Why must you use market-value D/E rather than book D/E when re-levering beta?
How this comes up in interviews
Remediation itself never appears as an interview question, but its result is precisely what a superday measures. Elite-boutique interviewers are trained to find the edge of your knowledge and then drill at it: the moment you wobble, the follow-ups concentrate there. What they're actually testing is whether your preparation has depth past the first miss, and whether your second answer on a topic is stronger than your first.
Three signals separate a remediated candidate from a crammer:
1. Chains, not fragments. A crammer can state that write-ups create DTLs; a remediated candidate runs the full chain unprompted: write-up, DTL at the tax rate, goodwill plug adjusted upward, and the DTL unwinding through the P&L as the incremental book depreciation reverses. Interviewers push exactly one step past where most candidates stop, because that's where memorization ends and understanding begins.
2. Recovery behavior. Everyone misses something on a superday. Interviewers watch what happens next: strong candidates flag the error themselves ("wait, the base for that DTL should be the write-up, not the price; let me redo it"), fix it cleanly, and don't carry the wobble into the next question. Self-correction in real time is read as evidence you'll be trustworthy with live analysis at 2 a.m.
3. Consistency under re-asks. Later rounds frequently re-ask a topic you already handled, phrased differently, because interviewers compare notes. If your accretion/dilution logic in round one and your breakeven-synergy math in round four use the same framework and the same tax discipline, that consistency reads as mastery. If the tax treatment silently changes between rounds, both answers get discounted.
Signal mastery by narrating your error taxonomy when asked how prep is going ("my misses are speed, not mechanics, so I'm drilling timed paper LBOs"): self-aware, structured preparation is itself an elite signal.
Common mistakes
These are the five highest-frequency traps in late-course quiz logs: each is a broken link in a chain calculation.
Trap 1: Computing the DTL on the purchase price instead of the write-up. The DTL exists because book basis stepped up while tax basis didn't, so it can only be measured on the step-up itself.
Say it out loud: "The DTL is the write-up times the tax rate: a $100 write-up at 25% creates a $25 DTL, and goodwill increases by that $25 so the balance sheet still balances."
Trap 2: Quoting breakeven synergies after-tax. Synergies are negotiated and disclosed pre-tax; the dilution they must cover is after-tax. Dividing by (1 − t) is the step candidates skip.
Say it out loud: "The deal is $30 million dilutive after tax, so we need $30 million divided by one minus the 25% tax rate ($40 million of pre-tax synergies) to break even."
Trap 3: Converting MoIC to IRR by dividing by the years. 2.0x over 5 years is not 20%: returns compound. Dividing overstates the IRR every time, and interviewers listen for exactly this error.
Say it out loud: "2.0x over five years is about a 15% IRR (doubling in five years means roughly 72 divided by 5 by the rule of 72), not 20%, because the return compounds."
Trap 4: Re-levering beta with book D/E or dropping the (1 − t). Book equity is an accounting residual; beta lives in market prices. And the tax term is not decoration: it reflects the tax shield muting the leverage effect.
Say it out loud: "I re-lever with Hamada using the target's market-value debt-to-equity: levered beta equals unlevered beta times one plus (1 minus the tax rate) times D over E."
Trap 5: Getting NCI's direction wrong in the EV bridge. Candidates 'net it out' or subtract it. NCI is added to enterprise value: because consolidated EBITDA includes 100% of the subsidiary, EV must represent a claim on 100% of it.
Say it out loud: "I add minority interest to enterprise value for consistency: consolidated EBITDA includes all of the subsidiary's earnings, so the value in the numerator has to include the piece of the subsidiary we don't own."
Trap 6 (meta): Patching the missed step instead of re-running the whole chain. After a miss, most candidates re-study only the link that broke. Under pressure the chain breaks at its new weakest link. Always re-derive end to end.
Say it out loud: "Let me walk the full bridge from the top so the pieces stay consistent: price, book value, write-up, DTL, then the goodwill plug."
Also asked as
- Your quiz log shows you missed a timed accretion/dilution question you had gotten right untimed a week earlier. Classify the failure mode and state the correct remediation.
- A buyer writes up a target's PP&E by $80M in a stock acquisition with a 25% tax rate. What deferred tax liability is created, and does goodwill end up higher or lower because of the DTL?
- An all-stock deal: acquirer trades at 18x earnings, and the price paid for the target (premium included) works out to 12x the target's earnings. Accretive or dilutive, and why in one sentence?
- A deal is $18M dilutive to after-tax earnings at a 25% tax rate. What pre-tax synergies are required to break even, and why is the answer not $18M?
- Unlevered beta 0.95, target D/E 0.8, tax rate 25%, risk-free 4%, ERP 5%. Compute the levered beta and cost of equity.
- A sponsor makes 2.0x over 4 years. Approximate the IRR without a calculator, and explain the anchor you used.
- Purchase price $600M for equity, book net assets $350M, PP&E write-up $60M, identified intangibles $40M, tax rate 30%. Compute the DTL and goodwill, then verify goodwill a second way using fair value of identifiable net assets.
- Entry: 7.0x on $200M EBITDA, 55% debt. Exit in year 5: EBITDA $290M at 7.5x with debt down to $370M. Compute MoIC, approximate IRR, and decompose the equity gain into EBITDA growth, multiple expansion, and debt paydown, and confirm the bridge foots.
- In year 2 of a 5-year hold, a sponsor executes a dividend recap returning 50% of invested equity, funded with new debt that reduces exit equity value slightly. Explain precisely what happens to IRR and to MoIC, and why the two metrics diverge here.
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