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

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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.

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Suggested timeline: 37 weeks at 8 h/week (≈250 recommended hours incl. 15% review)

TopicWeightHoursResourcesPractice
Time value of money
  • Compute present and accumulated values under simple, compound, and nominal/effective interest and discount rates.
  • Convert among nominal, effective and force-of-interest rates over varying compounding frequencies.
  • Solve for unknown time, rate or amount in single-payment time-value equations.
  • Apply inflation-adjusted (real) interest rates to cash flow valuation.
12%26 1 MC
Annuities
  • Compute present and accumulated values of annuities-immediate, annuities-due, and continuous annuities, including deferred and perpetuity cases.
  • Value annuities with varying (arithmetically or geometrically increasing/decreasing) payments.
  • Compute values of annuities payable more/less frequently than interest is convertible.
  • Solve for unknown payment, term or rate given an annuity's present or accumulated value.
20%43 2 MC
Loans
  • Construct an amortization schedule showing interest and principal components of each loan payment.
  • Compute outstanding loan balance using the prospective and retrospective methods.
  • Apply the sinking fund method to loan repayment and compare it with amortization.
  • Compute the effect of a lump-sum extra payment or refinancing on remaining loan cash flows.
15%32 1 MC
Bonds
  • Compute bond price given yield rate, coupon rate, and redemption value, including premium/discount amortization.
  • Construct a bond amortization schedule using the effective-interest method and determine book value at any time.
  • Compute the yield rate of a bond given its price, including callable bond scenarios.
  • Apply Makeham's formula and other shortcuts for pricing bonds.
15%32 2 MC
General cash flows & portfolios
  • Compute the internal rate of return (yield rate) of a general cash flow stream and assess its uniqueness.
  • Compute dollar-weighted and time-weighted rates of return for an investment portfolio.
  • Apply the portfolio and investment-year (new money) methods of crediting interest.
  • Compute the duration, convexity and volatility of a set of cash flows.
17%36 2 MC
Immunization
  • Compute Macaulay and modified duration and convexity for assets, liabilities, and portfolios.
  • Apply Redington immunization conditions to construct an asset portfolio immunized against small interest-rate shifts.
  • Apply full immunization (cash-flow matching) techniques and compare with Redington immunization.
  • Assess the impact of a non-parallel yield curve shift on an immunized portfolio.
11%23 0 MC · 1 written
Interest-rate swaps
  • Describe the mechanics and cash flows of a plain-vanilla interest-rate swap.
  • Compute the swap rate that equates the present values of fixed and floating legs.
  • Value a swap position at a point in time given the current forward rate structure.
  • Explain the use of swaps to manage interest-rate exposure of an asset/liability portfolio.
5%11 1 MC
Determinants of interest rates
  • Describe the components of a market interest rate (real rate, inflation premium, risk premiums).
  • Interpret the term structure of interest rates and forward rate relationships implied by spot rates.
  • Describe theories of the yield curve (expectations, liquidity preference, market segmentation).
  • Assess how central bank policy and macroeconomic conditions influence short- and long-term rates.
5%11 1 MC

12 weeks · 96 planned hours for SOA FM · recommended ≈250 hrs (154 short)

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