Merger valuation, exchange ratio and post-merger EPS

Financial Management · Unit V · Topic 16 of 16 · 4 min read

Methods of valuing a target, the bases of the share exchange ratio, post-merger and equivalent EPS, the maximum exchange ratio that avoids dilution, gain and cost of a merger, and the three paper problems solved: XYZ–ABC January 2026 (EPS Rs. 4 to Rs. 4.46), Milan–Megha February 2025 (EPS Rs. 2, MPS Rs. 30) and XYZ–ABC August 2024 (ratio 0.5).

← All Financial Management topics Past papers

On this page

1. Valuing the target
2. The exchange ratio
3. Worked problem: XYZ and ABC (January 2026)
4. Worked problem: Milan and Megha (February 2025)
5. Worked problem: XYZ and ABC (August 2024)
How this is examined

Cases checked to exist. Read the judgment before quoting a holding.

Every case cited here has been checked to exist — the citation resolves and names the right parties. The propositions attributed to each case have not been verified line by line against the judgment. Case names link through to the full judgment: read it before quoting a holding in an examination answer, and never carry a proposition from notes into court on trust.

The examinable core. The Unit V problem in every recent paper is the same type: compute EPS and P/E before the merger, apply an exchange ratio, and find EPS (and sometimes MPS) after. Three formulas do it: EPS = PAT ÷ shares; new shares = target shares × exchange ratio; post-merger EPS = combined PAT ÷ (acquirer’s shares + new shares).

1. Valuing the target

Net assets (book or realisable value): assets minus liabilities, per share. Useful as a floor; ignores earning power.
Earnings basis: EPS × an appropriate P/E ratio, or maintainable profit capitalised at a normal rate of return.
Market value: the quoted price; simple for listed companies but affected by speculation.
Discounted cash flow: present value of the target’s expected free cash flows, including synergy, at the acquirer’s cost of capital. The most sound method.

Gain and cost. Gain from merger (synergy) = V_AB − (V_A + V_B). Cost to the acquirer = price paid − V_B. NPV to the acquirer = gain − cost. A merger is worth doing only if the synergy exceeds the premium paid.

2. The exchange ratio

The exchange ratio (ER) is the number of the acquirer’s shares given for one share of the target. It may be based on:

EPS: ER = EPS of target ÷ EPS of acquirer;
market price: ER = MPS of target ÷ MPS of acquirer;
book value per share, or a negotiated figure.

Post-merger EPS = (E_A + E_B) ÷ (N_A + N_B × ER). The target’s shareholders’ equivalent EPS = post-merger EPS × ER. The maximum ER the acquirer can give without diluting its EPS is [(E_A + E_B) ÷ EPS_A − N_A] ÷ N_B.

3. Worked problem: XYZ and ABC (January 2026)

Particulars	XYZ Ltd	ABC Ltd
Shares	10,00,000	6,00,000
PAT Rs.	40,00,000	18,00,000
MPS Rs.	28	14
(a) EPS Rs.	4.00	3.00
P/E	7.0	4.67

(b) ER on market price = 14 ÷ 28 = 0.5. New shares = 6,00,000 × 0.5 = 3,00,000. Total shares 13,00,000; combined PAT 58,00,000. Post-merger EPS of XYZ = 58,00,000 ÷ 13,00,000 = Rs. 4.46.

(c) Recommendation. XYZ’s EPS rises from Rs. 4.00 to Rs. 4.46 (11.5%), because it buys earnings at a P/E of 4.67 while its own shares sell at 7. From XYZ’s side the merger is recommended. ABC’s shareholders get an equivalent EPS of 4.46 × 0.5 = Rs. 2.23 against Rs. 3.00 before, but if the market keeps XYZ’s P/E of 7, the post-merger price is 4.46 × 7 = Rs. 31.23 and their half share is worth Rs. 15.62 against Rs. 14 before; so they also gain in market value. The maximum ER without dilution for XYZ is (58,00,000 ÷ 4 − 10,00,000) ÷ 6,00,000 = 0.75; the proposed 0.5 is well within it.

Trap. A rise in EPS from buying a low-P/E company is not by itself a real gain (the “bootstrapping” effect). It becomes one only if the market keeps the higher P/E for the combined firm, which requires real synergy. One sentence on this lifts the recommendation answer.

4. Worked problem: Milan and Megha (February 2025)

Milan acquires Megha on a 1 : 1 basis. Figures in thousands.

Particulars	Megha	Milan	After merger
PAT (Rs. 000)	800	800	1,600
Shares (000)	400	400	800
EPS Rs.	2	2	2
Market value (Rs. 000)	16,000	8,000	24,000
MPS Rs.	40	20	30
P/E	20	10	15

Milan issues 400 thousand shares for Megha’s 400 thousand. (a) EPS after merger = 1,600 ÷ 800 = Rs. 2. Assuming the combined market value is unchanged at Rs. 24,000 thousand: (c) MPS = 24,000 ÷ 800 = Rs. 30 and (b) P/E = 30 ÷ 2 = 15.

Comment: Milan’s shareholders gain (price Rs. 20 to Rs. 30); Megha’s lose (a Rs. 40 share exchanged for one worth Rs. 30). A 1 : 1 ratio ignores Megha’s higher market rating; on market prices the fair ratio would be 2 : 1. If instead the market valued the combined firm at Milan’s P/E of 10, MPS would be Rs. 20; state the assumption.

5. Worked problem: XYZ and ABC (August 2024)

Particulars	XYZ	ABC
EAT Rs.	4,00,000	1,00,000
Shares	2,00,000	1,00,000
MPS Rs.	25	12.50
(i) EPS Rs.	2	1
(i) P/E	12.5	12.5

(ii) If ABC’s P/E is 8, its market price = 8 × 1 = Rs. 8.

(iii) For XYZ’s EPS to stay at Rs. 2, ER = EPS_ABC ÷ EPS_XYZ = 1 ÷ 2 = 0.5 (one XYZ share for two ABC shares). Check: new shares 50,000; total 2,50,000; combined EAT 5,00,000; EPS = Rs. 2.

How this is examined

Set out the pre-merger table first (EPS, P/E, market value), state the exchange ratio and its basis, compute new shares and post-merger EPS, and end with a comment on who gains. When the question asks whether to recommend the merger (January 2026), the comment carries a third of the marks: compare EPS and market value for both sets of shareholders.

Now try the real questions: Financial Management past question papers.