📈 economics

Capital without Capacity? Claimant congestion, capitalization ceilings, and the public-value boundary in state-owned mining: a calibrated application to Codelco

This paper introduces "claimant congestion" as a mechanism linking financing structures to productive performance in state-owned mining, using a calibrated model of Codelco (2009–2025) to demonstrate that while minority capitalization can enhance governance, it creates a finite public-value boundary where excessive leverage or unmanaged stakeholder claims reduce net public returns, thereby supporting staged capitalization and ring-fenced project equity as optimal strategies.

Original authors: Juan J. Segura

Published 2026-08-14

📖 7 min read🧠 Deep dive

CC BY 4.0

Original authors: Juan J. Segura

Original paper licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). ✨ This is an AI-generated explanation of the paper below. It is not written or endorsed by the authors. For technical accuracy, refer to the original paper. Read full disclaimer

Imagine a giant, ancient tree that produces the most delicious fruit in the world. This tree belongs to a whole village (the public), but it's getting old, its roots are deep in hard rock, and the fruit is getting smaller and harder to find. The village needs to spend a fortune to dig new tunnels, fix the machinery, and keep the tree alive for the next generation. But here's the tricky part: the village also needs to pay for schools, roads, and salaries right now.

This is the classic problem of "state-owned mining." It's a balancing act between saving the tree for the future and feeding the village today. Usually, people think the solution is simple: sell a piece of the tree to outside investors. This brings in cash and forces the village to be more honest and efficient. But this paper asks a sneaky question: What if selling that piece actually makes the tree less productive? What if inviting too many new people to the table creates a traffic jam where everyone is shouting for their share of the fruit, leaving no energy to actually pick it?

The paper explores a concept called "claimant congestion." Think of it like a crowded party. If you invite a few extra guests, the party is fun. But if you invite too many, the music stops, the food runs out, and everyone spends all their time arguing over who gets the last slice of pizza instead of dancing. In this story, the "guests" are not just investors; they are creditors, employees, the government, and communities, all demanding a piece of the mining company's profits. The paper suggests that when these demands get too loud and too numerous, the company gets paralyzed. It can't make quick decisions, it can't focus on the hard work of digging, and eventually, it produces less fruit, even though it has more money in the bank.

The Story of Codelco and the "Too Many Cooks" Problem

This paper dives deep into the story of Codelco, Chile's massive state-owned copper mining company, to see if this "crowded party" theory holds up in real life. The author built a complex computer model—a digital twin of the company—to simulate what happens when you try to raise money by selling different types of shares. They didn't just look at the bank account; they looked at how the company's brain (its ability to make decisions) and its muscles (its ability to build mines) react to new demands.

Here is what they found, using the language of our fruit-tree party:

1. The "Invisible Ceiling"
The biggest surprise is that there is a limit to how much money a company like Codelco can safely raise, even if the market is willing to give it more. The author calls this a "capitalization ceiling." It's not a law written by the government; it's a soft wall created by the company's own ability to handle the pressure.

The Finding: If Codelco raises too much money at once, the "public value" (the good it does for the country) actually starts to drop.
The Numbers: In their simulations, raising about US$7.92 billion in common stock (the main type of share) was the sweet spot. Going beyond that, the extra money started to cause more trouble than it solved. For other types of shares, like "preferred" shares (which get paid first but don't get to vote), the limit was even lower, around US$4.17 billion.

2. The "Traffic Jam" of Demands
The paper argues that the problem isn't just that the company has too many bills to pay. It's that every new investor brings a new set of rules and demands.

The Analogy: Imagine the company is a construction crew. If you hire one new foreman, they bring new tools and help. But if you hire ten new foremen, they all start arguing about which wall to build first. They spend all their time in meetings, and the actual brick-laying stops.
The Reality: The author found that when the company sells shares to the public, it doesn't just get cash; it gets "claimant congestion." This means the company becomes slower and less efficient at turning cash into actual mines. The more people demanding a say, the harder it is to get things done.

3. The "Ring-Fence" Trick
So, how do you get money without the traffic jam? The paper suggests a clever trick: "Project Ring-Fencing."

The Idea: Instead of selling a piece of the whole company (which is like selling a slice of the entire fruit tree), sell a piece of just one specific project (like selling a slice of just one branch).
The Result: This works best if the project is truly separate. If the project shares too much equipment or knowledge with the rest of the company, the "traffic jam" spreads anyway. The simulations showed that if a project is well-separated, selling shares for just that project could raise about US$6.25 billion before hitting the wall. This is better than selling the whole company because it keeps the "noise" contained to just that one branch.

4. What Codelco Actually Did (The Evidence)
The author looked at Codelco's real history from 2009 to 2025.

The Data: During this time, Codelco spent a staggering US$58.1 billion on investment. They also increased their debt by US$19.6 billion.
The Paradox: Despite all that spending, copper production actually dropped by 19.8%, and the quality of the rock (the "grade") got worse by 25.9%.
The Twist: However, when you adjust for the fact that the rock was worse, the company actually processed more ore (an 8.2% increase). This proves they weren't just wasting money; they were working incredibly hard just to stay in the same place, fighting against nature and a crowded "party" of demands.

5. The "Safe Zone" and the "Danger Zone"
The paper runs 800 different simulations to see how sure they can be.

The Safe Zone: If Codelco raises a small amount, say US$3 billion, almost every simulation says it's a good idea. The company can handle it.
The Danger Zone: If they try to raise US$7 billion or more, the odds get risky. For "preferred" shares, there's only a 4.8% chance that raising that much is still a good idea. For the main "common" shares, there's still a 78.8% chance it's okay, but the risk is rising.
The Conclusion: The author suggests a "staged" approach. Don't try to raise the whole mountain of money at once. Raise a little bit, check if the company is still efficient, and then raise a little more.

What the Paper Says "No" To
It's important to know what this paper doesn't say.

It does not say that Codelco should be fully privatized (sold off completely).
It does not say that the company is failing because it is not working. The data shows they are working hard.
It does not say that selling shares is bad. In fact, the simulations show that selling a little bit of shares is very good. It only becomes bad when you sell too much or the wrong kind of shares.
It does not claim that the company's computer model is a crystal ball. The author is careful to say these are "simulations" based on the best data they have, not absolute predictions of the future.

The Final Takeaway
The paper concludes that money isn't magic. You can't just pour cash into a company and expect it to work better forever. There is a "public-value boundary"—a point where the benefits of having more money are outweighed by the chaos of having too many people demanding a piece of the pie.

For a company like Codelco, the best path isn't a single giant sale. It's a careful, step-by-step dance: keep the main control in the hands of the state, sell small, separate pieces of specific projects to experts, and always watch the "traffic jam" of demands. If they do this, they can keep the fruit tree alive and feeding the village for generations. If they don't, they might find themselves with a full bank account but an empty orchard.

Technical Summary: Capital without Capacity? Claimant congestion, capitalization ceilings, and the public-value boundary in state-owned mining

1. Problem Statement
State-owned mining enterprises face a fundamental intertemporal tension: they must finance long-lived replacement and expansion projects while simultaneously satisfying claims from a diverse set of actors (the Treasury, creditors, employees, contractors, communities, and minority investors) on the same mineral surplus. While partial listing or mixed ownership is often proposed as a solution to improve governance and access capital, it introduces a bundle of new rights and claims that may not merely supplement existing stakeholders but actively compete with them.

The paper identifies a specific mechanism, termed claimant congestion, which links financing structure to productive performance. This occurs when the effective stock of enforceable or politically persistent claims grows relative to the structural residual rent available after operations, maintenance, and financing. High congestion reduces the corporation's flexibility to sequence projects, retain windfalls, absorb shocks, and transmit adverse information, thereby lowering the efficiency with which capital expenditure is converted into functioning productive capacity. The central question is whether an issuance raises enterprise value while simultaneously lowering public value, and if so, where the "public-value boundary" lies.

2. Methodology
The paper employs a calibrated dynamic model of a hybrid organization, combining analytical derivation with numerical simulation applied to Codelco (Chile's state-owned copper miner) for the period 2009–2025.

Theoretical Framework: The model treats the public corporation as a system of five state variables: effective productive capital ( $K$ ), financial liabilities ( $D$ ), organized claimant pressure ( $E$ ), bridging organizational cohesion ( $A$ ), and execution capability ( $X$ ). It integrates structural-demographic theory (where organized claims are endogenous to expected rents) with public-value theory (where value includes geological, strategic, and intergenerational benefits beyond distributable profit).
Dynamic System: The system is defined by differential equations governing production ( $Q$ ), operating cash generation ( $C$ ), structural residual rent ( $R$ ), investment ( $I$ ), and the evolution of cohesion and capability. Crucially, capital conversion efficiency ( $\eta$ ) is modeled as a function of cohesion, capability, and claimant congestion ( $\zeta = E/(R+\epsilon)$ ).
Public-Value Multiplier: The author derives an exact local public-value multiplier ( $M_j$ ) using the implicit function theorem. This multiplier separates the direct financial effect of an issuance from the "shadow value" of its effects on the entire feedback system (capital, debt, claimant pressure, cohesion, and execution).
Calibration and Simulation: The model is calibrated to Codelco's restated financial and operational data (2009–2025), normalizing variables by 2025 EBITDA. The study evaluates four financing instruments: parent common equity, preferred equity, project equity, and a layered package.
Robustness and Stability Checks:
- Mechanism Ablation: Four nested models (M0–M3) isolate specific mechanisms (financial rights, organizational absorption, claimant entry, and full feedback) to determine which creates the capitalization boundary.
- Equilibrium Continuation: Post-issuance equilibria are continued from zero to three times 2025 EBITDA (~US$20 billion) to check for bifurcations (fold or Hopf) by analyzing residuals, spectral abscissae, and Jacobian singular values.
- Uncertainty Analysis: An 800-draw probabilistic analysis replaces point estimates with distributions to assess the probability that the marginal public-value multiplier remains positive at various transaction scales.

3. Key Contributions

Claimant Congestion Mechanism: The paper formalizes claimant congestion not as a synonym for stakeholder diversity, but as a ratio of enforceable claims to residual rent that endogenously reduces capital-conversion efficiency and execution capability.
Public-Value Inversion: It establishes a condition where an issuance increases enterprise value (due to cash injection or risk reduction) but decreases public value (due to the surrender of residual rights, rigid distributions, or strategic losses).
Endogenous Capitalization Ceilings: The paper demonstrates that a capitalization ceiling is an interior optimum defined by the marginal public-value multiplier crossing zero, rather than a statutory limit or a market inability to raise funds. This ceiling is state-dependent and non-linear.
Instrument-Selection Boundary: It derives a boundary condition for choosing between financing instruments (e.g., project equity vs. parent equity) based on project separability, claimant loading, and interface costs, rather than assuming a fixed hierarchy of instruments.
Stability vs. Value: The analysis distinguishes between dynamic stability (the system not collapsing) and public-value maximization, showing that the public-value boundary can be crossed while the operating equilibrium remains locally stable.

4. Key Results

Codelco Context (2009–2025): Despite US$58.1 billion in investment and a US$19.6 billion increase in net debt, Codelco experienced a 19.8% decline in production and a 25.9% decline in average ore grade. However, a grade-adjusted throughput proxy increased by 8.2%, indicating that investment was largely reproductive (compensating for geological deterioration) rather than expansionary.
Capitalization Ceilings: In the benchmark calibration, all instruments show diminishing marginal returns.
- Parent Common Equity: Ceiling at ~US$7.71 billion (1.156x EBITDA).
- Preferred Equity: Lowest ceiling at ~US$4.50 billion due to rigid recurring distributions.
- Project/ Layered Equity: Ceilings at ~US$6.25–6.66 billion, provided project separability is sufficiently high.
Mechanism Ablation Findings:
- M1 (Absorption/Overload): Organizational absorption limits create finite boundaries even without claimant entry.
- M2 (Claimant Entry): Direct claimant entry compresses boundaries further.
- M3 (Full Feedback): Governance-mediated feedback can reposition boundaries outward, showing that credible governance can discipline incumbent claims and improve capital conversion.
Stability Analysis: The equilibrium continuation shows no fold or Hopf bifurcations up to ~US$20 billion. The public-value ceiling is a smooth inversion, not a sudden stability loss.
Probabilistic Outcomes: Under 800 uncertainty draws, the median public-value-maximizing scales are US$7.92 billion (parent equity), US$4.17 billion (preferred), and US$6.25 billion (project/layered). At a transaction scale of ~US$5 billion, the probability of positive marginal public value remains high (>90%) for parent, project, and layered packages, but drops to 32.8% for preferred equity.

5. Significance and Claims
The paper claims to shift the analytical unit of mixed ownership from the percentage of privatization to the public-value multiplier of the rights issued. It argues that the "capitalization problem" is a design challenge where every instrument supplies cash but creates a distinct bundle of rights that affects the organization's capacity to transform expenditure into mines.

The significance lies in demonstrating that:

Capital has an institutional marginal product: This product is uncertain but measurable as a probability distribution.
Governance is not a binary prerequisite: While better governance raises the value of a transaction, it does not abolish the diminishing returns or the existence of a capitalization ceiling.
Stability is not sufficiency: A state-owned enterprise can remain dynamically stable while crossing the public-value boundary, meaning that financial and operational stability do not guarantee that the next unit of capitalization creates public value.
Policy Implication: The optimal strategy is a layered, contingent architecture: separating strategic mineral patrimony from tradable claims, using the narrowest instrument capable of carrying specific risks (e.g., project equity for separable assets), and staging capitalization based on verified conversion efficiency and the probability of positive marginal public value.

The paper concludes that the Codelco case supports a constrained interpretation where the corporation has used large capital amounts to reproduce capacity under worsening conditions, and that future financing must be designed to avoid the "extraction-rescue cycle" by explicitly managing the rights and claims attached to new capital.

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