Business Valuation and Mergers
Corporate Finance
Business Valuation and Mergers
Syllabus tag: KASNEB CPA | Advanced Level | CA33 Advanced Financial Management | Topic 6 Business Valuation and Mergers
Lesson objectives
By the end of this topic, you will be able to:
- Identify and value the sources of synergy
- Compute the maximum price a bidder should pay
- Compare a cash offer with a share exchange
- Compute how the gain is divided between the two sets of shareholders
- Explain why many acquisitions destroy value for the acquirer
Why this matters
CA22 valued a business standing alone. This topic asks what it is worth to a particular buyer, why that differs, and who captures the difference. The arithmetic of that division decides whether an acquisition succeeds.
Sources of synergy
Revenue synergy — cross-selling, wider distribution, a stronger brand. Usually the least reliable, because it depends on customers behaving as predicted.
Cost synergy — eliminating duplicate functions, purchasing scale, closing overlapping facilities. The most dependable, because it is within the acquirer's control.
Financial synergy — greater debt capacity, a lower cost of capital, using the target's tax losses.
Managerial synergy — replacing underperforming management with better.
A useful discipline in an examination answer: cost synergies should be quantified and revenue synergies treated with scepticism. The two are not equally credible, and saying so earns marks.
The one company throughout
Acquirer A: 20,000,000 shares at KES 45 — value KES 900,000,000 Target T: 8,000,000 shares at KES 22 — value KES 176,000,000 Synergy from combination: KES 64,000,000
Combined value = 900 + 176 + 64 = KES 1,140,000,000
Maximum price for T = standalone value + all the synergy
= 176,000,000 + 64,000,000 = KES 240,000,000, or KES 30.00 per share
Above 30.00 the acquirer's own shareholders are worse off. At exactly 30.00 the entire benefit has passed to the target. The bargaining range is between 22.00 and 30.00, and where the price lands inside it decides who gains.
Cash offer
A offers KES 26.00 per T share:
| KES | |
|---|---|
| Cost (8,000,000 × 26) | 208,000,000 |
| T standalone value | (176,000,000) |
| Gain to T shareholders | 32,000,000 |
| Gain to A shareholders (64m − 32m) | 32,000,000 |
The synergy splits evenly. Note the essential feature of a cash offer: the gain to the target is fixed at the moment of the deal. T's shareholders take their 32,000,000 and have no further interest in whether the synergies materialise. All the integration risk stays with A.
Share exchange
A offers one A share for every two T shares:
| New shares issued | 8,000,000 / 2 = 4,000,000 |
| Total shares after | 20,000,000 + 4,000,000 = 24,000,000 |
| Value per share after | 1,140,000,000 / 24,000,000 = KES 47.50 |
| KES | |
|---|---|
| Value to T shareholders (4,000,000 × 47.50) | 190,000,000 |
| Less T standalone value | (176,000,000) |
| Gain to T | 14,000,000 |
| Gain to A: 20,000,000 × (47.50 − 45.00) | 50,000,000 |
| Total | 64,000,000 |
The gains reconcile to the synergy exactly. That check is worth performing in any examination answer — if the two gains do not sum to the synergy, the working is wrong.
Cash or shares?
| Cash offer | Share exchange | |
|---|---|---|
| Gain to target | Fixed at the deal | Depends on whether synergies arrive |
| Integration risk | Borne by the acquirer | Shared |
| Control of acquirer | Unchanged | Diluted |
| Funding | Requires cash or borrowing | No cash needed |
| Tax for target holders | Usually a disposal, triggering CGT | Often deferred |
| Signal | Confidence in the synergies | May suggest the acquirer's shares are overvalued |
The signalling point is worth understanding. An acquirer certain the synergies are real prefers to pay cash and keep the whole gain. Choosing to pay in shares transfers part of the risk — which the market may read as doubt.
Why acquisitions destroy value
The recurring pattern is not mysterious:
- Overestimated synergies, especially revenue synergies
- Overpayment, driven by competitive bidding or executive ambition
- Integration failure — cultural mismatch, key staff leaving
- The winner's curse: in a contested auction, the bidder who wins is usually the one who has most overestimated the value
Everything in this topic reduces to a single figure — the maximum price — and to the discipline of not exceeding it. The arithmetic is straightforward; the difficulty is holding the line when a deal has acquired momentum.
:::checkpoint A bidder in a contested auction raises its offer for T to KES 33 per share, arguing that losing to a competitor would be strategically worse. Using the figures above, quantify the effect on A's shareholders and comment on the argument. :::