Free SOA Exam ASTAM (Advanced Short-Term Actuarial Mathematics) Practice Questions
The entire SOA Exam ASTAM question bank is free: 963 practice questions on severity models, aggregate losses, coverage modifications, credibility, and reserving. From FreeFellow, where 'free' is in the brand name. No trial, no signup to browse, no credit card.
963 questions6 topics2026 syllabus
Built by Jeffrey Ting, FSA, CFA, who passed thirteen of the hardest finance exams on the first attempt. The full question bank and worked solutions are free forever.
Which of the following best describes Allocated Loss Adjustment Expenses (ALAE)?
🎉
Correct Answer: B
Solution
B is correct.
Allocated Loss Adjustment Expenses (ALAE) are claim-specific costs that can be directly assigned to an individual claim file, including defense counsel fees, expert witness costs, independent medical exams, and outside adjuster fees retained for that particular claim. Because they are identifiable at the claim level, ALAE is included in the total loss cost used in pure premium calculations.
Question 2
Medium
Which of the following is a core assumption of Mack's model for loss reserving?
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Correct Answer: A
Solution
A is correct.
Mack's model (1993) makes three key assumptions: 1. E[Ci,k+1∣Ci,1,…,Ci,k]=fk⋅Ci,k — the expected cumulative losses at the next age depend only on the current cumulative losses through a proportional relationship. 2. Var(Ci,k+1∣Ci,1,…,Ci,k)=σk2⋅Ci,k — variance is proportional to current cumulative losses. 3. {Ci,k}k≥1 are independent across accident years i.
Question 3
Hard
For a compound Poisson S with λ=2 and severity P(X=1)=P(X=2)=0.5, use the Panjer recursion to compute g0, g1, and g2, then find P(S≤2).
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Correct Answer: E
Solution
E is correct.
For compound Poisson with a=0, b=λ=2, and f1=f2=0.5: g0=e−λ=e−2. For s=1: g1=1bf1g0=12(0.5)(e−2)=e−2. For s=2: g2=2bf1g1+22bf2g0=22(0.5)(e−2)+22⋅2(0.5)(e−2)=0.5e−2+e−2=1.5e−2. Therefore P(S≤2)=e−2(1+1+1.5)=3.5e−2≈0.4726.
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Others charge $1,000+. FreeFellow gives you the 70% you need to pass for free.
The full question bank, written solutions, lessons, formula sheet, mixed practice, and readiness tracking for your Exam ASTAM prep are free forever. No trial period, no credit card. Every written-answer problem has a copy-to-AI prompt builder for your own ChatGPT or Claude. Become a Fellow ($79/qtr) only if you want mock exams, flashcards, analytics, AI written-answer grading, and a personalized study plan.
What's Free, and What Fellow Unlocks
The 70% of Exam ASTAM prep you actually need to pass (questions, solutions, lessons, mixed practice, copy-to-AI written-answer prompts) is free forever. The remaining 30% (mocks, flashcards, analytics, study plan, AI written-answer grading) unlocks when you become a Fellow. Use the free tier as long as you like.
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963 practice questions with detailed solutions
Copy-to-AI written-answer prompts for your own ChatGPT or Claude
Mixed practice sessions across all topics
Formula sheet and reference materials
Readiness tracking with pass-probability estimates
No paywalls on questions · no trial period · no credit card
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Timed mock exams with weighted scoring
Spaced-repetition flashcards backed by memory science
Topic-level practice to drill weak areas
Performance analytics by topic and difficulty
AI grading for written-answer problems vs the official rubric
Personalized study plan that adapts to your exam date
How FreeFellow Compares
Per-exam pricing across the major prep providers. The FreeFellow core (questions, solutions, lessons) is free forever. The optional Fellow tier is $79 per quarter, a small fraction of what traditional providers charge.
FreeFellow
$0 · Fellow $79/qtr
Coaching Actuaries
$200–$400/exam
The Infinite Actuary
$150–$350/exam
Traditional providers bundle prep into a single up-front fee. FreeFellow keeps the question bank and lessons free forever and charges only for deeper study tools (mocks, flashcards, analytics). All numbers are competitor list prices as of 2026.
Everything You Need to Pass
The free tier covers what most candidates need to pass. Fellow ($79/qtr) adds the pacing tools.
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963+ Practice QuestionsFREE
Every question includes a detailed, step-by-step solution.
Dates mark the start of each testing window. Projected dates follow the Society of Actuaries's historical exam cadence for sittings the body has not yet published. Confirm dates directly with the Society of Actuaries before registering.
Exam date
Status
Oct 22, 2026
Confirmed
Apr 21, 2027
Projected
Oct 21, 2027
Projected
Frequently Asked Questions
How many free Exam ASTAM practice questions does FreeFellow have?
FreeFellow currently offers 963 free Exam ASTAM practice questions across 6 topics, each with a detailed step-by-step solution. Questions span three difficulty levels and are aligned to the 2026 syllabus. The question bank is updated regularly.
What Exam ASTAM topics are covered?
The questions cover 6 topics: Severity Models, Aggregate Models, Coverage Modifications, Construction and Selection of Parametric Models, Credibility, Reserving and Pricing for Short-Term Insurance Coverages. Each topic page shows your progress and lets you filter by difficulty level. You can practice by topic to target your weak areas or take mixed-topic practice exams.
Is FreeFellow really free for Exam ASTAM prep, or is there a catch?
No catch. The 70% of Exam ASTAM prep you actually need to pass is free forever: the full question bank of 963 practice questions, detailed solutions on every question, mixed practice, the formula sheet, and readiness tracking. No trial period, no credit card. The remaining 30% (timed mock exams, flashcards with spaced repetition, performance analytics, and a personalized study plan) unlocks when you become a Fellow.
What does the $79 Fellow tier unlock for Exam ASTAM?
Fellow ($39 per month or $79 per quarter, per track; the $199 annual is Fellow Plus) unlocks four things on top of the free tier: timed mock exams with weighted scoring that match the real exam blueprint, spaced-repetition flashcards built on memory science from cognitive psychology, topic-level practice to drill weak areas, performance analytics broken down by topic and difficulty, and a personalized study plan that adapts to your exam date. Everything else (questions, solutions, lessons) stays free.
How does FreeFellow compare to Coaching Actuaries, ASM, or TIA on price?
Traditional Exam ASTAM prep providers charge $200 to $3,500 for a single exam, paid upfront. FreeFellow keeps the question bank, written solutions, and lessons free forever. The optional Fellow tier is $79 per quarter (a small fraction of what the big providers charge) and adds mock exams, flashcards, analytics, and a study plan. You can pass Exam ASTAM entirely on the free tier.
How should I use FreeFellow to study for Exam ASTAM?
Start with topic-based practice to identify weak areas. As your exam date approaches, switch to timed practice exams under realistic conditions. The free tier gives you everything you need to build mastery; if you want pacing tools (mock exams, analytics, a study plan) and long-term retention aids (spaced-repetition flashcards), become a Fellow.
What is the Exam ASTAM pass rate?
The Exam ASTAM pass rate is approximately 45-50%, based on historical SOA data. Pass rates vary by sitting. The SOA publishes pass rate statistics after each exam window.
How many hours should I study for Exam ASTAM?
The SOA recommends 250 to 300 study hours for each preliminary exam. Candidates with strong mathematical backgrounds may need 150 to 200 hours, while those new to the material may need 300 to 350 hours. Consistent daily study over 10 to 14 weeks is more effective than cramming.
What calculator is allowed on Exam ASTAM?
The SOA permits a list of Texas Instruments models including the BA II Plus (and Professional), TI-30Xa, TI-30X II, TI-30XS and TI-30XB MultiView, and TI-36X Pro. Most candidates bring the TI-30XS MultiView for statistics-heavy exams and the BA II Plus where time-value-of-money work dominates (FM, FAM, ALTAM).
How is Exam ASTAM scored?
Exam ASTAM is a written-answer exam graded by SOA graders against the point totals published with each question. Scores are reported on a 0-10 scale, with 6 as the passing threshold, several weeks after the sitting.
What is the Exam ASTAM exam format?
Exam ASTAM is a 3-hour written-answer exam offered twice a year (spring and fall). Candidates write out full solutions; there are no multiple-choice questions on the current format.
About FreeFellow
Jeffrey Ting
FSA, CFA · Founder
FreeFellow was built by Jeffrey Ting, a credentialed actuary and CFA charterholder who passed thirteen of the hardest exams in finance on the first attempt, and paid four-figure prep fees for every one. The learning itself was always free. The price was a moat.
So he started writing his own questions, then lessons, then mock exams, until it grew into a full prep platform covering 35 finance credentials with more than 40,000 original practice questions. The name says exactly what it is: the question bank is free, and Fellow is what you become once you pass.
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