Step 1: Leverage at Entry and at the Recapitalization Date
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
| Metric | Entry (Year 0) | End of Year 3 |
| LTM EBITDA | $80.0m | $100.0m |
| Total debt | $400.0m | $280.0m |
| Leverage | 5.0x | 2.8x |
Leverage expresses debt as a multiple of annual cash earnings, and it is the single number lenders and sponsors use to describe how aggressively a buyout is financed. Two separate forces pushed it down from 5.0x to 2.8x here: the numerator fell as free cash flow swept $120.0m of debt off the balance sheet, and the denominator rose as EBITDA grew from $80.0m to $100.0m. That gap between the 2.8x the company actually carries and the roughly 4.5x–5.0x the credit market would still lend against is the unused debt capacity that makes a dividend recapitalization possible at all.
Step 2: Recapitalization Debt Quantum and Dividend to the Sponsor
New Debt = Target Leverage x LTM EBITDA
New Debt = 4.5 x $100.0m = $450.0m
Incremental Debt Raised = New Debt - Existing Debt
Incremental Debt Raised = $450.0m - $280.0m = $170.0m
Financing Fees = 2.0% (0.02) x $450.0m = $9.0m
Dividend to Sponsor = $170.0m - $9.0m = $161.0m
A dividend recapitalization raises new debt against a portfolio company and pushes the proceeds out to the equity holders as a dividend, rather than using them to buy anything. Note what has and has not changed: the company still owns exactly the same assets and still generates the same $100.0m of EBITDA, so enterprise value is untouched. All that changed is the split of that enterprise value between lenders and the sponsor. The sponsor has converted $161.0m of illiquid, at-risk equity into cash on the fund's books more than two years before the exit — and because the fees are underwritten out of the new facility, the sponsor never writes a cheque.
Step 3: Pro Forma Interest Coverage
Interest Expense = Total Debt x Cost of Debt
Pre-recapitalization: $280.0m x 7.0% (0.07) = $19.6m
Interest Coverage = $100.0m / $19.6m = 5.10x
Post-recapitalization: $450.0m x 8.0% (0.08) = $36.0m
Interest Coverage = $100.0m / $36.0m = 2.78x
| Metric | Pre-Recapitalization | Post-Recapitalization |
| Total debt | $280.0m | $450.0m |
| Cost of debt | 7.0% (0.07) | 8.0% (0.08) |
| Cash interest expense | $19.6m | $36.0m |
| Leverage | 2.8x | 4.5x |
| Interest coverage | 5.10x | 2.78x |
Interest coverage asks how many times over the company's operating cash earnings can pay its annual interest bill, and it is the covenant that actually bites in most leveraged credit agreements — typically set at a floor somewhere around 2.0x. At 2.78x the company still clears that floor, but the cushion has shrunk from comfortable to workmanlike: a 30% EBITDA decline would take coverage to roughly 1.95x and trip the covenant. Note also that the cost of debt rose from 7.0% to 8.0%. Lenders do not simply extend the old pricing onto a larger, riskier facility; the whole package is repriced, so the sponsor pays more on the pre-existing $280.0m as well, not only on the incremental $170.0m.
Step 4: Exit Equity Value With and Without the Recapitalization
Exit Enterprise Value = Exit EBITDA x Exit Multiple
Exit Enterprise Value = $110.0m x 9.0 = $990.0m (identical in both scenarios)
With the recapitalization:
Exit Debt = $450.0m - $70.0m = $380.0m
Exit Equity Value = $990.0m - $380.0m = $610.0m
Without the recapitalization:
Exit Debt = $280.0m - $90.0m = $190.0m
Exit Equity Value = $990.0m - $190.0m = $800.0m
| Metric | With Recapitalization | Without Recapitalization |
| Exit enterprise value | $990.0m | $990.0m |
| Debt at recapitalization date | $450.0m | $280.0m |
| Free cash flow swept, Years 4–5 | $70.0m | $90.0m |
| Debt at exit | $380.0m | $190.0m |
| Exit equity value | $610.0m | $800.0m |
Exit equity value is what the sponsor actually walks away with after the lenders are repaid in full, and it is the only line in an LBO that ultimately determines the fund's return. Two effects compound against the recapitalization scenario here. The obvious one is the $170.0m of extra principal outstanding. The second is easy to miss: cumulative sweep falls from $90.0m to $70.0m, because the additional $16.4m of annual cash interest ($36.0m versus $19.6m) is cash that no longer reaches the debt paydown line. That $20.0m gap over two years is the cost of the money the sponsor took out early, and it is exactly the figure a good interviewer probes for.
Step 5: Sponsor Returns Under Both Scenarios
Without the recapitalization, the sponsor has a single $320.0m outflow at Year 0 and a single $800.0m inflow at Year 5:
MoM = $800.0m / $320.0m = 2.50x
IRR = 2.50^(1/5) - 1 = 1.201 - 1 = 20.1%
With the recapitalization, the sponsor has an intermediate cash flow, so the return must be solved rather than annualized directly:
MoM = ($161.0m + $610.0m) / $320.0m = $771.0m / $320.0m = 2.41x
Solving $320.0m = $161.0m / (1 + r)^3 + $610.0m / (1 + r)^5 gives r = 21.5%
| Sponsor Cash Flow | With Recapitalization | Without Recapitalization |
| Year 0 (equity invested) | ($320.0m) | ($320.0m) |
| Year 3 (dividend) | $161.0m | — |
| Year 5 (exit proceeds) | $610.0m | $800.0m |
| Total cash returned | $771.0m | $800.0m |
| MoM | 2.41x | 2.50x |
| IRR | 21.5% | 20.1% |
MoM (multiple of money) measures how many dollars come back per dollar invested and is blind to when they come back; IRR is the annualized rate that discounts every cash flow back to zero and is intensely sensitive to timing. The recapitalization moves the two metrics in opposite directions, and understanding why is the point of the whole case: total dollars returned fall by $29.0m because of fees and incremental interest, so MoM drops from 2.50x to 2.41x — but $161.0m arrives two years earlier, and that timing advantage more than offsets the smaller total, lifting IRR from 20.1% to 21.5%. There is a second, softer benefit that no metric captures: once $161.0m is banked, half of the sponsor's original $320.0m cheque is already recovered, so the remaining exposure to a bad exit market is materially de-risked.
Final Results
- Dividend to the sponsor at the end of Year 3: $161.0m
- Leverage: 2.8x pre-recapitalization, re-levered to 4.5x
- Interest coverage: 5.10x pre-recapitalization, 2.78x post-recapitalization
- Sponsor MoM: 2.50x without the recapitalization vs. 2.41x with it
- Sponsor IRR: 20.1% without the recapitalization vs. 21.5% with it
This trade-off feeds directly into how an investment committee decides between recapitalizing and holding: IRR drives a fund's headline track record and the timing of carried interest, while MoM drives the absolute dollars distributed to limited partners, and the two rarely point the same way. The same decomposition also underpins a value creation bridge, where debt paydown, EBITDA growth and multiple expansion are quantified separately — a recapitalization simply reverses part of the deleveraging lever in exchange for earlier cash.
Would you like to explore how the answer changes if the exit multiple compresses to 8.0x, or if the credit agreement's restricted payments basket caps the dividend below the level leverage capacity alone would allow?
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