        From                      From
                                                1/1 to 6/30             6/30 to 12/31

Options: Shares Issued           30,000                    22,500
x Exercise Price                              8                            8      
= Cash received                       240,000                  180,000
/ average FMV                               19                         19       
= Shares Repurchased           (12,631)                   (9,473)

= Net Shares Added                 17,369                   13,027
           x # months                        6/12                      6/12   
= Shares added to W.A            8,685           +         6,514

                                = 15,199 shares could be added

Bonds: Issued April 1st – include 9 months

$400,000 x 8% = 32,000 x .75 = 24,000 interest saved x 9/12 = $18,000
400,000 x 0.5 = 200,000 shares issued on conversion x 9/12 = 150,000

Preferred Stock

Nonconvertible: subtract the preferred dividend for diluted

12. On December 31st of the prior year the company’s balance sheet was as follows:

Preferred Stock, $50 par value, 5%, 20,000 shares issued and outstanding $1,000,000
Common Stock, $0.01 par value, 800,000 shares authorized, 600,000 shares issued, 550,000 shares outstanding $        6,000
Paid in Capital – Common Stock $   986,000
Treasury Stock, $   280,000

The following transactions occurred during the current year: On November 1, the company issued a 2:1 stock split; On December 1st, the company issued 100,000 shares of common stock. Net Income for the current year was $800,000. The preferred stock is cumulative and the dividend was declared. The tax rate for the current year was 30%. The company had the following convertible securities (shares have been adjusted for splits/dividends):

Stock options granted on May 1, three years prior:
60,000 shares with an exercise price of $14 per share.
Average market price was $19 and the year end closing stock price was $21.
2,000 options were exercised on November 15th of the current year.

Convertible bonds, face value of $400,000, coupon rate of 6%, issued 2 years ago. Convertible into 20 shares for each $1,000 face value.
$100,000 face value bonds were converted on March 1st of the current year.

A. Compute weighted average outstanding common shares for the current year
B. Compute basic earnings per share for the current year
C. Compute diluted earnings per share for the current year

Answer

A.

1/1 to 2/28                     550,000 x 2 x 2/12            =   183,333
3/1 to 10/31                   552,000 x 2 x 8/12            =   736,000
11/1 to 11/14                 1,104,000    x  0.5/12        =     46,000
11/15 to 12/1                 1,106,000    x 0.5/12         =     46,083
12/1 to 12/31                 1,206,000    x 1/12            =   100,500
                  Weighted Average                                  = 1,111,916

B.
$800,000 – $50,000 = $750,000

$750,000  = $0.67
1,111,916

Preferred dividend:
$50 x 20,000 x 5% = 50,000

C.
800,000 – 50,000 +13,300  
1,111,916 + 15,724 + 6,333

$763,300    = $0.67
1,133,973

Options

Options:  Shares Issued               60,000                 58,000
x Exercise Price                                   14                         14    
= Cash received                          840,000                  812,000
/ average FMV                                     19                         19    
= Shares Repurchased              (44,210)                  (42,736)

= Net Shares                                 15,790                   15,264
x # months                                   10.5 / 12                1.5 / 12  
= Shares added                            13,816          +        1,908
                                         = 15,724 total shares added

Bonds:

$400,000 x 6% = 24,000 x .7 = 16,800 x 2/12   =    2,800
$300,000 x 6% = 18,000 x .7 = 12,600 x 10/12 =  10,500
            Total interest saved                                     13,300
400,000 / 1,000 = 400 x 20 = 8,000 x 2/12         = 1,333
300,000 / 1,000 = 300 x 20 = 6,000 x 10/12       = 5,000
Total shares added on assumed conversion       6,333

Preferred Stock

Nonconvertible: subtract the preferred dividend

13. On January 1st of the current year, the Corporation had 1,000,000 shares outstanding and held 50,000 shares of treasury stock. The company purchased and retired 190,000 shares of stock on April 1st. The company reissued 50,000 treasury shares of stock on June 1st. On September 30th, the company paid a 40% stock dividend. Net income for the current year was $265,000 and the tax rate was 40%. The Corporation had the following convertible securities:

Warrants granted February 1st of the current year: 60,000 warrants to purchase 60,000 shares of common stock at a price of $20 per share. The average market price during the current year was $24 per share, and the December 31st, closing price was $18 per share.

Convertible bonds; face value of $200,000, coupon rate of 6%. The bonds are convertible to 300 shares of common stock for each $500 face value of the bond.
The bonds were issued during the prior year.

Convertible preferred stock; 10,000 shares at $75 par, paying a 9% dividend; cumulative, issued on January 1st of the current year. The preferred stock is convertible to 3 shares of common stock per preferred share. Dividends were declared at the end of the current year. 5,000 shares of preferred stock were converted on May 1st of the current year.

A. Compute weighted average outstanding common shares for the current year
B. Compute basic earnings per share for the current year
C. Compute diluted earnings per share for the current year

Answer

A.

1/1 to 3/31                       1,000,000 x 1.4 x 3/12        =   350,000
4/1 to 4/30                          810,000 x 1.4 x 1/12        =     94,500
5/1 to 5/31                          825,000 x 1.4 x 1/12        =     96,250
6/1 to 9/29                          875,000 x 1.4 x 4/12        =   408,333
9/30 to12/31                   1,225,000 x 3/12                   306,250
            Weighted Average                                             =1,255,333

B.

265,000 – 33,750 = 231,250 = $0.18
                               1,255,333

Preferred dividend =
10,000 – 5,000 converted = 5,000 shares end of year
x $75 par x 9% = $33,750 declared at end of year

C.

               265,000 – 0 + 7,200                  
1,255,333 + 9,167 + 120,000 + 20,000

272,200        = $0.19 anti-dilutive
1,404,500

Remove preferred stock conversion; because it is anti-dilutive

Revised dilutive EPS:

265,000 – 33,750 + 7,200      
1,255,333 + 9,167 + 120,000

 238,450     = $0.17 diluted
1,384,500

Dilutive convertibles: No adjustment required:

Warrants (work just like options) granted on 2/1 of the current year

Warrants: Shares Issued           60,000
x Exercise Price                                20   
= Cash received                      1,200,000
/ average FMV                                  24   
= Shares Repurchased           (50,000)

= Net shares                              10,000
Issued 2/1 current year         x 11/12  
= Net shares added                   9,167

Shares added with nothing on top line makes it dilutive.

Bonds:

$200,000 x 6% = 12,000 x .60 = 7,200 interest saved

200,000 / 500 = 400 x 300 = 120,000 shares issued on conversion

7200 interest saved
120,000 shares issued = $0.06

Lower than basic makes it dilutive

Preferred Stock

10,000 x 3 = 30,000 x 4/12  = 10,000
5,000 x 3 = 15,000   x 8/12  = 10,000
         Total shares added        20,000

Dividend          $33,750
Shares issued   20,000 = $1.69

Higher than basic makes it anti-dilutive