ModelChoice decision tree · Corporate finance

Private Equity Buyout

A full buyout at 8x EBITDA, a buyout at 6x with management rollover, a growth minority stake, or pass?

Complexity: ★★★★★
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From the model’s decision tree

Best first decision: Buyout at 6x + Mgmt Rollover ($300M)

The expected value of each first option when every later decision is also made well (the tree rolled back).

First decision	Expected value
Full Buyout at 8x EBITDA ($400M)	$62,043,750
Buyout at 6x + Mgmt Rollover ($300M)	$278,500,000	✔ best
Growth Equity Minority ($100M)	$66,000,000
Pass on Deal	$0

Measure	Value
Expected value of the best strategy	$278,500,000
Chance of a loss on the best strategy	25.0%
Best outcome on the best strategy	$600,000,000
Worst outcome on the best strategy	−$270,000,000

The best strategy: chance of each outcome or less

S-curve (cumulative probability) of Buyout at 6x + Mgmt Rollover ($300M) from the saved simulation.

The decision

A private equity fund is evaluating a leveraged buyout of a mid-market manufacturing company with $50M EBITDA. The company has strong market position but operational inefficiencies. The fund must decide its investment approach and plan for exit in 3-5 years.

Objective

Maximize expected return on invested capital. Key uncertainties include operational improvement potential, revenue growth trajectory, debt refinancing terms, exit timing, and public market conditions.

The options

Option 1: Full Buyout at 8x EBITDA ($400M): Acquire 100% of the company at a premium multiple. Full control enables aggressive operational improvements. Three possible margin expansion outcomes drive revenue growth potential. Exit via IPO, strategic sale, or secondary buyout.
Option 2: Buyout at 6x + Management Rollover ($300M): Lower entry multiple with management retaining equity. Aligned incentives increase turnaround probability (35% vs 25% for full buyout). Management delivers or underperforms with debt default risk.
Option 3: Growth Equity Minority ($100M): Take a minority growth equity position. Lower risk, lower return. If high growth materializes, decide whether to exercise a call option for full control or sell the stake at a premium.
Option 4: Pass on Deal: Decline the investment. Deploy capital elsewhere.

The decision tree

The tree has 7 decisions, 12 chance events and 37 outcomes. The best path is open: at every decision the best choice is marked, and the expected value beside each branch counts every cash flow from the start. Open any other branch to see what follows it.

DecisionChance event+$ cash flow on the branch

Decision: LBO Strategy

Full Buyout at 8x EBITDA ($400M) −$400,000,000expected $62,043,750
Chance: Operational Improvements (Full)
- 25% Margin Expansion +500bpsexpected $411,000,000
  Chance: Revenue Growth (High Margin)
  - 30% Strong Revenue Growth 15%expected $650,000,000
    Decision: Exit (High Margin+Strong Rev)
    IPOexpected $562,500,000
    Chance: IPO Market Conditions
    30% Hot IPO Market +$1,200,000,000payoff $800,000,000
    45% Normal Market +$950,000,000payoff $550,000,000
    25% Weak Market +$700,000,000payoff $300,000,000
    Strategic Sale +$1,050,000,000payoff $650,000,000 ✔ best
    Secondary Buyout +$850,000,000payoff $450,000,000
  - 45% Moderate Growth 8%expected $380,000,000
    Decision: Exit (High Margin+Mod Rev)
    IPOexpected $331,500,000
    Chance: IPO Market Conditions
    30% Hot IPO Market +$900,000,000payoff $500,000,000
    45% Normal Market +$720,000,000payoff $320,000,000
    25% Weak Market +$550,000,000payoff $150,000,000
    Strategic Sale +$780,000,000payoff $380,000,000 ✔ best
    Secondary Buyout +$650,000,000payoff $250,000,000
  - 25% Flat Revenueexpected $180,000,000
    Decision: Exit (High Margin+Flat Rev)
    Strategic Sale +$580,000,000payoff $180,000,000 ✔ best
    Secondary Buyout +$480,000,000payoff $80,000,000
    Hold and Restructure +$350,000,000payoff −$50,000,000
- 45% Margin Expansion +200bpsexpected $54,875,000
  Chance: Revenue Growth (Med Margin)
  - 25% Strong Revenue Growthexpected $267,500,000
    Chance: Debt Refinancing (Med+Strong)
    45% Favorable Refinance +$750,000,000payoff $350,000,000
    55% Neutral Terms +$600,000,000payoff $200,000,000
  - 50% Moderate Growthexpected $36,000,000
    Chance: Debt Refinancing (Med+Mod)
    40% Favorable Refinance +$520,000,000payoff $120,000,000
    60% Unfavorable Terms +$380,000,000payoff −$20,000,000
  - 25% Flat Revenue +$280,000,000payoff −$120,000,000
- 30% No Improvementexpected −$218,000,000
  Chance: Revenue Growth (No Improvement)
  - 20% Revenue Grows Anyway +$350,000,000payoff −$50,000,000
  - 40% Flat Revenue +$200,000,000payoff −$200,000,000
  - 40% Revenue Declines +$80,000,000payoff −$320,000,000
Buyout at 6x + Mgmt Rollover ($300M) −$300,000,000expected $278,500,000 ✔ best
Chance: Operational Improvements (Mgmt)
- 35% Mgmt Delivers Turnaroundexpected $600,000,000
  Decision: Exit (Mgmt Turnaround)
  - IPO +$900,000,000payoff $600,000,000 ✔ best
  - Strategic Sale +$800,000,000payoff $500,000,000
  - Secondary Buyout +$680,000,000payoff $380,000,000
- 40% Moderate Improvementexpected $250,000,000
  Decision: Exit (Moderate Improvement)
  - Strategic Sale +$550,000,000payoff $250,000,000 ✔ best
  - Secondary Buyout +$450,000,000payoff $150,000,000
  - Dividend Recap +$380,000,000payoff $80,000,000
- 25% Mgmt Underperformsexpected −$126,000,000
  Chance: Underperformance Outcome
  - 45% Stabilizes Eventually +$280,000,000payoff −$20,000,000
  - 35% Continued Decline +$120,000,000payoff −$180,000,000
  - 20% Debt Default Risk +$30,000,000payoff −$270,000,000
Growth Equity Minority ($100M) −$100,000,000expected $66,000,000
Chance: Revenue Growth (Minority)
- 25% High Growth >20%expected $180,000,000
  Decision: High Growth - Next Move
  - Exercise Call Option for Control −$150,000,000expected $123,000,000
    Chance: Full Control Outcome
    50% Continues Growing +$500,000,000payoff $250,000,000
    35% Growth Slows +$300,000,000payoff $50,000,000
    15% Integration Stumbles +$120,000,000payoff −$130,000,000
  - Sell Stake at Premium +$280,000,000payoff $180,000,000 ✔ best
- 45% Moderate Growth 10% +$160,000,000payoff $60,000,000
- 30% Stagnation +$80,000,000payoff −$20,000,000
Pass on Dealpayoff $0

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Key assumptions

Assumption	Value	Notes
Target EBITDA	$50,000,000	Mid-market manufacturing company
Full Buyout Price (8x)	$400,000,000	Premium multiple for full control
Mgmt Rollover Price (6x)	$300,000,000	Lower multiple, aligned incentives
Growth Equity Investment	$100,000,000	Minority stake, lower risk
Margin Expansion (Best)	+500 bps	25% probability in full buyout
Mgmt Turnaround Probability	35%	Higher with management rollover
Hold Period	3-5 years	Typical PE investment horizon
IPO Exit Multiple	10-12x EBITDA	Depends on market conditions
Strategic Sale Premium	15-20%	Premium for strategic synergies
Debt Default Risk (Mgmt)	20%	If management underperforms

The figures are illustrative: the companies and numbers are invented for teaching.

Try it in ModelChoice

Strategy Table. Compare full buyout vs mgmt rollover vs growth equity
Sensitivity Analysis. How do margin improvements and exit multiples affect returns?
Risk Profile. Visualize return distribution for each investment approach

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An illustrative example: the figures are invented for teaching. Last updated 9 October 2026.