Computational Finance & Econometrics
The mathematics of markets and empirical quantitative structures.
Core Sub-topics & Research Themes
Continuous & Discrete Time Asset Pricing
Martingale representations, stochastic calculus (Itô and Stratonovich), Black-Scholes PDE variations, and jump-diffusion models.
High-Frequency Market Microstructure & Order Books
Hawkes processes, limit order book queueing dynamics, liquidity modeling, and execution slippage analysis.
Time-Series Econometrics & Volatility Forecasting
GARCH/EGARCH architectures, cointegration systems, vector autoregressions (VAR/VECM), and regime-switching models.
Quantitative Risk Architecture & Stress Testing
Value-at-Risk (VaR), Expected Shortfall (CVaR), extreme value theory (EVT), copula dependence modeling, and macro-financial solvency.
Decentralized Finance & Algorithmic Clearing
Constant function market makers (CFMM), automated clearing protocols, liquidity pool invariants, and algorithmic cross-border rails.
Mathematical & Applied Methodologies
Numerical PDE & Finite Differences
Crank-Nicolson, implicit Euler, and multi-dimensional grid solvers for option valuation equations.
Monte Carlo & Variance Reduction
High-dimensional path-dependent simulation for portfolio exposure and exotic derivatives.
Econometric Estimation & Inference
Maximum likelihood, generalized method of moments (GMM), and bootstrap standard errors.
Monographs & Publications in this Field
Modern Financial Architecture
CFSBR Strategic Monograph · Volume II
Authors / Editorial Board: Centre for Fintech & Strategic Business Research
- Cross-border digital settlement networks in South Asia
- Microfinance liquidity reserve models under volatility
- Open banking API security and latency audit protocols
Stochastic Methods in Market Microstructure
Algorism Monograph Series on Quantitative Finance
Authors / Editorial Board: CFSBR Quantitative Finance Group
- Hawkes process calibration on ultra-high-frequency trade feeds
- Market impact kernels and non-linear cost curves
- Cryptographic verification for decentralized order routing
Publishing in this Discipline
We welcome monograph and course-text proposals within this discipline. Every volume undergoes structural peer appraisal, code verification, and custom typographic design.