Core Path · L1.1.07

Market liquidity

10 minMarketsLiquidity risk

Know these first

By the end you will be able to

  1. 1Explain what market depth and liquidity are, and why liquidity vanishes in stress.
  2. 2Describe liquidity by its spread, depth and resilience.
  3. 3Calculate the cost of selling a position against the mid price.
  4. 4Tell market liquidity apart from funding liquidity.

Why it matters

A house is worth what someone will pay for it. But if you must sell by Friday, it is worth what the one buyer around on Friday will pay. Every asset has that Friday price. Liquidity is the gap between the two.

Core explanation

Easy to sell, until it is not

An asset is liquid if you can sell a meaningful amount of it quickly, cheaply and close to the current price. That is market liquidity. A bank deposit is perfectly liquid. Shares in a large company are very liquid on a normal day. A building, a private company or a work of art can take months to sell, and the price you get depends on who happens to be looking.

The order book from L1.1.06 lets us see liquidity directly. It has three dimensions:

Tightness

How narrow is the spread? This is the cost of a small trade.

Depth

How many shares wait near the price? This decides the cost of a large trade.

Resilience

How fast does the book refill after a big trade?

A small order only pays half the spread. A large one walks down the book, level by level, and pays more for every level it uses. The extra is its price impact. In a deep market the levels are thick and close together, so impact is small. In a thin market the levels are thin and far apart.

Here is the same share on two days. On the calm day, 38,000 shares are bid within 0.5% of the mid and the spread is 0.10%. On the stress day, only 300 are, and the spread is 1.00%:

SpreadSpread % of midShares bid within 0.5% of mid
Calm day€0.040.10%38,000
Stress day€0.401.00%300

Why liquidity vanishes in stress

Liquidity is not a fixed property of an asset. It depends on people being willing to trade, and in a crisis they stop. Market makers face bigger price swings, so they quote wider and smaller, or not at all. Meanwhile many holders need to sell the same things at the same time. The result can feed on itself. Step through the loop.

Step throughThe liquidity spiral

1 / 6

1

Prices fall

Bad news hits. Prices of risky assets drop, and funds holding them show losses.

Step 2 shows a second kind of liquidity. Funding liquidity is a firm's ability to pay what it owes on time. A firm that runs short of funding liquidity must sell assets, and then depends on their market liquidity. The two kinds of shortage drive each other, which is why crises spread so fast.

Sort itUsually more liquid, or less?

0 of 6 right

Think about a normal day and a typical holding.

  1. US Treasury bills.

  2. A commercial office building in Frankfurt.

  3. Shares in a company in the S&P 500 index.

  4. A bond issued by a mid-sized company ten years ago.

  5. Euros against US dollars.

  6. A stake in a private, unlisted company.

The formal version

We measure the cost of a trade against the mid price mm before the trade. In L1.1.06 a market order of qq shares paid an average price pˉ\bar p. For a sale, start from the plain statement and fill it in one line at a time:

cost=value at the mid−cash received=q×m−q×pˉ=q×(m−pˉ)\begin{aligned} \text{cost} &= \text{value at the mid} - \text{cash received} \\ &= q \times m - q \times \bar p \\ &= q \times (m - \bar p) \end{aligned}

As a percentage, divide by the value at the mid: (m−pˉ)/m×100(m - \bar p) / m \times 100. For a purchase, swap the sign: q×(pˉ−m)q \times (\bar p - m). The cost has two parts: half the spread, paid on even the smallest trade, and price impact on top.

Conventions

Prices in euros per share. Market orders, no fees or taxes. Both books are illustrative, built to show the shape of a calm and a stressed market, not taken from a real share.

Try it

Sell the same number of shares into each book. Start at 5,000, then push the slider to the end. On the stress day, look at how many price levels you need, and what happens near 10,000.

Try itSell into a calm book and a stressed one

Open the percentage calculator →

Calm day

Mid before
€40.00
Average price
€39.974
Price levels used
2
Cost against mid
€130 (0.065%)

Stress day

Mid before
€40.00
Average price
€39.168
Price levels used
6
Cost against mid
€4,160 (2.08%)
Price you get as you sell moreEach step is one price level of buyers. The dashed line is your order size.
38.038.539.039.540.002.5k5k7.5k10k

Worked example

Selling 5,000 shares on two days

A fund must sell 5,000 shares at market. Both days start with a mid of €40.00. Try each step before revealing it.

Calm day against stress day

Step 1 of 5
  1. 1

    Calm day: walk the book

    2,000 at €39.98, 3,000 at €39.97. Cash received: €199,870.00. Average price €39.974.

Regulatory lens · looking ahead

Under Basel III, banks must meet a Liquidity Coverage Ratio (LCR): enough high-quality liquid assets to survive 30 days of stress, with less liquid assets counted at a discount. The LCR, and how funds manage redemptions when their assets are hard to sell, return in later levels on liquidity risk.

Sparks

SparkThe Flash Crash
On 6 May 2010, US share prices plunged and rebounded within about half an hour; the Dow Jones index fell nearly 1,000 points intraday. As buyers vanished from the books, some shares traded for a cent, while others printed at absurdly high prices. The joint SEC and CFTC report traced how a large sell order met a market whose liquidity had evaporated.
SparkWhen pension funds had to sell gilts
In late September 2022, UK government bond yields jumped after the government's fiscal plans. Pension funds using leveraged liability-driven investment (LDI) strategies faced collateral calls and had to sell gilts, pushing prices down further: a liquidity spiral. On 28 September the Bank of England stepped in with temporary purchases of long-dated gilts.

Key takeaways

  • Market liquidity is the ability to trade a meaningful amount quickly, cheaply and close to the current price.
  • Look at tightness (spread), depth (orders near the price) and resilience (how fast the book refills).
  • The cost of a sale against the mid is shares × (mid − average price): half the spread plus price impact.
  • Liquidity vanishes in stress: dealers step back and forced sellers all move the same way, which can become a spiral.
  • Funding liquidity is the ability to pay what you owe; running short of it forces sales that test market liquidity.

Reaction

Check what stuck

Question 1 · objective 3

A share is quoted 9.95 bid, 10.05 ask. You sell 1,000 shares at the bid. How much did you give up against the mid price, in $?

$

Question 2 · objective 3

The bids are 1,000 shares at 20.00 and 1,000 at 19.90. You sell 1,500 shares at market. What is your average price, to two decimal places?

Question 3 · objective 2

What does the depth of a market measure?

Question 4 · objective 1

Why does liquidity tend to vanish in a market crisis?

Question 5 · objective 4

A fund owns plenty of shares but cannot pay a margin call due today. Which kind of liquidity has it run short of?

Glossary

Market liquidity
How quickly and cheaply you can buy or sell a meaningful amount without moving the price much.
Tightness
How small the bid-ask spread is: the cost of a small round trip.
Depth
How many shares are waiting to trade near the current price.
Resilience
How quickly new orders arrive to refill the book after a large trade.
Price impact
How far a trade moves the price against the trader as it uses up the book.
Funding liquidity
A firm's ability to pay what it owes when due, by holding cash or being able to borrow it.
Margin
Collateral a trader must post against a position; if prices move against it, it must post more (a margin call).
Fire sale
Selling assets quickly at depressed prices because you must, not because you want to.
Liquidity spiral
A loop in which falling prices force selling, which drains liquidity and pushes prices down further.

Deep Dives & Origins

Deep Dives

  • Brunnermeier, M. K. and Pedersen, L. H., “Market Liquidity and Funding Liquidity”, Review of Financial Studies, 22(6), 2009. Advanced.
  • Bank of England, Financial Stability Report, December 2022, on the LDI episode. Intermediate.

Origins

  • Kyle, A. S., “Continuous Auctions and Insider Trading”, Econometrica, 53(6), 1985 (tightness, depth and resiliency).
  • Brunnermeier, M. K. and Pedersen, L. H., “Market Liquidity and Funding Liquidity”, Review of Financial Studies, 2009.
  • US SEC and CFTC, Findings Regarding the Market Events of May 6, 2010, 30 September 2010.
  • Basel Committee on Banking Supervision, Basel III: The Liquidity Coverage Ratio and liquidity risk monitoring tools, January 2013.

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