Yield Illusions Entry #0914 Classified Declassified

The reason auto-compounding shows a number nobody receives

A compounded rate assumes rewards are reinvested continuously and frictionlessly forever, producing a peak figure no real depositor, facing fees and exits, ever collects.

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Plate 814 — The compounded peak that lived only in the formula

Intuition test — answer before you read on

Why does an advertised auto-compounded rate overstate what depositors actually earn?

A vault advertised a compounded annual figure far above its simple rate. The compounding assumed rewards were harvested and reinvested continuously, with no gas cost, no slippage, no price change, and the depositor never withdrawing, for a full year at a constant rate. No real depositor meets those conditions. The compounded number was a mathematical ceiling computed under idealised assumptions, displayed as though it were an expected outcome. The figure existed only in the formula.

What everyone sees

A depositor sees the large compounded figure and reads it as what compounding will earn them: the magic of reinvestment made concrete. The number is presented as an achievable rate. The depositor assumes the compounding happens automatically and costlessly as advertised, and does not discount for the fees, price moves and early exits that separate the idealised formula from any real position.

What is actually happening

Compounded rates depend on frequency, cost and constancy assumptions, and the advertised figure typically assumes the most favourable of each: infinite frequency, zero cost, fixed rate, full-year hold. Finance research on return reporting shows compounded projections diverge sharply from realised returns once real frictions apply, especially in high-cost, high-turnover environments. The displayed number is the upper bound of a distribution whose realistic centre is far lower, presented without the assumptions that inflate it.

Why it stays hidden

The hidden mechanism is the display of an idealised ceiling as a central expectation. Compounding is real, but its advertised magnitude rests on frictionless assumptions no depositor satisfies. By showing the peak figure and omitting the conditions required to reach it, the vault lets the depositor treat a best-case mathematical bound as a forecast, and the gap between the formula and the wallet stays offscreen.

A compounded rate is a frictionless ceiling. It assumes costless, constant reinvestment forever — conditions no wallet meets.

A compounded rate is a frictionless ceiling. It assumes costless, constant reinvestment forever — conditions no wallet meets.

The hidden part — entry #0914

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A compounded rate is a frictionless ceiling. It assumes costless, constant reinvestment forever — conditions no wallet meets.

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Sources & further reading 2
  1. Bodie, Kane & Marcus — Investments (2014)
  2. Cong, Li & Wang — Tokenomics: Dynamic Adoption and Valuation (2021)

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