
Simulating Bid-Ask Spreads: The Market Maker's Fantasy
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Simulating Bid-Ask Spreads: The Market Maker's Fantasy
The art and science of market making play a crucial role in ensuring market liquidity and smooth trading.
Author: arnaud710
Translation: Block unicorn

Market Makers: The Illusion of Behind-the-Scenes Heroes
Market makers are the unsung heroes ensuring smooth trading, functioning like stage managers on a financial trading floor—maintaining market liquidity and seamless transactions while balancing countless factors to preserve stability. Building an efficient market-making system is akin to engineering a high-performance car—every component must operate perfectly to deliver top-tier performance.
What Is Market Making?
At its core, market making provides liquidity to financial markets by continuously quoting bid and ask prices for securities, enabling trading opportunities. Market makers profit from the bid-ask spread—the difference between the buying and selling price. Think of them as friendly local shopkeepers who always have goods in stock and are willing to buy back items, ensuring neither buyers nor sellers leave empty-handed.
The Bid-Ask Spread: Core of Market Making

The bid-ask spread is key to market maker profitability—it must cover both the risks and costs associated with holding inventory and facilitating trades, while also determining how attractive the market maker appears to traders.
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Wider spreads: Offer higher potential profits but may deter traders seeking tighter pricing.
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Narrower spreads: Attract more trading volume but result in lower margins.
The goal is finding a "sweet spot"—if the spread is too wide, your inventory won't move; if it's too narrow, your earnings dwindle. A well-calibrated spread allows market makers to cover costs while remaining competitive.
Inventory Holding Cost (IHCi): The Art of Balance

Market makers hold inventories of securities to facilitate trading
Costs of holding inventory stem from two main sources:
1. Opportunity cost of capital
Holding inventory ties up capital that could otherwise be invested elsewhere. The higher the security’s price, the larger the required spread to offset this cost. This is similar to premium products requiring higher pricing due to greater resource input during production.
2. Risk from price volatility
Markets are highly volatile—price movements can lead to losses. If prices move against their position, market makers face losses. To hedge this risk, they often widen spreads, creating a buffer against adverse price moves.
This approach captures the interplay among security price, volatility, and holding duration, ensuring the premium adjusts dynamically with market conditions.
Adverse Selection Cost (ASCi): Protecting Against Informed Traders

Adverse selection occurs when traders possess superior information about a security’s future price movement—information the market maker lacks. To protect against potential losses from such informed traders, market makers adjust their spreads accordingly.
For example: If someone knows a stock is about to surge, they might buy at the ask price. If the expected rise doesn’t materialize, the market maker could suffer significant losses. By incorporating ASCi into the spread, market makers mitigate risks arising from information asymmetry.
Probability of Informed Trading (P_I): Assessing Risk
Evaluating the likelihood of facing informed traders is complex, requiring analysis of patterns and market data to detect whether trades are based on privileged information. Factors such as trading frequency, volume, and historical price trends all influence this assessment.
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Higher P_I: Indicates greater adverse selection risk, prompting market makers to widen spreads.
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Lower P_I: Suggests reduced risk, allowing narrower spreads and encouraging more trading activity.

Competitive Proxy (H′): Measuring Market Competition
Competition among market makers influences spread width—greater competition typically leads to tighter spreads, as market makers strive to attract order flow. H′ can be calculated based on the concentration of market-making activity for a specific security:
Formula: H′ = Vi / X
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Vi: Trading volume contributed by a specific market maker.
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X: Total trading volume.
A higher H′ value indicates less competition and greater concentration, potentially leading to wider spreads; conversely, intense competition tends to compress spreads.
Understanding Core Market-Making Principles Through Analogies
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Opportunity cost: Imagine your capital is your best salesperson. If you assign them to make low-return cold calls instead of pursuing high-value deals, you’re missing out on major profits. Efficient capital allocation ensures your “top performers” focus on high-yield tasks, enabling wider spreads and higher returns.
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Volatility: Picture volatility as someone bouncing unpredictably on a trampoline—you never know the height or direction of the next jump. Market makers must stay steady, avoiding being thrown off balance by erratic price swings.
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Adverse selection: Adverse selection is like attending a football match where some spectators secretly know the outcome. Market makers must carefully set spreads to avoid being manipulated by these crafty "insiders" and falling into their traps.

Building a complete market-making system is far more complex
In summary, the art and science of market making play a crucial role in ensuring market liquidity and smooth trading. Constructing an efficient market-making system is a sophisticated blend of technical expertise and strategic precision, requiring rapid adaptation to ever-changing market dynamics.
Through meticulous operation, market makers ensure financial markets remain liquid and efficient, providing critical support for the stable development of the entire market ecosystem.
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