No. Run the same deal at four entry leverage levels and organic operating improvement contributes 59.85 million at every one of them — identical at 3.5 times and at 6.5 times, because it is a property of the business rather than of the balance sheet. Its share of the value created moves the opposite way from the belief: from 39.7 per cent at 3.5 times to 44.1 per cent at 6.5 times. More debt means more interest, less free cash flow, and a smaller deleveraging bucket.
The same deal, run at four levels of entry leverage
The worked case is a home healthcare staffing platform. It enters at 14.0 million of EBITDA on a 9.5 times multiple — an enterprise value of 133.0 million. Over a five-year hold EBITDA reaches 24.5 million: 6.3 million of organic operating improvement, 3.0 million bought through add-on acquisitions, and 1.2 million of market tailwind that would have arrived whatever anyone did. Debt carries 8.5 per cent, capital expenditure runs at a quarter of EBITDA, cash tax is 25 per cent, and every dollar of free cash flow sweeps against the debt. Exit is at 10.2 times, an enterprise value of 249.9 million.
Only the entry leverage changes between the four runs below. The operating plan, the exit multiple and the EBITDA path are identical in every one, so any difference in the shares is caused by the capital structure and nothing else.
Entry leverage
Equity invested
Equity at exit
Money multiple
Internal rate of return
Deleveraging
Organic share
3.5
84.0
234.8
2.80
22.8
33.90
39.7
4.5
70.0
215.7
3.08
25.3
28.83
41.1
5.5
56.0
196.7
3.51
28.6
23.76
42.5
6.5
42.0
177.6
4.23
33.4
18.69
44.1
Entry leverage in times EBITDA. Equity and deleveraging in millions. Internal rate of return and organic share in per cent. Organic operating improvement contributes 59.85 million at every level.
Why the operating share rises rather than falls
Leverage does not add a bucket to the bridge. It shrinks one. More debt means more interest, less free cash flow, and therefore less debt retired over the hold: deleveraging falls from 33.90 million at 3.5 times to 18.69 million at 6.5 times. Organic operating improvement does not move at all. It contributes 59.85 million at every level tested, because it is a property of the business rather than of the balance sheet.
The belief runs backwards. Heavy leverage is usually described as the thing that lets the capital structure do the work and makes operating improvement matter less. The arithmetic says the opposite: the operating share of value created rises from 39.7 per cent at 3.5 times entry leverage to 44.1 per cent at 6.5 times, and the only reason it rises is that debt service has eaten the one bucket no operating partner ever filled.
What leverage does change is the equity base. Equity invested falls from 84.0 million to 42.0 million across the four runs, the money multiple rises from 2.80 times to 4.23 times, and the internal rate of return rises from 22.8 per cent to 33.4 per cent. The same operating work, measured against a smaller cheque, looks better. It is not worth more.
The two effects are easy to conflate at a board table. A deal levered at 6.5 times returns 4.23 times money against 2.80 times at 3.5 times, and the temptation is to read that gap as evidence that the structure created value. It did not. The exit EBITDA and the exit multiple are the same in all four runs. What changed is how much equity went in at entry and how much of the enterprise still belonged to the lender at the end.
The bridge those shares come from
At 4.5 times entry leverage the equity value rose 145.73 million over the hold, and it decomposes with no residual into six pieces.
Driver
Value created
Share
Organic EBITDA growth at the entry multiple
59.85
41.1
Acquired EBITDA at the entry multiple, gross
28.50
19.6
Deleveraging
28.83
19.8
Market-driven EBITDA at the entry multiple
11.40
7.8
Multiple expansion on entry EBITDA
9.80
6.7
Cross-term, growth × expansion
7.35
5.0
Equity value created
145.73
—
Millions and per cent, at 4.5 times entry leverage. The residual is zero.
Read the shape rather than the numbers. The operating work accounts for 41.1 per cent of the value created. Deleveraging, which no operating partner performs, accounts for 19.8 per cent, almost as much. And 14.5 per cent came from the market and the multiple, which is to say from nothing anyone in the firm did.
The acquired line is the one to distrust. The add-ons cost 12.00 million of cash, and that cash came out of free cash flow that would otherwise have paid down debt, which is why the deleveraging bucket is 28.83 million rather than roughly 41. Net of what was paid, the acquisitions contributed 16.50 million, not 28.50. The gross figure overstates the buy-and-build programme by 73 per cent, and the gap between 19.6 per cent of value created and 11.3 per cent is something a buyer’s diligence team will find in an afternoon.
What to do with it
One sentence is worth carrying into a compensation discussion. Leverage does not change what the operating work is worth; it changes the size of the equity base that work is measured against, which changes the multiple of money and changes nothing about the value created. An operating partner whose contribution is argued down because the structure did the heavy lifting can put the 59.85 million on the table and show that it is identical at 3.5 times and at 6.5 times.
Two practices follow. Build the bridge incrementally through the hold rather than reconstructing it once a sale process has begun, because the precise timing of a price increase and the exact synergies realised from an add-on are far easier to document in real time than to recover afterwards. And show the cross-term as its own line: 7.35 million here, 5.0 per cent of value created, and assignable to growth, to the multiple, or split in proportion. The multiple bucket swings 75 per cent depending on which convention is chosen. A bridge that discloses the joint term is more credible than one that has quietly absorbed it, and the credibility is worth more than the 7.35.
The workbooks behind this article
Every figure above is a live formula in the free companion files for
The Private Equity Operating Partner. Each workbook ends with a Checks sheet
setting the printed figure beside the computed one. No account and no email address.
At what wealth does a family office pay?A five-person office costs the same $2,442,000 at $100m as at $2bn. Against a tiered multi-family schedule the two curves cross exactly once.
Does an undrawn revolver count as liquidity?67.4567 per cent of the headroom, and it leaves at a fall in annual revenue of 8.4127 per cent — not the 13.3333 per cent the board deck implies.
Does supply chain finance count as debt?66,049,315 released, and leverage of 2.7622× or 3.1362× depending on which balance the test is asked of — the second is a breach at today's EBITDA.
Does the fulcrum move with enterprise value?A worked capital structure at three enterprise values. The break migrates from the first lien to the subordinated notes without a single document changing.
How many companies does a reserve pool defend?Holding pro rata to the Series D costs $14.76m per company. A $40m reserve defends 2.71 of forty — and 61 per cent of the cost is the last round.
How much room a 1.15x downside actually leaves79 basis points of margin. The leverage covenant fails first, five basis points before the coverage covenant the chapter reports on, and 4.6 per cent of EBITDA is the whole cushion.
How the GP catch-up is actually solvedMost write-ups state the catch-up formula then hardcode the answer. Set it as a solve and it moves on its own when the carry rate does.
How do you set a minimum cash balance?Three components, 124,596,281 in total — and the double count that turns a margin of 27,403,719 into an apparent shortfall of -3,988,281.
Is a 2/10 net 60 discount worth taking?An annualised 14.8980 per cent against a revolver at 4.50 per cent — worth 5,471,890 a year, and 0.3132 turns of reported leverage.
Should corporate debt be fixed or floating?78.1818 per cent of gross debt fixed, and a net floating exposure after cash of -608,000.00 — the proportion, not the instrument.
Six ways to state the same fund's return7.12 per cent, 18.04 per cent, or 1.323 times the public market — one fund, one set of flows. The eleven-point gap is the valuation, and it is not cash.
The IRR at which a closed-ended fund merely tiesA drawdown fund advertising 13.25 per cent ties an evergreen netting 8.64. On committed rather than called capital, 78.7 per cent of the edge vanishes.
The month a remediation trigger has to be armed byMonth 8, on a one-year window and a 14-week hiring lead time. The date is 12W − L/4.33 and holds for any portfolio size — the book only changes the euros.
Two routes to the same NAVFive findings in one quarter-end close, and not one of them was a modelling error. Every one was a control that did not exist.
What a CBAM certificate buffer costs to holdCarry and protection are both linear in the buffer, so the break-even probability is identical at 5 per cent and at 30 — and 2027 costs exactly twice 2026.
What a clawback actually collateralises24 million recovers 13.20 net of tax and 7.20 is escrowed. The rule is e ≥ 1 − t, and every euro won on the tax clause lands uncollateralised.
What a co-investment programme actually saves37 basis points, and a 22.8 per cent total-loss rate erases it. At the usual per-deal cap a single failure is 37 per cent of the annual cohort.
What a diligence exercise actually recoversEighteen basis points is only the part that reaches the yield. Three of the four instruments never do, and the exercise is worth thirty-one.
What a follow-on reserve is actually worth0.019 turns under plain dilution, 0.285 under pay-to-play. The optimum is a property of the shareholders’ agreement, not of the portfolio.
What a lease mark-to-market is actually worth5,788,000 becomes 807,365 once the over-market stream, the expiry dates and the cost of re-letting are priced — and nothing at all below a 43.7 per cent renewal rate.
What a minimum payment actually does£81.53 leaves the account and £20.46 reaches the debt. On minimums alone the set clears in 258 months and repays 1.78 times what was borrowed.
What a month of delay costs in an enforcement463,000 euros of present value a month. No single error about enforcement, and no pair of errors, moves the indifference point from 58.7 cents to the 72 on the table.
What a pro rata cheque actually costsDefending costs 1.25 times the initial cheque across two rounds, not more in each — and below a 521 exit the follow-on dollars come back worth less than they cost.
What a subscription line does to the IRR20 per cent becomes 38.41 on the same asset while the multiple falls. Two dollars of interest buys 18.4 points, and the longer the line runs the cheaper each point gets.
What one point of fees actually costsOne point on the annual charge turns 738,846 into 567,961 over forty years — 23 per cent of the pot, and 2.43 of wealth lost per 1 of fee.
When the promote stops clearingCarried interest is not proportional to performance near the hurdle. It is a step function, and $2m of headroom is what stands between a promote and none.
Why a secondaries bid-ask gap has no zoneThe seller’s floor and the buyer’s ceiling are one formula at two rates. At equal required returns the zone is exactly zero — here it is 11.02 points apart.
Why refining a due diligence rubric makes it weakerThree of twelve managers carry a terminal flaw and the average approves all three. Splitting eight domains into sixteen makes it easier to hide, not harder.