Title: Earning per Share
1Chapter
2Earning Per Share
- Earning Per Share often is considered to be the
single measure that best summarizes the
performance of a company, particularly for common
stockholder.
3Simple Capital Structure
- A capital structure that consists of only common
stock and non-convertible preferred stock ( no
potentially dilute convertible securities such as
stock options, convertible bonds,convertible
preferred stock).
4Simple Capital Structure(contd.)
- For a simple capital structure, the basic
earnings per share (EPS) computation is - Net Income - Preferred Dividend
- -----------------------------------------------
---- - Weighted Average Number of Common
- Shares Outstanding
5Simple Capital Structure(contd.)
- Example of computing weighted average shares
- Assume a corporation had 12,000 shares of
common stock (C.S) outstanding at the beginning
of the year.On 3/2, it issued 2700 shares on7/3,
it issued another 3,300 shares and on December
1, it acquired 480 shares as treasury stock. The
weighted average number of common shares to be
used in computing EPS is 15,860 shares, as
computed in Exhibit 1
6 Simple Capital Structure Exhibit 1
- Months shares Shares Fraction of
Year Equivalent - Are Outstanding Outstanding Outstanding
Whole Units - Jan - Feb 12,000
2/12 2,000 - March - June 14,700
4/12 4,900 - July - Nov 18,000
5/12 7,500 - December 17,520
1/12 1,460 - Total Weighted Average Common Shares
15,860 -
-
7Weighted Average Shares and Stock Dividends or
Splits
- Retroactive recognition is given to the events of
stock dividend or stock split for all components
of stock dividend or stock split for all
comparative income statement presented The
purpose of the retroactive adjustment is to
result in comparable EPS amounts for all periods
presented in terms of the most recent capital
structure.
8 Weighted Average Shares and Stock Dividends
or Splits Example
- A corporation begins operations in January
- 1994, and issues 5,000 shares of common stock
- that are outstanding during all 1994.
- On 12/31/94, it issues a two-for-one stock
split. - At the end of 1994, the weighted average
- number of shares to be used in EPS
- computation is 10,000 (5,000200 12/12)
- because the two- for-one split is assumed to
- have occurred on January1, 1994.
9 Weighted Average Shares and Stock Dividends
or Splits Example(contd.)
- On May 29, 1995, the company issues 5,000
- shares of common stock on August 3, 1995,
- it issues a 20 stock dividend and on October
- 5,1995, it issues 2,000 shares of common stock.
- At the end of 1995, when presenting
- comparative EPS for 1994 and 1995, the
- weighted average number of shares to be used
- in the computation are 12,000 shares for 1994
- and 16,000 shares for 1995,
- as shown in exhibit 2.
10 Weighted Average Shares and Stock
Dividends or Splits Exhibits 2
- Actual Assumed Factor of
Equivalent - Months shares Shares Shares
Year Whole - are Outstanding Outstanding Outstanding
Outstanding Units - 1994
- Jan -Dec 5,000 12,000 12/12 12,000
-
(5,000 200 120) - 1995
- Jan - May 10,000 12,000 5/12
5,000 - (10,000 120)
- Jun - July 15,000 18,000 2/12
3,000 - (15,000 120)
- Aug - Sept 18,000 18,000 2/12
3,000 - Oct - Dec 20,000 20,000 3/12
5,000 -
16,000
11Earning Per Share Subtotals
- EPS is presented by the components of net income
(i.e., EPS of continuing operations, EPS of
discontinued operation), EPS of extraordinary
items, EPS of cumulative effect due to change in
accounting principle). Each of these EPS is based
on the same weighted average number of shares and
the components are summed to disclose the EPS of
net income. The intent is to show the
contribution of each component of net income to
EPS.
12 Earning Per Share SubtotalsExhibit 3
- NORCAT CORPORATION
- Earning Per Share Disclosure
- Earning Per common share outstanding
- Income before extraordinary items 2.03
- Extraordinary loss (0.37)
- Net income 1.76
13 Earning Per Share Subtotals Exhibit 4
- ROBERTS CORPORATION
- Computation and Disclosure of Basic Earnings
- Per Share (Simple capital Structure)
- 1. Income statement information
- a. Net income for 1995 is 14,000.
- b. An extraordinary gain (net of income taxes)
of - 3,600 is included in net income.
- 2. Stockholders equity information (end of
1995) - a. 8 Preferred stock, 100 par 30,000
- b. Common stock, 10 par 60,000
14 Earning Per Share Subtotals Exhibit 4
(contd.)
- 3. Additional information
- a. No preferred stock was issued or reacquired
- during 1995.
- b. Preferred dividends were declared during 1995
- a the stated rate.
- c. A review of the common stock account shows
- that on January 1, 1995, 2,000 shares of
- common stock were outstanding. On April
3, - 400 shares of common stock were issued
for - cash. On June 1, a two-for-one stock
split - occurred, resulting in 5,000 total common
- shares. On November 2, 1,000 share of
- common stock are issued for cash.
15 Earning Per Share Subtotals Exhibit 4
(contd.)
- 4. Earnings per share computations for 1995
- Earnings Shares
Earnings - Explanation (Adjustments)
(Adjustments) Per Share - Net income 14,000
- Preferred dividends a (2,400)
- Common shares b
4,917 - Earnings and shares 11,600 ? 4,917
2.36 - a. Preferred dividends 30,000 0.08 2,400
- b. Weighted average shares
- 4,000 (2,000 200 stock split) 3/12
1,000 - 5,000 (2,500 200) 7/12
2,917 - 6,000 (2,500 2001,000) 2/12
1,000 - Weighted average common shares
4,917
16 Earning Per Share Subtotals Exhibit 4
(contd.)
- 5. Condensed income statement presentation for
1995 - Income before extraordinary items 10,400
- Extraordinary gain (net of income taxes)
3,600 - Net income 14,000
-
- Basic earnings per common share outstanding
- (see Note A)
- Income before extraordinary items 1.63
- Extraordinary gain
0.73 - Net income 2.36
-
17Note A to financial statements
- Preferred dividends of 2,400 are deducted from
income before extraordinary items and net income
to determine earnings available to common stock. - The resulting amounts of 8,000 and 11,600
divided by the 4,917 weighted average common
shares yield 1.63 and 2.36 earnings per share,
respectively.
18Complex Capital Structure
- Many corporations capital structure includes
convertible preferred stock, convertible bonds,
stock options and warrants. Since conversion of
these items into common stock would affect EPS,
they are considered in computing EPS. Therefore,
corporations with complex capital structures are
required to present diluted earnings per share.
19Diluted Earning Per Share
- In computing diluted EPS, the potential impact of
common stock equivalents is considered in
addition to the weighted average shares.
20Diluted Earning Per Share (contd.)
- A common stock equivalent (C.S.E) is
- a security that is not a common stock,
- but that contains a provision enabling
- its holders to acquire common stock
- under predetermined terms which, at
- issuance, make it in substance
- equivalent to a common stock.
21Diluted Earning Per Share (contd.)
- To be included in the diluted EPS
- calculation, the CSE must have
- dilutive effect on EPS (that is,
- decrease EPS). To evaluate the dilute
- effect of each security, it is necessary
- to include CSE in the diluted EPS
- calculation in a certain order.
22Diluted Earning Per Share (contd.)
- The following sequence of steps should be
followed - Step 1 Compute the basic earnings per
- share.
- Step 2 Include dilutive stock options and
- warrants to compute a tentative
- diluted EPS.
- Step 3 Develop a ranking of the impact of
- each common stock equivalent
- (other than stock options and
- warrants) on DEPS.
23Diluted Earning Per Share (contd.)
- The following sequence of steps should be
followed - Step 4 Include each common stock
- equivalent in DEPS in a sequential
- order based on the ranking and
- compute a new tentative DEPS.
- Step 5 Select the lowest tentative DEPS as
- the diluted EPS.
24 Diluted Earning Per Share Stock
Options and Warrants (step 2)
- Stock options and warrants are always considered
to be common stock equivalents and are first to
be included in the computation of dilution EPS.
However, they will be included in the DEPS
calculation only if they are dilutive (decrease
DEPS). Stock options or warrants will be dilutive
if the exercise of the options (or warrants) will
result in an increase of common shares using a
treasury stock method. -
25 Diluted Earning Per Share Stock
Options and Warrants (step 2)(contd.)
- This method assumes that the options were
exercised at the beginning of the period (or at
the time of issuance if later) and that the
assumed proceeds received from the exercise were
used to reacquire the corporations common stock
at the market price.
26 Diluted Earning Per Share Stock
Options and Warrants (step 2)(contd.)
- Under this treasury stock method, the number of
shares added to the denominator in computing the
EPS is the difference between the assumed shares
issued (through the exercise of options) and the
shares reacquired using the proceeds from the
exercise of options (there is no charge in the
numerator of EPS computation). Therefore,
dilution occurs whenever the market price is
greater than the option price.
27Example
- Assume a corporation has 10,000 common shares and
options to purchase 1,000 common shares at 20
per share outstanding the entire year, and that
the market price for the common stock was 25 per
share. The net increase in the denominator would
be 200 computed as follow -
28Example(contd.)
- Shares assumed issued through
- the exercise of options
1,000 - Shares assumed acquired
- Proceeds 20 1,000 (800)
- Ave market price 25
- Assumed increase in common shares
- for computing DEPS
200
29Example(contd.)
- Therefore, the stock options are diluted and the
200 assumed increased shares would be added to
the denominator in computing a tentative diluted
EPS. - If common stock equivalents in the form of
convertible bonds or convertible preferred stock
also were outstanding, the DEPS, which included
the options, would be only tentative and
subject to the possible inclusion of the
convertible securities.
30Ranking of Common Stock Equivalents (CSE)
- Stock options and warrants always are considered
to be CSE and are the first to be included (if
they are dilutive) in DEPS computation. Other CSE
(i.e., Convertible Securities) also are included
in DEPS after stock options and warrants, but
only if their inclusion also has a dilute impact
on the EPS. A security that may appear to be
individually dilute, in fact, maybe antidilutive
in combination with other CSE. Therefore, a
ranking is performed to determine the sequence in
which the CSE should be included in the DEPS.
31Ranking of Common Stock Equivalents (CSE)
(contd.)
- This ranking is determined by comparing the
individual impact on EPS that result from the
assumed conversion of each CSE into common shares
at the beginning of the earliest period reported
(or at the date of issuance of the security, if
later). The assumed conversion has impacts on
both numerator and denominator of DEPS. The
denominator will be increased (due to the assumed
conversion of CSE into common stock) and the
numerator will also be increase (due to the
decrease in interest expense or the savings on
preferred dividends).
32Ranking of Common Stock Equivalents (CSE)
(contd.)
- The numerical value impact on DEPS for each CSE
is computed as - Change in EPS Numerator
- Impact on DEPS --------------------------------
----- - Change in EPS Denominator
- The CSE with the lowest impact causes the least
increase in the numerator relative to the
increase in the denominator from the assumed
conversion.
33Ranking of Common Stock Equivalents (CSE)
(contd.)
- Therefore, the security with the lowest impact
will cause the greatest decrease in DEPS and is
the most diluted CSE, and is the first (after
stock options and warrants) to be included in
DEPS. The CSE with the lowest (highest) impact on
DEPS is listed at the top (bottom) of the
ranking. The CSE are sequentially entered into
the DEPS computations based on the ranking
(beginning with the CSE listed on the top of the
ranking). - Exhibits 5 illustrates the calculation of the
development of ranking, assuming that Poston
Company has four CSE outstanding the entire year.
34POSTON CORPORATION Computation of Impact of
Common Stock
- A. Summary of Common Stock Equivalents
- Security Description
. - A 9 convertible preferred stock. Dividends
of 5400 were declared during the year.
The preferred shares are
convertible into - 3,000 shares of common stock.
- B 10 convertible bonds. Interest expense
(net of income taxes) of 4,800 was
recorded during the year. The bonds are
convertible into 1,920 shares of
common stock.
35POSTON CORPORATION Computation of Impact of
Common Stock (contd.)
- Security Description
. - C 8 convertible preferred stock. Dividends of
8,000 were declared during the year. The
preferred shares are convertible into 5,000
shares of common stock. - D 7 convertible bonds. Interest expense (net
of income taxes) of 6,300 was recorded during
the year. The bonds are convertible into 3,150
shares of common stock.
36POSTON CORPORATION Computation of Impact of
Common Stock (contd.)
- B. Computations and Rankings
- Security Impact Order in Ranking
- A 5,400/3,000 2
- 1.80
- B 4,800/1,920
- 2.50 4
- C 8,000/5,000
- 1.60 1
- D 6,300/3,150
- 2.00 3
37Computation of Tentative and Final DEPS.
- The CSE are sequentially included in the DEPS
according to the Ranking (from the top to the
bottom) to compute tentative DEPS. One CSE is
included in the DEPS at a time to compute a
tentative DEPS and the inclusion is cumulative.
Thus, numerous tentative DEPS are obtained. The
lowest tentative DEPS is the final DEPS.
38Computation of Tentative and Final DEPS. (contd.)
- On principle, when the most recently calculated
(current) tentative DEPS is greater than the
previous tentative DEPS, the interation process
can be stopped. The previous tentative DEPS is
the lowest DEPS and thus, the final DEPS. - The rest of CSE (including the current one) are
all antidilutive CSE (the inclusion of these CSE
will increase, not decrease DEPS). Exhibits 6
illustrates the computation of DEPS
39 Computation of Tentative and Final
DEPS.Exhibit 6
- WATTS CORPORATION
- Computation of Primary and Fully Diluted
Earnings Per Share (Comprehensive Illustration) - 1. Income statement information (1997)
- a. Income before extraordinary items
17,400 - Extraordinary loss (net of income taxes)
(1,500) - Net income 15,900
- b. The effective income tax rate is 30.
40 Computation of Tentative and Final
DEPS.Exhibit 6 (contd.)
- 2. Balance sheet information
- a. 6,000 shares of common stock were
outstanding the entire year. The stock sold
at market price of 25 per share. - b. Options to purchase 800 shares of common
stock at 20 per share were outstanding the
entire year. - c. 7.5, 100 par convertible preferred stock,
16,000 par value (and issuance price), were
outstanding the entire year. 1,200 dividends
were declared on the stock in 1997.
41 Computation of Tentative and Final
DEPS.Exhibit 6 (contd.)
- d. 9, 100 par convertible preferred stock,
10,000 par value (issued at 112), were
outstanding the entire year. 900 dividends
were declared on the stock in 1997. - e. 6 convertible bonds, 30,000 face value,
were outstanding the entire year. The bonds
were issued for 32,000, a price that yield
5.4. Bond interest expense of 1,720 was
recorded in 1997 the total premium is being
amortized at the rate of 80 per year. Each
1,000 bond is convertible into 19 shares of
common stock.
42 Computation of Tentative and Final
DEPS.Exhibit 6 (contd.)
- f. 9.2 convertible bonds, 25,000 face value,
were outstanding the entire year. The bonds
were issued at 23,750, a price that yielded
9.7 when the average Aa corporate bond yield
was 14. Bond interest expense of 2,350 was
recorded in 1997 the total discount is
being amortized at the rate of 50 per year.
Each 1,000 bond is convertible into 45
shares of common stock.
43 Computation of Tentative and Final
DEPS.Exhibit 6 (contd.)
- 3. Impact on earning per share and resulting
rankings - Diluted
- Security Impact on EPS Ranking
- 7.5 Preferred 0.075 16,000 1.50
2 - 160 5
- 9 Preferred 0.09 10,000 2.25
4 - 100 4
- 6 Bonds (30,000 0.06) - 80 (1 - 0.3)
2.11 3 - 30 19
- 9.2 Bonds (25,000 0.092) 50 (1 - 0.3)
1.46 1 - 2.5 45
44 Computation of Tentative and Final
DEPS.Exhibit 6 (contd.)
- 4. Diluted earnings per share computation for
1997 - Earnings Shares
Earnings - Explanation (Adjustments)
(Adjustments) Per Share - Basic earning and shares 13,8000a
6,000 2.30 Basic - Increment in shares (options)
267b - DEPS1 earnings and shares 13,8000 6,267
2.20 DEPS1 - Saving in 9.2 bond interest
- expense 1,645C 1,123d
- Increment in shares
7,392 2.09 DEPS2 - DEPS2 earnings and shares 15,445
- Savings in 7.5 preferred
- dividends 1,200e
- Increment in shares
800f - Diluted earnings and share 16,645g
8,192h 2.03i Diluted
45 Computation of Tentative and Final
DEPS.Exhibit 6 (contd.)
- a.13,800 15,900 1,200 - 900
- b. 267 800 - 800 20
- 30
- c. 1645 (25,000 0.092) 50 (1 - 0.3)
- d. 1,125 2.5 bonds 45 common shares
- e. 1,125 25 bonds 45 common shares
- f. 1,200 0.075 16,000
46 Computation of Tentative and Final
DEPS.Exhibit 6 (contd.)
- g. 800 160 preferred shared 5 common shares
- h.The 6 convertible bonds and the 9 convertible
preferred stocks are not included in diluted
earnings per share because their impacts (2.11
and 2.25, respectively) are greater than 2.03
and each security is antidilutive. - i. Diluted earnings per share related to income
before extraordinary items equals 2.21 (16,645
1,500 extraordinary loss) / 8,192 share.
47 Computation of Tentative and Final
DEPS.Exhibit 6 (contd.)
- 5. Condensed income statement presentation for
1997 - Income before extraordinary items
17,400 - Extraordinary loss (net of income taxes)
(1,500) - Net income 15,900
- Diluted earnings per share (see Note A)
- Income before extraordinary items
(see Note A)
2.21 - Extraordinary loss (.18)
- Net income 2.03
-
48Note A
- Diluted earnings per share is based on 6,000
average shares outstanding plus 2,192 incremental
shares from giving effect to the assumed exercise
of stock options and the conversion of two
dilutive convertible securities, 9.2 convertible
bonds and the 7.5 convertible preferred stock.
Earnings available to common stockholders were
adjusted accordingly. The remaining convertible
are antidilutive and are not included in diluted
earnings per share.
49Additional Notes (EPS)
- 1.About 1/3 companies in the U.S. has convertible
securities or warrants. - 2.It convertible securities are Not issued till
4/1/xx, the interest savings should be multiplied
by 9/12. Also, the impact of the conversion on
the weighted shares should also be multiplied by
9/12. - 3.If conversion rate is different for different
period, choose the highest conversion rate.
50Additional Notes (EPS)
- 4.Contingent issue agreementif all conditions
for issuing additional shares are met, these
shares should be included in the diluted EPS
computation. - This usually occurs in business combination.
- 5.Antidilutive convertible securities or warrants
should NOT be included.