Quant Notes

Concise reference pages on quantitative finance — covering markets, probability, derivatives, portfolio theory, and more.

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#002Markets

Return Distributions

Empirical Histogram BuildingMoments (Mean / Variance / Skewness / Kurtosis)Normality Diagnostics (QQ-Plot)+7
#108Regression

Ridge Regression

L2 Penalty IntuitionBias-Variance TradeoffShrinkage Effect+7
#046Probability

Moment Generating Functions

Definition and ExistenceRelation to MomentsUniqueness Properties+7
#194ML

Crypto & Digital Assets Quant

Market Structure DifferencesOn-Chain Data BasicsExchange Fragmentation+7
#130Derivatives

Option Greeks

Delta MeaningGamma ConvexityVega Sensitivity+7
#164Strategies

Signal Combination Methods

Equal Weight vs OptimizedBayesian Model Averaging IdeaEnsemble Methods+7
#098Time Series

Nonlinear Time Series

Nonlinear AR ModelsThreshold Autoregression (TAR)Smooth Transition Models (STAR)+7
#052Portfolio

Efficient Frontier

Frontier DefinitionMinimum Variance PortfolioTangency Portfolio Concept+7
#189ML

Reinforcement Learning in Finance

MDP FormulationReward DesignExploration vs Exploitation+7
#040Probability

Bootstrapping Methods

Resampling IntuitionIID BootstrapBlock Bootstrap for Time Series+7
#103Regression

OLS Properties

Unbiasedness ConditionsConsistencyEfficiency (BLUE)+7
#022Markets

Equity Risk Premium

Definitions (Ex-Ante/Ex-Post)Historical Estimation MethodsDividend Discount Intuition+7
#152Strategies

Overfitting & Data Snooping

Multiple Testing ProblemIn-Sample vs Out-of-SampleBacktest Over-Optimization+7
#055Portfolio

Beta Estimation

Regression SetupReturn Frequency ChoicesChoice of Market Proxy+7
#136Derivatives

Stochastic Volatility Models

Why Stochastic VolatilityHeston Model OverviewMean Reversion in Variance+7
#083Time Series

Cointegration

Spurious Regression ProblemCointegration DefinitionEngle–Granger Method+7
#195ML

ESG in Quant Models

ESG Data SourcesScoring DisagreementsFactor vs Constraint Framing+7
#097Time Series

Filtering Methods

Moving AveragesExponential SmoothingHP Filter Overview+7
#003Markets

Market Microstructure

Trading Venues & Market TypesOrder-Driven vs Quote-DrivenLimit Order Book Basics+7
#169Strategies

Event-Driven Strategies

Corporate Event TypesDeal Risk Arbitrage BasicsEarnings Surprises+7
#067Portfolio

Maximum Drawdown

Definition and ComputationPeak-to-Trough ConceptDrawdown Duration+7
#049Probability

Multivariate Statistics

Multivariate Mean/CovarianceCovariance Matrix PropertiesEigenvalues/Eigenvectors+7
#123Regression

Nonparametric Regression

Kernel Regression BasicsBandwidth SelectionLocal Polynomial Regression+7
#128Derivatives

Swaps Fundamentals

Interest Rate Swap LegsFixed vs Floating RatesPayment Frequency+7
#045Probability

Random Variable Theory

Discrete vs Continuous RVsCDF/PDF/PMF RelationshipsTransformations of RVs+7
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