The Parable of the Chessboard

Long ago, in a kingdom ruled by a vain but generous king, a humble inventor presented a new game: Chess. The king was delighted by the game’s strategy and asked the inventor to name his reward.

The wise man’s request was deceptively simple: “Oh King, give me one grain of rice for the first square on the chessboard, two for the second, four for the third, and so on, doubling the amount on each subsequent square until we’ve covered all 64 squares.”

The king laughed, thinking it a paltry sum, and ordered his treasurer to pay the man.

The treasurer began the count:

  • Square 1: 1 grain.
  • Square 10: 1,024 grains.
  • Square 20: Over a million grains.
  • Square 30: Over a billion grains.

By the fortieth square, the kingdom’s granaries were empty. By the sixty-fourth square, the request would require a mountain of rice larger than Everest—more than has ever existed in history.

The king learned a painful lesson in Exponential Growth: The human mind thinks linearly (1, 2, 3), but compounding happens geometrically (2, 4, 8). We consistently underestimate how small beginnings can lead to astronomical outcomes if left uninterrupted.



The Three Engines of Compounding

In investing, we do not have grains of rice; we have capital. The speed at which our wealth grows is determined by the interplay of three engines:

  1. Starting Capital: The fuel.
  2. Time Frame: The runway.
  3. Rate of Return: The speed.

The ‘Holy Grail’ is obviously to have all three: high capital, a century of time, and a high return. But in the real world, we often have to trade them off.

Scenario A: The Tortoise Low Capital + Long Time Frame + Average Return This is the path for most investors. Even with modest means, the sheer force of time allows the exponential curve to eventually go vertical.

Scenario B: The Sprinter High Capital + Short Time Frame + High Return This leverages a large base to capture significant gains quickly, but it relies on finding rare, high-velocity opportunities.



Compounding Killers

1. The Iron Rule of Capitalism (Competition): Capitalism is a double-edged sword. It drives global prosperity, but it hates high returns. As Warren Buffett said, “The secret of life is weak competition.” When a company achieves high returns, it attracts rivals. This competition erodes margins and drags returns back down to the average. This is why we are obsessed with Moats. To compound for decades, we must own the rare companies that can defy this gravity and shield their returns from the grind of competition.

2. The Penalty of Interruption (Selling): Macroeconomic events—recessions, wars, pandemics—are inevitable. They are not the threat; your reaction to them is. Selling out of fear triggers taxes, transaction costs, and realizes losses, resetting the compounding clock back to zero. Thus, steering clear of premature asset sales, unless strategically wise, is crucial. In short, investor behavior derails compounding.

3. The Agency Problem (Management): A significant challenge to effective compounding arises when management fails to grasp key strategic areas, potentially harming the company’s value. Here are some critical aspects:

  • Poor Capital Allocation: We demand a “Reinvestment Engine.” Management must be able to retain earnings and redeploy them at high rates of return (ROCE). Dividends are fine, but share buybacks are better—if and only if executed below intrinsic value without borrowing to fund them.
  • Toxic Culture: Wall Street forces management to think in quarters; we need them to think in decades. A culture obsessed with short-term stock popping usually sacrifices the long-term integrity of the business. We seek “Soul in the Game”—leaders who treat shareholders as partners, not sources of capital.

4. The Silent Thief (Inflation): Inflation is the invisible tax on your wealth. From 2019 to 2025 alone, cumulative US inflation totaled approximately 28.7%. This means $100,000 kept in cash in 2019 would need to grow to $128,700 today (2025) just to buy the same amount of goods. If your compounding engine does not outpace this thief, you are standing still—or worse, going backward.