Bid-Ask Spreads: Quoted, Effective, and Realized Metrics

Bid-Ask Spreads: Quoted, Effective, and Realized Metrics

In financial markets, the difference between the price a buyer is willing to pay and the price a seller is willing to accept is known as the bid-ask spread. This gap represents a fundamental cost of trading and serves as a key indicator of market liquidity. While many traders view the spread as a single number, analysts use different types of spreads to distinguish between posted prices, actual execution costs, and the true cost of immediate liquidity.

Key Facts

The Quoted Spread

The quoted spread is the most basic form of the bid-ask spread. It is derived directly from posted quotes: the difference between the lowest asking price (the lowest price a seller will accept) and the highest bid price (the highest price a buyer will pay). To make this figure comparable across different assets, it is often expressed as a percentage of the midpoint, which is the average of the lowest ask and highest bid.

The formula for the quoted spread is: Quoted Spread = ((Ask − Bid) / Midpoint) × 100

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The Effective Spread

In practice, the quoted spread often overstates the actual cost paid by traders. This happens due to price improvement, also known as "trading inside the spread," where a dealer provides a price more favorable than the public quotes. The effective spread corrects this by using actual trade prices rather than posted quotes.

The effective spread is calculated as: Effective Spread = 2 × (|Trade Price − Midpoint| / Midpoint) × 100

Measuring the effective spread is more complex than the quoted spread because it requires matching specific trades with their corresponding quotes and accounting for reporting delays. Additionally, this metric assumes that trades occurring above the midpoint are buys and those below the midpoint are sales.

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The Realized Spread

While quoted and effective spreads measure the total cost incurred by a trader, that cost is actually composed of two different elements: the cost of asymmetric information (losses incurred by less-informed traders) and the cost of immediacy (the fee for having a trade executed immediately by an intermediary).

The realized spread is designed to isolate the cost of immediacy, often called the "real cost." It accounts for the fact that dealers adjust their quotes after a trade to reflect new information or inventory changes. For the kth trade, the formula is: Realized Spreadk = 2 × (|Midpointk+1 − Traded Pricek| / Midpointk) × 100

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Comparison of Spread Types

Comparison of Bid-Ask Spread Metrics
Spread Type Basis of Calculation What it Measures Key Characteristic
Quoted Posted Ask and Bid Publicly stated cost Simplest to calculate
Effective Actual Trade Price Actual cost paid Accounts for price improvement
Realized Trade Price vs. Future Midpoint Cost of immediacy Isolates the "real cost"

Frequently Asked Questions

What is the difference between the quoted and effective spread?

The quoted spread is based on the posted prices seen on a quote screen, while the effective spread is based on the actual price at which a trade was executed. The effective spread is usually lower because it accounts for price improvement.

What does "trading inside the spread" mean?

Trading inside the spread occurs when a dealer offers a price that is better than the current quoted bid and ask prices, effectively reducing the cost for the trader.

Why is the realized spread considered the "real cost"?

The realized spread is considered the real cost because it removes the impact of asymmetric information. By looking at the midpoint price after the trade (Midpointk+1), it isolates the payment made for the immediacy of the transaction.

What is the midpoint in the context of spreads?

The midpoint is the mathematical average between the lowest asking price and the highest bid price available in the market.

How does asymmetric information affect trading costs?

Asymmetric information creates a cost for traders who are less informed than the market maker or other participants, which is bundled into the effective spread but removed when calculating the realized spread.

References

  1. "Spreads – definition". Riskglossary.com. Archived from the original on 2012-08-15. Retrieved 2019-04-24.
  2. Demsetz, H. 1968. "The Cost of Transacting." Quarterly Journal of Economics 82: 33–53 [1] doi:10.2307/1882244 JSTOR 1882244
  3. Lee, Charles M. C. (July 1993). "Market Integration and Price Execution for NYSE-Listed Securities". The Journal of Finance. 48 (3): 1009–1038. doi:10.2307/2329024. ISSN 0022-1082. JSTOR 2329024.
  4. Lee, Charles M. C.; Ready, Mark J. (June 1991). "Inferring Trade Direction from Intraday Data". The Journal of Finance. 46 (2): 733. doi:10.2307/2328845. ISSN 0022-1082. JSTOR 2328845.
  5. Huang, Roger D.; Stoll, Hans R. (July 1996). "Dealer versus auction markets: A paired comparison of execution costs on NASDAQ and the NYSE". Journal of Financial Economics. 41 (3): 313–357. doi:10.1016/0304-405x(95)00867-e. ISSN 0304-405X.