Actuarium

Exams

Study guides, original practice questions with worked solutions, and past-paper strategy for every CAS, SOA and CPCU exam — each linked to the Library so you study the concept, not just the syllabus.

43 exams & requirements361 practice questionsKaTeX-rendered solutions

Casualty Actuarial Society — ACAS and FCAS for property & casualty.

Preliminary

Exam 1 Probability (P)

Preliminary

Exam P/1 tests calculus-based probability: set theory, conditional probability and Bayes, discrete and continuous univariate distributions, transformations, moment generating functions, and joint/conditional/marginal distributions. It is shared with the SOA and is the usual first exam.

30 multiple-choice3 hours300 study hrs9 MC · 2 written

Exam 2 Financial Mathematics (FM)

Preliminary

Exam FM/2 covers interest theory: accumulation functions, nominal and effective rates, annuities, loan amortization and sinking funds, bond pricing and amortization, yield curves and spot/forward rates, duration, convexity, and immunization. Derivatives were removed from the FM syllabus in 2022; the emphasis is now firmly on cash-flow valuation.

30 multiple-choice2.5 hours250 study hrs9 MC · 2 written

MAS-I Modern Actuarial Statistics I

Preliminary

MAS-I covers Poisson processes and Markov chains, survival and reliability, parametric estimation and hypothesis testing, GLMs with an actuarial lens, and ARIMA time-series basics. It is the first exam with an explicit modeling mindset.

45 multiple-choice4 hours350 study hrs9 MC · 2 written

MAS-II Modern Actuarial Statistics II

Preliminary

MAS-II is the credibility and modern-modeling exam: classical and Bayesian credibility, conjugate priors and MCMC diagnostics, penalized regression, tree ensembles, and linear mixed models as a generalization of Bühlmann–Straub.

45 multiple-choice4 hours350 study hrs9 MC · 2 written

Associateship (ACAS)

Fellowship (FCAS)

Non-exam requirement

Study-plan builder

Choose your exam, dates and weekly time blocks. The builder weights weeks by syllabus topic, reserves the final 15% for review and mock exams, and tracks every session you complete.

Pick your study days; block lengths are scaled to hit your weekly target.

Mon1.5h
Wed1.5h
Sat5h

Suggested timeline: 40 weeks at 8 h/week (≈450 recommended hours incl. 15% review)

TopicWeightHoursResourcesPractice
Stochastic calculus & derivative pricing
  • Apply Itô's lemma and the risk-neutral measure to price European and path-dependent derivatives.
  • Derive the Black–Scholes PDE and interpret the Greeks.
  • Price options via binomial trees, Monte Carlo and finite-difference methods.
  • Explain the volatility smile and its implications for model choice.
35%134 1 MC · 2 written
Interest-rate models
  • Describe and compare short-rate models (Vasicek, CIR, Hull–White) and their term-structure implications.
  • Price bonds and bond options in an affine model.
  • Explain the HJM and LIBOR market model frameworks.
  • Calibrate a term-structure model to caps/swaptions.
30%115 1 MC · 1 written
Credit risk & structured products
  • Compare structural (Merton) and reduced-form credit models.
  • Price a credit default swap from hazard rates and recovery assumptions.
  • Explain the mechanics and risks of securitisations and tranching.
  • Assess counterparty credit risk (CVA) concepts.
20%77 1 MC · 1 written
Numerical methods & model risk
  • Apply variance-reduction techniques (antithetic, control variates, quasi-random).
  • Assess discretisation error and convergence in simulation.
  • Identify model risk in derivative pricing and hedging.
  • Explain the limits of calibration and parameter stability.
15%57 1 MC

12 weeks · 96 planned hours for SOA QFI QF · recommended ≈450 hrs (354 short)

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