Free lesson · Prediction strategies
Quoting revenue and adverse selection
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Start with the idea
A market maker can earn the spread yet lose money when informed traders choose when to trade against stale quotes.
Symbols, units & horizon
- N: expected completed share pairs
- s: spread captured USD per pair
- ℓ: expected adverse-selection/inventory loss USD per pair under the specified marking horizon
- c: fees USD per pair
- E[Π]: expected USD profit
When and why to use this
Evaluate whether quoting compensation covers information risk and costs rather than counting the displayed spread.
A market maker can earn the spread yet lose money when informed traders choose when to trade against stale quotes.
Separate round-trip spread capture from inventory revaluation. The completion of a buy and a sell at favorable prices can generate revenue, while an unfinished inventory position remains exposed to event information.
A simple expected-spread worksheet subtracts expected adverse movement and fees. It omits queue priority, cancellations and partial fills; these belong in the next execution model. Inventory limits should apply to actual holdings and live orders.
Quoting revenue and adverse selection
- Measure average achieved sale-minus-purchase spread per completed pair.
- Estimate adverse marking loss on the same event and time convention.
- Subtract per-pair costs and multiply by completed pairs, keeping unfinished inventory separate.
100 completed pairs, captured spread $.04, adverse loss $.025 and fees $.005: net expectation 100×.01=$1.
Apply it in a strategy
- Evaluate whether quoting compensation covers information risk and costs rather than counting the displayed spread.
- Record the input timestamp, executable quantity, currency and horizon. Reconcile the result with a cash-flow or state table.
- Stress this failure condition: Completed-pair selection can omit the worst stranded inventory; contemporaneous mark choice can hide adverse selection.
Research deliverable
Build and explain a quoting revenue and adverse selection worksheet. Evaluate whether quoting compensation covers information risk and costs rather than counting the displayed spread.
Evidence boundary: Synthetic arithmetic and scenarios illustrate mechanics. They are not historical returns, a paper replication, or evidence of an executable edge. Research sources and their access limitations are recorded at the end of this module.
Python implementation
Self-contained teaching example. Python 3.10+; dependencies and input conventions are shown in the code and notation. Run in your own Python environment.
# Python 3.10+; standard library unless NumPy is imported below.
# Inputs and outputs use the units defined in this lesson. Synthetic teaching example.
def maker_expectancy(pairs,spread,adverse,fees):
if min(pairs,adverse,fees)<0: raise ValueError("Invalid cost inputs")
return pairs*(spread-adverse-fees)
print(maker_expectancy(100,.04,.025,.005))Continue learning
Prediction Strategies: Logic, Sizing and Market Making — all lessons- Complete-set purchases and redemption
- Subset relations and executable bounds
- Bounds for joint and union events
- Binary Kelly sizing and estimation error
- Decision buffers for probability uncertainty
- Quoting revenue and adverse selection
- Event overlap and portfolio variance
- Evaluate the decision process, including failed fills
Quantitative finance and development glossary · Python resources and libraries · Research sources and limitations