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Microlesson · 5-min read

AS 20 – Diluted EPS: Convertible Preference Shares

## Diluted EPS — Convertible Preference Shares

### Why Convertible Preference Shares Are Potential Equity Shares (PES)

Convertible preference shares can be exchanged for equity shares at a pre-agreed ratio. Because they may become equity shares in the future, they are classified as Potential Equity Shares (PES) and must be considered when computing diluted EPS.

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### Effect on the Two Components of Diluted EPS

ComponentAdjustmentReason
Numerator (EAFESH)Add back preference dividendDividend is saved when pref. shares convert to equity
Denominator (WANES)Add equity shares from conversion (No. of pref. shares × conversion ratio)Potential shares that would be issued on conversion

> Critical rule — No tax adjustment on preference dividend savings. Preference dividend is declared and paid from post-tax profits. Unlike interest on debentures (which reduces taxable income), preference dividend creates no tax shield. Therefore, the full dividend amount is added back without any tax grossing-up.

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### Step-by-Step Process

Step 1 — Basic EPS

$$\text{Basic EPS} = \frac{\text{EAFESH}}{\text{WANES}}$$

Step 2 — Diluted EPS (Working Notes)

WN 1 — Adjusted Numerator:

$$\text{Adj. EAFESH} = \text{EAFESH} + (\text{Pref. Shares} \times \text{Face Value} \times \text{Dividend Rate})$$

WN 2 — Adjusted Denominator:

$$\text{Adj. WANES} = \text{WANES} + (\text{Pref. Shares} \times \text{Conversion Ratio})$$

Step 3 — Compute and Test

$$\text{Diluted EPS} = \frac{\text{Adj. EAFESH}}{\text{Adj. WANES}}$$

  • If Diluted EPS < Basic EPS → Dilutive → include in reported diluted EPS
  • If Diluted EPS > Basic EPS → Anti-Dilutive → exclude; report Basic EPS = Diluted EPS

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### Contrast: Preference Dividend vs. Debenture Interest (Tax Treatment)

InstrumentNumerator AdjustmentTax Adjustment?
Conv. Pref. SharesAdd back preference dividendNo — post-tax item
Conv. DebenturesAdd back interest expenseYes — pre-tax item; multiply by (1 − tax rate)

For debentures: Adj. EAFESH = EAFESH + Interest × (1 − Tax Rate)

Worked example

### Example 1

Example — Convertible Preference Shares (from class notes, Page 25)

Given: EAFESH = ₹10,00,000 | WANES = 1,00,000 shares | Tax rate = 30% (irrelevant here)

5,000 convertible preference shares, face value ₹100 each, 8% dividend, outstanding for whole year.

Conversion ratio: 10 equity shares per preference share.

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Step 1 — Basic EPS

= 10,00,000 / 1,00,000 = ₹10.00 per share

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Step 2 — Diluted EPS

WN 1 — Adjusted Numerator:

EAFESH10,00,000
Add: Preference dividend saved (5,000 × ₹100 × 8%)40,000
(No tax adjustment — pref. div. is post-tax)
Adjusted EAFESH10,40,000

WN 2 — Adjusted Denominator:

Shares
WANES1,00,000
Add: Effect of PES (5,000 pref. shares × 10)50,000
Adjusted WANES1,50,000

Diluted EPS = 10,40,000 / 1,50,000 = ₹6.93 per share

✓ 6.93 < 10.00 → Dilutive → Include in diluted EPS computation.

### Example 2

Example — Convertible Debentures (Example 016, Page 29) — Tax Adjustment Contrast

Given: EAFESH = ₹1,84,000 | WANES = 46,000 shares | Tax rate = 30%

₹10,00,000 convertible debentures @ 12% p.a. — each ₹100 debenture converts into 3 equity shares.

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Step 1 — Basic EPS

= 1,84,000 / 46,000 = ₹4.00 per share

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Step 2 — Diluted EPS

WN 1 — Adjusted Numerator:

EAFESH1,84,000
Add: Interest saved net of tax (10,00,000 × 12% × 70%)84,000
Adjusted EAFESH2,68,000

WN 2 — Adjusted Denominator:

Shares
WANES46,000
Add: Effect of PES (10,000 deb. × 3 shares each)30,000
Adjusted WANES76,000

Diluted EPS = 2,68,000 / 76,000 = ₹3.53 per share

✓ 3.53 < 4.00 → Dilutive → Include.

⚠️ Common exam mistakes

  • Applying tax adjustment to preference dividend savings — pref. dividend is paid from post-tax profit; there is no tax shield. Only debenture interest gets a tax adjustment.
  • Using total face value of all pref. shares instead of per-share value × no. of shares × dividend rate (e.g., 5,000 × ₹100 × 8% = ₹40,000, not 5,000 × 8%).
  • Multiplying conversion ratio incorrectly — if '10 equity shares per preference share', multiply number of preference shares by 10 (not divide).
  • Forgetting to check dilutive vs. anti-dilutive — always compare diluted EPS with basic EPS before deciding to include the PES.
  • Adding the preference dividend net of tax (e.g., ₹40,000 × 70%) — there is no such grossing-down for pref. dividend adjustments.
Bare-Act text Paragraph 35 · AS 20 – Earnings Per Share (ICAI) · click to expand
For the purpose of calculating diluted earnings per share, the net profit or loss attributable to ordinary equity shareholders should be adjusted for the after-tax effect of: (a) any dividends or other items related to dilutive potential ordinary shares that were deducted in arriving at net profit or loss attributable to ordinary equity shareholders; and (b) any interest recognised in the period related to dilutive potential ordinary shares; and (c) any other changes in income or expense that would result from the conversion of the dilutive potential ordinary shares.
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