Actuarial Topics

Deep dives into the core mathematical, statistical, and professional topics that span actuarial preliminary exams.

Probability Theory Fundamentals

Core probability concepts including axioms, conditional probability, Bayes theorem, and random variables.

P

Financial Mathematics Concepts

Time value of money, interest theory, annuities, bonds, and financial derivatives.

FM

Statistics and Data Analysis

Descriptive statistics, hypothesis testing, confidence intervals, and data visualization.

SRMMAS-I

Regression and Predictive Modeling

Linear and logistic regression, GLMs, model selection, and predictive analytics.

SRMMAS-IMAS-II

Time Series Analysis

AR, MA, ARIMA models, forecasting, stationarity, and seasonal decomposition.

SRMMAS-I

Loss Distributions and Modeling

Parametric loss models, severity and frequency distributions, and aggregate claims.

STAMMAS-II

Credibility Theory

Buhlmann, Buhlmann-Straub, classical credibility, and empirical Bayes methods.

STAMMAS-IMAS-II

Life Contingencies

Life insurance and annuity valuation, survival models, and benefit reserves.

LTAM

Pension Mathematics

Defined benefit plan valuation, funding methods, and pension risk management.

LTAM

Ratemaking and Pricing

Pure premium method, loss ratio method, experience rating, and classification.

STAMMAS-II

Reserving Methods

Chain ladder, Bornhuetter-Ferguson, and stochastic reserving techniques.

STAMMAS-II

Reinsurance Mathematics

Proportional and non-proportional reinsurance, excess of loss, and stop-loss pricing.

STAMMAS-II

Risk Measures and Management

VaR, TVaR, expected shortfall, coherent risk measures, and ERM frameworks.

STAMMAS-II

Survival Analysis

Kaplan-Meier estimation, Cox regression, hazard functions, and censoring.

SRMMAS-ILTAM

Bayesian Statistics

Prior and posterior distributions, conjugate families, MCMC, and Bayesian estimation.

SRMMAS-IMAS-II

Machine Learning for Actuaries

Decision trees, random forests, gradient boosting, neural networks, and clustering.

SRMMAS-I

Stochastic Processes

Markov chains, Poisson processes, Brownian motion, and their actuarial applications.

PMAS-ILTAM

Interest Theory and Bond Math

Yield curves, duration, convexity, immunization, and bond portfolio management.

FM

Insurance Regulation and Compliance

NAIC framework, risk-based capital, solvency standards, and regulatory filings.

STAMLTAM

Actuarial Professional Standards

ASOPs, Code of Professional Conduct, qualification standards, and ethical obligations.

STAMLTAM