Every trading system in this knowledge base is tested on prices. Every one of them is paid in fills. The difference between the two is execution cost: the bid–ask spread, the market impact of the trader's own orders, fees and rebates, and what the price did while the order was waiting. For a long-term investor it is a rounding error. For a high-turnover system it is often the whole edge (08; Appendix A of the main book computes cost drag by turnover). The rules that decide where an order goes are set in the United States by the SEC's Regulation NMS, adopted in June 2005 and fully phased in by October 2007 (SEC releases). The minimum price increment is set by decimal pricing, completed for exchange-listed stocks and options on 29 Jan 2001 and for Nasdaq on 9 Apr 2001 (SEC). The venues are now numerous. The SEC's staff counted 18 US options exchanges operating as of April 2026, with IEX Options and a second MEMX options venue expected (SEC staff paper, Apr 2026; Cboe). They cleared a record ~15.2bn options contracts in 2025 (OCC; Shared facts). Retail orders mostly do not reach an exchange first. In 2022 brokers sent more than 90% of marketable retail orders in US-listed stocks to six wholesalers, with Citadel Securities taking the largest share, ~41% (Congressional Research Service, Feb 2024, citing SEC data). The wholesalers pay brokers for that flow, and retail options orders earn brokers the most: Robinhood reported $314m of options transaction revenue in Q4 2025 against $94m from equities (company release, 10 Feb 2026). The SEC's 2022 proposals to force retail orders into auctions (the Order Competition Rule) and to create a federal best-execution rule (Regulation Best Execution) were formally withdrawn in June 2025 (SEC withdrawal notice; law-firm summaries). Above all of this sits the physics of liquidity. Across markets and decades, the price impact of a large order grows roughly with the square root of its size relative to volume, not in proportion to it (Almgren, Thum, Hauptmann and Li, Risk, 2005; Tóth et al., Physical Review X, 2011). This section explains order books, spreads and the NBBO, order types, maker–taker fees and payment for order flow, options auctions and the US options exchanges, market impact and the square-root law, implementation shortfall, dark pools and tick sizes. The companion worked example prices a stylized order of 2% of a stock's daily volume executed four different ways.
What the study covers
- 1Overview: the price you see and the price you get
- 2Units and definitions
- 3The order book and the spread
- 4Regulation NMS and the NBBO
- 5Order types
- 6Fees, rebates and payment for order flow
- 7The US options market structure
- 8Market impact and the square-root law
- 9Slippage and implementation shortfall
- 10Dark pools and off-exchange trading
- 11Decimalisation, tick sizes and their effects
- 12Europe and the rest
- 13How to read execution claims
- 14Key numbers
- 15Landmark firms and cases
- 16Pitfalls
- 17How an expert thinks about it
- 18Glossary
Technical exhibits
Worked examples, checklists and case studies included with this study.
Implementation Shortfall 2pct Adv Worked Example
A stylized buy order for 100,000 shares of a $50 stock trading 5m shares a day. It is executed as an immediate sweep, over the first hour, over a morning and over the full day, and the example computes spread, square-root impact, drift from a decaying signal, timing risk, a 20,000-path simulation, a decomposition against the decision price, and the cost of not finishing (computed in Python)
Companies in this study
- Citadel Securities
- Virtu Financial
- Jane Street
- Hudson River Trading
- Susquehanna International Group
- Robinhood
- Charles Schwab and thinkorswim
- Interactive Brokers
- Cboe Global Markets
- CME Group
- Options Clearing Corporation
- Knight Capital
- Wolverine Trading
- PEAK6
- Optiver
- IMC Trading
- Flow Traders
- Eurex / Deutsche Börse
- Euronext and LIFFE. Exchanges as businesses are covered in Finance: 07 Exchanges and Market Infrastructure.