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Why borrowed money magnifies returns — and why it magnifies ruin

June 26, 2026 · 5 min

David Sterling & Megan Skiendel

Lehman Brothers ran 31-to-1 leverage in 2008, meaning a 3% drop in asset value wiped out all equity. Financial leverage amplifies returns when asset ROI exceeds borrowing cost, but the same multiplier destroys equity the moment that spread inverts — and margin calls force sales that accelerate the collapse.

Financial leverage is the practice of using borrowed capital to increase the potential return on an investor's own equity. The core mechanism relies on a spread: when the return on invested capital exceeds the cost of borrowing, the surplus accrues entirely to equity holders, amplifying their effective return.

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About this episode

Leverage is one of those financial concepts that sounds like a tool and behaves like a trap. This episode works through exactly why — starting with the clean arithmetic of how borrowed money amplifies returns, and ending somewhere much darker: the systemic collapses that arithmetic made inevitable. The math itself is straightforward. When the return on your assets exceeds the cost of your debt, leverage multiplies your gains. But the moment that spread inverts — when asset returns fall below interest costs — the same multiplier starts destroying equity, fast. Lehman Brothers at 31-to-1 needed only a 3% decline in asset value to be mathematically insolvent. What the episode digs into is the gap between formula and reality. Margin calls don't wait. Forced sellers in a falling market push prices lower, triggering more margin calls, more forced selling — the fire sale spiral that took LTCM down in 1998 and lit China's equity market on fire in 2015. And then there's the harder problem: the leverage you can't see. Archegos Capital's synthetic positions — total return swaps, off-balance-sheet instruments — weren't visible to the brokers collecting fees on the relationship until the collapse was already underway. Every major systemic event the episode examines was institutional, not retail. Which raises an uncomfortable question about what financial regulation is actually measuring.

Frequently asked

How does financial leverage amplify returns?

Financial leverage amplifies returns through the spread between asset ROI and borrowing cost. Example: a $100 asset funded with $50 equity and $50 debt at 5% interest, earning 10%, produces a 15% return on equity — because ROE equals ROI plus the spread (ROI minus interest rate) multiplied by the debt-to-equity ratio.

What leverage ratio did Lehman Brothers have when it collapsed?

Lehman Brothers was running a 31-to-1 leverage ratio at its collapse in 2008 — $31 of assets for every $1 of equity. That meant a mere 3% decline in asset value was mathematically sufficient to wipe out all of Lehman's equity entirely.

How did LTCM collapse and how much did it lose?

Long-Term Capital Management (LTCM) lost nearly 90% of its capital between January and September 1998 — nine months. Extreme leverage combined with falling asset prices triggered margin calls, forcing fire sales that drove prices lower and triggered further margin calls. The Federal Reserve coordinated a private-sector rescue to prevent global contagion.

What caused the Archegos Capital collapse in 2021?

Archegos Capital collapsed in 2021 because its leverage was hidden in total return swaps — off-balance-sheet derivatives invisible on conventional balance sheets. Prime brokers including Goldman Sachs, Morgan Stanley, and Nomura could not see Archegos's full exposure, and when margin calls arrived, forced liquidations cascaded before counterparties understood their risk.

What is a margin call and how does it trigger a market spiral?

A margin call requires a leveraged investor to immediately post cash or collateral, or have positions forcibly liquidated. When many investors face margin calls simultaneously, forced selling pushes asset prices lower, which reduces collateral values and triggers further margin calls — a self-reinforcing fire sale spiral seen in LTCM, the 2015 China crash, and Archegos.

Grounded in 12 sources
GGD-00-3 Long-Term Capital Management: Regulators Need to Focus Greater Attention on Systemic Risk · fcic-static.law.stanford.edu
What drives Austrian banking subsidiaries’ return on equity in CESEE and how does it compare to their cost of equity? · semanticscholar.org
Financial Innovation, Leverage, Bubbles and the Distribution of Income · semanticscholar.org
[PDF] TRV Risk - Leverage and derivatives – the case of Archegos · esma.europa.eu
Leverage & Margin Call – 365 Financial Analyst · 365financialanalyst.com
[PDF] Leverage, Forced Asset Sales, and Market Stability - GOV.UK · assets.publishing.service.gov.uk
As markets turn volatile, leverage is back in the spotlight - Atlantic Council · atlanticcouncil.org
Notes on · bancaditalia.it
What Is Financial Leverage in Trading? | Britannica Money · britannica.com
Archegos Capital Collapse: Market Mechanics Explained | EBC Financial Group · ebc.com
Bankruptcy of Lehman Brothers · en.wikipedia.org
Leverage (finance) - Wikipedia · en.wikipedia.org
Read transcript

Megan Skiendel: Archegos Capital collapsed in 2021. A family office. Gone in days. And the wild part — Goldman Sachs, Morgan Stanley, Nomura — none of them actually knew how exposed they were. That's where I want to start.

David Sterling: And why didn't they know?

Megan Skiendel: Because the leverage was synthetic. Total return swaps — derivatives. Nothing on a conventional balance sheet. The brokers were measuring the wrong thing entirely.

David Sterling: Right. Which is the leverage story at its core. Here's the intuition — buy a house with ten percent down. House rises ten percent, you've doubled your equity. House falls ten percent, you're wiped. Same mechanism, opposite direction. Perfect symmetry.

Megan Skiendel: And that's — honestly, that's what this whole episode is. Leverage is not a dial. It's a trap with a very elegant face.

David Sterling: Until the spread inverts.

David Sterling: Walk through the actual math. You've got a hundred dollars invested — fifty equity, fifty debt at five percent. The asset earns ten percent. That's ten dollars. Interest costs you two-fifty. Net profit: seven-fifty on fifty dollars of equity. That's fifteen percent ROE on a ten percent asset return. The formula is ROE equals ROI plus the spread — ROI minus i — times the debt-to-equity ratio. The spread is doing the work.

Megan Skiendel: And that looks like genius.

David Sterling: It is genius — until ROI drops below i. Then the spread inverts, and that same multiplier, the D/E ratio, is now destroying equity. Not slowing gains. Destroying. Lehman Brothers was running 31-to-1. Thirty-one dollars of assets per dollar of equity. Meaning a three-percent drop in asset value — wipes them out entirely. Mathematically.

Megan Skiendel: Thirty-one to one. And nobody — wait, I mean nobody internally flagged that as the threshold?

David Sterling: That's the problem. The threshold isn't a fixed number you can flag. It's wherever the spread inverts. And the ROI on the assets is falling in real time because margin calls are forcing sales into a falling market. You're not watching a dial. You've already lost the dial.

Megan Skiendel: The formula is perfectly symmetrical. The behavior around it is not. Nobody is running ROE calculations when the margin calls are arriving. They're just selling what they can sell.

Megan Skiendel: And that's the margin call mechanism, right? You don't get to wait. The broker demands cash or collateral now, and if you can't post it, they liquidate your position. You're a forced seller. And when everyone is forced at once —

David Sterling: Prices crater. Which triggers more margin calls. Which forces more selling. That's the fire sale spiral.

Megan Skiendel: LTCM. That's the textbook version of exactly this, and honestly it still shocks me when I think about the scale — nearly ninety percent of their capital, gone between January and September 1998. Nine months.

David Sterling: And the Federal Reserve didn't bail them out directly. They coordinated a private-sector rescue — because liquidating those positions fast would have cascaded globally. The leverage was systemic, not just catastrophic for the fund.

Megan Skiendel: Megan Skiendel: China 2015 is the one that stands out. Forty percent of market value. One month. And the mechanism was identical — margin lending, margin calls, forced selling driving prices down, triggering more margin calls. They literally compared it to 1929.

David Sterling: Which brings us back to Archegos. The synthetic leverage question. If the prime brokers couldn't see the total return swap positions — or wait, did they see them and just —

Megan Skiendel: That's what I want to know. Because Archegos was generating enormous fees. And look, I've seen this before — you rationalize the exposure because the client is profitable. The math didn't change. The visibility did. Or maybe the willingness to look.

David Sterling: Well, that's the question that doesn't resolve. ESMA capped retail CFD leverage at 1:30. Fine. But LTCM, Lehman, Archegos — every systemic event, institutional. Every single one. So if you're a regulator and ninety percent of the damage originates where your rules don't reach — I mean, what exactly are you regulating?

Megan Skiendel: Honestly, it's regulatory theater at that point. And the harder version of that question — the one that actually keeps me up — it's not the leverage you can see on a balance sheet. It's the total return swaps, the off-balance-sheet instruments, the positions that don't surface until the margin calls are already arriving. By the time anyone outside the fund knows the position exists, the fire sale has started.

David Sterling: The next crisis will be located somewhere a regulator isn't measuring. That's — I think that's the only prediction worth making. And I'm not sure what you do with that.

Why borrowed money magnifies returns — and why it magnifies ruin · Onpode