UNIVERSITY OF SAN DIEGO KNAUSS SCHOOL OF BUSINESS AACSB ACCREDITED
Knauss Center for Business Education • 5998 Alcalá Park, San Diego, CA
Master of Science in Finance (MSF) • Quantitative Analytics

Comprehensive Financial & Advanced Analytics Computational Suite

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.

Joseph White, MSF Candidate

Joseph White

MSF Candidate

Department of Finance • Knauss School of Business

Knauss Center for Business Education • University of San Diego

180
Calculation Engines
15
Disciplines & Domains
100%
Zero-Defect Subprocess Verified
50,000
Empirical Benchmark Samples

Academic & Quantitative Disciplines

Systematic categorization across 15 fundamental, graduate, doctoral, and machine learning branches.

Time Value of Money

Intertemporal capital valuation, continuous & discrete compounding frequencies, DCF discounting, and capital budgeting.

14 Modules

Annuities & Perpetuities

Finite and perpetual cash flow streams, ordinary & annuity-due conventions, geometric growth, and sinking funds.

11 Modules

Real Estate & Mortgages

Mortgage underwriting, amortization tables, Net Operating Income (NOI), cap rates, debt yields, and levered equity IRR.

13 Modules

Bonds & Fixed Income

Term structure bootstrapping, Macaulay & modified duration, convexity, and stochastic short-rate models (Vasicek, CIR, Hull-White).

19 Modules

Equities & Valuation

Intrinsic equity pricing (DDM, DCF, FCFF/FCFE), cost of capital (WACC, CAPM), DuPont decomposition, and Altman Z bankruptcy.

16 Modules

Portfolio Theory & Pricing

Modern Portfolio Theory (Markowitz), Sharpe/Sortino/Calmar attribution, Fama-French multi-factor, and Black-Litterman.

15 Modules

Derivatives & Options

Black-Scholes-Merton PDE solutions, Greeks, binomial trees, Heston stochastic volatility, jump-diffusion, and swaps.

14 Modules

Quantitative Risk

Value at Risk (VaR), Conditional VaR (Expected Shortfall), Cornish-Fisher expansion, Merton structural credit, and Kelly sizing.

12 Modules

Econometrics & Volatility

Multivariate regression, Newey-West HAC, cointegration (Engle-Granger, Johansen), volatility clustering (ARCH, GARCH, EGARCH).

14 Modules

Quantitative Trading

Statistical arbitrage, Ornstein-Uhlenbeck SDEs, fractal Hurst analysis, Fokker-Planck diffusion, Random Matrix Theory.

12 Modules

Market Microstructure

Order book dynamics, Kyle's lambda price impact, Roll spread, Order Flow Imbalance (OFI), and Almgren-Chriss execution.

8 Modules

Advanced Distributions & 50k

Gaussian & heavy-tailed Student-t modeling with static 50,000-sample empirical datasets, Weibull survival, and GMM sampling.

8 Modules • 50k Samples

Statistical Inference

Hypothesis testing engines: 1-sample & Welch t-tests, ANOVA F-tests, Mann-Whitney U, Wilcoxon, Kolmogorov-Smirnov, Chi-square.

9 Modules

Machine Learning & AI

Ridge (L2), Lasso (L1) coordinate descent, Elastic Net, Logistic MLE, SVD Principal Component Analysis, K-Means, 50k Bootstrap.

10 Modules

Time Series & Signals

Fast Fourier Transform (FFT) periodograms, Holt-Winters exponential smoothing, wavelet thresholding, and Markov regime switches.

5 Modules

Empirical 50,000-Sample Benchmark Datasets Active

For educational demonstration and computational verification, static 50,000-sample empirical datasets for both Gaussian Normal and Heavy-Tailed Student's t distributions (df=5) have been pre-computed and stored. These files are freely downloadable for local Python/R empirical analysis, Monte Carlo verification, and histogram fitting.

Interactive Calculation Engines & Standalone Solvers

Search by equation name, parameter symbol, or financial keyword. Click Launch to solve or download .py source.

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Academic Fair Use & Non-Commercial Research Disclosures

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.