What this category covers
Computational methods used to solve pricing, optimization and simulation problems when closed-form solutions are unavailable. Each concept page explains the quantitative meaning, how the idea is used in portfolio or market analysis, the relevant formula or analytical framework, variables, a compact example and the main limitations to keep in view.
Core concepts
Quick entry pointsAll Numerical Methods & Simulation concepts
32 entriesAlgorithmic Differentiation
Algorithmic Differentiation is a quantitative method used to solve, simulate or approximate a financial problem when direct analytical treatment is inconvenient or impossible. Accuracy depends on implementation choices, convergence, numerical stability and whether the method matches the economics of the problem.
Quantitative FinanceAntithetic Variates
Antithetic Variates is a quantitative-finance concept used within numerical methods & simulation. It provides a precise language for describing how market data, uncertainty, models or portfolio decisions are measured and tested.
Quantitative FinanceAutomatic Differentiation
Automatic Differentiation is a quantitative-finance concept used within numerical methods & simulation. It provides a precise language for describing how market data, uncertainty, models or portfolio decisions are measured and tested.
Quantitative FinanceBFGS Method
BFGS Method is a quantitative method used to solve, simulate or approximate a financial problem when direct analytical treatment is inconvenient or impossible. Accuracy depends on implementation choices, convergence, numerical stability and whether the method matches the economics of the problem.
Quantitative FinanceBinomial Tree Method
Binomial Tree Method is a quantitative method used to solve, simulate or approximate a financial problem when direct analytical treatment is inconvenient or impossible. Accuracy depends on implementation choices, convergence, numerical stability and whether the method matches the economics of the problem.
Quantitative FinanceBisection Method
Bisection Method is a quantitative method used to solve, simulate or approximate a financial problem when direct analytical treatment is inconvenient or impossible. Accuracy depends on implementation choices, convergence, numerical stability and whether the method matches the economics of the problem.
Quantitative FinanceBootstrap Simulation
Bootstrap Simulation is a quantitative method used to solve, simulate or approximate a financial problem when direct analytical treatment is inconvenient or impossible. Accuracy depends on implementation choices, convergence, numerical stability and whether the method matches the economics of the problem.
Quantitative FinanceBrent Method
Brent Method is a quantitative method used to solve, simulate or approximate a financial problem when direct analytical treatment is inconvenient or impossible. Accuracy depends on implementation choices, convergence, numerical stability and whether the method matches the economics of the problem.
Quantitative FinanceBrownian Bridge Construction
Brownian Bridge Construction is a quantitative-finance concept used within numerical methods & simulation. It provides a precise language for describing how market data, uncertainty, models or portfolio decisions are measured and tested.
Quantitative FinanceCondition Number
Condition Number is a quantitative-finance concept used within numerical methods & simulation. It provides a precise language for describing how market data, uncertainty, models or portfolio decisions are measured and tested.
Quantitative FinanceConditional Monte Carlo
Conditional Monte Carlo is a quantitative-finance concept used within numerical methods & simulation. It provides a precise language for describing how market data, uncertainty, models or portfolio decisions are measured and tested.
Quantitative FinanceConjugate Gradient Method
Conjugate Gradient Method is a quantitative method used to solve, simulate or approximate a financial problem when direct analytical treatment is inconvenient or impossible. Accuracy depends on implementation choices, convergence, numerical stability and whether the method matches the economics of the problem.
Quantitative FinanceConstraint Qualification
Constraint Qualification is a quantitative-finance concept used within numerical methods & simulation. It provides a precise language for describing how market data, uncertainty, models or portfolio decisions are measured and tested.
Quantitative FinanceControl Variates
Control Variates is a quantitative-finance concept used within numerical methods & simulation. It provides a precise language for describing how market data, uncertainty, models or portfolio decisions are measured and tested.
Quantitative FinanceCoordinate Descent
Coordinate Descent is a quantitative-finance concept used within numerical methods & simulation. It provides a precise language for describing how market data, uncertainty, models or portfolio decisions are measured and tested.
Quantitative FinanceCrank-Nicolson Method
Crank-Nicolson Method is a quantitative method used to solve, simulate or approximate a financial problem when direct analytical treatment is inconvenient or impossible. Accuracy depends on implementation choices, convergence, numerical stability and whether the method matches the economics of the problem.
Quantitative FinanceDifferential Evolution
Differential Evolution is a quantitative-finance concept used within numerical methods & simulation. It provides a precise language for describing how market data, uncertainty, models or portfolio decisions are measured and tested.
Quantitative FinanceDiscretization Error
Discretization Error is a quantitative-finance concept used within numerical methods & simulation. It provides a precise language for describing how market data, uncertainty, models or portfolio decisions are measured and tested.
Quantitative FinanceDual Problem
Dual Problem is a quantitative-finance concept used within numerical methods & simulation. It provides a precise language for describing how market data, uncertainty, models or portfolio decisions are measured and tested.
Quantitative FinanceDynamic Programming
Dynamic Programming is a quantitative-finance concept used within numerical methods & simulation. It provides a precise language for describing how market data, uncertainty, models or portfolio decisions are measured and tested.
Quantitative FinanceExplicit Finite Difference
Explicit Finite Difference is a quantitative-finance concept used within numerical methods & simulation. It provides a precise language for describing how market data, uncertainty, models or portfolio decisions are measured and tested.
Quantitative FinanceFiltered Historical Simulation
Filtered Historical Simulation is a quantitative method used to solve, simulate or approximate a financial problem when direct analytical treatment is inconvenient or impossible. Accuracy depends on implementation choices, convergence, numerical stability and whether the method matches the economics of the problem.
Quantitative FinanceFinite Difference Derivative
Finite Difference Derivative is a quantitative-finance concept used within numerical methods & simulation. It provides a precise language for describing how market data, uncertainty, models or portfolio decisions are measured and tested.
Quantitative FinanceFinite Difference Method
Finite Difference Method is a quantitative method used to solve, simulate or approximate a financial problem when direct analytical treatment is inconvenient or impossible. Accuracy depends on implementation choices, convergence, numerical stability and whether the method matches the economics of the problem.
Quantitative FinanceHistorical Simulation
Historical Simulation is a quantitative method used to solve, simulate or approximate a financial problem when direct analytical treatment is inconvenient or impossible. Accuracy depends on implementation choices, convergence, numerical stability and whether the method matches the economics of the problem.
Quantitative FinanceLattice Model
Lattice Model is a quantitative model or framework used in numerical methods & simulation to convert assumptions and observed market information into a structured estimate, state or decision rule. Its value comes from making the relationships explicit enough to calibrate, test and compare rather than relying on intuition alone.
Quantitative FinanceParametric Simulation
Parametric Simulation is a quantitative method used to solve, simulate or approximate a financial problem when direct analytical treatment is inconvenient or impossible. Accuracy depends on implementation choices, convergence, numerical stability and whether the method matches the economics of the problem.
Quantitative FinanceParticle Swarm Optimization
Particle Swarm Optimization is a quantitative-finance concept used within numerical methods & simulation. It provides a precise language for describing how market data, uncertainty, models or portfolio decisions are measured and tested.
Quantitative FinancePath Simulation
Path Simulation is a quantitative method used to solve, simulate or approximate a financial problem when direct analytical treatment is inconvenient or impossible. Accuracy depends on implementation choices, convergence, numerical stability and whether the method matches the economics of the problem.
Quantitative FinanceQuasi-Monte Carlo Simulation
Quasi-Monte Carlo Simulation is a quantitative method used to solve, simulate or approximate a financial problem when direct analytical treatment is inconvenient or impossible. Accuracy depends on implementation choices, convergence, numerical stability and whether the method matches the economics of the problem.
Quantitative FinanceScenario Simulation
Scenario Simulation is a quantitative method used to solve, simulate or approximate a financial problem when direct analytical treatment is inconvenient or impossible. Accuracy depends on implementation choices, convergence, numerical stability and whether the method matches the economics of the problem.
Quantitative FinanceStress Simulation
Stress Simulation is a quantitative method used to solve, simulate or approximate a financial problem when direct analytical treatment is inconvenient or impossible. Accuracy depends on implementation choices, convergence, numerical stability and whether the method matches the economics of the problem.