Interactive Calculation Engines & Standalone Solvers
Search by equation name, parameter symbol, or financial keyword. Click Launch to solve or download .py source.
An open-access quantitative compendium bridging core foundational principles, graduate financial theory, and frontier mathematical analytics. Spanning 180 certified calculation engines across 15 finance, statistical inference, machine learning, and quantitative trading disciplines—developed at the Knauss Center for Business Education.
Systematic categorization across 15 fundamental, graduate, doctoral, and machine learning branches.
Intertemporal capital valuation, continuous & discrete compounding frequencies, DCF discounting, and capital budgeting.
14 ModulesFinite and perpetual cash flow streams, ordinary & annuity-due conventions, geometric growth, and sinking funds.
11 ModulesMortgage underwriting, amortization tables, Net Operating Income (NOI), cap rates, debt yields, and levered equity IRR.
13 ModulesTerm structure bootstrapping, Macaulay & modified duration, convexity, and stochastic short-rate models (Vasicek, CIR, Hull-White).
19 ModulesIntrinsic equity pricing (DDM, DCF, FCFF/FCFE), cost of capital (WACC, CAPM), DuPont decomposition, and Altman Z bankruptcy.
16 ModulesModern Portfolio Theory (Markowitz), Sharpe/Sortino/Calmar attribution, Fama-French multi-factor, and Black-Litterman.
15 ModulesBlack-Scholes-Merton PDE solutions, Greeks, binomial trees, Heston stochastic volatility, jump-diffusion, and swaps.
14 ModulesValue at Risk (VaR), Conditional VaR (Expected Shortfall), Cornish-Fisher expansion, Merton structural credit, and Kelly sizing.
12 ModulesMultivariate regression, Newey-West HAC, cointegration (Engle-Granger, Johansen), volatility clustering (ARCH, GARCH, EGARCH).
14 ModulesStatistical arbitrage, Ornstein-Uhlenbeck SDEs, fractal Hurst analysis, Fokker-Planck diffusion, Random Matrix Theory.
12 ModulesOrder book dynamics, Kyle's lambda price impact, Roll spread, Order Flow Imbalance (OFI), and Almgren-Chriss execution.
8 ModulesGaussian & heavy-tailed Student-t modeling with static 50,000-sample empirical datasets, Weibull survival, and GMM sampling.
8 Modules • 50k SamplesHypothesis testing engines: 1-sample & Welch t-tests, ANOVA F-tests, Mann-Whitney U, Wilcoxon, Kolmogorov-Smirnov, Chi-square.
9 ModulesRidge (L2), Lasso (L1) coordinate descent, Elastic Net, Logistic MLE, SVD Principal Component Analysis, K-Means, 50k Bootstrap.
10 ModulesFast Fourier Transform (FFT) periodograms, Holt-Winters exponential smoothing, wavelet thresholding, and Markov regime switches.
5 ModulesSearch by equation name, parameter symbol, or financial keyword. Click Launch to solve or download .py source.
This web platform and its underlying mathematical calculation engines are published strictly for educational instruction, academic research, and non-commercial scholarship by Joseph White, MSF Candidate at the University of San Diego - Knauss School of Business. All quantitative formulations reflect standard peer-reviewed financial economics, mathematical statistics, econometrics, and quantitative trading literature. This portal does not provide investment advisory services or personalized financial guidance.