How to Pass Exam FAM in 4 Months: Study Plan + Pitfalls (2026)

SOA Exam FAM (Fundamentals of Actuarial Mathematics) is 34 multiple-choice questions in 3.5 hours, delivered by computer, and 57.0% passed at the July 2026 sitting on a 60% pass mark (SOA). It combines the short-term insurance math from the old STAM with the long-term life contingencies from the old LTAM.

Candidates who breeze through P and FM often hit a wall on FAM. The math is no harder than P, but half the paper is short-term insurance math and half is life contingencies, and almost nobody arrives strong on both. A candidate who liked P and skimmed the life contingencies chapters walks in with 17 questions of unfamiliar territory.

What's on FAM

The July 2026 syllabus lists ten topics with weight ranges (SOA), and they fall into two halves.

The short-term half is roughly 35 to 60% of the exam: short-term insurance and reinsurance coverages (5 to 10%); severity, frequency and aggregate models (12.5 to 17.5%), including deductibles, policy limits and the (a,b,0) and (a,b,1) frequency classes; parametric estimation by maximum likelihood, including grouped, truncated and censored data (2.5 to 7.5%); introduction to credibility, limited-fluctuation only (2.5 to 5%); pricing and reserving for short-term coverages, meaning expected loss ratio, chain-ladder and Bornhuetter-Ferguson reserving plus ratemaking (10 to 15%); and option pricing fundamentals, meaning binomial trees, Black-Scholes and put-call parity (2.5 to 7.5%).

The long-term half is roughly 40 to 60%: long-term insurance coverages and retirement programs (2.5 to 5%); mortality models, meaning survival functions, force of mortality and life tables (10 to 15%); present value random variables for insurances and annuities (12.5 to 20%); and premium and policy value calculation (15 to 22.5%).

Some things you'll find in older study manuals aren't on FAM: Buhlmann credibility, Kaplan-Meier and Nelson-Aalen estimators, multiple-state models, and forwards and futures. You meet them, if at all, on ALTAM or ASTAM, so don't spend FAM hours on them. The weights shift slightly each cycle, so check the current syllabus before exam day.

The whole exam is multiple choice, with five answer choices per question, in the same computer-based style as P and FM. The SOA trimmed it from 40 questions to 34 starting with the November 2024 sitting, and there's no written-answer section; that starts at ALTAM and ASTAM. You get tables at the exam (abridged inventories of discrete and continuous distributions, plus life and decrement tables), so learn to read them quickly instead of memorizing what's in them.

For practice, FreeFellow has over 1,020 free Exam FAM practice questions with worked solutions at three difficulty levels, and a free FAM formula sheet covering severity distribution moments, life contingency commutations, credibility formulas and put-call parity. The SOA's sample questions come with worked solutions and are written by the same committee that writes the exam. For reference texts, Klugman, Panjer and Willmot's Loss Models covers severity and aggregate models, and Dickson, Hardy and Waters' Actuarial Mathematics for Life Contingent Risks covers life contingencies.

A 4-month plan

This assumes 18 to 22 hours a week, about 3 hours a day, 6 days a week. Over 16 weeks that's 290 to 350 hours. Treat that as a planning budget.

Months 1 and 2: build foundations (130 to 175 hours)

Go deep on the core math: severity distributions, frequency distributions and basic life contingencies.

For severity models, know the PDF, CDF, mean, variance and limited expected value for the exponential, Weibull, Pareto, lognormal and gamma. The exam likes layered coverage problems where you compute the expected payment under several deductible and limit combinations on the same severity distribution, so practice those setups.

For frequency, know the Poisson, binomial and negative binomial: when the Poisson approximates the binomial, when the negative binomial fits (overdispersion in count data), and how compound distributions work, with $S = X_1 + X_2 + \cdots + X_N$ where $N$ is the frequency variable. The (a,b,0) recursive class is testable.

For life contingencies, cover survival functions, force of mortality, life table mechanics, expectation of life, and the basic insurance and annuity present values (whole life, term, endowment, deferred annuity). Memorize how insurance and annuity functions relate: $A_x = 1 - d\,\ddot{a}_x$ for a whole life on $(x)$.

Work 15 to 20 questions a day in topic mode, untimed, and focus on setup and accuracy.

Month 3: heavy practice (60 to 80 hours)

Switch to mixed-topic practice and add the rest: limited-fluctuation credibility, maximum likelihood estimation, short-term reserving (expected loss ratio, chain-ladder, Bornhuetter-Ferguson) with ratemaking, and option pricing (binomial trees, Black-Scholes, put-call parity). Aim for 65% accuracy across all topics.

The questions that separate candidates are multi-step: a policy value that needs a premium first, a Bornhuetter-Ferguson reserve that needs an expected loss ratio first, an MLE on censored data that needs the right likelihood first. On a five-choice exam, a wrong intermediate value usually matches one of the wrong choices. So for every multi-step item, write it out on scratch paper before you touch the calculator:

1. Define the variables you'll use, with units (for example, "Let $X$ be severity, with $X \sim \text{Exponential}(\theta = 1000)$")
2. Write the formula you're applying
3. Substitute the values
4. Compute and box the answer, with units

It's the same habit graders reward on ALTAM and ASTAM. On FAM it protects you from the trap choices and makes it obvious when a number is off by a factor.

Month 4: timed mocks and targeted review (60 to 80 hours)

Take a full 3.5-hour timed mock every 7 to 10 days, and between mocks, drill whatever your last one flagged. Target 70% or higher on your last two mocks and a readiness score of 7+ on FreeFellow's 0 to 10 scale. Timed mocks built from the FAM bank are part of Fellow.

Across the 4 months, aim for 800 to 1,200 questions, at least 100 multi-step setups written out on scratch paper, and 4 to 6 full timed mocks.

Adjust for your background. If you passed P and FM in the last 12 months, severity models will feel like more P and annuity values like more FM, and 12 to 14 weeks is enough. If P and FM were more than 18 months ago, add 2 to 3 weeks of probability and time-value review at the start. If you're coming to FAM without P or FM (the SOA doesn't require them), plan on 350 to 400 hours over about 5 months.

Three pitfalls, and exam day

Drilling only the half you like

Candidates coming from P gravitate to the short-term half, since loss models feel like more probability, and treat the life contingencies chapters as reading. Candidates coming from FM do the reverse. Either way, the half you neglected is 40 to 60% of the paper. Track your accuracy on each half from week 1. FreeFellow's topic analytics (part of Fellow) split the FAM bank the same way the syllabus does, and if your long-term accuracy is 15 points below your short-term accuracy in month 2, that's where the next 20 hours go.

Rusty credibility and MLE mechanics

Credibility (2.5 to 5%) and parametric estimation (2.5 to 7.5%) look small, so candidates leave them for the last week. FAM credibility is limited-fluctuation only: the full-credibility standard from the confidence and tolerance parameters, and the partial-credibility factor $Z$ as the square root of the ratio of observed to required exposure. Estimation is maximum likelihood, and the exam likes complete, grouped, truncated and censored data because each one changes the likelihood you write down.

Most candidates can recite the formulas. Fewer can set up the likelihood for a right-censored sample, or convert a full-credibility standard from claim counts to aggregate losses, under time pressure. The typical credibility question gives you a tolerance (say within 5% of the true mean) and a confidence level (say 90%), asks how many claims you need for full credibility, and then asks for $Z$ when the observed volume falls short. Drill 20 to 30 problems across the two topics and write out the full setup each time.

Skipping option pricing

Option pricing (2.5 to 7.5%) covers a one- or two-period binomial tree, the Black-Scholes price and delta for a simple European option on a non-dividend asset, and put-call parity. It feels like leftover FM, so candidates skim it, and then a question hands them $u$, $d$ and the risk-free rate and they can't build the risk-neutral probability quickly. Spend 4 to 6 hours on it in month 3. Memorize put-call parity ($C - P = S - PV(K)$ for a non-dividend stock), the risk-neutral probability in a binomial tree and the Black-Scholes inputs, and drill 10 to 15 problems. Every question carries the same weight, so a 2-minute option pricing item you drilled counts as much as a 9-minute policy value item.

On exam day

3.5 hours for 34 items is a little over 6 minutes a question. Some take 2 minutes and some take 9. If an item passes 10 minutes, pick the best remaining choice, flag it and move on, since the CBT interface lets you come back. Write the setup for every multi-step item, so that if your answer matches nothing on the list, you can find the slip.

Only the calculators on the SOA's list are allowed: the TI BA II Plus and Professional, the TI-30XS and XB MultiView, the TI-30Xa, the TI-30X II, and the discontinued BA-35. Practice moment and present value calculations on the model you'll bring. I used the BA-II Plus for FAM and every other actuarial exam, and it's worth knowing its TVM keys, nCr and nPr functions and natural log and exponential keys cold.

Get a full night's sleep before the exam. The 3.5 hours take sustained focus, and an all-nighter won't help. You can start with free Exam FAM practice questions on FreeFellow and the FAM formula sheet.