“Give me a lever long enough and a fulcrum on which to place it, and I shall move the world.”
— Archimedes, 3rd century BC
Download the Slide Deck (PDF) Geometric_Compounding
I. What Hohn Sees
In a rare interview, Chris Hohn—TCI Fund Management, over $50 billion deployed across ten positions—described what he sees in businesses like Visa and the rating agencies. He spoke about pricing power. He spoke about volume. And then he described something worth examining closely.
He said that once these businesses surpass their baseline volume, every incremental gain costs nothing. He said that a 1% increase in margins through pricing power is “huge.” And he described the combination of volume growth and pricing power as creating a leverage effect.
Pricing power is a familiar concept. Every analyst appreciates its value. But Hohn was describing something more specific. He was describing three independent forces that stack on top of each other—each at zero marginal cost—amplified by a fixed cost structure that turns revenue growth into profit growth at a multiplied rate.
II. The Geometrical Architecture
Every business has two forces operating inside it.
The A is the toll—the cash the business collects today. Visa’s percentage on every electronic transaction. S&P Global’s fee on every bond rating. Moody’s fee on the other side of the same bond. MSCI’s basis points on every dollar benchmarked to its indices. Mastercard’s percentage on its parallel payment rail. The A is the present tense of a business.
The B is the wave—the structural growth that compounds the A over time. The digitalization of global payments. The expansion of global debt. The migration from active to passive investing. The B is the future tense.
The relationship between the A and the B determines everything. And the difference comes down to a single mathematical sign.
In most businesses, the relationship is additive: A + B. The toll collects today, and the growth requires separate capital investment. Coca-Cola collects from shelf sales (the A) but must spend $4 billion annually on advertising to maintain its market position (the B). A railroad collects freight fees (the A) but must invest billions in track and locomotives to grow (the B). The growth costs real money. The toll and the wave sit side by side. They add up. This is the mechanical B—expensive, effortful, and dependent on continuous capital allocation.
The result of addition is growth without amplification. The business compounds—but profit grows at roughly the same rate as revenue. Costs rise with revenue, neutralizing the lever. Coca-Cola grows at 5% per year. That is compounding. But it is not accelerating. The toll and the wave sit side by side, each growing, but neither amplifying the other. Most investors who say they want “compounding” own the steady kind—without realizing that a different architecture produces something more powerful.
In the rarest businesses, the relationship is multiplicative: A × B. The toll and the wave fuse. The growth arrives without capital expenditure, without human decision, entirely inside the moat. Every new electronic transaction enriches Visa without Visa spending a dollar. Every new bond issuance pays S&P Global and Moody’s without a sales call. Every dollar flowing into passive investing pays MSCI without MSCI acquiring a single new client. The cost of growth is zero. This is the natural B—free, structural, and self-reinforcing.
The result of multiplication is geometric growth. Compounding. Accelerating. $100, $110, $121, $133. Each period builds on the enlarged base of the previous one. The growth curves upward. This is what compounding actually means—not a vague idea about patience and time horizons, but a precise mathematical structure where the toll multiplies the wave and the wave multiplies the toll.
Businesses where A × B fuse perfectly are called Freesurfers in this framework. Five businesses in the world achieve this architecture in its purest form: Visa, Mastercard, S&P Global, Moody’s, and MSCI.
What Hohn described in his interview is the mechanism by which the Freesurfer converts multiplication into compounding profit. Three layers of growth, each at zero cost, passing through a lever that amplifies the geometry.
III. The Three Layers
Layer one: Real volume growth.
More electronic transactions worldwide each year. More bonds issued. More capital flowing into passive indices. This is the secular wave—the B—arriving without effort. It has nothing to do with inflation or pricing decisions. If inflation were zero, volume would still grow because the world is digitalizing, global debt is expanding, and passive investing is displacing active management. This is the engine. The wave that arrives for free.
Layer two: Explicit pricing power.
S&P Global raises its rating fees. MSCI increases its index licensing rates. Visa adjusts its network and processing fees. They can do this because the moat prevents the customer from leaving. An issuer cannot skip the rating—regulation requires it. An asset manager cannot abandon the MSCI World—the benchmark is the standard. A merchant cannot refuse Visa—the customers carry the card.
The five Freesurfers exercise this power differently. S&P Global, Moody’s, and MSCI raise prices with minimal friction—their customers are institutional, the increases are contractual, and the political visibility is low. Visa and Mastercard must be more cautious—merchants are vocal, regulators are attentive, and interchange caps exist in some jurisdictions. The power is real for all five. The constraint is political, not structural.
Layer three: Inflation pass-through.
This is the layer that requires no decision at all.
Visa and Mastercard’s toll is a percentage of the transaction value. When inflation raises the price of a meal from $50 to $55, the networks collect their percentage on $55. No letter was sent. No negotiation occurred. The inflation is the price increase.
S&P Global and Moody’s rating fees are tied to the size of the issuance. When inflation raises nominal values, the same real project requires a larger nominal bond. The agencies collect more for rating the same underlying economic activity.
MSCI’s fee is basis points on assets under management. When inflation pushes nominal asset values higher, the AUM swells. MSCI collects more without a single new dollar flowing into passive funds.
This layer is invisible, automatic, and politically costless. The toll is a percentage, and percentages ride inflation by design.
IV. The Fulcrum
The three layers generate incremental revenue. But revenue is not profit. The force that converts revenue into profit—at a multiplied rate—is operating leverage. And operating leverage depends on one thing: the cost structure.
Archimedes—the Greek mathematician who discovered the principle of the lever twenty-three centuries ago—needed a fulcrum to move the world. The Freesurfer’s fulcrum is its fixed cost base.
The cost of running Visa’s network is essentially fixed. The servers, the employees, the infrastructure—they are the same whether Visa processes 100 billion transactions or 120 billion. The cost of maintaining the MSCI World index is the same whether the AUM benchmarked to it is $3 trillion or $6 trillion. The cost of S&P Global’s ratings division barely moves whether it rates 5,000 issuances or 6,000.
Once revenue surpasses the fixed cost base—what Hohn called surpassing the volume—every additional dollar from all three layers flows almost entirely to profit.
A Freesurfer with $30 billion in revenue and $10 billion in fixed costs earns $20 billion in operating profit—67% margin. Volume grows 5%. Pricing adds 2%. Inflation passes through 3%. Total revenue growth: 10%.
New revenue: $33 billion. Costs: still $10 billion. New profit: $23 billion. Profit growth: 15%. Revenue grew 10%. Profit grew 15%. The lever is 1.5×. That is geometric—profit compounds faster than revenue because the fulcrum does not move.
That is what Hohn means when he says a 1% pricing increase is “huge.” It is not 1% of profit growth. It is 1% of revenue, amplified by the lever into 1.5% of profit growth, compounding on an enlarging base, year after year. The geometry accelerates.
V. Three Freesurfers Applied
All five Freesurfers benefit from the three layers and the lever. Three illustrate the range of how the dosage differs: Visa for the deepest volume runway, S&P Global for the broadest toll portfolio, and MSCI for the purest operating leverage. Mastercard mirrors Visa on a parallel rail. Moody’s mirrors S&P Global on the other side of the cooperative duopoly.
Visa
Volume: the digitalization of payments is secular and global. Cash is still over 80% of transactions in many emerging markets. The runway is decades long. Pricing power: real but politically constrained—merchants are vocal, regulators attentive. Visa adjusts fees incrementally, in the complexity of its fee structure, below the radar. Inflation pass-through: automatic—the toll is a percentage, and the percentage rides every price increase in the economy. Operating leverage: very high—network infrastructure is fixed, marginal cost per transaction is near zero.
S&P Global
Volume: global debt issuance is a secular force. Post-purification, S&P Global operates four independent tolls—Ratings, Indices, Market Intelligence, and Commodity Insights. Four waves, four volumes, four independent growth engines. Pricing power: strong and captive—the duopoly with Moody’s is cooperative, not competitive. Both raise prices. Neither undercuts the other. Regulation requires the rating. The client cannot leave. Inflation pass-through: structural—rating fees are tied to issuance size, and inflation increases nominal issuance values. Operating leverage: high, amplified across four segments.
MSCI
Volume: the secular migration from active to passive investing is one of the most powerful structural forces in finance. Every dollar moving from an active fund to a passive index fund pays MSCI’s toll. This wave is decades from exhaustion. Pricing power: strong and frictionless—MSCI’s clients are asset managers running trillions, and a basis point increase in licensing fees is invisible to the end investor but represents tens of millions to MSCI. No political constituency protests MSCI’s pricing. Inflation pass-through: automatic—the fee is basis points on AUM, and markets rise with inflation. Operating leverage: maximum—the cost of maintaining an index is essentially the same regardless of the AUM benchmarked to it.
If forced to rank: MSCI has the cleanest stack—maximum volume, frictionless pricing, automatic inflation, highest leverage. S&P Global has the broadest—four independent toll-and-wave systems. Visa has the deepest runway—the largest addressable market, with decades of cash-to-digital conversion ahead.
VI. Where the Advantage Is Greatest
The three layers exist for every business—Freesurfer and mechanical alike. Volume grows for railroads too. Some mechanical businesses have pricing power. Inflation touches all revenue. But the differential between what the Freesurfer captures and what the mechanical captures is not equal across the three layers.
Volume: moderate differential. Both benefit. A railroad that carries 10% more freight earns 10% more revenue. But the Freesurfer captures volume at zero cost, while the mechanical must invest capex to handle the additional volume. Both capture the growth. The Freesurfer captures it for free.
Pricing power: high differential. The depth of the moat determines the pricing power directly. The Freesurfer with an infrastructural or regulatory moat can raise prices because the customer literally cannot leave. The mechanical on a level playing field cannot—raising prices means losing customers to competitors.
Inflation pass-through: maximum differential. This is where the Freesurfer separates definitively. The Freesurfer captures 100% of inflation at zero cost—the toll is a percentage, the values inflate, the revenue rises, and the costs do not move. The mechanical captures almost nothing—inflation raises revenue but also raises costs. Steel costs more. Labor costs more. Energy costs more. The net margin impact for the mechanical is close to zero. For the Freesurfer, it is close to 100%.
The lever amplifies the hierarchy. Operating leverage multiplies each layer’s contribution to profit growth. Since all three layers are stronger for the Freesurfer, the lever amplifies a larger base. The geometry compounds a larger advantage.
VII. The Mechanical Mirror
For the mechanical business, the same three forces exist. But each one is diminished.
Volume growth requires capital expenditure. A railroad that carries more freight must invest in infrastructure. The revenue grows. The cost grows with it.
Pricing power is limited by competition. On a level playing field, raising prices means losing customers.
Inflation pass-through is neutralized by cost inflation. When input costs rise at the same rate as output prices, the margin is unchanged.
And the operating leverage flattens. When costs are variable—rising with revenue—the fulcrum moves. There is no fixed point to amplify the growth.
Three layers, each diminished. A lever with no fixed fulcrum. The mechanical business still compounds—but without amplification. Profit grows at roughly the same rate as revenue. The Freesurfer compounds profit faster than revenue—amplified by the three layers and the lever. Over fifteen years, the gap between amplified and unamplified compounding is not incremental. It is transformational.
VIII. The Invisible Layer
The market models one of the three layers explicitly. Revenue growth—volume—appears in every analyst projection. Transaction growth for Visa. Issuance volumes for S&P Global. AUM flows for MSCI. This layer is visible and largely priced.
The market partially models the second layer. Pricing power is noted qualitatively in research reports. But it is modeled conservatively—1-2% annual increases—and treated as a modest assumption rather than a structural force.
The market does not model the third layer.
Inflation pass-through—the automatic capture of nominal value increases through a percentage-based toll at zero cost—does not appear as a separate line item in any analyst model. When a sell-side analyst projects 10% revenue growth for Visa, the number is a blend of volume, pricing, and inflation. The analyst does not decompose it. And critically, the analyst does not account for the fact that the inflation component costs zero for the Freesurfer while the same inflation is a cost for the mechanical business modeled in the same spreadsheet.
The market’s mental model treats inflation as a headwind—higher costs, margin pressure. The Freesurfer’s reality is that inflation is free revenue. The disconnect is structural.
And the compounding irony: the layer the market does not model is the layer where the Freesurfer has the maximum advantage over the mechanical. The largest advantage is the least visible. This is why the structural undervaluation of the Freesurfer is not temporary. It is a persistent feature of a market that applies the same model to businesses with fundamentally different architectures.
The invisible gift, described in an earlier post in this series, returns here in its most precise form. The market sees the visible—volume growth, announced pricing. It does not see the inflation that flows silently through the percentage toll at zero cost, amplified by a lever the model does not measure, compounding geometrically on a base that grows with every cycle.
IX. The Lever and the World
Archimedes wanted a lever long enough to move the world. The Freesurfer has one.
Three forces—volume, pricing power, inflation—each independent, each arriving at zero cost, each passing through a fixed cost structure that multiplies revenue growth into profit growth. The result is geometric. The result is compounding. The result is what every investor seeks—but in a form that the standard model does not capture.
Five businesses in the world operate this architecture in its purest form. All five collect a toll on a structural wave. All five stack the three layers at zero marginal cost. All five pass the result through a lever with a fixed fulcrum. And all five compound profit faster than revenue—because the sign between the A and the B is not a plus. It is a multiplication.
Three layers. Zero cost. One lever.
A × B.
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Related posts on averagingup.com:
The Architecture Beneath the Margin · Cheap Money Hides Impurity · The Imperfect B · Hohn vs Ackman · The Purification Trade · Inflation Doesn’t Punish Growth · The Freesurfer · The Compression Harvest · The Availability Bias and the Invisible Gift
Based on the framework from The Infinite Investor, available at averagingup.com.