By Jocelyn Dubé

Listen to the deep-dive discussion – How Convergent Businesses Grow for Free. (36:02 min)

 

“When somebody says, ‘Any idiot could run this joint,’ that’s a plus as far as I’m concerned, because sooner or later any idiot probably is going to be running it.”
— Peter Lynch, One Up On Wall Street

“In my business, every year you make a profit, and there it is, sitting in the yard.”
— Charlie Munger, quoting John Anderson

“Three will suffice. Hell, one will suffice if you do it right.”
— Charlie Munger, Daily Journal Annual Meeting

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I. Lynch Is Right

Peter Lynch wrote that a business so simple an idiot could run it was a plus, because sooner or later one would. The observation was comic. It was also the beginning of something deeper.

The Freesurfer is not merely a business that survives an idiot. It is a business where the identity of the person running it is structurally irrelevant to the compounding. Remove Visa’s CEO for a year. The digitalization of payments continues. Governments keep pushing cashless. Banks keep installing terminals. Consumers keep tapping phones. The toll collects. The cash flows expand.

Remove MSCI’s management team for a year. The shift to passive investing continues. ETF providers keep licensing indices. Pension funds keep benchmarking. The royalty accumulates.

Lynch’s idiot was a warning about management risk. The convergent business eliminates management risk altogether — not by hiring better managers, but by making management quality irrelevant to the compounding. The forces that deliver the revenue are not under anyone’s command.

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II. What Convergence Is

Three concepts from the physical sciences underpin this framework. Each describes a different aspect of the same structural reality. The first two are processes. The third is the destination they produce.

The Gradient is a concept from physics that describes the slope of a field — the direction and intensity of the steepest change. In nature, flows always move down the gradient: water flows downhill, heat moves from hot to cold, molecules diffuse from concentrated to dilute. Nothing chooses to descend. The structure of the system compels the movement. The gradient is a passage obligé — the physics of the system permits no other direction. In the framework, the gradient describes the natural slope that capital follows from businesses with expensive growth to businesses with free growth — from the heavy cost of reinvestment to the zero cost of structural forces. Capital descends this gradient the way water descends a hill: not by decision, but by the pull of the terrain.

Distillation is a process from chemistry that separates a mixture into its components by their different properties. Heat is applied. The lightest, purest elements rise. The heaviest remain at the bottom and are eliminated. What emerges at the end is the essence — the most concentrated, the most refined. In the framework, distillation describes what happens to a portfolio as it descends the gradient. The capital-heavy businesses are eliminated — railways, aerospace, industrials. What survives is the essence: the businesses where the cost of growth is zero, where the toll collects without effort. The portfolio purifies itself. Hohn’s portfolio over three quarters is a distillation in real time: the heavy elements fell away, and what remained was Visa, S&P Global, Moody’s, MSCI.

Convergence is the destination. In physics and systems theory, convergence describes the tendency of independent flows to concentrate at a single point determined by the structure of the system. A river delta converges not because someone directs the water, but because the topography of the terrain funnels all tributaries toward the same outlet. The water has no intention. The land has no plan. But the structure produces the result.

In fluid dynamics, a convergence zone is where separate currents meet and their combined energy amplifies. In evolutionary biology, convergent evolution describes unrelated species developing identical solutions to the same environmental pressure — eyes evolving independently in dozens of lineages, because the physics of light permits only a few optimal designs. The principle is always the same: independent forces, no coordination, one destination.

Convergence, as a mental model for investing, is the recognition that certain businesses sit at structural convergence points — where multiple independent gradients, each obeying its own logic, flow toward the same toll. The gradient is the path. Convergence is where the paths meet. And distillation is the process that purifies the portfolio as it follows those paths — until only the convergence points remain. The business at the convergence point does not create the flow. It does not direct the flow. It collects the flow, because the structure of the system permits no other destination. And the cost of that collection is zero. The business does not pay for the growth it receives.

Visa did not create the digitalization of payments. Governments descend their own gradient — tax compliance pushes them toward cashless economies. Banks descend theirs — reducing the cost of handling physical currency pushes them toward terminals. Consumers descend theirs — convenience pushes them toward mobile wallets. Merchants descend theirs — consumer demand pushes them to accept cards. Four independent gradients, four different slopes, four different reasons — and all of them converging on Visa’s network.

MSCI did not create the shift to passive investing. Regulators demanded transparency. Pension funds needed cost-efficient allocation. Academic research demonstrated the difficulty of beating indices. ETF providers needed licensable benchmarks. Each force descends its own gradient, each for its own reason, all arriving at the same point.

S&P Global did not create the global credit economy. When a corporation issues bonds, it must obtain ratings from at least two agencies. Regulators require it. Institutional investors demand it. Every dollar of debt issued anywhere in the world pays a toll to S&P Global and to Moody’s. The dual toll is a product of structural forces that neither company engineered.

Convergence is the mental model that contains the others in this framework. The Freesurfer is a convergence point — the business at the delta. The gradient is the slope that capital follows toward convergence. The distillation is the purification that occurs along the way. The concentration that emerges in a portfolio of convergent businesses is convergence made visible in the allocation of capital. It is all the same force, observed at different scales.

And convergence is invisible. We are trained to see things falling apart — competitors attacking, margins compressing, technology disrupting. These are visible forces. Convergence operates silently. The river widens imperceptibly. The toll collects automatically. No one announces that another billion dollars of transactions has digitalized. No press release declares that another pension fund has adopted passive indexing. The forces are structural, continuous, and invisible — and that invisibility is why the market so persistently underestimates them.

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III. Convergence Concentrates

If convergence is a force, and if some businesses sit at convergence points while others do not, then a portfolio that follows the force will naturally concentrate.

Not because the investor wants concentration. Not because concentration is a strategy. But because convergence, by definition, is concentration. Multiple forces flowing to a single point. Multiple industries funnelling through a single toll. Multiple secular trends converging on a single business model.

Chris Hohn’s portfolio traces this. Over three quarters, $53.6 billion migrated in one direction: away from capital-heavy businesses — railways, aerospace — and toward information tollbooths — Visa, S&P Global, Moody’s. From Tier 3 to Tier 1. Nine positions. The top five — all convergent businesses — represent 84% of the capital.

This is not a diversification failure. It is the portfolio expression of convergence itself. When you identify the points where forces converge, there are not many of them. And the ones that exist attract all the capital, because they are structurally superior to everything else. Concentration is convergence made visible in the portfolio.

At the 2018 Berkshire meeting, an eight-year-old girl asked Buffett why Berkshire had moved from capital-efficient businesses like Coke and See’s Candies to capital-heavy ones like railroads. Munger’s reply was revealing: “She basically wants her royalty on the other fellow’s sales. And of course that’s a very good model.”

A royalty on the other fellow’s sales. That is convergence in seven words. The business does not create the sales. It collects a royalty because the structure of the system requires all the sales to pass through it. The royalty is not earned by effort. It is earned by position.

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IV. The Two Dynamics of the Dual Duration Model

The Infinite Investor (published on Averaging Up) classifies companies into three categories by the timing of their cash flows. Short-duration companies (A) — Coca-Cola, Walmart — generate cash now and return it to shareholders. They are stalwarts: permanent, predictable, but without a structural growth runway. Long-duration companies (B) — high-growth businesses — reinvest everything into the future. They have the runway but have not yet built the toll. And Dual Duration companies — Berkshire, Alphabet, Amazon — contain both engines simultaneously: they generate massive cash flows today and invest heavily in long-term growth.

A series of posts on Averaging Up — The Freesurfer, The Double Swell Freesurfer, Dual Duration Revisited — extended this framework with a lens that the book had not yet articulated: the cost of the growth engine. Within Dual Duration companies, some build their B deliberately, at great cost — acquisitions, R&D, capital allocation decisions that carry execution risk. Others receive their B for free, delivered by structural forces no one commands. This distinction — between a Dual Duration whose growth is purchased and a Dual Duration whose growth is given — revealed a sub-species: the Freesurfer. And the Freesurfer, seen through the convergence model, is not an invention. It is what convergence produces. A business where multiple independent forces deliver the growth for free is a business sitting at a convergence point. The Freesurfer is convergence incarnated in an entity — Visa, Mastercard, MSCI, S&P Global, Moody’s.

The Freesurfer’s formula is A × B, where A is the existing toll — the payment network, the index license, the credit rating — and B is a force of nature: digitalization, the shift to passive investing, the expansion of global capital markets. The business does not build the wave. It does not steer the wave. It rides the wave, and the wave delivers the growth for free. The concept and its taxonomy — Classic, Resilient, Coupled, and the Double Swell — are developed in those posts.

Most great businesses live in the mechanical model. They have excellent A — strong existing operations, durable competitive advantages, consistent cash generation. And they have real B — growth through acquisitions, R&D, geographic expansion, product development. But the B requires capital, requires decisions, and requires execution. The quality of the B depends on the quality of the people making the decisions.

Berkshire Hathaway is the most magnificent mechanical duality ever constructed. Its A is the existing operations — insurance float, BNSF, Berkshire Hathaway Energy, dozens of subsidiaries generating cash. Its B is growth through capital allocation — acquiring new businesses, deploying float, investing in equities. The A is immense. The B is immense. But the B is expensive: it requires a central allocator of extraordinary judgment, and managers at each subsidiary executing with discipline and integrity.

In February 2026, Greg Abel published his first annual letter as CEO. Every word is a testament to the cost of this model. He describes Berkshire as “a unique conglomerate, intentionally designed to allocate capital rationally and efficiently.” Intentionally designed — a human creation. Allocate capital — a human decision, repeated thousands of times. Rationally and efficiently — dependent on the quality of the person at the center.

The letter enumerates what Abel must do: evaluate every opportunity based on its potential to grow intrinsic value per share. Invest in businesses he thoroughly understands. Partner with leaders of high integrity. Serve as Chief Risk Officer. Price insurance correctly — and walk away when the price is wrong. These are not passive principles. They are acts of judgment, attention, and will. Each one is a decision. Each decision carries execution risk.

This is Berkshire’s B. It is real. It is extraordinary. And it is costly — not in dollars, but in human capital and attention. The model demands a central allocator who is awake, engaged, and excellent. The attention cost of running Berkshire is enormous, because the system is tentacular — insurance, railways, energy, manufacturing, retail, aviation, confectionery — each a front to manage, each requiring judgment.

Now consider Visa. Visa’s A is the payment network — the toll booth. Visa’s B is the digitalization of global payments — a structural force that requires no capital, no acquisition, no central allocator. A letter from Visa’s CEO would not list principles for evaluating opportunities, because Visa does not evaluate opportunities — the opportunities come to Visa, structurally, whether the CEO is awake or asleep.

Both are extraordinary businesses. Both compound wealth. But the cost of B — in capital, in execution quality, in attention — is categorically different. Berkshire’s B requires Abel to be extraordinary. Visa’s B requires its CEO to do one thing above all: not interfere.

Visa is the blueprint of convergence. The external forces of B — digitalization, regulation, consumer behavior, merchant adoption — all converge toward the A. The CEO’s role is not to direct these forces. It is to avoid disrupting them. The best thing Visa’s CEO can do is nothing that would impede the flow. And this brings us full circle to Lynch: even an idiot could not destroy Visa, because even an idiot cannot reverse the structural digitalization of the global economy. The wave is stronger than any person standing on the shore.

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V. Inverting Munger’s Backyard

Charlie Munger told the story of his friend John Anderson, who ran a used construction equipment business. Every year Anderson made a profit. And every year, that profit was sitting in the backyard — in the form of machines, trucks, and parts. To stay in business, he had to reinvest everything he earned into more equipment. There was never any cash. Munger’s verdict: “We hate that kind of a business.”

What Munger hated was the cost of B. Anderson’s business grew — but growth required capital. Every dollar of profit was recycled into the cost of staying in place. The B was real, but it was expensive. The business was a treadmill disguised as a compounder.

Now invert. Munger was the great practitioner of inversion — tell me where I’m going to die so I don’t go there. Apply the inversion to the cost of B. If you want to avoid your profits dying in the backyard, you must find businesses where B costs less. Reduce the cost of B. Reduce it further. Keep reducing it. Follow that logic to its limit — and you arrive, inevitably, at the Freesurfer.

The Freesurfer is the business where the cost of B has reached zero. Visa does not pay for the digitalization of payments. MSCI does not fund the shift to passive investing. S&P Global does not finance the expansion of global capital markets. The world builds their B for free. Every dollar of profit leaves the business as cash — not because management is disciplined, but because there is nothing to reinvest in. The backyard is empty.

Munger’s preference for asset-light businesses was the gradient. He was moving away from Anderson’s backyard — away from heavy capital, away from the treadmill. See’s Candies was better than a construction equipment business. Coca-Cola was better than See’s. But the Freesurfer is where the gradient ends. It is the logical destination of everything Munger hated turned inside out: if you invert the backyard completely, you get Visa.

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VI. From the Backyard to the Vase, or Inactivity as the Final Destination

The Vase is a metaphor for a portfolio that has reached its final form. A porcelain vase sits on a shelf. It is beautiful. It is complete. It does not need maintenance, adjustment, or improvement. But it can be damaged — and the only one who can damage it is the person who picks it up. The more you handle a vase, the more likely you drop it. The vase is safest when no one touches it.

A portfolio of convergent businesses is the same. The compounding is structural. The forces are intact. The toll collects. The only thing that can degrade the outcome is the investor’s own intervention — a trade that introduces tax friction, a rebalancing that exits a position too early, an optimization that replaces a convergent business with something inferior. Each touch is a chance to drop the vase. Hendrik Bessembinder’s research demonstrated that just 4% of all listed stocks account for the entirety of net wealth creation in the equity market. The other 96% collectively match Treasury bills. The stock market’s return distribution is not a bell curve — it is a power law, radically skewed, with enormous wealth concentrated in a vanishingly small number of businesses in the fat tail. Convergent businesses are the fat tail. They are the 4%. And the investor who owns them and does nothing is the investor who stays in the tail — where all the compounding lives. Every trade is a risk of falling out of the 4% and back into the 96%.

Different paths lead to the same shelf.

Nick Sleep was a value investor. He found three businesses he understood — Costco, Amazon, Berkshire — built positions over years, closed his fund, and stopped trading. His path was patience and deep research, applied to businesses with very different architectures. He arrived at inactivity through conviction.

Charlie Munger was an inverter. He eliminated everything he hated — complexity, leverage, dilution, the backyard — and was left with three positions: Berkshire, Costco, Li Lu’s fund. He arrived at inactivity through inversion.

Chris Hohn was a concentrated activist who followed the gradient down. He sold the backyards — railways, aerospace, capital-heavy industrials — and bought the Vases. He arrived at inactivity through the pull of the gradient itself — capital flowing from heavy B to zero B until 84% of his portfolio sat in convergent tollbooths and there was nowhere further to go.

Three investors who never collaborated, never shared a philosophy, never followed the same playbook. One destination: the shelf. The convergence framework explains why. When forces converge on a small number of businesses, and those businesses compound without requiring capital or decisions, the investor’s rational response is to own them and do nothing. Not because doing nothing is a philosophy. Because doing something would chip the vase.

Munger took the logic to its limit: “You’re just hurting yourself looking for 50 when three will suffice. Hell, one will suffice if you do it right.” One. That is convergence as a portfolio reduced to its purest expression. Multiple independent forces, flowing through a single toll, held by a single investor who does nothing. If convergence is real — if the forces are structural and the toll is permanent — then one is not reckless. One is the logical destination.

The Mountain Guide

The framework calls the investor who has reached this phase the Mountain Guide. In the early career — the Racer’s phase — speed, optimization, and decision-making produce real returns. The investor builds the portfolio, sizes positions, enters and exits. But there is a crossover point where time becomes worth more than the next trade, where the portfolio’s compounding exceeds anything a new decision could add. The Guide is the investor who has crossed that line. The Guide’s only remaining role is to watch for avalanches: is there a structural threat to the convergence? Has a regulatory shift broken the toll? Is the wave still there? These questions are asked once a year, and the answers have not changed in thirty years. The Mountain Guide is developed as a mental model in The Infinite Investor and in The Way to the Mountain Guide on Averaging Up.

Munger named the Guide’s role before the Guide existed: “The big money is not in the buying and selling, but in the waiting.” The waiting is not passive. It is the disciplined recognition that the forces are intact, that the convergence continues, and that the only risk is the investor’s own impulse to pick up the vase.

The Guide contemplates the Vase without touching it. The water descends the gradient, the tributaries converge at the delta, the toll collects, the portfolio distils to its essence — and the Guide, having arrived, does the hardest thing of all — nothing.

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“The Tao does nothing, yet nothing is left undone.”
— Lao Tzu, Tao Te Ching

 

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This post is part of the framework described in The Infinite Investor, available at averagingup.com.