Paper: arXiv 2312.05943
Abstract
This paper explores the utility of agent-based simulations in realistically modelling market structures and sheds light on the nuances of optimal dealer strategies. It underscores the contrast between conclusions drawn from probabilistic modelling and agent-based simulations, but also highlights the importance of employing a realistic test bed to analyse intricate dynamics. This is achieved by extending the agent-based model for auction markets by \cite{“Chiarella.2008”} to include liquidity providers. By constantly and passively quoting, the dealers influence their own wealth but also have ramifications on the market as a whole and the other participating agents. Through synthetic market simulations, the optimal behaviour of different dealer strategies and their consequences on market dynamics are examined. The analysis reveals that dealers exhibiting greater risk aversion tend to yield better performance outcomes. The choice of quote sizes by dealers is strategy-dependent: one strategy demonstrates enhanced performance with larger quote sizes, whereas the other strategy show a better results with smaller ones. Increasing quote size shows positive influence on the market in terms of volatility and kurtosis with both dealer strategies. However, the impact stemming from larger risk aversion is mixed. While one of the dealer strategies shows no discernible effect, the other strategy results in mixed outcomes, encompassing both positive and negative effects.
Complexity vs Empirical Score
- Math Complexity: 7.0/10
- Empirical Rigor: 4.0/10
- Quadrant: Lab Rats — theoretically deep, empirically untested
Why this score: The paper employs advanced agent-based modeling, stochastic processes, and utility optimization frameworks, indicating high mathematical density; however, it relies entirely on synthetic simulations without real-world data or implementation details like code or backtests, resulting in low empirical rigor.
Research Flowchart
flowchart TD
A["Research Goal<br>Determine optimal dealer strategies<br>and market impact in agent-based models"] --> B["Methodology<br>Extend Chiarella.2008 auction model<br>to include liquidity providers"]
B --> C["Input: Synthetic Market Simulations"]
C --> D{"Computational Process"}
D --> E["Strategy A: Passive Quoting<br>Large Quote Size"]
D --> F["Strategy B: Passive Quoting<br>Small Quote Size"]
E & F --> G["Key Findings"]
G --> H["Risk Aversion<br>High risk aversion improves performance"]
G --> I["Quote Size Impact<br>Strategy A: Large size optimal<br>Strategy B: Small size optimal"]
G --> J["Market Dynamics<br>Increased quote size reduces volatility<br>Risk aversion impact: Mixed/Neutral"]
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- Delta-neutral volatility trading with intra-day prices: An application to options on the DAX (1996)
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- Dispersion Trading Based on the Explanatory Power of S & P 500 Stock Returns (2020) — link
- Multifractal models in finance: Their origin, properties, and applications (2013)
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- Optimal stopping problems for a Brownian motion with a disorder on a finite interval (2012)
- When to Sell Apple and the Nasdaq? Trading Bubbles with a Stochastic Disorder Model (2014) — link
- The valuation of currency options by fractional Brownian motion (2016) — link
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- Option trading: Pricing and volatility strategies and techniques (2010) — link
- The Skewness and Kurtosis of European Options and the Implications for Trade Sizing (2017) — link
- Critical comparison of several order-book models for stock-market fluctuations
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- Volatility fingerprints of large shocks: Endogeneous versus exogeneous
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- Calibrating rough volatility models: A convolutional neural network approach (2019) — link
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- Irreducible Risks: Fallacy of Risk-Neutral Approach to Options (2021/01/07) — link
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- Comprehensive Analysis of Time Series Forecasting Using Neural Networks (2020)
- Fuzzy inductive reasoning, expectation formation and the behavior of security prices (2001) — link
- Handbook of quantitative methods for educational research (2013)
- Long memory in economics: With 116 figures and 50 tables (2010)
- A Gentle Introduction to~NOPE
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- Agent-based financial markets: A review of the methodology and domain (2016) — link
- An Introduction to~Markov Chains (2016)
- Cross Impact in Derivative Markets (2021/02/18) — link
- Shock transfer by arbitrage trading: Analysis using multi-asset artificial market (2015) — link
- The square-root impact law also holds for option markets (2016)
- The Emergence of Bull and Bear Dynamics in a Nonlinear Model of Interacting Markets (2009) — link
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- Learning Agents in Black-Scholes Financial Markets: Consensus Dynamics and Volatility Smiles (2020)
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- An Agent-Based Model of the Flash Crash of May 6, 2010, with Policy Implications (2014) — link
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- Multi-Asset Spot and Option Market Simulation (2021)
- Derivatives: The Theory and Practice of Financial Engineering (2000)
- Stock price clustering on option expiration dates (2005) — link
- Wealth Share Analysis with ``Fundamentalist/Chartist’’ Heterogeneous Agents (2014) — link
- Forecasting the Implied Volatility Surface Using Put-Call Parity Deviations — link
- Analysis of the impact of maker-taker fees on the stock market using agent-based simulation (2020)
- An Agent–Based model for Limit Order Book: Estimation and simulation (2021) — link
- Online Adaptive Machine Learning Based Algorithm for Implied Volatility Surface Modeling (2017)
- Option Pricing under Unknown Volatility: An Agent-Based Modeling and Simulation Approach (2009) — link
- High-Frequency Trading, Stock Volatility, and Price Discovery (2010) — link
- Validation and Calibration of an Agent-Based Model: A Surrogate Approach (2020) — link
- A Two-Step Framework for Arbitrage-Free Prediction of the Implied Volatility Surface (2021)
- Tick Size and Market Quality Using an Agent-Based Multiple-Order-Book Model (2020) — link
- Incorporating prior financial domain knowledge into neural networks for implied volatility surface prediction (2019)
- Volatility surface and term structure: high-profit options trading strategies (2013)
0 of 445 cited works are in the corpus; resolved via arXiv source bundles, Semantic Scholar and OpenAlex. Corpus-wide: 2518 linked papers.