What This Exam Validates
The Advanced Short-Term Actuarial Mathematics examination is administered by the Society of Actuaries. It evaluates candidates on fundamental actuarial methods useful in modeling, ratemaking, and reserving for short-term coverages. The registration fee is $500, and candidates are given a duration of 180 minutes to complete the assessment at a Prometric center.
Who Should Take This Exam
Actuarial candidates pursuing credentials with the Society of Actuaries who possess prior mathematical knowledge and need to demonstrate advanced short-term actuarial mathematics knowledge during their credentialing process.
Skills You Should Be Ready to Demonstrate
- Severity models
- Aggregate models
- Coverage modifications
- Parametric models
- Credibility
- Short-term reserving and pricing
How to Prepare
Start your preparation by reviewing the applicable syllabus, study materials, past exam questions, and official model solutions. Study the required domains carefully to ensure you are fully prepared for all six questions worth a total of 60 points on test day using official resources.
Domain Study Guidance
Severity Models: Study Guidance
This domain focuses heavily on severity distributions, parameter effects, and creating new distributions through advanced techniques like mixing, splicing, and exponentiation to understand severity characteristics completely without missing any important properties.
- Describe parameter changes on distributions
- Create new distributions
- Interpret characteristics of severity distributions
Aggregate Models: Study Guidance
This domain covers aggregate claims distributions, convolution, recursive formulas, discretized versions of continuous distributions, and compound Poisson models for extensive actuarial calculations and probabilistic modeling within the scope of the assessment syllabus.
- Derive probability and distribution functions
- Derive discretized versions of continuous distributions
- Perform calculations for sums of compound Poisson models
Coverage Modifications: Study Guidance
This domain addresses the effects of deductibles, policy limits, maximum covered loss, coinsurance, stop loss reinsurance, inflation, and loss elimination ratios on coverage modifications required for professional actuarial practice and credentialing.
- Evaluate coverage modifications
- Calculate loss elimination ratios and increased limits factors
- Evaluate effects of inflation on losses
Construction and Selection of Parametric Models: Study Guidance
This domain deals with estimating frequency and severity parameters using maximum likelihood estimation, estimating variance, and constructing proper confidence intervals for statistical models based on the official guidelines and curriculum requirements provided.
- Estimate parameters by maximum likelihood
- Construct normal and non-normal confidence intervals
- Use the delta method for variance estimation
Credibility: Study Guidance
This domain explores Bayesian credibility, Bühlmann and Bühlmann-Straub models, and empirical Bayesian estimation methods in nonparametric and semiparametric cases for actuarial practice as outlined in the official examination syllabus documentation.
- Apply Bayesian credibility
- Apply Bühlmann and Bühlmann-Straub models
- Apply empirical Bayesian estimation
Reserving and Pricing for Short-Term Insurance Coverages: Study Guidance
This domain involves techniques and statistical models for estimating outstanding claims reserves, expected loss ratios, chain-ladder methods, and conducting complete trend analysis for short-term insurance coverages during the credentialing process.
- Apply estimation techniques for outstanding claims
- Apply statistical models like Mack and Poisson models
- Calculate projected losses using trend analysis
Exam-Day Guidance
Complete the exam within 180 minutes at a Prometric center. Answer five questions in the exam answer booklets and one question in an Excel workbook.
Frequently asked questions
How many questions are on the exam?
The exam consists of six questions worth a total of 60 points. One question is answered in an Excel workbook and five questions are answered in exam answer booklets.
What is the passing score?
The passing score for this exam is currently not published on the official retrieved page. You should check with the Society of Actuaries for current requirements.
How long is the exam?
The exam has a total duration of 180 minutes and is administered as a supervised Prometric examination according to the official Society of Actuaries guidelines.
What is the exam fee?
The official Society of Actuaries exam registration fee is priced at $500 as listed on the official exam home page and syllabus documentation for candidates.
Sources and Verification
Verified 2026-09-13
How this page was made
This page was compiled using official Society of Actuaries exam guides, syllabus details, and documentation for the advanced short-term actuarial mathematics examination.
Exam Domains
1.0 Severity Models
13%
- 1.1Describe how changes in the parameters affect the distributions.
- 1.2Create new distributions by multiplication by a constant, raising to a power, exponentiation, mixing and splicing.
- 1.3Understand and interpret the characteristics of severity distributions.
- 1.4Compare two distributions based on various characteristics of their tails, including moments, ratios of moments, limiting tail behavior, hazard rate functions, and mean excess functions.
- 1.5Understand the derivation and characteristics of the Generalized Extreme Value and the Generalized Pareto distributions.
- 1.6Apply the Generalized Extreme Value and the Generalized Pareto distributions to the estimation of tail risk measures and probabilities.
2.0 Aggregate Models
17%
- 2.1Use convolution and recursive formulas to derive probability and distribution functions for aggregate claims distributions with (a,b,0) or (a,b,1) frequency, and with discrete severity distributions.
- 2.2Derive the discretized version of a continuous distribution using the method of rounding and local moment matching.
- 2.3Perform calculations for sums of compound Poisson models.
3.0 Coverage Modifications
13%
- 3.1Evaluate the effects of the following coverage modifications: deductibles, policy limits, maximum covered loss, coinsurance, and stop loss reinsurance.
- 3.2Calculate and interpret loss elimination ratios, increased limits factors, and deductible factors.
- 3.3Evaluate and interpret the effects of inflation on losses.
4.0 Construction and Selection of Parametric Models
19%
- 4.1Estimate the parameters for frequency and severity distributions by maximum likelihood.
- 4.2Estimate the variance of the estimators and construct normal and non-normal confidence intervals.
- 4.3Use the delta method to estimate the variance of the maximum likelihood estimator of a function of the parameter(s).
- 4.4Estimate the parameters for severity, frequency, and aggregate distributions using Bayesian Estimation.
- 4.5Perform model selection using: Graphical procedures; Hypothesis tests, including Kolmogorov-Smirnov, Chi-square goodness-of-fit, and Likelihood ratio (LRT) tests; Score-based approaches, including Schwarz Bayesian Criterion (SBC), Bayesian Information Criterion (BIC), and Akaike Information Criterio
5.0 Credibility
16%
- 5.1Explain and apply Bayesian (greatest accuracy) credibility.
- 5.2Apply Bühlmann and Bühlmann-Straub models and understand their relationship to Bayesian models.
- 5.3Explain and apply empirical Bayesian estimation in the nonparametric and semiparametric cases.
6.0 Reserving and Pricing for Short-Term Insurance Coverages
22%
- 6.1Understand, interpret, and apply techniques for estimating outstanding claims, using the following methods: Expected Loss Ratio; Chain-Ladder; Bornhuetter-Ferguson; Bayesian; Frequency and Severity.
- 6.2Understand, interpret, and apply the following statistical models and assumptions used for outstanding claims reserves: Mack’s model; Poisson model; Overdispersed Poisson model.
- 6.3Calculate projected losses using trend analysis.
- 6.4Calculate overall average rates and rate changes using the loss cost and loss ratio methods.
- 6.5Calculate risk classification differential changes, including balancing back.