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Microlesson · 5-min read

Weighted Average Number of Equity Shares (WANES)

## Weighted Average Number of Equity Shares (WANES)

Each tranche of shares is time-weighted — multiplied by the fraction of the reporting period it was actually outstanding.

$$\text{WANES} = \sum \left(\text{No. of Shares} \times \frac{\text{Months Outstanding}}{\text{Total Months in Period}}\right)$$

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### When Do Shares Enter the Count?

EventCounted From
Opening balanceStart of period (full weight)
New issue for cashDate of issue
Buyback / cancellationDeducted from date of buyback
Bonus / split / consolidationStart of earliest period (see Bonus topic)

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### Two Equivalent Calculation Methods

Method 1 – Incremental (add each change separately)

Weight each tranche from the date of the event and sum all:

TrancheSharesWeightWeighted
Opening balance+12/12
New issue+months remaining / 12
Buybackmonths remaining / 12
WANESSum

Method 2 – Period balance (running total)

Compute the actual share count in each sub-period and weight by sub-period length:

Sub-periodSharesMonthsWeighted
Jan – event 1Xn₁X × n₁/12
Event 1 – event 2X+issuen₂...
Event 2 – DecX+issue−buybackn₃...
WANESSum

Both methods always produce the same answer.

Worked example

### Example 1

WANES with a New Issue and a Buyback (December year-end)

DateEventShares
01-JanOpening Balance1,800
31-MayNew shares issued+600
01-NovBuyback−300

Incremental Method:

TrancheSharesMonths RemainingWeightWeighted
Opening1,8001212/121,800
New issue (31 May → Dec = 7 months)+60077/12+350
Buyback (1 Nov → Dec = 2 months)−30022/12−50
WANES2,100

Period Balance Method (verification):

Sub-periodSharesMonthsWeighted
Jan–May (5 months)1,8005750
Jun–Oct (5 months)2,40051,000
Nov–Dec (2 months)2,1002350
WANES2,100

### Example 2

WANES with Partly Paid Shares (December year-end)

DateSharesFace ValuePaid-Up
01-Jan1,800₹10₹10 (fully paid)
01-Jan1,000₹10₹5 (partly paid)

Partly paid shares are converted to fully-paid equivalents first:

Equivalent = 1,000 × (5/10) = 500 shares

WANES = 1,800 + 500 = 2,300 shares

Rule: Partly paid shares participate in earnings only to the extent of the fraction paid up.

⚠️ Common exam mistakes

  • Using a simple average of opening and closing shares instead of a proper time-weighted average.
  • Counting months from the wrong end — a share issued on 1 November in a December year-end is outstanding for 2 months, not 11.
  • Forgetting to subtract the buyback — it reduces the weighted count from the date of buyback, not from year-start.
  • Treating bonus shares like a cash issue and time-weighting them by date — bonus shares always receive full-year weight (they are assumed outstanding from the start of the earliest period).
  • Including partly paid shares at their full face count without converting to fully-paid equivalents.
Reference: Para 15–20 (WANES computation) — AS 20 – Earnings Per Share (ICAI)
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