Actua is a free AI-powered actuarial calculator and exam prep tool. It uses Python + SymPy to execute calculations deterministically, ensuring every result is verified and reproducible. It covers SOA exams (P, FM, FAM, LTAM, STAM, SRM, PA), IFoA exams (CM1, CM2, CS1, CS2), IFRS 17, Solvency II, loss reserving, life insurance, pensions, and risk management.

Is Actua free to use?

Yes. Actua offers 5 free queries per day with no sign-up required, covering all 13 actuarial topic areas with KaTeX math rendering. The Pro plan ($29/month) unlocks unlimited queries, step-by-step LaTeX derivations, Python execution engine, Excel upload and export, handwriting OCR exam grading, and persistent cloud history.

Which actuarial exams does Actua cover?

Actua covers all major actuarial exam syllabi: SOA Exam P (Probability), FM (Financial Mathematics), FAM (Fundamentals of Actuarial Mathematics), LTAM (Long-Term Actuarial Mathematics), STAM (Short-Term Actuarial Mathematics), SRM (Statistics for Risk Modeling), and PA (Predictive Analytics). It also covers IFoA exams CM1, CM2, CS1, and CS2.

How does Actua verify its calculations?

Actua uses a neurosymbolic approach: the AI interprets your question and generates a Python script using SymPy or NumPy. This script is executed server-side to produce the result. The AI never performs arithmetic — only the deterministic computation engine does. Every answer includes the full audit trail: LaTeX derivation, Python code, and assumptions.

Can I upload Excel files to Actua?

Yes. Pro users can upload loss triangles, mortality tables, premium data, and any actuarial spreadsheet (.xlsx, .xls, .csv). Actua automatically detects the data type (loss triangle, mortality table, IFRS 17 data, etc.) and suggests relevant analyses. You can also export calculation results as audit-ready Excel workbooks with live formulas.

Does Actua support handwriting recognition for exam solutions?

Yes. Pro users can photograph handwritten actuarial exam solutions. Actua uses computer vision (Gemini Vision API) to extract the work into LaTeX, grade it line by line, identify errors with corrections, and provide a score out of 10. It supports SOA, CAS, and IFoA exam formats.

SOA Exam P

Exam P Study Guide — Probability

Master probability for the SOA Exam P with AI that executes real math. Ask about any distribution, joint density, conditional probability, or moment generating function and get a verified, step-by-step solution showing every integral and derivation.

Practice Exam P →

Exam P Syllabus Coverage

General Probability

Set functions, mutually exclusive events, addition and multiplication rules, conditional probability, independence, Bayes' theorem, combinatorial principles

Univariate Distributions

Probability density/mass functions, CDFs, survival functions, expected value, variance, mode, median, percentiles, moment generating functions

Common Distributions

Binomial, Poisson, negative binomial, geometric, hypergeometric, uniform, exponential, normal, gamma, beta, lognormal, Pareto, Weibull

Multivariate Distributions

Joint densities, marginal distributions, conditional distributions, covariance, correlation, independence of random variables, bivariate normal

Transformations

Functions of random variables, convolutions, distribution of sums, order statistics, distribution of min/max, Jacobian transformations

Risk & Insurance

Deductibles, policy limits, coinsurance, loss elimination ratio, expected claims with modifications, aggregate loss models

Practice Questions

→ P(X>2) for X ~ Exp(0.5)→ Joint density f(x,y)=6xy, 0<x<1, 0<y<1 — P(X+Y<1)?→ MGF of Poisson with lambda=3 → E[X|Y=2] where f(x,y)=2 for 0<x<y<1 → Distribution of Z=X+Y where X~Exp(1), Y~Exp(2), independent → Order statistic: distribution of max(X1,...,X5) where Xi~Uniform(0,1)

Start Exam P Practice

5 free questions per day. Every calculation verified by Python + SymPy.

Try Actua Free →