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.

Actuarial Calculator

Free Online Actuarial Calculator

Calculate present values, reserves, IBNR, mortality rates, pension costs, and risk measures instantly. Every result is executed through Python + SymPy and includes the complete derivation, no black box, no guessing.

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Calculation Types

Present Value of Annuities

Annuity-immediate, annuity-due, deferred, increasing/decreasing annuities. Supports any interest rate, payment frequency, and term.

Try: “PV of annuity-immediate, $1,000/yr, i=5%, n=10”

Life Insurance Reserves

Net premium reserves, gross premium reserves, prospective and retrospective methods. Supports standard mortality tables (CSO, RP-2014).

Try: “Net single premium, whole life on (35), benefit $100k, i=4%”

Loss Reserving & IBNR

Chain Ladder, Bornhuetter-Ferguson, Cape Cod, and paid-incurred methods. Upload loss triangles or enter data directly.

Try: “Chain Ladder IBNR from a loss development triangle”

Bond Pricing & Duration

Bond price, yield to maturity, Macaulay duration, modified duration, convexity. Supports callable bonds and varying coupon structures.

Try: “Price of 10-year bond, 6% coupon, yield 5.5%, semi-annual”

Loan Amortization

Outstanding balance, principal/interest breakdown, sinking fund schedules. Level payment and custom amortization.

Try: “Loan of $50,000 over 20yrs at i=5%, balance after payment 10?”

Mortality & Survival

Life table lookups, survival probabilities, curtate/complete expectation of life, force of mortality. De Moivre, Gompertz, Makeham models.

Try: “Calculate 20p40 using de Moivre with w=100”

Pension Funding

Entry Age Normal, Projected Unit Credit, aggregate cost method, unfunded liability, normal cost calculations.

Try: “EAN normal cost for DB pension, salary $80k, age 35, retirement 65”

Risk Measures

Value at Risk (VaR), Tail VaR (TVaR/CVaR), Expected Shortfall at various confidence levels. Supports parametric and empirical methods.

Try: “VaR and TVaR at 99.5% for lognormal(10, 0.5)”

Why Actua vs Spreadsheets

Traditional actuarial work relies on Excel models that are error-prone, hard to audit, and slow to build. Actua generates the calculation, the formula, and the Python code in seconds, with every assumption stated explicitly and every intermediate step shown.

The results are deterministic: the same question always produces the same answer, executed by a real computation engine (not an LLM making arithmetic guesses). You get the LaTeX derivation for documentation, the Python code for reproducibility, and Excel formulas for integration into existing workflows.

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5 free queries per day. No sign-up needed.

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