Quant Memo
Core

Procyclical Haircuts and the Collateral Multiplier

A repo haircut sets how much you can borrow against a bond, and its inverse sets how much leverage you can run on it — so when haircuts rise in a downturn, leverage is cut automatically, forcing exactly the asset sales that make the downturn worse.

Prerequisites: Haircuts and Collateral Management, Collateral Transformation and Upgrade Trades

A repo haircut looks like a small technical number — a bond worth $100 might only get you $98 in cash, a 2% haircut. But that 2% is doing more work than it looks like: its inverse is the maximum leverage a trader can run by rolling that repo over and over, and haircuts don't stay fixed. They move with market volatility, and the direction they move in makes financial stress self-reinforcing.

Leverage from repo financing is roughly 1/h1/h, where hh is the haircut. A small haircut allows enormous leverage; when volatility rises and haircuts widen, that leverage is cut mechanically and immediately — forcing deleveraging exactly when markets are already under stress.

From haircut to leverage

If a bond can be repo'd at a 2% haircut, an investor can post $2 of equity and borrow $98 of the remaining value, financing a position of $100 — that's leverage of 1/0.02=501/0.02 = 50. If the haircut rises to 10%, the same $2 of equity can only support a position of $20, since 1/0.10=101/0.10 = 10. Nothing happened to the investor's own capital; the maximum position they can carry fell by 80% purely because the haircut moved.

leverage haircut 50x @ 2% 10x @ 10%
Leverage falls sharply as haircuts rise even a little — the relationship $1/h$ is steepest exactly where haircuts start out low.

Why haircuts rise precisely when you don't want them to

Dealers set haircuts based on how volatile and illiquid they expect a collateral type to be over the time it would take to liquidate it after a default. In calm markets, volatility is low and haircuts shrink toward their floor. In stress, expected volatility jumps, and dealers widen haircuts to protect themselves — which is individually rational for each dealer but collectively forces every levered holder of that collateral to either post more margin or sell part of the position. Selling into an already-falling, already-stressed market pushes prices down further, which increases realized volatility, which justifies wider haircuts still. This feedback loop is the core mechanism behind procyclicality in secured funding markets, and it was a central driver of the shadow-banking runs of 2007–08.

Worked example

A fund holds $500 million of a structured credit bond, financed at a 4% haircut (leverage ~25x), with $20 million of its own equity. Volatility spikes; the dealer raises the haircut to 20%. The fund's maximum financeable position at $20 million equity is now 20/0.20=10020 / 0.20 = 100, i.e. $100 million, versus its actual $500 million holding. It must either find $80 million of fresh equity or sell $400 million of the bond immediately — into a market where every other levered holder is doing the same thing at once.

Rising haircuts are often described as dealers "tightening lending standards," which makes it sound like a deliberate policy choice. Mechanically it is closer to an automatic stabilizer running in the wrong direction: no single dealer is trying to cause a fire sale, but the aggregate effect of everyone repricing risk the same way at the same time is exactly that.

Related concepts

Practice in interviews

Further reading

  • Gorton & Metrick, 'Securitized Banking and the Run on Repo'
  • Adrian & Shin, 'Liquidity and Leverage'
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