The mathematical collapse of China

China today faces four interconnected mathematical impossibilities: a demographic crisis in which the labor force shrinks while the number of retirees explodes; a debt dynamic in which more and more loans produce decreasing returns; Innovation restrictions despite massive research and development spending; and a critical dependence on resources amid a weakened currency.

External dependence aggravates the dilemma: China imports about 75% of the oil it consumes, 70% of soy, 80% of copper and 95% of lithium. They are strategic inputs for energy, food, infrastructure and green technology. Each growth fraction requires more resources, but to buy them, China needs dollars, and for dollars it needs to export-exactly the model that deteriorates with less cheap labor and lack of innovation.

These are not political challenges that a new leadership could solve. They are arithmetic realities that reinforce each other and that the XI Jinping regime cannot face in an orderly manner.

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Falling population growth

UN projections (UN (World Population Prospects 2024) are relentless: the Chinese fertility rate is around 1.0 – 1.1, approximately half of the necessary to keep the population stable. The total of retirees grows 20 million a year, while the workforce shrinks 10 million. In this compass, up to 2050 there will be approximately 450 million people over 65 years old for a population busy in the dramatically reduced labor market, around 700 million – creating a dependence relationship that no social security system has been designed to support. China will not be the first to achieve.

Some analysts argue that the country could compensate for this with a transition to domestic consumption, taking advantage of its 1.4 billion consumers and the rise of the middle class. But this is an arithmatically impossible hope. Aging populations tend to save, not spend. Young people without a job do not consume.

Youth unemployment is above 20% according to official data, and independent estimates suggest more than 30%. And this is not a “lazy” generation: the cause is structural – economic slowdown, collapse of the real estate sector, lack of qualified jobs.

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The “Tang Ping” phenomenon that has viralized among the young Chinese symbolizes the discouragement of a generation that grew with prosperity and does not accept to sacrifice itself without a future perspective. It literally means refusing to compete in social race. Young people disillusioned with the lack of perspectives, they choose to live with the minimum, rejecting career and consumption pressures. More than laziness, it is a portrait of generational discouragement in the face of an equation with no future.

The dilemma of the Chinese economy

Debt mathematics reinforces the impasse. According to BIS, non-financial sector debt already reaches 295% of GDP (2023 data). When including the operations of the so -called Shadow Banking and Extra Balance vehicles -companies created by local governments (local government finance Vehicles, or LGFVs) to raise resources outside the official budget -estimated leverage approaches 350% of GDP.

The nominal growth of the economy has been in the 4-5% range in recent years, while the average debt cost is around 4% per year. The result is that more and more debt is necessary to generate the same growth: today, $ 3 trillion in new debt to produce only $ 1 trillion in GDP. This dynamic of decreasing returns exposes the country to a vicious circle: the more indebted, the less efficient this indebtedness becomes.

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Innovation: Investment without return

In the field of innovation, reality is no different. Despite spending more than $ 500 billion annually on R&D, China cannot produce state -of -the -art semiconductors, competitive commercial jet engines, western equivalent vaccines or global business software. Even the 7 nanome chips produced by SMIC (Semiconductor Manufacturing International Corporation, China’s leading semiconductor manufacturer) are two generations behind global leaders.

“7 nanometers” is the measure of miniaturization of transistors: the smaller the scale, the greater the computational capacity and the lower energy consumption. In practice, however, this Chinese production depends on western equipment, occurs on low scale and at high costs.

True innovation requires open information, tolerance to failure, intellectual property protection and freedom to challenge authorities. This is precisely what the Chinese authoritarian system does not allow. The result is that creative lag increases every year, does not decrease.

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The Chinese Method for Crisis Containment

Zero-Covid was the definitive X-ray of the system. Faced with the impossibility of containing the omicron variant, Xi Jinping doubled the bet instead of adapting the strategy.

Cities with more than 25 million inhabitants were locked because of isolated cases. The economy was paralyzed by a virus already domesticated by vaccines in the rest of the world. Then, in December 2022, the total reversal came overnight, without preparation or transition. Hospitals collapsed, millions were infected at the same time, and countless deaths were unregistered. The pattern is clear: denial, repetition of error, panic and chaotic reversal. If you could not adapt to a virus, how will it adapt to a demographic and debt crisis?

Some say that authoritarian regimes have the advantage of decisive action: Restructuring debts immediately, relocating millions of people, suppressing dissent. But each solution of this type creates new problems. Forcing mass displacements generates resentments that last generations. Closing whole sectors destroys entrepreneurs’ confidence. Restructuring debts without a rule of law implodes the capital market. Authoritarianism does not solve crises: amplifies errors.

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Defenders of the Chinese model also resort to the example of Japan, which has managed to cross three decades of collapse demographic decline, supported by democracy, alliance with the United States, state -of -the -art technology and solid institutions. But the comparison is not sustained. Japan had escape valves: citizens could vote, protest, emigrate. Democracy has damaged stagnation. China does not have these valves. When stagnant growth, the Communist Party will lose its only source of legitimacy: the tacit pact “we deliver growth, you get quiet.” Authoritarian systems cannot manage decline peacefully because they cannot admit failure. As with Gorbachev, any attempt to correct the course would risk opening the crack that implodes the regime.

Even though internal arithmetic is already unsustainable, external factors can accelerate the outcome. Among them, American pressure, with increasingly harsh and increasing financial restrictions. It is no coincidence that this siege intensified precisely when China’s structural weaknesses became more evident. Trump, with his erratic style, inaugurated tariffs and sanctions that shuffled Beijing’s plans. The American Establishment – Intelligence, Diplomacy and Defense – seems aware that this is the ideal time to accelerate pressure and test the boundaries of the Chinese model. And Taiwan can be, for China, what Afghanistan went to the Soviet Union: a shortcut for definitive wear, accelerating collapse rather than preventing it.

In my assessment, the most likely scenario is a systemic crisis between 2027 and 2035, with 60% chance. This is not an exact statistical probability, but an estimate based on trend chain. I also attribute 25% to a Japanese stagnation with Chinese characteristics, supported by total repression, but unlikely politically and 15% to an external conflict such as distraction (Taiwan or the South Sea), expedient historically associated with accelerated collapses.

No serious analysis would be complete without recognizing uncertainties. Dynamics can take 20 years instead of 5 or 10. Disruptive technological advances such as artificial intelligence or nuclear fusion could completely alter the equation.

Chinese cultural resilience, underestimated in the West, can prolong the trajectory. And the possibility of China cannot be discarded to find an alternative and unpredictable model that escapes our categories. But despite the uncertainties, the conclusion is clear. China faces mathematical impossibilities that reinforce each other.

Zero-Covid has already shown the typical sequence: denial, repetition of error, panic and chaotic reversal. When the demographic and debt crisis becomes undeniable, we will see the same cycle, but on a larger scale.

For Brazil, this represents both risk and opportunity. In commodities, China will continue to buy, but with less bargaining power. In industry, part of the manufacture that leaves China can come here. In the geopolitical board, you will need to choose the winning side.

For investors, the recommendation is to reduce exposure to China and expand positions in countries such as the United States, India and Vietnam.

Arithmetic has no ideology. It does not bow to authority. And in the end, always wins.

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