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MBA LBO Model Concept Card Template

Full LBO model: sources and uses, term loan, notes, revolver, sweep, circularity, interest cap, PIK, credit statistics, sensitivities, maximum price, walk from paper LBO

MBA und Business SchoolVollständigLBO modelling practice; Jensen 1986; Kaplan and Stein 1993; Axelson et al. 2009 and 2013; IRS FS-2026-14lbomodelcardmath

Anleitung: Use it when a deal has passed the paper LBO screen or you prepare for a private equity modelling test. Rebuild Worked example A from the inputs first, then work the walk from the paper LBO to see what each modelling choice costs. The main pitfall is sweeping cash before amortisation, minimum cash and fees are covered.

Vorschau

LBO Model Concept Card: [Your name, elective or deal, and date]

An elective-level concept card for the full leveraged buyout (LBO) model: the spreadsheet a private equity deal team builds after the paper LBO says a deal is worth a closer look. It builds on mba/mba-paper-lbo (sources and uses, debt paydown, MOIC, IRR and the value bridge) and does not re-teach it. This card adds what the paper version leaves out: several debt tranches with different terms, mandatory amortisation and a cash sweep, a revolving credit facility, minimum cash, working capital, financing fees, management incentives, the interest circularity, limits on interest deductibility, payment-in-kind (PIK) debt, credit statistics, downside cases and the maximum price. It is for second-year MBA students in a private equity or advanced corporate finance elective and for candidates preparing for a modelling test. Worked example A rebuilds the Northfield Outdoor Co. deal from the paper LBO card as a full model and reconciles the two answers, Worked example B is a half-solved downside case, and Exercise C asks for the maximum price and the effect of PIK notes. Source basis: Jensen (1986), Kaplan and Stein (1993), Kaplan and Stromberg (2009), Axelson, Stromberg and Weisbach (2009), Axelson, Jenkinson, Stromberg and Weisbach (2013), written up in original words with fictional numbers. Replace every [bracketed] value and every row marked Example. This is a learning aid, not investment, credit, legal or tax advice.

Document control

FieldValue
Learner[Your name]
Elective or deal[Private equity elective, modelling test, deal name]
Model file and version[File name, v0.1]
Base case dateYYYY-MM-DD
Reviewed by[Learning team member, teaching assistant or deal-team mentor]
Version[0.1]
Last updatedYYYY-MM-DD

Contents

When to use it

Use a full LBO model when:

  • a deal has passed the paper LBO screen and the team must set a bid, so a few points of IRR now change the decision;
  • the financing has more than one tranche (a term loan, notes, a revolver, perhaps PIK debt or preferred equity) and the tranches repay in a different order and at different rates;
  • lenders need credit statistics (leverage and interest cover by year) and a downside case to commit to the financing, and the deal team needs to know whether a covenant could be tested;
  • working capital, capital expenditure, cash taxes or fees are large enough that the paper shortcuts mislead;
  • you must answer the investment committee's standard questions: what is the maximum price, which assumption breaks the deal, and how much of the return depends on the exit multiple.

Do not build a full model to answer an interview question that the paper LBO answers, and do not let the precision of a model hide the fact that its two most important inputs (the operating plan and the exit multiple) are judgements.

The idea in plain language

The paper LBO treats debt as one block that absorbs all free cash flow. Real buyouts are financed with a stack of claims, each with its own price, its own rank and its own rules for repayment. A senior term loan is cheaper because it is repaid first and is secured; it usually amortises by a small fixed amount each year and must also be repaid from a share of excess cash (the sweep). Unsecured or subordinated notes are more expensive and are usually repaid only at maturity or at exit. A revolving credit facility sits at the top of the stack as a liquidity line: it is often undrawn at closing, costs a commitment fee while undrawn, and is drawn when cash runs short. Some deals add PIK debt, whose interest is not paid in cash but added to the principal, which helps cash flow today and costs more at exit.

The model follows each claim through time. Each year, the operating model produces EBITDA; the company pays cash interest, fees, tax, capital expenditure and the investment in working capital; what is left is the free cash flow available to repay debt. The model pays the mandatory amortisation first, keeps a minimum cash balance, repays any revolver drawings, and sweeps the rest to the term loan. At exit, the enterprise value is shared by the claims in order of rank, and the equity gets what is left after management's incentive plan takes its share of the gain.

Two features make the model harder than its paper cousin. The first is circularity: if interest is charged on the average balance of the year, interest depends on how much debt is repaid, which depends on interest. The second is that the tax line depends on how much interest is deductible, which many tax systems now cap. Both are small effects in a good deal and large ones in a marginal deal.

Why use so much debt at all? Jensen (1986) argued that debt commits managers to pay out free cash flow instead of investing it in low-return projects. Kaplan and Stein (1993) documented how buyout prices and leverage rose in the late 1980s and how deals with aggressive structures defaulted more often. Axelson, Stromberg and Weisbach (2009) explain why buyout funds finance deals with debt raised deal by deal, and Axelson, Jenkinson, Stromberg and Weisbach (2013) find that buyout leverage tracks credit market conditions more than company characteristics, and that higher leverage goes with higher prices and lower fund returns. Kaplan and Stromberg (2009) summarise the financial, governance and operational engineering that private equity applies. The model is the tool that tests whether a particular structure is one the company can carry.

Formulas and notation

Free cash flow available to repay debt in year tt (the paper LBO's FCFtFCF_t, now with fees, a tax line of its own and working capital; it is after interest, so it is not the project-finance CFADS, which is measured before debt service):

FCFt=EBITDAt−Itcash−Ft−Tt−CapExt−ΔNWCtFCF_t = EBITDA_t - I^{cash}_t - F_t - T_t - CapEx_t - \Delta NWC_t

Cash tax, with deductible interest ItdedI^{ded}_t:

Tt=τ⋅max⁡(0,  EBITDAt−DAt−Itded)T_t = \tau \cdot \max\left(0,\; EBITDA_t - DA_t - I^{ded}_t\right)

Mandatory amortisation, sweep and the term loan balance (minimum cash CminC_{min}, sweep share ss, revolver repayment RtR_t):

At=min⁡(a⋅TL0,  TLt−1)St=min⁡(s⋅max⁡(0,  Casht−1+FCFt−At−Cmin−Rt),  TLt−1−At)TLt=TLt−1−At−StA_t = \min(a \cdot TL_0,\; TL_{t-1}) \qquad S_t = \min\left(s \cdot \max(0,\; Cash_{t-1} + FCF_t - A_t - C_{min} - R_t),\; TL_{t-1} - A_t\right) \qquad TL_t = TL_{t-1} - A_t - S_t

Interest on opening balances (no circularity) or on average balances (circular):

It=r⋅Dt−1orIt=r⋅Dt−1+Dt2I_t = r \cdot D_{t-1} \qquad \text{or} \qquad I_t = r \cdot \frac{D_{t-1} + D_t}{2}

PIK notes accrue instead of paying cash interest:

PIKt=PIKt−1⋅(1+rPIK)PIK_t = PIK_{t-1} \cdot (1 + r_{PIK})

Interest limitation with a carryforward CFCF of disallowed interest (cap share κ\kappa of tax EBITDA):

Itded=min⁡(It+CFt−1,  κ⋅EBITDAt)CFt=It+CFt−1−ItdedI^{ded}_t = \min\left(I_t + CF_{t-1},\; \kappa \cdot EBITDA_t\right) \qquad CF_t = I_t + CF_{t-1} - I^{ded}_t

Exit, management incentive plan (share φ\varphi of the equity gain) and returns:

EN=mexit⋅EBITDAN−(TLN+NN+PIKN+RCFN−CashN)MIP=φ⋅max⁡(0,  EN−E0)E_N = m_{exit} \cdot EBITDA_N - (TL_N + N_N + PIK_N + RCF_N - Cash_N) \qquad MIP = \varphi \cdot \max(0,\; E_N - E_0)
MOIC=EN−MIPE0IRR=MOIC1/N−1(no interim flows)MOIC = \frac{E_N - MIP}{E_0} \qquad IRR = MOIC^{1/N} - 1 \quad \text{(no interim flows)}

Credit statistics lenders read each year:

Total leveraget=TLt+Nt+PIKt+RCFtEBITDAtInterest covert=EBITDAtIt+Ft\text{Total leverage}_t = \frac{TL_t + N_t + PIK_t + RCF_t}{EBITDA_t} \qquad \text{Interest cover}_t = \frac{EBITDA_t}{I_t + F_t}
SymbolMeaningNote
EBITDAtEBITDA_tEarnings before interest, tax, depreciation and amortisationFrom the operating model
ItcashI^{cash}_t, ItI_tCash interest and total interestPIK interest is in ItI_t but not in ItcashI^{cash}_t
FtF_tRevolver commitment feeFee rate times the undrawn commitment
TtT_t, τ\tauCash tax and tax rateTax base after deductible interest
DAtDA_t, CapExtCapEx_t, ΔNWCt\Delta NWC_tDepreciation and amortisation, capital expenditure, increase in net working capitalΔNWC\Delta NWC is negative when working capital is released
TLtTL_t, aaTerm loan balance and mandatory amortisation rateaa applies to the original balance TL0TL_0
FCFtFCF_tFree cash flow available to repay debtAfter cash interest, fees, tax, capex and working capital
StS_t, ssCash sweep amount and sweep shareCredit agreements often step the share down as leverage falls
RtR_tRevolver repaymentZero in Worked example A, where the revolver is never drawn
NtN_t, PIKtPIK_t, RCFtRCF_tNotes, PIK notes, revolver drawingsNotes and PIK usually repaid at exit
CminC_{min}, CashtCash_tMinimum and actual cashMinimum cash is funded at closing
κ\kappa, CFtCF_tInterest cap share and carryforward of disallowed interestRules differ by jurisdiction
φ\varphi, MIPMIPManagement incentive share and its value at exitPaid out of the sponsor's exit equity
E0E_0, ENE_N, mexitm_{exit}, NNSponsor equity at entry, equity at exit, exit multiple, yearsAs in mba/mba-paper-lbo

Excel: build each formula once in the year 1 column with named inputs, then copy across. With named cells, the sweep is =MIN(Sweep_share*MAX(0,Cash_open+FCF-Amort-Min_cash-RCF_repay),TL_open-Amort), the tax is =Tax_rate*MAX(0,EBITDA-DA-Int_deductible), and the circuit-breaker version of interest is =IF(Circ_switch=1,TL_rate*AVERAGE(TL_open,TL_close),TL_rate*TL_open). Average-balance interest needs iterative calculation (File, Options, Formulas, Enable iterative calculation); the switch lets you break the loop when the workbook shows errors.

Assumptions and limits

  • Interest on opening balances in the base case. It avoids the circularity and slightly understates the benefit of early repayment; Worked example A shows the size of the difference.
  • Floating rates as a fixed all-in rate. Term loans in most markets pay a floating benchmark plus a spread. For US dollar loans the benchmark is now SOFR or Term SOFR: according to the Alternative Reference Rates Committee (ARRC), all USD LIBOR panel settings ceased on 30 June 2023 (as of October 2026, see https://www.newyorkfed.org/arrc/sofr-transition); sterling and euro loans use SONIA and EURIBOR or €STR based rates. This card uses a fixed all-in rate to keep the arithmetic visible. In a real model, project the benchmark from the forward curve, add the spread and any floor, and show a rate sensitivity or the effect of an interest rate hedge.
  • Cash sweep at 100%. Many credit agreements sweep 50% of excess cash flow, stepping down as leverage falls, and allow voluntary prepayment. A lower sweep leaves cash on the balance sheet; the exit equity counts it, but the return is lower because cash earns less than the debt costs.
  • Interest fully deductible in the base case. As of October 2026 the IRS states that the US limit on business interest (section 163(j)) is business interest income plus 30% of adjusted taxable income plus floor plan financing interest, that depreciation, amortisation and depletion are again added back to adjusted taxable income for tax years beginning after 31 December 2024, and that disallowed interest carries forward (IRS FS-2026-14, https://www.irs.gov/newsroom/questions-and-answers-about-the-limitation-on-the-deduction-for-business-interest-expense). In the EU, Article 4 of Council Directive (EU) 2016/1164 sets a limit of 30% of tax-adjusted EBITDA for exceeding borrowing costs; member states may set a lower percentage and may allow full deduction up to EUR 3 million (an optional safe harbour), among other national options, so the rules differ by member state (http://data.europa.eu/eli/dir/2016/1164/oj). Worked example A models a stylised 30% of EBITDA cap with an unlimited carryforward. Check the current rules with a tax adviser before you rely on them.
  • Financing fee amortisation is ignored for tax and book income. In practice debt issuance costs reduce the carrying amount of the debt and are amortised; their tax treatment depends on the jurisdiction.
  • Notes repaid at par at exit. Notes often have call protection, so early repayment costs a premium (a call premium or a make-whole amount) that the exit waterfall must include.
  • Management incentive plan modelled as 10% of the equity gain above the sponsor's entry equity. Real plans use options, ratchets or "sweet equity" with different strike prices and vesting; treat the share as an illustrative assumption to state, not a benchmark.
  • No dividends, no add-on acquisitions, no refinancing. Each would need its own lines, and each changes both the credit statistics and the timing of equity cash flows.

How deal teams use the model

The deal team, the lenders and the investment committee read the same model for different reasons.

ReaderQuestionOutputs they look at
Deal teamWhat can we bid and what must go right?Maximum price at the target IRR and MOIC, value bridge, sensitivity tables
Investment committeeIs the return worth the risk, and what breaks the deal?Base, upside and downside cases, exit multiple dependence, equity cheque and fund concentration
Arranging banks and credit fundsCan the company service and repay the debt?Leverage and interest cover by year, minimum liquidity, covenant headroom, downside case
ManagementWhat does the plan require of us, and what do we earn?Operating plan, capital expenditure, management incentive value under each case
Rating agencies and later buyersHow quickly will the company deleverage?Free cash flow to debt, leverage path

Lenders usually test the sponsor's downside case and then build their own. The sponsor's model is usually linked to the quality of earnings work (finance/quality-of-earnings-scope) and to the due diligence findings (finance/due-diligence-request-list), which adjust the starting EBITDA and the working capital target. The output goes into the investment memo (finance/private-equity-investment-memo) and the committee paper (finance/investment-committee-memo).

Broadly syndicated term loans are often "covenant-lite": they have no maintenance covenant, and the only financial covenant sits in the revolver and "springs" into force when drawings exceed a threshold set in the credit agreement. Private credit loans more often carry a maintenance covenant tested every quarter. Either way, the model must show the headroom: how far EBITDA can fall before a covenant is breached (finance/covenant-compliance-certificate shows the reporting side).

The model build step by step

Build the workbook in the same order every time: inputs and cases, sources and uses, operating model, debt schedule and interest, tax, cash sweep and balances, exit waterfall and returns, then the outputs that readers use (credit statistics, sensitivity tables, value bridge). The only loop is between interest and debt repayment, and it is controlled by a switch.

Worked example A (fully solved): Northfield Outdoor Co. as a full model

Example inputs (USD m): last-twelve-month revenue 800 and EBITDA 100 (margin 12.5%); revenue growth 5% a year with a constant margin, so EBITDA follows the paper LBO path; depreciation and amortisation 15 and capital expenditure 15 a year; net working capital 10% of revenue; tax 25%; entry and exit at 8.0x; holding period 5 years.

Financing: term loan B (TLB) 3.5x EBITDA at an all-in 7.5%, 1% a year mandatory amortisation, 100% cash sweep; senior unsecured notes 1.5x EBITDA at 9.0%, repaid at exit; revolver of 75 undrawn at closing with a 0.375% commitment fee (7.0% if drawn); transaction fees 2% of enterprise value; financing fees 2% of funded debt; minimum cash 20 funded at closing; management incentive plan 10% of the equity gain.

Step 1: sources and uses (USD m)

UsesAmountSourcesAmount
Purchase enterprise value (8.0 x 100)800.00Revolver (75 commitment)0.00
Transaction fees (2% x 800)16.00Term loan B (3.5 x 100)350.00
Financing fees (2% x 500)10.00Senior notes (1.5 x 100)150.00
Cash to balance sheet20.00Sponsor equity (plug)346.00
Total uses846.00Total sources846.00

Equity is 40.9% of sources (=346/846), against 38.7% in the paper LBO, because the financing fees and the minimum cash are funded with equity.

Step 2: operating model and free cash flow available to repay debt (USD m)

YearRevenueEBITDAIncrease in NWCTLB interestNotes interestCommitment feeCash taxFCF
1840.00105.004.0026.2513.500.2812.4933.48
2882.00110.254.2023.7413.500.2814.4339.10
3926.10115.764.4120.8113.500.2816.5445.22
4972.41121.554.6317.4213.500.2818.8451.88
51,021.03127.634.8613.5213.500.2821.3359.13

Year 1 in Excel: revenue =800*(1+5%); EBITDA =840*12.5%; increase in NWC =10%*(840-800); TLB interest =7.5%*350; notes interest =9%*150; commitment fee =0.375%*75; cash tax =25%*(105-15-26.25-13.5-0.28125) = 12.49; FCF =105-26.25-13.5-0.28125-12.49-15-4 = 33.48.

Step 3: debt schedule and credit statistics (USD m)

YearMandatory amortisationSweepClosing TLBNotesCashTotal leverageInterest cover
0350.00150.0020.005.00x
13.5029.98316.52150.0020.004.44x2.62x
23.5035.60277.43150.0020.003.88x2.94x
33.5041.72232.21150.0020.003.30x3.35x
43.5048.38180.32150.0020.002.72x3.90x
53.5055.63121.19150.0020.002.12x4.67x

Year 1: amortisation =1%*350; sweep =MIN(33.48-3.5,350-3.5) = 29.98; closing TLB =350-3.5-29.98 = 316.52; leverage =(316.52+150)/105 = 4.44x; interest cover =105/(26.25+13.5+0.28) = 2.62x. Total debt repaid over five years is 228.81 (=350-121.19), all of it from the term loan: the notes are untouched until exit.

Step 4: exit and returns (USD m)

ItemComputationResultExcel formula
Exit enterprise value8.0 x 127.631,021.03=8*100*1.05^5
Less TLB and notes, plus cash121.19 + 150.00 - 20.00251.19=121.19+150-20
Exit equity before incentives1,021.03 - 251.19769.83=1021.03-251.19
Gross MOIC and IRR769.83 / 346.002.22x, 17.3%=RRI(5,346,769.83)
Management incentive plan10% x (769.83 - 346.00)42.38=10%*MAX(0,769.83-346)
Sponsor exit proceeds769.83 - 42.38727.45=769.83-42.38
Sponsor MOIC727.45 / 346.002.10x=727.45/346
Sponsor IRR2.102^(1/5) - 116.0%=RRI(5,346,727.45)

Step 5: walk from the paper LBO to the full model

Each line adds one modelling choice to the line above, so the IRR change is the cost of that choice.

StepSponsor equitySponsor exit proceedsMOICIRR
Paper LBO (one tranche 5.0x at 8%, as in mba/mba-paper-lbo)316.00776.302.46x19.7%
Two tranches: TLB 3.5x at 7.5% with 1% amortisation, notes 1.5x at 9%316.00775.622.45x19.7%
Revolver commitment fee316.00774.442.45x19.6%
Working capital at 10% of revenue316.00749.832.37x18.9%
Financing fees and minimum cash funded by equity346.00769.832.22x17.3%
Management incentive plan (10% of the gain)346.00727.452.10x16.0%

The tranche mix barely matters here because the blended rate (7.95% at entry) is close to 8%. Working capital costs almost a point because growth ties up 22.10 of cash over five years. The larger cheque costs one and a half points: the minimum cash comes back at exit, but it earns nothing for five years, and the financing fees are gone. The incentive plan costs another 1.3 points. A candidate who quotes the paper answer of about 20% to an investment committee is almost four points too optimistic.

Step 6: three modelling choices tested

VariantSponsor exit proceedsMOICIRRWhat it shows
Base: interest on opening balances727.452.10x16.0%Reference
Interest on average balances (circular, iterated)734.042.12x16.2%Opening-balance interest overstates interest slightly when debt falls quickly
Interest deduction capped at 30% of EBITDA, carryforward allowed726.862.10x16.0%Disallowed interest of 8.53 in year 1 builds to a carryforward of 13.25 in year 3, then is used as interest falls

With the cap, year 1 deductible interest is =MIN(40.03,30%*105) = 31.50, so cash tax rises from 12.49 to 14.62. The carryforward is fully used by year 5, so the cap shifts tax payments in time rather than adding to them, and the IRR falls by only about 0.02 points. In a deal that deleverages slowly, or where the carryforward cannot be used before exit, the cost is permanent and much larger.

Step 7: sensitivity tables (sponsor MOIC and IRR after the incentive plan)

Entry multiple against exit multiple (debt fixed at 5.0x EBITDA, so equity absorbs the price change):

Entry \ exit multiple7.0x8.0x9.0x
7.0x (equity 244.00)2.47x / 19.8%2.94x / 24.1%3.41x / 27.8%
8.0x (equity 346.00)1.77x / 12.1%2.10x / 16.0%2.43x / 19.5%
9.0x (equity 448.00)1.39x / 6.8%1.65x / 10.5%1.90x / 13.7%

Total leverage against revenue growth (notes fixed at 1.5x, term loan varied):

Total leverage \ growth0% a year5% a year8% a year
4.0x1.40x / 6.9%1.93x / 14.0%2.29x / 18.0%
5.0x1.42x / 7.3%2.10x / 16.0%2.57x / 20.8%
6.0x1.47x / 8.0%2.42x / 19.3%3.07x / 25.2%

Read the tables as an investment committee would. At the base exit multiple, a turn of entry price moves the IRR by five and a half to eight points (10.5% at 9.0x, 24.1% at 7.0x); a turn of exit multiple is worth about three and a half to four. Leverage helps only when the business grows: at 0% growth, two extra turns of debt add about one point, because the extra interest absorbs the cash that would have repaid debt, while the downside gets worse. That is the pattern Axelson et al. (2013) warn about: cheap debt makes it easy to pay more, and paying more lowers returns.

Step 8: value bridge (USD m, equity before the incentive plan)

SourceComputationContribution
EBITDA growth(127.63 - 100) x 8.0221.03
Multiple expansion(8.0 - 8.0) x 127.630.00
Debt paydown500.00 - 271.19228.81
Fees paid at entry16.00 + 10.00-26.00
Equity gain769.83 - 346.00423.83

The minimum cash of 20 is in both the entry cheque and the exit equity, so it does not appear in the bridge. The judgement to state: this is still a cash-flow deal, with slightly more of the gain from deleveraging than from growth, and the 8.0x exit assumption carries the risk.

Worked example B (half solved): a downside case

Same deal as Worked example A. Year 1 is on plan (EBITDA 105.00). In year 2 a recession cuts revenue and EBITDA by 20% (EBITDA 84.00, revenue 672.00 at the same 12.5% margin); from year 3 both grow 5% a year again. The exit multiple falls to 7.0x.

Item, year 2ComputationResult
Increase in NWC=10%*(672-840)[ ]
Total interest and fee23.74 + 13.50 + 0.2837.52
Cash tax=25%*(84-15-37.52)[ ]
FCF84 - 37.24 - 0.28 - [tax] - 15 - [NWC][ ]
Closing TLB316.52 - 3.50 - [sweep][ ]
Total leverage[closing TLB + 150] / 84[ ]
Interest cover84 / 37.522.24x
Item, exitComputationResult
Year 5 EBITDA84 x 1.05^397.24
Closing TLB, year 5from the model184.93
Exit equity before incentives at 7.0x7.0 x 97.24 - 184.93 - 150 + 20[ ]
Sponsor MOIC and IRR after the incentive plan[ ]
Same downside with exit at 8.0x: MOIC and IRR1.30x, 5.5%

Questions to answer: why does FCF in year 2 rise even though EBITDA falls by 20%? Would a lender with a springing revolver covenant be worried in this case? What is the main lesson for the equity? [ ]

Exercise C (unsolved): maximum price and PIK notes

C1. Keep the base case of Worked example A with debt fixed at 5.0x EBITDA (so the extra price is all equity). The fund needs a 20% IRR after the incentive plan. What is the maximum entry multiple, the maximum enterprise value and the sponsor equity cheque at that price? Excel hint: Goal Seek the IRR cell to 20% by changing the entry multiple.

C2. Replace the 9.0% cash-pay senior notes with 150 of PIK notes at 11.0%, repaid with accrued interest at exit. Find the PIK balance at exit, the closing TLB in year 5, the sponsor MOIC and IRR, and the year 5 total leverage. Explain why the term loan falls faster but the equity return is lower.

C3. In one paragraph, say which of the base, downside and PIK variants you would present to the investment committee as the "lender case", and why.

Connections to other cards

Card or templateConnection
mba/mba-paper-lboThe mental-math version; its Worked example A is this card's base deal
mba/mba-private-equity-guideThe elective this card belongs to, with a buyout mini-case and teaching note
mba/mba-pe-fund-economics-cardHow the deal IRR becomes the fund's net IRR after fees and carried interest
mba/mba-pe-value-creation-cardHow to build and defend the operating plan that drives EBITDA growth
mba/mba-deal-structuring-cardEarn-outs, rollover equity, vendor notes and other structure choices
mba/mba-capital-structure-cardTax shields, distress costs and why leverage has limits (Modigliani and Miller)
mba/mba-dcf-valuation-cardIntrinsic value against the sponsor's return-based price
mba/mba-three-statements-card, mba/mba-cash-flow-statement-cardWhy FCF starts from EBITDA and subtracts working capital and capex
finance/credit-memo, finance/covenant-compliance-certificateThe lender's view of the same model
finance/private-equity-investment-memo, finance/investment-committee-memoWhere the outputs go

Common mistakes and misconceptions

  1. Sweeping cash that is not there. The sweep must come after mandatory amortisation, minimum cash and revolver repayment; otherwise the model repays debt with cash the company needs to operate.
  2. Applying the amortisation rate to the opening balance each year instead of to the original principal, which makes the mandatory payment shrink when it should stay fixed.
  3. Forgetting the minimum cash and financing fees in uses, so the equity cheque is too small and the IRR too high.
  4. Ignoring working capital in a growing business. In Worked example A it costs almost a point of IRR.
  5. Taxing EBITDA or using total instead of deductible interest when an interest cap applies, or forgetting the carryforward, which can turn a timing effect into an apparent permanent loss.
  6. Leaving the circularity unprotected. A circular model without a switch can fill with errors that never clear; always add a circuit breaker.
  7. Treating PIK interest as free. It saves cash today but compounds at a high rate and is repaid at exit before the equity.
  8. Reporting the gross IRR as the sponsor's return, before the management incentive plan, and then also quoting it as the fund's net return, which is lower again after fees and carried interest.
  9. Using the exit multiple as a plug. If the deal only works at an exit above entry, say so; do not hide it in a case labelled "base".
  10. Sensitising only one variable at a time. Downside cases come in combinations: lower EBITDA, a lower multiple and a higher rate tend to arrive together.
  11. Confusing covenant-lite with risk-free. No maintenance covenant means fewer early warnings for lenders, not that the company can carry more debt.
  12. Hard-coding numbers inside formulas in a model others must audit; every input belongs on the inputs sheet.

Self-test questions

  1. List, in order, the uses of cash from FCF in Worked example A's debt schedule.
  2. Why does equity rise from 316.00 in the paper LBO to 346.00 in the full model?
  3. Which single modelling choice in the walk from the paper LBO costs the most IRR, and why?
  4. In Worked example A, what is the revolver commitment fee each year, and why does it fall to zero in a year the revolver is fully drawn?
  5. Explain the interest circularity in two sentences and how a circuit breaker works.
  6. With a 30% of EBITDA cap, what is year 1 deductible interest in Worked example A, and why does the IRR barely move?
  7. Why can a PIK note raise the speed of term loan repayment but lower the equity return?
  8. What is a springing covenant, and why is the downside case still important in a covenant-lite deal?
  9. A sponsor receives 2.2x in four years with no interim flows. What is the IRR? Give the Excel formula.
  10. From the entry and exit sensitivity table, which is worth more: one turn lower entry price or one turn higher exit multiple? Why?
  11. Why does extra leverage add almost nothing to the IRR at 0% growth in the leverage table?
  12. What does the incentive plan cost the sponsor in Worked example A, in USD and in IRR points?

My notes and next steps

DateModel or exerciseTime (minutes)Errors foundNext step
Example: YYYY-MM-DDWorked example A from blank sheet75Swept cash before amortisationRebuild the debt block in under 20 minutes
[YYYY-MM-DD][ ][ ][ ][ ]

Sources and further reading

Primary works:

  • Jensen, M. C. (1986). Agency costs of free cash flow, corporate finance, and takeovers. American Economic Review, 76(2), 323-329.
  • Kaplan, S. N. and Stein, J. C. (1993). The evolution of buyout pricing and financial structure in the 1980s. The Quarterly Journal of Economics, 108(2), 313-357.
  • Kaplan, S. N. and Stromberg, P. (2009). Leveraged buyouts and private equity. Journal of Economic Perspectives, 23(1), 121-146.
  • Axelson, U., Stromberg, P. and Weisbach, M. S. (2009). Why are buyouts levered? The financial structure of private equity funds. The Journal of Finance, 64(4), 1549-1582.
  • Axelson, U., Jenkinson, T., Stromberg, P. and Weisbach, M. S. (2013). Borrow cheap, buy high? The determinants of leverage and pricing in buyouts. The Journal of Finance, 68(6), 2223-2267.
  • Gompers, P., Kaplan, S. N. and Mukharlyamov, V. (2016). What do private equity firms say they do? Journal of Financial Economics, 121(3), 449-476.

Official pages for dated facts (checked 2026-10-28):

Textbooks (further reading, by name only): Rosenbaum and Pearl, Investment Banking: Valuation, LBOs, M&A, and IPOs; Berk and DeMarzo, Corporate Finance; Koller, Goedhart and Wessels, Valuation.

Open resource: OpenStax, Principles of Finance (CC BY-NC-SA 4.0), https://openstax.org.

Answer key

Worked example B (year 2): increase in NWC -16.80 (working capital is released as revenue falls); cash tax 7.87; FCF 40.41 (=84-37.24-0.28-7.87-15-(-16.8)); sweep 36.91, closing TLB 276.11; total leverage 5.07x (=(276.11+150)/84). Exit at 7.0x: enterprise value 680.68, exit equity before incentives 365.75 (=680.68-184.93-150+20), incentive plan 1.98, sponsor proceeds 363.78, MOIC 1.05x, IRR 1.0% (=RRI(5,346,363.78)). FCF rises because the fall in revenue releases 16.80 of working capital, a one-off cushion that reverses when growth returns (year 3 FCF is 25.67). Leverage peaks at 5.07x, just above entry, and interest cover stays above 2.2x; the revolver is never drawn, so a springing covenant would not be tested, but a maintenance covenant set tightly against the base case could be. The lesson for the equity: the debt survives, the equity return almost disappears, because the same downside hits EBITDA and the multiple together.

Exercise C:

  • C1: maximum entry multiple 7.45x, enterprise value 745.20, sponsor equity 290.10, for an IRR of exactly 20.0% after the incentive plan.
  • C2: PIK balance at exit 252.76 (=150*1.11^5); closing TLB in year 5 36.12; exit equity before incentives 752.15, incentive plan 40.61, sponsor proceeds 711.53, MOIC 2.06x, IRR 15.5% (against 16.0% in the base); year 5 total leverage 2.26x (=(36.12+252.76)/127.63). The term loan falls faster because no cash goes to the notes, but the PIK compounds at 11%, above the 7.5% the sweep saves on the term loan, so the claim ahead of equity at exit is larger.
  • C3: present the downside of Worked example B, perhaps with the higher rate of C2, as the lender case: lenders care whether the company can service and refinance the debt when EBITDA and the multiple fall together, not about the base case IRR.

Self-test:

  1. Cash interest and fees and tax are already deducted in FCF; then mandatory amortisation (3.50), then keep minimum cash (20), then repay any revolver drawings, then sweep the rest to the term loan.
  2. Financing fees of 10.00 and minimum cash of 20.00 are funded with equity.
  3. Funding the financing fees and minimum cash, about 1.5 points (18.9% to 17.3%), because the cheque grows while the cash earns nothing; next is the incentive plan (1.3 points) and working capital (0.8 points).
  4. 0.375% x 75 = 0.28 a year (=0.375%*75); the fee is charged only on the undrawn commitment.
  5. Interest on average debt depends on the year's repayment, which depends on cash after interest. A circuit breaker is a switch that replaces average-balance interest with opening-balance interest, breaking the loop when needed.
  6. =MIN(40.03,30%*105) = 31.50; the disallowed 8.53 is carried forward and used in years 4 and 5 as interest falls, so the cap delays tax savings rather than removing them.
  7. PIK interest is not paid in cash, so more cash is swept to the term loan, but the PIK principal compounds at a rate above the term loan rate and is repaid ahead of equity at exit.
  8. A financial covenant, usually in the revolver, that applies only when drawings exceed a threshold. The downside still decides whether the company can pay interest, refinance and avoid drawing the revolver; the equity bears the loss first.
  9. =2.2^(1/4)-1 or =RRI(4,1,2.2), 21.8%.
  10. One turn lower entry price: it is worth about eight points of IRR (16.0% to 24.1%) because it cuts the equity cheque at once, while one turn higher exit multiple is worth about three and a half points (16.0% to 19.5%) and arrives only in year 5.
  11. Without growth, the extra interest consumes the cash that would otherwise repay debt, so the equity gains little from the smaller cheque while the risk of distress rises.
  12. 42.38 of exit proceeds; IRR falls from 17.3% to 16.0%, about 1.3 points.

Revision history

VersionDateAuthorChange summary
0.1YYYY-MM-DD[Your name]First build of Worked example A from the inputs
0.2YYYY-MM-DD[Your name]Example: Added downside case and interest cap switch

Standard and licence note

Based on standard leveraged finance and private equity modelling practice and the primary works listed above, with dated facts on interest deductibility and benchmark rates taken from the official pages named in the sources and checked on 2026-10-28. The text, the model, the numbers and the exercises are original; no textbook, bank training material or published case is copied or paraphrased, and Northfield Outdoor Co. and every number in this card are fictional. The template is independent and not affiliated with or endorsed by any private equity firm, bank, lender, business school or publisher. Check current tax rules, credit market terms and benchmark rates before you rely on them. Template licence: MIT.

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