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. Student ($30/month) unlocks unlimited queries, step-by-step LaTeX derivations, exam practice and persistent history. Professional ($100/month) adds the full workbench: your own data sources, guided reserving, Python notebooks, Excel export and a sign-off audit trail.

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?

Actua provides exam-style practice questions whose correct answer is computed by its deterministic engine rather than written into an answer key, so the number you are marked against is the one a working actuary would get. A wrong choice explains which misconception it represents. Uploading photographs of handwritten solutions is on the roadmap and not yet available.

SOA Exam FM

Exam FM Study Guide, Financial Mathematics

Master financial mathematics for the SOA Exam FM with interactive AI practice. Type any problem, annuity valuations, bond pricing, loan amortization, immunization conditions, and get a complete, verified solution with every formula and step shown.

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Exam FM Syllabus Coverage

Time Value of Money

Simple & compound interest, effective vs nominal rates, force of interest, accumulation functions, present value calculations

Annuities

Annuity-immediate, annuity-due, deferred annuities, increasing/decreasing annuities, perpetuities, continuous annuities

Loans & Amortization

Level payment loans, sinking fund loans, outstanding balance, principal/interest breakdown, balloon payments

Bonds

Bond pricing, premium/discount, book value amortization, yield to maturity, callable bonds, serial bonds

Interest Rate Theory

Yield curves, spot rates, forward rates, duration, convexity, term structure models

Immunization & ALM

Redington immunization, full immunization, asset-liability matching, duration matching, convexity conditions

Derivatives Basics

Forward contracts, call/put options, interest rate swaps, no-arbitrage pricing, put-call parity

Practice Questions

→ PV of annuity-immediate, $1,000/yr, i=5%, n=10 → Loan of $50,000 over 20yrs at i=5%, balance after payment 10?→ Equivalent annual rate for 8% nominal compounded quarterly → Bond price: 10yr, 6% coupon, yield 5%, par $1000 → Redington immunization: match duration and convexity for a 5yr liability → Forward rate from t=2 to t=5 given spot rates s2=4%, s5=5.2%

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5 free questions per day. Every answer is Python-verified.

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