"You're three years into a hold. The company has deleveraged from 5.0x to 2.8x. Should you recapitalize and pay yourselves a dividend, or just hold to exit?"

This is a mid-to-late round private equity interview question, and it is unusually revealing. It cannot be answered with a memorized definition, because the interviewer wants a number at the end. It cannot be answered purely with arithmetic either, because the arithmetic produces a result that looks contradictory until you explain it. Candidates who have only read about dividend recapitalizations usually get the direction of the IRR right and then say something wrong about the multiple of money.

What follows is a five-step framework for answering the question under pressure, worked end to end with a consistent set of numbers, plus the mental math shortcuts, the follow-ups that reliably come next, and the specific errors that cost candidates the round.

What the Question Is Actually Testing

Before the framework, be clear on what is being assessed. A dividend recapitalization question tests four things simultaneously.

First, whether you understand that a recap changes the split of enterprise value between debt and equity without changing enterprise value itself. Second, whether you can size debt capacity from a leverage target and translate it into a cash dividend net of fees. Third, whether you grasp that IRR and MoM are different metrics that can move in opposite directions. Fourth — and this is the one that separates offers from rejections — whether you can articulate the qualitative case without pretending the transaction is free.

If the underlying leveraged buyout mechanics are not yet second nature, work through the core LBO leverage case first. A recap question assumes that foundation and builds on it.

The Five-Step Framework

Say the structure out loud before you start calculating. Interviewers reward candidates who signpost.

Step 1: establish the current capital structure and leverage. Step 2: size the new debt package and the dividend. Step 3: pressure-test with interest coverage and covenants. Step 4: roll both scenarios forward to exit. Step 5: compute and compare MoM and IRR, then give a recommendation.

The worked example below uses one consistent fact pattern throughout: entry at 9.0x EBITDA of $80.0m for a $720.0m enterprise value, funded with $400.0m of debt and $320.0m of sponsor equity. Three years later EBITDA is $100.0m and debt is $280.0m. Exit is planned for the end of Year 5 at 9.0x on $110.0m of EBITDA.

Step 1: Establish the Starting Capital Structure

Leverage = Total Debt / LTM EBITDA.

At entry: $400.0m / $80.0m = 5.0x. At the end of Year 3: $280.0m / $100.0m = 2.8x.

Do not just state the ratio — explain why it fell, because that explanation is the entire justification for the transaction. Two forces worked in the same direction. The numerator fell as the cash sweep applied $120.0m of cumulative free cash flow to principal. The denominator rose as EBITDA grew 25%. The gap between the 2.8x actually carried and the roughly 4.5x the credit market would still underwrite is the unused debt capacity that funds the dividend.

If you are unsure how quickly debt amortizes in a typical structure, the LBO debt schedule case builds the sweep waterfall line by line, and the explainer on how interest, amortization and the cash sweep interact covers the same mechanics in prose.

Step 2: Size the New Debt Package and the Dividend

Three quick lines get you to the dividend:

New Debt = Target Leverage x LTM EBITDA = 4.5 x $100.0m = $450.0m

Incremental Debt Raised = $450.0m − $280.0m = $170.0m

Dividend = Incremental Debt − Financing Fees = $170.0m − $9.0m = $161.0m, using fees of 2.0% (0.02) on the new facility.

Two details matter here. Fees are charged on the full new facility, not just the incremental slice, because the whole package is refinanced. And the fees are funded out of the debt proceeds, so the sponsor writes no cheque — the dividend is simply what remains.

Say explicitly at this point that enterprise value has not moved. The company is worth exactly what it was worth an hour before the recap closed. This one sentence pre-empts the most common follow-up and demonstrates the enterprise-versus-equity distinction without being asked. Where the target leverage number itself comes from is worth being able to defend; the debt capacity case and the article on answering a debt capacity question step by step walk through the leverage, coverage and DSCR tests that set it.

Step 3: Pressure-Test With Coverage and Covenants

Strong candidates volunteer a sanity check before moving on. Interest coverage is the fastest one.

Pre-recap interest: $280.0m x 7.0% (0.07) = $19.6m, giving coverage of $100.0m / $19.6m = 5.10x.

Post-recap interest: $450.0m x 8.0% (0.08) = $36.0m, giving coverage of $100.0m / $36.0m = 2.78x.

Note that the cost of debt rose from 7.0% to 8.0% across the entire balance, not just on the new money — lenders reprice the whole facility. At 2.78x the company still clears a typical 2.0x covenant floor, but the cushion is now thin: a 30% EBITDA decline would take coverage to roughly 1.95x and breach it. Naming that break-even decline unprompted is a strong signal.

Mention the restricted payments basket here too. Leverage capacity says what the market would lend; the credit agreement says what the company may actually distribute. If the basket caps payments at $120.0m, the dividend is capped there regardless of capacity, the facility lands nearer $408.0m (about 4.1x), and returns fall between the two base cases at roughly 2.42x MoM and 21.1% IRR. Candidates who raise the basket without being prompted almost always have real deal exposure. The way tranches rank and price through a repricing like this is covered in the LBO debt structures case.

Step 4: Roll Both Scenarios Forward to Exit

Exit enterprise value is identical in both scenarios: $110.0m x 9.0 = $990.0m. Only the debt balance differs.

With the recap: debt starts at $450.0m and the sweep contributes $70.0m over Years 4–5, leaving $380.0m. Exit equity = $990.0m − $380.0m = $610.0m.

Without the recap: debt starts at $280.0m and the sweep contributes $90.0m, leaving $190.0m. Exit equity = $990.0m − $190.0m = $800.0m.

The critical detail is why the sweep differs: $70.0m versus $90.0m. It is not an arbitrary assumption. The larger facility carries $36.0m of annual cash interest against $19.6m before, and that extra $16.4m a year is cash that never reaches the debt paydown line. Over two years that is roughly $20.0m of lost deleveraging. Candidates who model exit debt as simply "the old balance plus $170.0m" systematically understate the cost of the transaction, and interviewers watch for it.

If exit assumptions themselves are the weak point, the entry and exit multiple case and the piece on multiple expansion as a value creation lever cover how sensitive the equity line is to what you assume about the exit environment.

Step 5: Compute and Compare MoM and IRR

Without the recap, the sponsor has one outflow and one inflow, so the IRR annualizes directly:

MoM = $800.0m / $320.0m = 2.50x; IRR = 2.50^(1/5) − 1 = 20.1%.

With the recap, there is an intermediate cash flow, so IRR must be solved:

MoM = ($161.0m + $610.0m) / $320.0m = 2.41x; solving $320.0m = $161.0m / (1+r)^3 + $610.0m / (1+r)^5 gives 21.5%.

Deliver the conclusion in one sentence: the recap raises IRR by about 1.4 percentage points while reducing total dollars returned by $29.0m, because MoM counts dollars and ignores timing while IRR weights timing heavily. Then decompose the $29.0m — $9.0m of fees and roughly $20.0m of forgone deleveraging from the incremental interest. That decomposition is what a strong answer sounds like. The distinction between the two metrics is drilled properly in the MoM and IRR calculation case and the article on why funds track both.

Mental Math Shortcuts for the Live Answer

You will not have a spreadsheet. Three shortcuts carry most recap questions.

The tripling rule. Roughly 3.0x over five years is about a 25% IRR, 2.5x is about 20%, and 2.0x is about 15%. These three anchors let you sanity-check almost any single-exit LBO instantly. Our 2.50x over five years landing at 20.1% is exactly the middle anchor.

The early-cash rule. Pulling forward roughly half the equity cheque by two years typically adds one to two percentage points of IRR on a deal in the 20% range. If your calculation says the recap added eight points, you have made an error somewhere.

The interest drag rule. Incremental interest is simply incremental debt times the cost of debt. Here, $170.0m at 8.0% is roughly $14.0m a year, and the repricing of the existing balance adds the rest to reach $16.4m. Multiply by the remaining years to estimate lost deleveraging without building a schedule.

These are the same instincts the paper LBO case trains, and the guide on the paper LBO as a PE interview classic covers the broader mental-math toolkit.

The Follow-Ups You Should Expect

"What if the exit multiple compresses to 8.0x?"

Exit enterprise value falls to $880.0m. With the recap, exit equity is $500.0m, giving 2.07x MoM and about 17.7% IRR. Without it, exit equity is $690.0m, giving 2.16x MoM and 16.6% IRR. The recap still wins on IRR, and the strategic argument strengthens: $161.0m was banked before the multiple compressed, so less of the return was exposed to a deteriorating exit market.

"Why would a lender ever agree to this?"

Because the credit is demonstrably stronger than at underwriting: three years of EBITDA growth and $120.0m of principal repaid, versus projections alone at entry. Re-levering to 4.5x is still below the original 5.0x. Lenders are paid through repricing across the whole balance, $9.0m of fees, reset covenants and call protection — and sponsors are repeat issuers whose next platform financing is worth protecting.

"Does this create value?"

Almost none at the enterprise level. The one genuine source is the incremental interest tax shield: $170.0m of extra debt at a 25% (0.25) tax rate is worth roughly $42.5m in present value under a perpetual-debt assumption. Everything else is redistribution and timing. Contrast that with the three real levers — EBITDA growth, multiple expansion and debt paydown — decomposed in the value creation bridge case. A recap does not add a fourth lever; it partially reverses the deleveraging one.

"When would you advise against it?"

When it would push leverage above entry levels; when EBITDA growth came from non-recurring items; when the business is cyclical and near a peak; when the company needs balance sheet room for bolt-ons; and shortly before a sale, where strategic buyers read a recap as loss of confidence. The screening discipline behind that judgement is the same as in the LBO target screening case.

Common Mistakes That Cost Candidates the Round

Claiming enterprise value increases. It does not. Saying MoM improves alongside IRR — it falls, from 2.50x to 2.41x. Applying the new pricing only to the incremental debt rather than the whole facility. Modelling exit debt without the interest drag on the sweep. Summing the dividend and exit proceeds into a single Year 5 figure before computing IRR, which erases the very effect being tested. And treating a higher IRR as automatically better, when limited partners fund capital calls and receive distributions in dollars, not in percentages.

What a Strong Answer Sounds Like

Compressed to thirty seconds: "Leverage has fallen from 5.0x to 2.8x through $120.0m of debt paydown and 25% EBITDA growth. Re-levering to 4.5x supports a $450.0m facility, funding a $161.0m dividend after $9.0m of fees. Coverage falls from 5.10x to 2.78x, still inside a 2.0x covenant with roughly 30% of EBITDA headroom. At exit, MoM falls from 2.50x to 2.41x because of fees and interest drag, but IRR rises from 20.1% to 21.5% because $161.0m arrives two years early — and half the equity cheque is de-risked. I'd recommend it, subject to the restricted payments basket and confirmation that the deleveraging came from recurring free cash flow rather than working capital timing."

That answer covers mechanics, a sanity check, both metrics, the trade-off, and a caveated recommendation. It is the shape interviewers are listening for.

Practise It End to End

Work the full transaction yourself in the dividend recapitalization case, which gives you the input table and asks for leverage, debt quantum, coverage, exit equity and returns under both scenarios — with model answers and follow-ups on multiple compression, restricted payments baskets, and whether any of it creates value. For the adjacent topics interviewers pair with it, the management equity ratchet case covers what happens to management's stake when the sponsor takes cash out early.