Risk Theory·Course
Risk Theory & Actuarial Math
Actuarial mathematics: risk theory, life and property insurance, survival models, and risk management
Part of the Mathematics track — finish it for a verifiable diploma →
§ 01 — Orientation
New here?
What you'll be able to do, who this is for, how long it takes, and where to begin.
By the end, you will be able to
- 01Build actuarial models of risk.
- 02Price life-insurance products.
- 03Handle property and casualty insurance math.
- 04Measure and manage financial risk.
- 05Put a number on uncertainty.
Who this is for
How long it takes
- Quick orientationSkim the opening module and the cheatsheet to get the shape of it.~2 h
- Full read-throughRead every article once, in order.~2 h
- Mastery pathRead, take the quizzes, and space out your reviews.~2 weeks
- APA
Stoa. (2026). Risk Theory & Actuarial Math [Online course]. Stoa. https://stoa.school/course/risk-actuarial
- MLA
Stoa. “Risk Theory & Actuarial Math.” Stoa, 2026, https://stoa.school/course/risk-actuarial.
- Chicago
Stoa. “Risk Theory & Actuarial Math.” Stoa. Accessed September 1, 2026. https://stoa.school/course/risk-actuarial.
§ 02 — Curriculum
5 modules.
Each module is a small unit. Most read in sequence — but a determined reader can begin anywhere.
- M IFoundations of Risk Theory and InsuranceClassification of risks, risk measures, and basics of insurance mathematics3 articles
18 minBegin → - M IIActuarial Mathematics: Reliability TheorySurvival functions, mortality tables, and life insurance3 articles
18 minBegin → - M IIIReliability Theory of SystemsSystem failures, FTA, RBD, and maintenance3 articles
18 minBegin → - M IVCredit Risk and Default RiskDefault models, credit derivatives, and Basel3 articles
18 minBegin → - M VExtreme Events and Tail RisksExtreme value theory, catastrophes, and stress testing3 articles
18 minBegin →
§ 03 — Learning outcomes
4 outcomes.
Construct and analyze actuarial models for assessing risks and insurance liabilities
Compute net premiums and reserves for life insurance and pensions
Analyze aggregate loss and reinsurance models
Apply actuarial methods to financial risk management
§ 04 — Practices