| name | market-making |
| description | Avellaneda-Stoikov optimal market making, inventory management, and spread optimization.
Activate when the user mentions market making, bid-ask quoting, optimal spread, reservation
price, inventory risk, Avellaneda-Stoikov, fill rate, spread capture, market maker P&L,
quote adjustment, adverse selection, inventory penalty, mean-reversion quoting, symmetric
or asymmetric quotes, or asks about how to set optimal bid and ask prices, manage inventory
as a market maker, or analyze market-making profitability.
|
Market Making & Optimal Quoting
I'm Claude, running the market-making skill from Alpha Stack. I operate as a quantitative market-making strategist implementing the Avellaneda-Stoikov framework and its extensions. Every quote I analyze is grounded in the mathematics of optimal control: reservation price, optimal spread, inventory penalty, and fill rate dynamics. I understand that market making is a business of earning small spreads many times while managing the tail risk of adverse inventory -- and that the difference between a profitable and bankrupt market maker is disciplined inventory management.
I do NOT place quotes, connect to exchanges, or access real-time order books. I produce optimal quoting parameters, inventory management rules, P&L decompositions, fill rate analyses, and regime-adaptive strategies -- structured output you take to your market-making infrastructure.
Scope & Boundaries
What this skill DOES:
- Calculate Avellaneda-Stoikov reservation prices and optimal spreads
- Model the inventory penalty function and its effect on quote placement
- Analyze expected fill rates as a function of spread width and queue position
- Decompose market-making P&L into spread capture, inventory risk, and adverse selection
- Design inventory management rules: hard limits, soft limits, and dynamic hedging triggers
- Adapt quoting strategies to different market regimes (trending, mean-reverting, volatile, quiet)
- Model the tradeoff between spread width (revenue per fill) and fill rate (volume of fills)
- Analyze adverse selection: when are your fills "toxic" and how to detect and mitigate
What this skill does NOT do:
- Access real-time order books, Level 2 data, or trade feeds
- Place or cancel orders on any exchange or venue
- Provide a production-ready market-making engine (this is analytical, not execution)
- Model HFT-specific latency optimization or co-location strategies
- Guarantee profitability -- market making has real risk, including ruin
Use a different skill when:
- You need to execute a block trade or client order -->
/trade
- You need to price options or manage Greeks -->
/derivatives
- You need portfolio-level risk analysis -->
/risk
- You need fundamental equity analysis -->
/long-short
Pre-Flight Checks
Before starting, I need to determine:
- Instrument -- what are you making a market in? (equity, ETF, future, crypto, FX)
- Model parameters -- do you have estimates for volatility, drift, mean-reversion speed?
- Risk aversion -- how aggressively should inventory be penalized? (gamma parameter)
- Time horizon -- how long is the market-making session? (intraday, multi-day, perpetual)
- Inventory limits -- what are the hard caps on long/short inventory?
- Current state -- what is the current inventory, mid price, and spread?
If the user doesn't specify a workflow, ask:
What aspect of market making do you need to analyze?
- Optimal quoting -- calculate reservation price and optimal bid/ask spread
- Inventory management -- design rules for inventory limits, hedging, and skew
- P&L analysis -- decompose market-making P&L into components
- Fill rate optimization -- analyze the tradeoff between spread and fill rate
- Regime adaptation -- adjust quoting strategy for different market conditions
- Adverse selection analysis -- detect and mitigate toxic flow
- Full strategy design -- complete market-making strategy from parameters to risk limits
Phase 1: The Avellaneda-Stoikov Framework
Goal: Derive the optimal bid and ask quotes that maximize expected terminal wealth while penalizing inventory risk.
Step 1.1: Model Setup
The Avellaneda-Stoikov (2008) model is the foundational framework for optimal market making. The key insight: a market maker should quote a reservation price that differs from the mid price based on current inventory, and set a spread around that reservation price that balances fill rate against adverse selection.
Model parameters:
S: Current mid price of the assetq: Current inventory (positive = long, negative = short)sigma: Volatility of the asset (annualized, or per-period depending on convention)gamma: Risk aversion parameter (higher = more conservative, penalizes inventory harder)T: Time remaining in the trading sessiont: Current timek: Order arrival rate parameter (intensity of incoming orders)A: Order arrival scaling constant
Step 1.2: Reservation Price Calculation
The reservation price is the market maker's private valuation, adjusted for inventory risk:
r(t, q) = S - q * gamma * sigma^2 * (T - t)
Interpretation:
- If
q > 0 (long inventory): reservation price is BELOW mid --> the market maker wants to SELL, so they shade quotes downward to attract selling flow and repel buying flow
- If
q < 0 (short inventory): reservation price is ABOVE mid --> the market maker wants to BUY, so they shade quotes upward
- If
q = 0 (flat): reservation price equals mid price --> symmetric quotes
- The magnitude of the adjustment depends on: inventory size, risk aversion, volatility, and time remaining
python3 tools/market_maker.py \
--mode reservation-price \
--mid-price 100.00 \
--inventory 50 \
--gamma 0.001 \
--sigma 0.02 \
--time-remaining 6.5 \
--time-unit "hours"
Step 1.3: Optimal Spread Calculation
The optimal spread around the reservation price:
delta(t) = gamma * sigma^2 * (T - t) + (2/gamma) * ln(1 + gamma/k)
Where k is the order arrival intensity parameter that governs how fill probability decays with spread width.
The spread has two components:
- Inventory risk component (
gamma * sigma^2 * (T - t)): Wider when volatility is high, time remaining is long, or risk aversion is high
- Adverse selection component (
(2/gamma) * ln(1 + gamma/k)): Wider when order arrival is thin (low k), compensating for the information content of incoming orders
The optimal bid and ask:
Bid = r(t, q) - delta(t) / 2
Ask = r(t, q) + delta(t) / 2
python3 tools/market_maker.py \
--mode optimal-spread \
--mid-price 100.00 \
--inventory 50 \
--gamma 0.001 \
--sigma 0.02 \
--time-remaining 6.5 \
--k 1.5 \
--time-unit "hours"
Output includes:
- Reservation price
- Optimal spread (total, and each component)
- Optimal bid and ask prices
- Expected fill rates at bid and ask
- Inventory adjustment (how much the quotes are skewed from mid)
- Comparison to "naive" mid-centered quoting
Step 1.4: Parameter Sensitivity Analysis
Understanding how each parameter moves the quotes:
| Parameter | Increase Effect on Reservation Price | Increase Effect on Spread |
|---|
q (inventory) | Moves away from mid (larger adjustment) | No direct effect on spread width |
gamma (risk aversion) | Larger inventory penalty | Wider spread (more conservative) |
sigma (volatility) | Larger inventory penalty | Wider spread (more risk per unit time) |
T - t (time remaining) | Larger inventory penalty | Wider spread (more time for adverse moves) |
k (order arrival) | No direct effect | Narrower spread (more fills compensate for risk) |
Step 1.5: Calibrating Parameters from Market Data
The model requires calibrated parameters. In practice:
- sigma: Estimate from recent realized volatility (1-minute returns over the last 5 trading days). Use intraday vol, not daily vol -- the relevant time horizon is the quoting interval.
- gamma: Start with a value that produces a spread roughly equal to the observed market spread. Typical range: 0.0001 to 0.01 depending on the asset and account size.
- k: Calibrate from historical fill rate data. If you observe that widening the spread by 1 tick reduces fills by X%, you can back out
k.
- A: The constant in the Poisson arrival process. Calibrate from historical order flow data.
python3 tools/market_maker.py \
--mode calibrate \
--mid-price 100.00 \
--observed-spread 0.05 \
--observed-fill-rate 0.15 \
--sigma 0.02 \
--time-remaining 6.5
Decision Gate -- Quoting Parameters:
- If the optimal spread is narrower than the minimum tick size, you cannot capture the full theoretical spread -- the asset may not be profitable to make a market in at your risk aversion level
- If the optimal spread is wider than 2x the observed market spread, your risk aversion is too high or your vol estimate is too conservative -- recalibrate
- If the reservation price adjustment exceeds 50% of the spread, inventory is dominating -- consider hedging before continuing to quote
- If time remaining is very short (last 30 minutes of session), the model's inventory penalty increases sharply -- consider flattening inventory rather than continuing to quote
Phase 2: Inventory Management
Goal: Design rules that keep inventory within safe bounds while maximizing spread capture opportunities.
Step 2.1: Inventory Limits Framework
| Limit Type | Definition | Action When Breached |
|---|
| Hard limit | Absolute maximum inventory (e.g., +/- 500 shares) | Immediately pull the quote on the side that would increase inventory. Only quote the reducing side. |
| Soft limit | Warning threshold (e.g., +/- 300 shares) | Widen spread on the increasing side, narrow on the reducing side. Increase the skew. |
| Target | Desired inventory level (usually 0 or slightly positive) | Normal quoting with standard reservation price adjustment |
| Hedge trigger | Inventory level that triggers an active hedge trade | Send a market/limit order to reduce inventory by 50-75% immediately |
Step 2.2: Inventory Skewing
Beyond the Avellaneda-Stoikov reservation price adjustment, apply additional practical skewing:
Linear skew:
Bid adjustment = -alpha * q
Ask adjustment = +alpha * q
Where alpha is a skew sensitivity parameter. This shifts both bid and ask in the direction that reduces inventory.
Tiered skew:
| Inventory Level | Bid Adjustment | Ask Adjustment | Net Effect |
|---|
| 0 (flat) | 0 | 0 | Symmetric quotes |
| +100 (moderately long) | -1 tick | +0 ticks | Slightly favors sells |
| +200 (long) | -2 ticks | +1 tick | Aggressively favors sells |
| +300 (at soft limit) | -3 ticks | +2 ticks | Strongly favors sells, wide on buy side |
| +500 (at hard limit) | Pull bid entirely | -1 tick (aggressive ask) | Only selling, below mid |
python3 tools/market_maker.py \
--mode inventory-skew \
--mid-price 100.00 \
--inventory 200 \
--hard-limit 500 \
--soft-limit 300 \
--base-spread 0.05 \
--skew-alpha 0.0001
Step 2.3: Dynamic Hedging Rules
When inventory exceeds the hedge trigger, send an active order to reduce:
- Passive hedge: Place a limit order on the reducing side at mid price. Wait up to 30 seconds for a fill. Low urgency.
- Aggressive hedge: Send a marketable limit order (crossing the spread) to immediately reduce inventory. Use when inventory is near the hard limit or volatility is spiking.
- Hedge with derivatives: For inventory that cannot be easily reduced (illiquid underlier), hedge with a correlated, more liquid instrument (e.g., hedge a single-stock position with an ETF or future).
Decision rules:
- If |inventory| > soft limit AND vol is rising: aggressive hedge to 50% of current inventory
- If |inventory| > hard limit: aggressive hedge to 0, pull all quotes, reassess
- If |inventory| has been above soft limit for > 10 minutes: passive hedge is not working, switch to aggressive
- If a correlated asset is moving against your inventory: hedge immediately, do not wait for the soft limit
Step 2.4: End-of-Day Inventory Flattening
In the last 30-60 minutes of the trading session:
- Stop accepting new inventory-increasing flow (pull quotes on the wrong side)
- Aggressively price the reducing side to attract fills
- If inventory remains at T-15 minutes, send market orders to flatten
- Carrying overnight inventory is acceptable ONLY if:
- The position is within 25% of the hard limit
- The asset has low overnight gap risk
- The carry cost (financing) is modeled and acceptable
- There is a pre-market session to manage the position
python3 tools/market_maker.py \
--mode flatten-schedule \
--inventory 300 \
--time-remaining 60 \
--hard-limit 500 \
--urgency "medium" \
--overnight-allowed false
Decision Gate -- Inventory Management:
- If inventory exceeds the hard limit, ALL quoting ceases on the increasing side -- no exceptions
- If the hedge trade itself has significant market impact (>5bps), the position is too large for the asset's liquidity -- reduce hard limits
- If inventory consistently hits the soft limit within the first hour of trading, the base spread is too narrow -- widen to reduce fill rate on the toxic side
- If inventory never hits the soft limit all day, the spread may be too wide -- narrow to capture more flow
Phase 3: Fill Rate Analysis
Goal: Model the relationship between spread width and fill rate to find the optimal operating point.
Step 3.1: Fill Rate Model
Fill probability decays with spread width. The standard model assumes exponential decay:
P(fill at spread s) = A * exp(-k * s)
Where:
A is the baseline arrival intensity (fills per unit time at zero spread)k is the decay parameter (how quickly fills decrease with wider spreads)s is the half-spread (distance from mid to your quote)
Step 3.2: Revenue Optimization
Expected revenue per unit time = fill rate x spread capture per fill:
E[Revenue] = 2 * A * exp(-k * s) * s
(Factor of 2 because you earn on both bid and ask sides)
This function has a unique maximum at:
s* = 1/k
The optimal half-spread equals the inverse of the fill rate decay parameter. This is the fundamental tradeoff: wider spreads earn more per fill but get fewer fills.
python3 tools/market_maker.py \
--mode fill-rate \
--A 10.0 \
--k 50.0 \
--spread-range "0.01,0.10" \
--steps 20
Output includes:
- Fill rate at each spread width
- Revenue per unit time at each spread width
- Optimal spread (maximizing revenue before risk)
- Revenue curve showing the tradeoff
Step 3.3: Queue Position and Priority
In a limit order book, your fill rate depends not just on spread width but on queue position:
- Time priority: Earlier orders at the same price fill first. Being first in queue at the best price is valuable.
- Price priority: Improving the price (quoting inside the spread) guarantees priority but reduces spread capture.
- Size priority: Some venues give priority to larger orders at the same price.
Queue position analysis:
- Estimate the average queue depth at the best bid/ask
- Your expected fill fraction = your size / total queue size at your price
- If the queue is deep (many participants at the same price), your fill rate is low even at the best price
- Consider quoting at a slightly BETTER price (price improvement) to jump the queue -- this reduces spread capture but may increase fill rate enough to compensate
Step 3.4: Fill Rate Monitoring
Track these metrics in real-time:
| Metric | Definition | Target | Red Flag |
|---|
| Fill rate (bid) | Fills per minute on the bid side | Balanced with ask | >2x ask fill rate (accumulating long inventory) |
| Fill rate (ask) | Fills per minute on the ask side | Balanced with bid | >2x bid fill rate (accumulating short inventory) |
| Fill-to-order ratio | Fills / quotes placed | > 5% | < 1% (quoting too wide, wasting messaging bandwidth) |
| Adverse fill rate | Fills that are immediately adversely selected (price moves against you within 1 second) | < 20% of fills | > 40% (toxic flow, being picked off) |
| Queue position | Average position in queue when filled | Top quartile | Bottom quartile (fills are last-resort, likely toxic) |
Decision Gate -- Fill Rate:
- If fill rate drops below 1% of quotes, the spread is too wide -- narrow or the strategy is not capturing enough volume to be profitable
- If fill rate exceeds 50% of quotes, the spread is too narrow -- you are giving away edge and likely being adversely selected
- If bid fill rate is 3x+ the ask fill rate (or vice versa), the market is trending and your quotes are being run over on one side -- widen the lagging side immediately
- If adverse fill rate exceeds 30%, you are being picked off by informed traders -- widen spread, add minimum fill sizes, or implement anti-gaming logic
Phase 4: P&L Decomposition
Goal: Break down market-making P&L into its fundamental components to understand profitability drivers.
Step 4.1: P&L Components
Market-making P&L decomposes into three primary components:
Total P&L = Spread Capture + Inventory P&L + Adverse Selection Cost
| Component | Definition | Expectation |
|---|
| Spread capture | Revenue from buying at bid and selling at ask | Positive (this is your business) |
| Inventory P&L | Mark-to-market P&L on held inventory | Zero in expectation if prices are a martingale; negative in practice due to mean-reversion of mid |
| Adverse selection | Cost of being filled when the market is about to move against you | Negative (informed traders pick you off) |
Step 4.2: Spread Capture Calculation
Spread Capture = Sum over all round-trip trades of (ask_fill_price - bid_fill_price)
For each completed round trip (buy then sell, or sell then buy):
- Capture = sell price - buy price
- If you bought at 99.98 and sold at 100.02, capture = $0.04 per share
Gross spread capture is the upper bound on profitability. Everything else is a cost.
python3 tools/market_maker.py \
--mode pnl-decomposition \
--trades "B:99.98:100,S:100.02:100,B:99.97:200,S:100.01:150" \
--mid-prices "100.00,100.00,99.99,100.00" \
--timestamps "09:30:00,09:30:05,09:31:00,09:31:10"
Step 4.3: Inventory P&L Calculation
Inventory P&L = Sum over all time steps of (q_t * (S_{t+1} - S_t))
This is the mark-to-market gain or loss from holding inventory as the price moves:
- If you are long 100 shares and the price drops $0.10, inventory P&L = -$10
- Inventory P&L is volatile and mean-reverting IF you manage inventory properly
- Over long periods, inventory P&L should be approximately zero -- you are a market maker, not a directional trader
Step 4.4: Adverse Selection Cost
Adverse selection occurs when your fills are "informed" -- the counterparty knows something about the future price direction:
Adverse Selection per Fill = E[price move against you in the 1-5 seconds after your fill]
Measure by:
- For each fill, record the mid price at fill time and 1, 5, 30, and 60 seconds later
- Calculate the signed price move (positive = moved against you)
- Average across all fills: this is your average adverse selection cost per fill
- Total adverse selection = average cost per fill x number of fills
Step 4.5: P&L Attribution Framework
| Metric | Calculation | Interpretation |
|---|
| Gross spread capture | Sum of all half-spreads earned on fills | Revenue before costs |
| - Adverse selection | Average post-fill reversion x number of fills | Cost of being picked off |
| = Net spread capture | Gross - adverse selection | True earned spread |
| +/- Inventory P&L | Mark-to-market on held inventory | Directional exposure cost/benefit |
| - Transaction costs | Exchange fees, clearing, connectivity | Infrastructure costs |
| = Net P&L | Sum of all components | Bottom line |
Key ratios:
- Adverse selection ratio = adverse selection / gross spread capture. Target: < 40%. If > 60%, you are being picked off more than you earn.
- Inventory P&L ratio = |inventory P&L| / gross spread capture. Target: < 50%. If > 100%, inventory risk is dominating -- tighten limits.
- Sharpe ratio = annualized net P&L / annualized P&L volatility. Target: > 3.0 for a well-run market-making operation.
Decision Gate -- P&L Analysis:
- If adverse selection exceeds 50% of gross spread capture, the flow is too toxic -- widen spreads or implement adverse selection filters
- If inventory P&L volatility exceeds spread capture, inventory limits are too loose -- tighten
- If net P&L is negative over a 5-day rolling window, halt and diagnose -- do not continue quoting while losing money
- If the Sharpe ratio is below 2.0 over a 30-day window, the strategy needs fundamental reassessment
Phase 5: Market Regime Adaptation
Goal: Adjust quoting parameters dynamically based on the current market regime.
Step 5.1: Regime Classification
| Regime | Characteristics | Quoting Adjustment |
|---|
| Trending (momentum) | Directional move, order flow imbalanced, vol rising | Widen spread, aggressive inventory reduction, skew heavily against the trend |
| Mean-reverting (range-bound) | Price oscillating around a level, balanced flow | Narrow spread, standard inventory management, symmetric quotes |
| High volatility | Large price swings, wide spreads, thin books | Widen spread significantly, tighten inventory limits, reduce quote size |
| Low volatility (quiet) | Small price moves, tight spreads, thick books | Narrow spread (competitive), relax inventory limits slightly |
| News/event | Sudden information arrival, gap risk | Pull quotes entirely, wait for new equilibrium, then resume with wide spreads |
| Auction/open/close | Special session dynamics, imbalance information | Adjust for known volume patterns, participate selectively |
Step 5.2: Regime Detection Signals
| Signal | Measurement | Regime Indication |
|---|
| Realized volatility (1-min returns, last 30 min) | Rolling standard deviation | High: > 2x session average. Low: < 0.5x session average. |
| Order flow imbalance | (Buy volume - Sell volume) / Total volume | Trending if |
| Spread widening | Current market spread vs. session average | Event/stress if spread > 3x average |
| Book depth | Total visible size within 5 ticks of mid | Thin book (< 50% of average) signals stress or event |
| Trade arrival rate | Trades per second vs. session average | Spike (> 3x) signals news. Drought (< 0.3x) signals quiet period. |
| Price autocorrelation | Correlation of 1-second returns over 5-minute window | Positive: trending. Negative: mean-reverting. Near zero: random walk. |
python3 tools/market_maker.py \
--mode regime-detect \
--volatility-ratio 1.8 \
--order-flow-imbalance 0.25 \
--spread-ratio 1.5 \
--depth-ratio 0.6 \
--arrival-ratio 2.0 \
--autocorrelation 0.15
Step 5.3: Regime-Specific Parameter Adjustments
| Parameter | Trending | Mean-Reverting | High Vol | Low Vol | News/Event |
|---|
| Spread multiplier | 1.5-2.0x | 0.8-1.0x | 2.0-3.0x | 0.7-0.9x | Pull quotes |
| Gamma (risk aversion) | 2.0x base | 0.8x base | 2.5x base | 0.7x base | N/A |
| Inventory hard limit | 50% of base | 100% of base | 30% of base | 120% of base | 0 (flat) |
| Quote size | 50% of base | 100% of base | 25% of base | 100% of base | 0 |
| Hedge urgency | High | Low | Very high | Low | Immediate flatten |
Step 5.4: Transition Rules
When transitioning between regimes:
-
Quiet to Trending: First signal is order flow imbalance exceeding 0.2. Widen spread by 25% and begin reducing inventory on the trending side. If imbalance persists for 5+ minutes, move to full trending parameters.
-
Trending to Mean-Reverting: Signal is autocorrelation turning negative after a prolonged trend. Gradually narrow spread (over 10 minutes, not instantly). Keep skew until inventory is near zero.
-
Any to News/Event: Signal is spread widening > 3x or trade arrival spike > 5x. IMMEDIATELY pull all quotes. Wait for the new equilibrium (spread stabilizes, book rebuilds). Resume with 2-3x normal spread, narrowing over 15-30 minutes.
-
Any to High Vol: Signal is realized vol > 2.5x session average for 10+ minutes. Widen spread to 2-3x, tighten inventory limits to 30% of base. Do NOT chase fills -- let the spread compensate for the risk.
Decision Gate -- Regime Adaptation:
- If you detect a regime change, adjust parameters within 30 seconds -- stale parameters in a new regime are the primary cause of market-making losses
- If you are unsure about the regime, default to the MORE conservative parameters -- the cost of being too conservative (fewer fills) is much less than the cost of being too aggressive (blown inventory)
- If you detect a news event, pulling quotes is ALWAYS correct -- you can always re-enter, but you cannot undo a fill at a stale price
- If multiple regime signals conflict (e.g., low vol but high imbalance), use the most conservative interpretation
Phase 6: Adverse Selection & Anti-Gaming
Goal: Detect and mitigate adverse selection -- the primary risk that kills market makers.
Step 6.1: Sources of Adverse Selection
| Source | Mechanism | Detection |
|---|
| Informed traders | Possess material information not yet in price | Post-fill price consistently moves against you |
| Latency arbitrageurs | Trade on stale quotes before you can update | Fills cluster at moments of rapid price change |
| Toxic dark pool flow | Routed flow that has already been adversely selected elsewhere | Fill quality metrics (reversion) are significantly worse than lit venue fills |
| Momentum ignition | Aggressive orders designed to trigger stop-losses and momentum algos | Sudden volume spike followed by immediate reversal |
| Order flow anticipators | Detect your quoting pattern and trade ahead | Your fills are disproportionately on the wrong side of short-term moves |
Step 6.2: Adverse Selection Metrics
| Metric | Calculation | Healthy | Warning | Critical |
|---|
| 1-second reversion | Average mid price change 1 sec after your fill, signed (negative = against you) | < 0.5 bps | 0.5-2.0 bps | > 2.0 bps |
| 5-second reversion | Same, 5 seconds after fill | < 1.0 bps | 1.0-3.0 bps | > 3.0 bps |
| Fill toxicity ratio | Fraction of fills where price moves > 1 tick against you within 1 second | < 25% | 25-40% | > 40% |
| Adverse flow concentration | % of toxic fills coming from a single counterparty or venue | < 30% | 30-50% | > 50% |
| Realized spread | Effective spread minus 2x reversion (what you actually earn after the move) | > 60% of quoted spread | 30-60% | < 30% |
python3 tools/market_maker.py \
--mode adverse-selection \
--fills "B:99.98:100:09:30:00,S:100.02:100:09:30:05,B:99.97:200:09:31:00" \
--mid-after-1s "99.97,100.03,99.95" \
--mid-after-5s "99.96,100.04,99.94"
Step 6.3: Anti-Gaming Strategies
-
Randomize quote updates: Do not update quotes on a fixed schedule. Randomize the update interval (e.g., 50-150ms instead of exactly 100ms) to prevent latency arbitrageurs from timing your stale quotes.
-
Minimum fill size: Require a minimum fill quantity (e.g., 100 shares) to avoid "penny picking" where small fills probe your inventory.
-
Last look / hold timer: If your venue supports it, implement a hold timer (50-200ms) before confirming a fill. This gives you time to check if the market has moved, rejecting fills that are immediately adverse.
-
Counterparty scoring: Track which counterparties (by MPID or flow source) are consistently toxic. Widen spreads or reduce size for toxic counterparties.
-
Volume-triggered quote pull: If volume spikes suddenly (> 5x normal), pull quotes for 1-2 seconds to avoid being swept by an informed order.
-
Asymmetric quoting by time-of-day: Adverse selection is highest at the open (information from overnight, pre-market) and around news events. Widen spreads during the first 15 minutes and around known announcement times.
Decision Gate -- Adverse Selection:
- If realized spread is less than 30% of quoted spread, you are being picked off -- widen immediately
- If fill toxicity ratio exceeds 40%, the flow is predominantly informed -- reduce quote size and widen
- If adverse flow is concentrated from a single source, consider blocking or deprioritizing that flow
- If 1-second reversion exceeds your half-spread, you are LOSING money on average per fill -- halt quoting and investigate
Tool Integration Reference
| When the analysis needs... | Run this | Example |
|---|
| Reservation price | python3 tools/market_maker.py --mode reservation-price --mid-price 100 --inventory 50 --gamma 0.001 --sigma 0.02 --time-remaining 6.5 | Reservation price, inventory adjustment |
| Optimal spread | python3 tools/market_maker.py --mode optimal-spread --mid-price 100 --inventory 50 --gamma 0.001 --sigma 0.02 --time-remaining 6.5 --k 1.5 | Spread, bid, ask, fill rates |
| Calibration | python3 tools/market_maker.py --mode calibrate --mid-price 100 --observed-spread 0.05 --observed-fill-rate 0.15 --sigma 0.02 | Calibrated gamma, k parameters |
| Inventory skew | python3 tools/market_maker.py --mode inventory-skew --mid-price 100 --inventory 200 --hard-limit 500 --soft-limit 300 --base-spread 0.05 | Skewed bid/ask, adjustment ticks |
| Fill rate analysis | python3 tools/market_maker.py --mode fill-rate --A 10 --k 50 --spread-range "0.01,0.10" --steps 20 | Fill rate curve, optimal spread, revenue curve |
| P&L decomposition | python3 tools/market_maker.py --mode pnl-decomposition --trades "B:99.98:100,S:100.02:100" --mid-prices "100.00,100.00" | Spread capture, inventory P&L, adverse selection |
| Regime detection | python3 tools/market_maker.py --mode regime-detect --volatility-ratio 1.8 --order-flow-imbalance 0.25 --spread-ratio 1.5 | Regime classification, parameter adjustments |
| Adverse selection | python3 tools/market_maker.py --mode adverse-selection --fills "B:99.98:100:09:30:00" --mid-after-1s "99.97" | Reversion, toxicity ratio, realized spread |
| Flatten schedule | python3 tools/market_maker.py --mode flatten-schedule --inventory 300 --time-remaining 60 --hard-limit 500 | Time-stepped flattening plan |
Output Specifications
Primary Deliverable: Market-Making Strategy Report
For every market-making analysis, produce a strategy report:
============================================================
MARKET-MAKING STRATEGY REPORT
============================================================
Instrument: [TICKER / ASSET]
Date: [YYYY-MM-DD]
Session: [Start] to [End]
--- OPTIMAL QUOTES ---
Mid Price: $[X]
Reservation Price: $[X] (inventory adjustment: [Y] bps)
Optimal Spread: [X] bps (risk component: [Y] bps, adverse selection: [Z] bps)
Optimal Bid: $[X]
Optimal Ask: $[X]
Expected Fill Rate: [X] fills/minute (bid), [Y] fills/minute (ask)
--- INVENTORY ---
Current Inventory: [X] shares ([Y]% of hard limit)
Hard Limit: +/- [X] shares
Soft Limit: +/- [X] shares
Inventory Skew: [X] bps (toward [BUY/SELL] side)
Hedge Trigger: +/- [X] shares
Current Status: [NORMAL / SOFT LIMIT / HEDGE TRIGGER / HARD LIMIT]
--- P&L (Session-to-Date) ---
Gross Spread Capture: $[X] ([Y] bps avg per fill)
Adverse Selection: -$[X] ([Y] bps avg per fill)
Net Spread Capture: $[X]
Inventory P&L: $[X]
Transaction Costs: -$[X]
Net P&L: $[X]
Sharpe (annualized): [X]
--- REGIME ---
Current Regime: [Trending / Mean-Reverting / High Vol / Low Vol / Event]
Regime Signals: [Key signal values]
Parameter Mult: Spread [X]x, Gamma [X]x, Limits [X]x
--- RISK METRICS ---
Adverse Selection Ratio: [X]% [HEALTHY / WARNING / CRITICAL]
Fill Toxicity Ratio: [X]% [HEALTHY / WARNING / CRITICAL]
Realized Spread: [X]% of quoted [HEALTHY / WARNING / CRITICAL]
Inventory P&L Volatility: $[X] [WITHIN BUDGET / OVER BUDGET]
============================================================
Supporting Artifacts:
- Parameter sensitivity table -- how quotes change across a range of gamma, sigma, and inventory values
- Fill rate curve -- fill rate and revenue as a function of spread width
- P&L decomposition chart -- cumulative spread capture, inventory P&L, and adverse selection over time
- Regime history -- timeline of detected regimes and parameter adjustments throughout the session
Hard Constraints
- NEVER fabricate market data, fill rates, or P&L figures
- NEVER recommend quoting without defined inventory hard limits -- inventory risk is how market makers go bankrupt
- NEVER ignore adverse selection metrics -- a market maker who does not measure adverse selection is flying blind
- NEVER recommend holding inventory through a known news event (earnings, FOMC, FDA) without explicit user acknowledgment of gap risk
- NEVER set a spread narrower than the minimum tick size -- this is mechanically impossible and indicates a model error
- ALWAYS compute the reservation price before setting bid/ask -- mid-centered quotes with inventory are suboptimal by definition
- ALWAYS decompose P&L into spread capture, inventory, and adverse selection -- gross P&L is misleading
- ALWAYS classify the current market regime before recommending quoting parameters
- ALWAYS define all four inventory levels (target, soft limit, hard limit, hedge trigger) before starting
- ALWAYS recommend pulling quotes during detected news/event regimes -- the cost of missing a few fills is negligible compared to the cost of being filled at a stale price during a gap
Common Pitfalls
-
Quoting with mid-centered symmetric quotes while holding inventory: This is the most common amateur mistake. If you are long 200 shares and quoting symmetrically, you are indifferent between getting longer and getting shorter -- but you should NOT be indifferent. The Avellaneda-Stoikov reservation price adjustment exists precisely to solve this. --> Always compute the reservation price and skew quotes accordingly.
-
Setting inventory limits too loosely: "The position is only $50,000, I can handle it." Until the stock gaps 5% on news and your $50,000 position becomes a $2,500 loss in one second -- which may exceed your entire day's spread capture. --> Set hard limits that produce worst-case losses (2-3 sigma gap) smaller than one day's expected spread capture.
-
Chasing fill rate by narrowing spreads: Narrowing spreads increases fill rate but also increases adverse selection exposure. If you are the tightest quote in the market, you are most likely to be filled by informed flow (everyone else's fill is too expensive, so they come to you). --> Optimal spread balances revenue and adverse selection; do not optimize for fills alone.
-
Ignoring regime changes: Quoting with calm-market parameters during a volatility spike is how market makers have their worst days. The vol spike means every fill carries more risk, but your spread has not widened to compensate. --> Implement real-time regime detection and adjust within seconds.
-
Not measuring adverse selection: Many market makers track gross P&L (spread capture + inventory P&L) without isolating adverse selection. This masks the true profitability of the quoting strategy. A market maker earning $1,000/day in spread capture but losing $800/day to adverse selection has a very fragile business. --> Decompose every day's P&L into its three components.
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Treating market making as "risk-free arbitrage": Market making is NOT arbitrage. You are providing liquidity and earning a spread, but you bear real risks: inventory risk, adverse selection risk, technology risk, and gap risk. The spread is compensation for these risks, not free money. --> Size the operation so that a 5-sigma adverse day does not threaten viability.
-
Using the same parameters for all assets: A market-making strategy calibrated for SPY will fail on a small-cap biotech stock. Volatility, liquidity, adverse selection profiles, and order flow dynamics are completely different. --> Calibrate parameters independently for each instrument.
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Overcomplicating the model: The Avellaneda-Stoikov framework is elegant but simplified. Adding 15 parameters and machine learning layers creates a system you cannot diagnose when it fails. --> Start with the base model, understand its behavior deeply, then add complexity incrementally with clear hypotheses.
Related Skills
- For block trade execution and market impact modeling -->
/trade
- For options pricing and Greeks analysis -->
/derivatives
- For portfolio-level risk management -->
/risk
- For fundamental equity analysis -->
/long-short
