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Earnings per share (IAS 33)

VIVA Subject Guide

1 Basic Earnings per Share

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Basic EPS

If the number of shares has changed during the period the following assumptions are made regarding the weighted average number of shares:

Full price issue

Normal weighted average calculation

Bonus issues

Assume that the bonus shares have always been in issue (and therefore alter the comparative EPS amount)

Rights issue

Assume that the shares issued are a mix of bonus and full price shares. For the bonus element assume that they have always been in issue and therefore adjust the comparative

A bonus issue is not weighted from the date it is made, and it does not stop at the current year. Because no cash comes in, the bonus shares are treated as always having been in issue: the bonus fraction (shares in issue after ÷ shares in issue before) is applied to every period before the bonus, while a full-price issue is still weighted from its date — the Ernie example below does both in one working (5,250,000 shares, 14.29c). Last year's EPS is restated by the inverse of the bonus fraction (15.5c × 2/3 = 10.33c), not recalculated on this year's number of shares. Weighting the bonus shares from the date of issue, or leaving the comparative alone, are the two errors that appear together in these questions.

If bonus issues or rights issues occur after the reporting date, but before the date of approval of the accounts the EPS should be calculated based on the number of shares following the issue.

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Basic EPS

Ruth makes up its accounts to 30 June each year. On 1 July 20X5 Ruth has 500 million ordinary shares in issue.

Profits for the year to 30 June 20X6 were $250m. There were no preference shares in issue.

Calculate the basic earnings per share assuming:

  1. Share capital has not changed during the year

  2. An issue of 50 million new shares at full market price on 1 August 20X5.

  3. A 1 for 4 bonus issue occurring on 1 November 20X5.

  4. A 1 for 5 rights issue on 1 February 20X6 held at $1.25. The price of a share immediately before the rights issue was $1.40.

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a) Basic EPS=250m500m=50c per share
b) Basic EPS=250m546m (W)=45.8c per share

Date

No. shares in issue

Weighting
(# months)

Weighted average no. shares

1 July X5

500m

1/12

42m

1 August X5

550m

11/12

504m

WANS =

546m

New number of shares

Original number

500

New issue

50

New number

550

c) Basic EPS=250m625m=40c per share

New number of shares

Original number

500

New issue

125

New number

625

d) Basic EPS=250m546m=45.8c per share

Date

No. shares in issue

Weighting
(# months)

Fraction

Weighted average no. shares

1 July X5

500m

7/12

1.40/1.38

296m

1 Feb X6

600m

5/12

250m

WANS =

546m

New number of shares

500m × 1 ÷ 5 = 100m extra shares

New number of shares = 500m + 100m = 600m

Theoretical ex-rights price

$

$

5 shares at

1.40

7.00

1 share at

1.25

1.25

6 shares

8.25

TERP = 8.25/6 = $1.375

Therefore rights issue fraction = 1.40 / 1.38

Multiple share issues and prior year comparatives

Ernie had earnings of $750,000 for the year-ended 31 March 2019. There were 2,000,000 $1 equity shares in issue on 1 April 2018, and a new issue of 3,000,000 shares at full market price was carried out on 30 September 2018. A bonus issue of one new share for every two shares held was issued on 1 December 2018.

The EPS figure reported for the year-ended 31 March 2018 was 15.5c.

Calculate the basic EPS for Ernie for the year-ended 31 March 2019, and restate the comparative figure for 31 March 2018.

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EPS (31 March 2019)=$750,0005,250,000(W)=14.29c

EPS (31 March 2018 - restated) =   15.5 x 2/3   = 10.33c

(W)

Date

No. shares in issue

Weighting (# months)

Fraction

Weighted average no. shares

1.4.18 – 30.9.18

2,000,000

6/12

3/2

1,500,000

New issue

3,000,000

1.10.18 – 30.11.18

5,000,000

2/12

3/2

1,250,000

Bonus issue

2,500,000

1.12.18 – 31.3.19

7,500,000

4/12

2,500,000

WANS =

5,250,000

Bonus fraction

=

No. shares in issue after

=

3

(1-for-2)

No. shares in issue before

2

2 Diluted earnings per share

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This is calculated where potential ordinary shares have been outstanding during the period which would cause EPS to fall if exercised (dilutive instruments).

The earnings should be adjusted by adding back any costs that will not be incurred once the dilutive instruments have been exercised. This will include for post-tax interest saved on convertible debt.

The number of shares will be adjusted to take account of the exercise of the dilutive instrument. This means that adjustment is made:

For convertible instruments

By adding the maximum number of shares to be issued in the future

For options

By adding the number of effectively “free” shares to be issued when the options are exercised

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Diluted EPS

Flanagan makes up his accounts to 31 December each year and has calculated the basic EPS based on actual shares of 1,000 million and earnings of $500m, for the year ended 31 Dec 20X5.

Convertible debentures

On 31 December 20X5 Flanagan had in issue $10m of 5% convertible loan stock.

The loan stock is convertible at the following dates with the following terms:

31 Dec 20X6     125 shares for every $100 of loan stock

31 Dec 20X7     120 shares for every $100 of loan stock

The tax rate is 20%

Share options

Flanagan also granted 100m options at the same date. The option price is $2.50 but the average fair value of a share is $4.00.

Calculate the fully diluted EPS for the year to 31 December 20X5.

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i)   Convertible loan stock

Diluted EPS=500m+400k1,000m+12.5m=49.4c per share

(W1)   Extra earnings = $500,000 x (1 – 0.2) = $400,000

(W2)   Extra Shares = $10m x 125 shares / $100 = 12.5m

ii)   Share options

Diluted EPS=500m1,000m+37.5m=48.2c per share

No. shares under the option

100m

No. shares at full market value

100 x $2.50/$4.00

62.5m

37.5m

Fully diluted EPS

Earnings

($m)

Shares

(m)

Basic

500

1,000

Options

-

37.5

Convertibles

0.4

12.5

500.4

1,050

47.6c

Both the basic EPS of 50c and the fully diluted EPS of 47.6c are to be disclosed.

Practice questions

Earnings per share (IAS 33)

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