FNCE20005 · Corporate Financial Decision Making
Real Options and M&A
A standard NPV is now-or-never: it discounts one fixed cash-flow path. But managers can wait for news, expand a winner, or abandon a loser — discretionary flexibility that is itself valuable. A real option is the right (not the obligation) to take such an action as information arrives, and its value is what dynamic analysis adds on top of static NPV: value = NPVwith − NPVwithout. Defer, expand and switch are calls (payoff V − X); abandon is a put (payoff X − V) — the trap that flips the whole valuation if you get it wrong. The chapter then turns to takeover valuation three ways — intrinsic DCF, relative multiples, and adjusted present value (APV), which separates a firm's operating value from its financing — and to M&A economics: the synergy gain, the NPV of a cash vs scrip bid, the maximum exchange ratio, and the EPS-bootstrapping illusion (a high-P/E firm buying a low-P/E one raises EPS with no value created). It closes with restructuring and distress: the diversification discount and break-ups, LBOs, the value-destroying distortions when equity behaves like a call near insolvency (asset substitution, debt overhang), and Altman's Z-score.
What this chapter covers
- 016.1 The real-option valuation identity (with vs without flexibility)
- 026.2 The four option types and their call/put analogues — abandon is a put
- 037.1 Adjusted present value (APV) vs WACC valuation
- 047.2 Three valuation approaches — DCF, multiples, contingent-claim
- 058.1 Synergy and the NPV of a cash vs scrip bid; the maximum exchange ratio
- 068.2 EPS bootstrapping and the earnings-weighted combined P/E
- 079-10 Restructuring, LBOs, distress distortions and Altman's Z-score
Worked example: the option to abandon (a put)
- +1Value each branch as a perpetuity: high = 2/0.10 = $20m; low = 0.5/0.10 = $5m.
- +1Apply the abandon put: if high, keep ($20m > $10m salvage); if low, abandon — take the $10m salvage, since 10 > 5.
- +1Value with the option: 0.5 × 20 + 0.5 × 10 = $15m.
- +1Value without the option: 0.5 × 20 + 0.5 × 5 = $12.5m (stuck with the low branch).
- +1Option value: 15 − 12.5 = $2.5m — the right to walk away in the bad state, exactly a put with strike = salvage.
Key terms
- Real option
- The right, not the obligation, to take a managerial action (defer, expand, abandon, switch) as information arrives. Its value is what dynamic analysis adds over static NPV: NPVwith − NPVwithout. Defer/expand/switch are calls; abandon is a put.
- Adjusted present value (APV)
- A valuation that separates operations from financing: value the firm as if all-equity (FCF at the unlevered cost of capital), then add the PV of interest tax shields. Better than WACC when leverage is changing (an LBO), because each year's shield is valued explicitly.
- Synergy
- The value a combination creates beyond the two stand-alone firms: ΔVAT = VAT − (VA + VT). It sets the bid range — from the target's stand-alone value up to the price where the acquirer captures none of the gain.
- EPS bootstrapping
- A high-P/E firm buying a low-P/E firm mechanically raises its EPS with no value created. The illusion vanishes once the combined firm is priced on the earnings-weighted P/E rather than the bidder's. EPS accretion is not value creation.
- Altman's Z-score
- A distress-prediction score, Z = 3.3(EBIT/TA) + 1.0(Sales/TA) + 1.2(NWC/TA) + 1.4(RE/TA) + 0.6(MVE/BVD). Z below 1.81 signals high distress risk; Z above 2.99 is safe. The last term uses market value of equity over book value of debt.
Real Options and M&A FAQ
Why is the option to abandon a put and not a call?
Because it pays off when the project's value falls below the salvage value: you walk away and collect salvage, a payoff of X − V (strike minus underlying), which is exactly a put. Defer, expand and switch all pay off on the upside, V − X, which is a call. Getting the direction wrong flips the sign of the whole valuation. A second trap is double-counting flexibility: if you have already lowered the discount rate to reflect a manager's ability to bail out, do not also add an abandonment-option value.
When should I use APV instead of WACC for a valuation?
APV separates operating value (FCF discounted at the unlevered cost of capital) from financing value (the PV of interest tax shields), so it is better when leverage is changing — an LBO or a transition — because you can value each year's tax shield explicitly. WACC bakes the financing benefit into the discount rate and assumes a constant target leverage. Both should agree under matching assumptions. Either way, remember to get to equity value by subtracting net debt before dividing by shares.
How do I find the bid range and the maximum price in an M&A question?
Start from synergy, ΔVAT = VAT − (VA + VT). For a cash bid, NPV to the bidder = ΔVAT − (cash − VT); the maximum price (NPV = 0) is VT + ΔVAT, above which the entire synergy leaks to the target. For a scrip bid, the target's old holders own a fraction b of the combined firm, so their stake is b·VAT and the maximum exchange ratio solves b·VAT = VT + ΔVAT. The bid range runs from the target's walk-away (VT) to that ceiling.
Why do asset substitution and debt overhang happen near distress?
Both flow from the same source: near insolvency, equity behaves like a call option on firm value with strike equal to the face value of debt, so with limited liability shareholders keep the upside and dump the downside on creditors. Asset substitution (risk-shifting) makes shareholders favour a risky, even negative-NPV project that shifts value from debt to equity; debt overhang (underinvestment) makes them reject a positive-NPV project because its gains accrue mostly to existing creditors. State the mechanism (equity is a call), not just the label, to earn the marks.
Exam move
This chapter is broad, so anchor each topic to its core move. Real options: identify the type, name the call/put analogue (remember abandon is a put), and value the flexibility as the difference between dynamic and static NPV, usually via a decision-tree roll-back. Valuation: know the three approaches, and always net out debt to get from firm value to equity value to a per-share price — the classic dropped mark. M&A: start from synergy, then compute the cash-bid NPV, the maximum price, or the maximum exchange ratio, and remember EPS accretion is not value (price the combined firm on the earnings-weighted P/E). Restructuring and distress: tie LBOs, asset substitution and debt overhang back to the one idea that equity is a call, and learn Altman's Z-score coefficients exactly, noting the last term mixes market value of equity with book value of debt.
