Private Equity Value Creation Concept Card Template

Private Equity Value Creation Concept Card: [Your deal, case or course]

A concept card for how private equity owners try to create value in a portfolio company and how that value is measured: the value creation bridge (revenue growth, margin expansion, multiple expansion, deleveraging, fees), the attribution problem when the drivers interact (sequential versus Shapley attribution), the value creation plan and the first 100 days, KPI driver trees, buy-and-build and multiple arbitrage, management incentive plans, and what the research says about operational, governance and financial engineering. It is for second-year MBA students in a private equity elective, candidates preparing for buyout and portfolio-operations interviews, and managers in PE-owned companies. It builds on mba/mba-paper-lbo, which introduces the simple three-part bridge; this card splits EBITDA growth into its operating drivers, shows why the order of attribution changes the story, and turns the bridge into a plan. Worked example A is fully solved, Worked example B is half solved and Exercise C is left for you, with a separate answer key. Source basis: Jensen (1986), Kaplan (1989), Kaplan and Strömberg (2009), Guo, Hotchkiss and Song (2011), Acharya, Gottschalg, Hahn and Kehoe (2013), Davis et al. (2014), Bloom, Sadun and Van Reenen (2015), Gompers, Kaplan and Mukharlyamov (2016) and Shapley (1953), written up in original words with fictional companies. Replace every [bracketed] value and every row marked Example. This is a learning aid, not investment, legal or tax advice.

Document control

Contents

• When to use it
• The idea in plain language
• Formulas and notation
• Assumptions and limits
• How sponsors and operating partners use it
• What the evidence says
• Worked example A (fully solved): Target D over five years
• Worked example B (half solved): a buy-and-build
• Exercise C (unsolved): a KPI driver tree for portfolio company R
• Value creation plan process
• Connections to other cards
• Common mistakes and misconceptions
• Self-test questions
• My notes and next steps
• Sources and further reading
• Answer key
• Revision history

When to use it

One-sentence rule: the equity gain in a buyout equals the change in enterprise value plus the reduction in net debt less the costs of the deal, and the change in enterprise value comes from more revenue, a better margin or a higher multiple; only the first two are under management's control, so a credible plan rests on them.

The idea in plain language

At entry the sponsor pays an enterprise value (EV) equal to a multiple of EBITDA, funds it with debt and equity, and pays fees. At exit the company is worth the exit multiple times exit EBITDA; the equity receives that value less the remaining net debt. The gain to equity therefore has five parts:

1. Revenue growth: more customers, more volume, new products, new markets, price.
2. Margin expansion: a higher EBITDA margin from procurement, pricing discipline, productivity and overhead.
3. Multiple expansion: a higher exit multiple than entry multiple, because the company is larger, more profitable, less risky or simply because markets are higher at exit.
4. Deleveraging: free cash flow repays debt, so more of the EV belongs to equity.
5. Fees and costs: transaction fees at entry and exit reduce the gain.

Kaplan and Strömberg (2009) group what sponsors do into financial engineering (leverage and incentives, which Jensen (1986) argued disciplines managers who would otherwise waste free cash flow), governance engineering (small, active boards and close monitoring) and operational engineering (industry and operating expertise applied to the business). The bridge measures outcomes; the plan is how the owner intends to produce them.

The difficulty is interaction. EV is a product, revenue times margin times multiple, so the effect of a higher margin depends on how much revenue there is, and the effect of a higher multiple depends on how much EBITDA there is. A sequential bridge assigns the interaction to whichever driver is computed last, so the order changes the story. A manager who wants to show "operational" value creation computes the multiple effect first, on small entry EBITDA; a sceptic computes it last, on large exit EBITDA. The Shapley value from cooperative game theory (Shapley 1953) averages the contribution of each driver over every order, which gives a single, order-free split.

Formulas and notation

The Shapley formula for margin swaps the roles: $\phi_m = \Delta m [R_0 x_0/3 + (R_1 x_0 + R_0 x_1)/6 + R_1 x_1/3]$, and likewise $\phi_x = \Delta x [R_0 m_0/3 + (R_1 m_0 + R_0 m_1)/6 + R_1 m_1/3]$. The three always add up to $\Delta EV$.

Assumptions and limits

1. The bridge is an accounting identity, not a causal model. It says where the value sits, not who created it. Revenue growth in a booming market would have happened under any owner.
2. EBITDA must be comparable. Use adjusted EBITDA on the same definition at entry and exit; check adjustments with a quality of earnings review (finance/quality-of-earnings-scope). Add-backs that grow over the hold inflate the bridge.
3. Acquired EBITDA is not organic growth. Separate EBITDA bought through add-ons from organic growth, or the bridge credits the sponsor with growth it paid for.
4. Multiple expansion is mostly market. Part of it can reflect a better business (larger, less cyclical, higher growth), but much of it moves with public valuations and credit conditions. Prudent plans assume exit at the entry multiple or lower.
5. Deleveraging needs cash. Debt paydown is the cumulative free cash flow after interest, tax, capital expenditure and working capital; a dividend recapitalisation moves value to equity earlier but is not operating value creation.
6. Management equity dilutes the sponsor. A management incentive plan (sweet equity or options) takes a share of the exit equity; the sponsor's bridge should show it.
7. The Shapley split is a convention. It is fair in the sense of being order-free, but it is still a way to share an interaction term, not a measure of effort.

How sponsors and operating partners use it

Before signing. Due diligence (finance/due-diligence-request-list) tests each driver of the plan: market growth, share gains, pricing power (mba/mba-pricing-card), cost base and process capacity (mba/mba-process-analysis-card). The investment memo (finance/private-equity-investment-memo) shows the base-case bridge and asks what return remains with no multiple expansion.

First 100 days. The owner agrees a value creation plan (VCP) with management: three to seven initiatives, each with an owner, a KPI, a target and a value at the entry multiple (the prudent exit assumption). Typical early moves are reporting and cash discipline (a 13-week cash forecast, working capital), board and management changes, pricing and procurement quick wins, and the first add-on pipeline. finance/m-and-a-integration-100-day-plan gives a planning format.

During the hold. Boards review a KPI pack monthly. The KPIs come from a driver tree that links each operating lever to EBITDA (Exercise C). Gompers, Kaplan and Mukharlyamov (2016) report from a survey of private equity investors that they plan for operational improvements and growth as well as financial engineering, and that they align management through equity and incentives.

At exit and in fundraising. The bridge appears in the exit memo and in every track-record presentation. LPs increasingly ask for it with the attribution method stated, because a sequential bridge can be ordered to flatter the manager.

What the evidence says

• Operating improvements in early buyouts. Kaplan (1989) studied large management buyouts of public companies in the 1980s and found increases in operating income and net cash flow relative to industry and lower capital expenditure in the years after the buyout.
• Later buyouts. Guo, Hotchkiss and Song (2011) studied public-to-private buyouts completed between 1990 and 2006 and found that operating gains were comparable to or modestly above benchmarks, with returns linked to market and industry returns, operating improvements and tax benefits of debt.
• Deal-level outperformance and skills. Acharya, Gottschalg, Hahn and Kehoe (2013) found that deal-level returns in their sample of mature buyouts by large houses were associated with improvements in sales and margins relative to quoted peers, and that partners' backgrounds (operational or financial) related to the type of value creation.
• Management practices. Bloom, Sadun and Van Reenen (2015) found in survey data that PE-owned firms are on average better managed than government-, family- and privately-owned firms, and similar to firms with dispersed shareholders such as listed companies.
• Jobs and productivity. Davis, Haltiwanger, Handley, Jarmin and Lerner (2014) studied US buyouts and found that employment at target establishments fell relative to controls, with large differences across deal types, while productivity rose, partly through reallocation of activity across establishments.

The balanced reading: buyouts can improve operations and governance, but the size of the effect differs across eras and deal types, and leverage and market timing explain a large share of returns in many deals. A strong case discussion separates these sources instead of asserting "we created value".

Worked example A (fully solved): Target D over five years

Situation (fictional). A sponsor buys Target D, a specialty industrial distributor (not the Target T of the mba/mba-private-equity-guide mini-case), at 9.0x EBITDA. Entry revenue is USD 400m at a 15.0% EBITDA margin. Net debt at entry is 5.0x EBITDA; fees are 2% of EV, paid by equity. Over five years revenue grows to USD 560m and the margin to 18.0%; free cash flow reduces net debt to USD 160m; the company is sold at 10.0x. There are no interim distributions.

Step 1: entry, exit and returns (USD m).

Revenue grows 6.96% a year (=RRI(5,400,560)) while EBITDA grows 10.93% a year (=RRI(5,60,100.8)); leverage falls from 5.0x to 1.59x (=160/100.8).

Step 2: sequential bridge (revenue, then margin, then multiple).

Excel for the revenue row: =(560-400)*15%*9; for the share: =216/597.2.

Step 3: the same gain, three ways (USD m).

With the multiple computed first, on entry EBITDA, multiple expansion looks like only USD 60.00m (=(10-9)*60) and EBITDA growth at the exit multiple takes USD 408.00m (=(100.8-60)*10). The Shapley column averages the six possible orders. Excel for the revenue Shapley term: =(560-400)*(15%*9/3+(18%*9+15%*10)/6+18%*10/3), which returns 251.20.

Step 4: what the return looks like without the market. Exiting at the entry multiple of 9.0x gives EV USD 907.20m, equity USD 747.20m, MOIC 2.98x and IRR 24.40% (=RRI(5,250.8,907.2-160)). With revenue growth only (margin 15%, exit 9.0x, net debt still USD 160m) the equity is USD 596.00m, MOIC 2.38x and IRR 18.90%. A management incentive plan that takes 8% of exit equity cuts the sponsor's proceeds to USD 780.16m, MOIC 3.11x and IRR 25.48% (=RRI(5,250.8,848*(1-8%))).

Conclusion. The deal made 3.38x and 27.6%. Operations (revenue and margin) explain USD 367m to USD 408m of the USD 468m rise in EV depending on the order, or USD 388.40m on the Shapley split; the multiple explains USD 60m to USD 101m. Without any multiple expansion the deal still makes about 3.0x, which is the number an LP should weigh.

Worked example B (half solved): a buy-and-build

Situation (fictional). A sponsor buys Platform P, a regional testing-services business, with EBITDA of USD 50m at 10.0x. Over three years it buys three smaller add-ons, each with EBITDA of USD 10m, at 6.0x. Integration produces cost synergies of USD 3m a year per add-on and costs USD 12m once. Organic EBITDA is flat to isolate the effect. The sponsor expects to sell the combined group at 10.0x.

Questions to answer:

1. If the market pays only 8.0x at exit, what is the exit EV and the value created after integration cost? [ ]
2. What exit multiple leaves the strategy at break-even after integration cost (=(680+12)/89)? [ ]
3. Name two reasons a larger platform might deserve a higher multiple than its add-ons, and two reasons it might not. [ ]

Exercise C (unsolved): a KPI driver tree for portfolio company R

Situation (fictional). Portfolio company R is a specialty retailer with revenue of USD 800m, a gross margin of 40% and operating costs (excluding depreciation) of 28% of revenue, so EBITDA is USD 96m. The value creation plan has three levers:

• Price: raise prices 2%; the team expects volume to fall 1% in response.
• Procurement: cut the cost of goods sold by 1.5% through supplier consolidation.
• Overhead: remove USD 6m of operating costs.

Treat cost of goods sold as variable with volume and the other operating costs as fixed in dollars.

Tasks:

1. Draw the driver tree from EBITDA down to price, volume, unit cost and overhead (a Mermaid flowchart or on paper).
2. Compute the new revenue, cost of goods sold, operating costs and EBITDA with all three levers.
3. Compute each lever alone against the base. Why do the three effects not add up exactly to the total?
4. Value the EBITDA uplift at 8.0x and at 9.0x.
5. Choose one KPI per lever for the monthly board pack and say who owns it.

Value creation plan process

The plan starts in diligence, is agreed in the first 100 days and is run through a KPI cadence until the exit, when the bridge is computed and explained. Each loop back is a decision to keep, change or stop an initiative.

Connections to other cards

Common mistakes and misconceptions

1. Presenting a sequential bridge without stating the order. The same deal can show USD 60m or USD 101m of multiple expansion; state the order or use Shapley.
2. Counting acquired EBITDA as organic growth. Show add-on EBITDA and its purchase price separately.
3. Calling multiple expansion "value creation" without evidence. Show what changed in the business (scale, growth, recurring revenue) before claiming any of it.
4. Ignoring the fees and the management incentive plan. Both come out of the sponsor's equity gain.
5. Treating deleveraging as free. Debt paydown is cash the business generated; a recapitalisation only moves the timing.
6. Adding lever effects that interact. Price and volume, and procurement savings on a smaller volume, interact; compute the combined case, then show the levers.
7. Relying on EBITDA add-backs that grow over the hold. Check adjusted EBITDA on the same definition at both dates.
8. Reading the research as "PE always improves operations". The evidence differs by period, country and deal type.
9. Setting KPIs that do not connect to EBITDA or cash. Every KPI in the board pack should sit on the driver tree.
10. Assuming buy-and-build arbitrage is guaranteed. It depends on the exit multiple and on integration working.

Self-test questions

1. Write the identity that links the equity gain to the change in EV, net debt and fees.
2. EBITDA grows from 50 to 70 and the multiple from 8.0x to 9.0x. Compute the multiple effect and the EBITDA effect with EBITDA first, and then with the multiple first.
3. Why does the Shapley split not depend on the order of the drivers?
4. In Worked example A, what are MOIC and IRR if the exit multiple equals the entry multiple?
5. An add-on with EBITDA of 5 is bought at 7.0x into a platform valued at 11.0x. What is the multiple arbitrage, and what has to be true for it to be realised?
6. Name the three types of engineering described by Kaplan and Strömberg (2009), with one example each.
7. Why might an LP discount a track record in which most of the gain is multiple expansion?
8. Give two findings from the research on buyouts and the period each study covers.
9. Why does a management incentive plan reduce the sponsor's MOIC even if it raises total value?
10. Interleaving: which card answers each question? (a) What LPs receive after carry. (b) The maximum entry multiple for a 25% IRR. (c) The value of cost synergies in a merger of two listed companies.

My notes and next steps

Sources and further reading

Primary works:

• Shapley, L. S. (1953). A value for n-person games. In H. W. Kuhn and A. W. Tucker (Eds.), Contributions to the Theory of Games II (Annals of Mathematics Studies 28). Princeton University Press.
• Jensen, M. C. (1986). Agency costs of free cash flow, corporate finance, and takeovers. American Economic Review, 76(2), 323-329.
• Kaplan, S. N. (1989). The effects of management buyouts on operating performance and value. Journal of Financial Economics, 24(2), 217-254.
• Kaplan, S. N., and Strömberg, P. (2009). Leveraged buyouts and private equity. Journal of Economic Perspectives, 23(1), 121-146.
• Guo, S., Hotchkiss, E. S., and Song, W. (2011). Do buyouts (still) create value? The Journal of Finance, 66(2), 479-517.
• Acharya, V. V., Gottschalg, O. F., Hahn, M., and Kehoe, C. (2013). Corporate governance and value creation: evidence from private equity. The Review of Financial Studies, 26(2), 368-402.
• Davis, S. J., Haltiwanger, J., Handley, K., Jarmin, R., Lerner, J., and Miranda, J. (2014). Private equity, jobs, and productivity. American Economic Review, 104(12), 3956-3990.
• Bloom, N., Sadun, R., and Van Reenen, J. (2015). Do private equity owned firms have better management practices? American Economic Review, 105(5), 442-446.
• 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.

Textbooks (further reading, by name only): Rosenbaum and Pearl, Investment Banking: Valuation, LBOs, M&A, and IPOs; Talmor and Vasvari, International Private Equity; Koller, Goedhart and Wessels, Valuation: Measuring and Managing the Value of Companies.

Open resource: OpenStax, Principles of Management (CC BY-NC-SA 4.0), for the change-management and control-system background of a 100-day plan, https://openstax.org.

Answer key

Worked example B. Add-on cost 180.0 (=3*10*6); blended entry multiple 8.50x (=680/80); exit EV 890.0 (=89*10); synergy value 90.0; value created after integration cost 198.0 (equal to arbitrage 120.0 plus synergies 90.0 less integration 12.0). (1) At 8.0x the exit EV is 712.0 and value created after integration cost is only 20.0 (=89*8-680-12). (2) Break-even multiple 7.78x (=(680+12)/89, 7.775). (3) Higher multiple: more scale and diversification, better systems and management depth, a wider set of buyers. Lower multiple: integration may fail, the add-ons may be lower-quality businesses, and buyers may price the group on its weakest parts or on a falling market.

Exercise C. (2) New revenue $800 \times 1.02 \times 0.99 = 807.84$; cost of goods sold $480 \times 0.99 \times 0.985 = 468.07$; operating costs $224 - 6 = 218.00$; new EBITDA USD 121.77m, up USD 25.77m, margin 15.07% (from 12.0%). (3) Price alone: +12.64 (revenue up 7.84, cost of goods down 4.80 on lower volume); procurement alone at base volume: +7.20 (=480*1.5%); overhead: +6.00. They sum to 25.84, not 25.77, because the procurement saving applies to a 1% smaller volume (7.13 instead of 7.20). (4) USD 206.14m at 8.0x and USD 231.91m at 9.0x. (5) For example: average realised price versus list (commercial director), purchase price variance by supplier (procurement head), overhead cost per store against budget (chief financial officer).

Self-test.

1. $E_{exit} - E_{entry} = (EV_1 - EV_0) + (ND_0 - ND_1) - F$.
2. EBITDA first: $(70 - 50) \times 8 = 160$, then multiple $(9 - 8) \times 70 = 70$. Multiple first: $(9 - 8) \times 50 = 50$, then EBITDA $(70 - 50) \times 9 = 180$. Both add to 230.
3. It averages each driver's marginal contribution over every possible order, so no driver is privileged by its position.
4. MOIC 2.98x and IRR 24.40%.
5. Arbitrage $5 \times (11 - 7) = 20$. It is realised only if the exit buyer actually values the add-on's EBITDA at the platform's multiple, which requires integration and a stable market multiple.
6. Financial (leverage and management equity), governance (small active board, CEO replacement when needed), operational (pricing, procurement, lean operations brought in by operating partners).
7. Multiple expansion depends largely on market conditions at exit, which a manager cannot repeat at will, so it says little about the next fund.
8. For example: Kaplan (1989), 1980s management buyouts, operating income and net cash flow rose relative to industry; Guo, Hotchkiss and Song (2011), buyouts of 1990 to 2006, operating gains comparable to or modestly above benchmarks.
9. Management receives part of the exit equity, so the sponsor's share of proceeds falls; the plan is worth it only if it raises total value by more than the share given away.
10. (a) mba/mba-pe-fund-economics-card; (b) mba/mba-paper-lbo or mba/mba-lbo-model-card; (c) mba/mba-synergy-valuation-card.

Revision history

Standard and licence note

Based on standard private equity and corporate finance practice and on the primary works listed above. The text, examples, numbers and questions are original; no textbook, case or firm material is copied or paraphrased, and Target D, Platform P and portfolio company R are fictional. The template is independent and not affiliated with or endorsed by any private equity firm, business school or publisher. Check the definitions in your own deal documents before you rely on any figure. Template licence: MIT.