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Why borrowed money magnifies returns and risk symmetrically in financial markets

June 22, 2026 · 5 min

Alex Mercer & Jordan Hale

At 30-to-1 leverage, a 3% asset decline wipes out all equity — the math that makes borrowed money a clean return amplifier also strips away decision-making control the moment a position falls below a broker's maintenance threshold, turning a symmetric formula into a one-sided structural trap.

Financial leverage is the use of borrowed capital to control a larger investment position than one's own equity would allow, with the effect of multiplying both gains and losses proportionally.

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About this episode

Financial leverage is the use of borrowed capital to control a larger investment position than one's own equity would allow, with the effect of multiplying both gains and losses proportionally.

Frequently asked

How does leverage amplify both gains and losses in investing?

Financial leverage amplifies returns because borrowed capital controls a larger position than equity alone permits. With $100 of equity and $100 borrowed to control a $200 asset, a 10% asset gain produces a 20% return on equity — and a 10% decline produces a 20% loss. The ratio is mathematically symmetric on paper.

What is a margin call and why does it remove investor control?

A margin call occurs when a leveraged position falls below a broker's maintenance threshold, triggering forced liquidation without the investor's consent. The broker lends money against holdings as collateral and can sell those holdings immediately. This means the lender, not the investor, controls the downside decision — a constraint built into margin borrowing from the start.

How did Archegos Capital collapse and what role did hidden leverage play?

Archegos Capital used total return swaps to build roughly a $160 billion concentrated position that was off-balance-sheet and invisible to outside observers. Each prime broker individually believed it was hedged, but all were exposed to the same hidden concentration. When positions fell, the hidden shared exposure meant no individual broker had the full picture, and the structure collapsed.

Do negative market shocks produce more volatility than positive ones under leverage?

Research on Asian markets during COVID found that negative shocks produce disproportionately more volatility than equivalent positive shocks — a pattern consistent with how leverage behaves in practice. Margin calls, spiking borrowing costs, and forced liquidations during drawdowns mean the downside of leverage is structurally more disruptive than the upside is beneficial.

Why did pre-2008 investment banks fail with only small asset declines?

Pre-2008 investment banks operating at 30-to-1 leverage needed only a 3% asset decline to theoretically wipe out all equity. At that ratio, borrowing costs and forced liquidation mechanics — always present but invisible in calm markets — left no buffer against even modest drawdowns, which is why small price moves produced catastrophic institutional failures.

Grounded in 12 sources
Institutional Differences, Crisis Shocks, and Volatility Structure: A By-Window EGARCH/TGARCH Analysis of ASEAN Stock Markets · arxiv.org
fcic_final_report_full.pdf · fcic-static.law.stanford.edu
Capital Investment, Equity Returns, and Aggregate Dynamics in Oligopolistic Production Economies · doi.org
Understanding Margin Trading: Benefits, Risks, and Key Insights · investopedia.com
[PDF] Financial Volatility and The Leverage Effect - DiVA portal · diva-portal.org
How Futures Margin Works | Charles Schwab · schwab.com
[PDF] The Financial Stability Implications of Leverage in Non-Bank ... · fsb.org
Equity beta, asset beta and financial leverage | The Footnotes Analyst · footnotesanalyst.com
The Myth of Volatility Drag (Part 2) · rpc.cfainstitute.org
Leveraged ETFs: The Hidden Costs of Volatility Drag - Aptus Capital Advisors · aptuscapitaladvisors.com
The Iron Law of Volatility Drag - Mutiny Fund · mutinyfund.com
The “Rebalance Drag” Myth in Leveraged ETFs - Return Stacked · returnstacked.com
Read transcript

Jordan Hale: You know what number I can't stop thinking about? A 3% drop. That's it. That's all it took — theoretically — to wipe out an entire investment bank running 30-to-1 leverage before 2008. Like, my savings account loses more than that to inflation and I don't even notice.

Alex Mercer: That's basically the whole episode in one sentence, yeah.

Jordan Hale: But I want to make sure we actually land what leverage is first, because I think — like, I use that word and I'm not sure everyone hears the same thing.

Alex Mercer: It's using borrowed capital to control a position bigger than your own equity allows. Simple version: $100 of your money, $100 borrowed, you control a $200 asset. The borrowing didn't change what the asset does — it changed what the asset does to you.

Jordan Hale: So if the house — wait, you've used this analogy before, right — if the $200 house drops 10%, you haven't lost 10%. You've lost 20% of everything you put in.

Alex Mercer: And gained 20% on a 10% rise. That's the symmetry. On paper, it's a clean amplifier — same ratio up as down. So the question worth sitting with is: if the math really is that symmetric, why do the blowups look so catastrophic compared to the wins?

Jordan Hale: Okay but that's the thing — like, I think most people stop at the amplifier explanation and feel like they get it. But I have this image of someone with a $50k brokerage account, margin turned on, it's a Tuesday morning, and a position just dropped 15%. And the math says 'proportional loss,' but what actually happens is — the broker's already calling.

Alex Mercer: The margin call. Yeah, that's where the symmetry breaks down in practice.

Jordan Hale: And it's not like you get to wait it out, right? You don't get to say 'I believe in this position, give me a week.' The broker lends you money against your holdings as collateral, interest is accruing, and the second you fall below the maintenance threshold — that's it, they can liquidate. You don't decide.

Alex Mercer: That's the part I'd push on. Because if you run the actual numbers — $100 equity, $100 debt, 10% asset decline — you're down 20% on equity, minus the borrowing cost on top. The math is symmetric on paper. But you've also just surrendered your optionality. The lender owns your downside decision now, not you.

Jordan Hale: Wait, so the margin call isn't like — I always assumed it was this external shock, but you're saying it's actually built into how margin borrowing works from day one?

Alex Mercer: Basically, yes. It's not a surprise clause. The leverage is invisible until a drawdown arrives — positions look fine in calm markets — but the forced liquidation mechanic was always there. The asymmetry isn't a bug that showed up Tuesday morning. It was structural.

Jordan Hale: And that's what makes Archegos so — like, wait, no, let me back up — because Archegos is the version of that where the structural part gets buried so deep nobody can even see it.

Alex Mercer: Total return swaps. That's the mechanism. You get full economic exposure to an asset's return without actually owning it — so it's off-balance-sheet, invisible to anyone looking at your books.

Jordan Hale: Which means Bill Hwang built a $160 billion concentrated position and the prime brokers — each one individually thought they were hedged. But they were all exposed to the same hidden concentration. Nobody had the full picture.

Alex Mercer: That's the part Modigliani-Miller can't touch. MM formalizes leverage as a clean structural variable — levered firm, higher equity volatility, predictable relationship. But it assumes you can actually see the leverage.

Jordan Hale: Which — Archegos made that assumption false.

Alex Mercer: And Greensill the same year, different structure — underlying receivables turned out to be dubious, so the asset valuation itself was opaque. Two 2021 collapses, same root problem: hidden leverage breaking assumptions the theory requires to even function.

Jordan Hale: So the asymmetry — it wasn't introduced by the crisis. It was always sitting there inside the instrument. The EGARCH research on Asian markets during COVID found the same thing, right? Negative shocks just... produce disproportionately more volatility than equivalent positive ones.

Alex Mercer: Right, and that's — I think that's the thing I can't fully resolve. Because if margin calls, forced liquidations, borrowing costs that spike exactly when you're bleeding — if all of that is baked into the leverage mechanism from day one, then saying 'leverage is symmetric until external triggers break it' is maybe the most dangerous half-truth in finance. You're not describing a neutral tool that gets corrupted. You're describing a structure that was always going to do this.

Jordan Hale: And every institution that collapsed — Archegos, Greensill — they knew the math. Like, they had the numbers.

Alex Mercer: Is there actually a leverage scenario where an institution survives a serious drawdown without getting forced into the cascade? And does anyone genuinely plan for that — I mean really plan, not just stress-test on a spreadsheet? Because the structure seems almost designed to ensure that when it matters most, you don't get to choose.