The reason a payout that needs new deposits has a shape
When returns are paid from incoming deposits rather than real earnings, the scheme has a recognisable shape: it must grow to survive and collapses when inflow slows.
Filed by The Archivist 2 min read
Intuition test — answer before you read on
Why does a return funded by new deposits have a predictable failure shape?
Correct answer: A
Option B praises exactly the structure that fails. Option C invents a disclosure requirement. Option A identifies the Ponzi shape: liabilities compound on fresh principal, collapsing when recruitment slows.
A protocol paid consistent, attractive returns that did not correspond to any external revenue. On inspection, today’s payouts were funded by yesterday’s new deposits. This arrangement has a mathematical shape: it can pay early participants only by recruiting later ones, its obligations grow faster than any real yield could support, and it collapses the moment new inflow slows below the payout rate. The returns were real to those who exited early and impossible for the system to honour in full.
What everyone sees
A participant sees others receiving steady payouts and reads proof that the returns are real: people are visibly being paid. Withdrawals by early entrants function as testimonials. The participant infers sustainability from the observed payments, without asking the one diagnostic question — where does the money come from — and so cannot see that the payments are funded by entrants like himself.
What is actually happening
A scheme paying returns from new deposits rather than earnings is a Ponzi structure, and economists describe its invariant shape: liabilities compound while the only inflow is fresh principal, so it requires ever-accelerating recruitment and is mathematically certain to fail. The visible payouts are not evidence of yield; they are the mechanism of persuasion, transferring later deposits to earlier ones until inflow falters and the structure unwinds, leaving the last entrants with the loss.
Why it stays hidden
The hidden mechanism is the sourcing of returns from principal disguised as income. Because a withdrawal looks identical whether funded by earnings or by the next deposit, the participant cannot distinguish a real yield from a redistribution. The shape — growth-dependent, revenue-free, collapse-bound — is invisible in any single payout and only appears in the flows, which are exactly what the display never shows.
If payouts come from new deposits, the shape is fixed: grow or die. The returns are real until the inflow stops.
If payouts come from new deposits, the shape is fixed: grow or die. The returns are real until the inflow stops.
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If payouts come from new deposits, the shape is fixed: grow or die. The returns are real until the inflow stops.
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Sources & further reading 2
- Artzrouni — The Mathematics of Ponzi Schemes (2009)
- Aramonte, Huang & Schrimpf — DeFi Risks and the Decentralisation Illusion (BIS, 2021)
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