Advanced Mathematical Frameworks

Master sophisticated mathematical models including stochastic calculus, game theory, and quantitative risk analysis for professional MEV trading

6
Course Modules
16
Total Hours
8,325
Lines of Content
Advanced
Difficulty Level

Download All Modules

Get instant access to all 6 PDF modules covering comprehensive mathematical frameworks for MEV trading

1

Stochastic Calculus for MEV Modeling

Master the mathematical foundations of continuous-time modeling for MEV opportunities using Ito calculus and stochastic differential equations.

📚 Duration: 150 minutes
Key Topics:
  • Wiener processes and Brownian motion
  • Ito calculus and stochastic integrals
  • Geometric Brownian motion for asset prices
  • Optimal stopping theory
  • Jump-diffusion models for MEV events
Download PDF
2

Game Theory & Strategic Interactions

Analyze competitive dynamics between MEV searchers and understand validator auction mechanisms using advanced game theory.

📚 Duration: 180 minutes
Key Topics:
  • Nash equilibrium in MEV competition
  • Auction theory for validator selection
  • Cooperative vs. non-cooperative games
  • Mechanism design for MEV mitigation
  • Multi-agent reinforcement learning
Download PDF
3

Advanced Time Series Analysis

Implement sophisticated forecasting models using ARIMA, GARCH, and machine learning techniques for MEV opportunity prediction.

📚 Duration: 160 minutes
Key Topics:
  • ARIMA and SARIMA models
  • GARCH for volatility modeling
  • State space models and Kalman filtering
  • Machine learning for time series
  • Regime-switching models
Download PDF
4

Statistical Arbitrage Frameworks

Build robust statistical arbitrage strategies using cointegration, mean reversion, and pairs trading methodologies.

📚 Duration: 170 minutes
Key Topics:
  • Cointegration and error correction models
  • Ornstein-Uhlenbeck processes
  • Pairs trading strategies
  • Principal component analysis
  • Distance-based clustering
Download PDF
5

Portfolio Optimization Theory

Optimize multi-strategy MEV portfolios using mean-variance optimization, risk parity, and advanced allocation techniques.

📚 Duration: 140 minutes
Key Topics:
  • Modern portfolio theory
  • Black-Litterman model
  • Risk parity approaches
  • Maximum diversification
  • Dynamic portfolio rebalancing
Download PDF
6

Risk Attribution & Performance Analysis

Measure and attribute MEV strategy performance using factor models, VaR calculations, and advanced risk metrics.

📚 Duration: 190 minutes
Key Topics:
  • Factor models and risk attribution
  • Value-at-Risk (VaR) methodologies
  • Expected shortfall and tail risk
  • Performance attribution frameworks
  • Stress testing and scenario analysis
Download PDF
← Back to Course Overview