What Is Actuarial Science? Career Path and Role

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Actuarial science is the discipline that uses probability, statistics and financial mathematics to measure the cost of uncertain future events, such as deaths, illnesses, accidents or retirements, so that insurers, pension plans and other institutions can price their promises and set aside enough money to keep them. The people who practice it are actuaries. Their core job is to turn “this might happen” into a number a business can plan around: how likely an event is, when it is likely to occur, and what it will cost in today’s money.

What Actuarial Science Studies

At its center, actuarial science asks two questions about any risk: how probable is the event, and what will it cost if it happens? Answering both lets an organization decide what to charge for coverage and how much to hold in reserve for claims.

The discipline draws on several connected subjects: mathematics, probability theory, statistics, finance, economics and computer science. Traditional actuarial work revolved around three tools. Mortality analysis studies how death rates vary by age and other characteristics. Life tables summarize those rates into the expected survival pattern of a population. Compound interest links money paid or received at different times, since a claim paid 20 years from now costs less to fund today than a claim paid next year.

A short history

Actuarial science was formalized in the late 17th century, driven by growing demand for long-term insurance. Insurers selling coverage that might not pay out for decades needed a reliable way to estimate how many policyholders would die each year and how much money to set aside.

For most of its history the field used deterministic models: a single set of assumptions (one mortality table, one interest rate) produced one answer for a premium or reserve. Over roughly the last 30 years, two developments changed the practice. High-speed computers made it possible to run large simulations, and actuaries combined stochastic models, which treat inputs such as interest rates and claim counts as random variables, with modern financial theory. Instead of one projected outcome, an actuary can now produce a range of outcomes and the likelihood of each.

How Actuarial Science Quantifies Financial Risk

A simplified, hypothetical example shows the mechanics.

• An insurer covers 1,000 people, each with a one-year life policy paying $100,000.
• The actuary’s mortality assumption for this group is a 0.2% chance of death during the year.
• Expected deaths: 1,000 × 0.002 = 2.
• Expected claims: 2 × $100,000 = $200,000.
• If claims are paid at year-end and the insurer assumes it can earn 4% on its funds, the present value of expected claims is $200,000 ÷ 1.04 ≈ $192,308.

Divided across 1,000 policies, that comes to roughly $192 per policy before expenses, profit margin and a cushion for uncertainty are added. Real pricing layers on much more: different mortality rates by age, sex and health, lapses, expenses, multiple years of coverage and the chance that actual deaths differ from the expected count. That last point is where stochastic modeling matters, because an insurer needs to know not just the average claim cost but how bad a bad year could be.

Where Actuarial Science Is Used

Life insurance and annuities

Life insurance is the classic application. Mortality analysis, life tables and compound interest determine premiums and the reserves an insurer must hold. The same tools are used to design annuities, products that pay a fixed income stream, where the risk runs the other way: the insurer loses money if annuitants live longer than expected.

Actuarial methods are also used to project financial outcomes for the investable assets that non-profit organizations hold through endowments, where the question is how much can be spent each year while preserving the fund.

Health and disability insurance

In health insurance, including employer-provided plans and social insurance, actuaries analyze several population rates:

• Disability: the risk that a person or group becomes disabled.
• Morbidity: how often and how severely a disease occurs in a population.
• Mortality: deaths in a population from a specific disease or event.
• Fertility: the number of children born.

Disability work can be very specific. For veterans injured in the line of duty, for example, disability is rated in percentages according to its extent, and those percentages determine benefit payments.

Property, casualty and general insurance

Actuarial science also applies to property, casualty, liability and general insurance. This coverage is usually written for a renewable period, often a year, and either party can end it when the period closes. Because policies reprice frequently, casualty actuaries focus heavily on ratemaking (setting the price for the next period) and estimating claim liabilities, the money owed on claims that have occurred but are not yet fully paid.

Pensions

In pensions, actuaries compare the costs of designing, funding, managing and maintaining plans. The main subject is the defined-benefit plan, in which an employer sets aside contributions and promises employees specified payments in retirement.

Interest rates have a large effect on these plans. Pension funds invest heavily in government and corporate bonds, so when short-term and long-term rates are low, a plan earns less on its holdings, raising the probability that it will run short of money to pay promised benefits.

Other factors shape a plan’s viability:

• benefit arrangements and collective bargaining agreements
• the employer’s competitive position
• changing workforce demographics
• tax law and IRS rules on how pension surpluses are calculated
• broader economic conditions and market trends

Government programs

Actuaries also work in the public sector, helping evaluate proposed changes to programs such as Social Security and Medicare. The questions mirror private pension work on a national scale: how many people will collect benefits, for how long, and whether projected revenue will cover the cost.

The Actuary’s Role

Across these settings, an actuary’s work centers on forecasting liabilities and helping the organization manage them. In practice that means building and maintaining models, choosing assumptions (mortality, morbidity, interest rates, claim frequency), pricing products, estimating reserves and reporting results to management and regulators.

Actuarial scientists and actuaries overlap but are not always the same people. An actuarial scientist often studies or researches the discipline, including in academia, while an actuary is usually a practitioner working toward or holding professional credentials.

Career Path: Education and Credentials

University programs

Many universities offer actuarial science degrees and courses. The Society of Actuaries recognizes schools at three levels:

• UCAP-Introduction Curriculum: the school maintains course requirements covering two professional actuarial exams, plus other approved course requirements.
• UCAP-Advanced Curriculum: the school’s courses cover four professional exams, plus other approved requirements.
• Center of Actuarial Excellence (CAE): the highest tier, for schools meeting eight specific requirements across a range of areas.

As of December 2022, about 25 schools held CAE status across the United States, Canada, Australia, Singapore, the United Kingdom and China. U.S. examples include Brigham Young, Georgia State, Purdue, the University of Connecticut and the University of Michigan. A degree in actuarial science is common preparation, but the professional exams, not the degree, are what lead to credentials.

Casualty Actuarial Society credentials

The CAS focuses on property and casualty work and offers two membership levels with rising requirements: Associate (ACAS), earned after passing six exams, and Fellow (FCAS), earned after nine. The exams on the path to FCAS cover:

• Probability
• Financial mathematics
• Financial economics
• Modern actuarial statistics
• Basic techniques for ratemaking and estimating claim liabilities
• Regulation and financial reporting
• Policy liabilities, insurance company valuation and enterprise risk management
• Advanced ratemaking

Society of Actuaries credentials

The SOA covers life, health, pension and investment work:

• Associate of the Society of Actuaries (ASA): shows knowledge of the fundamentals of modeling and managing risk. Required exams include topics in predictive analytics, economics, probability and financial markets.
• Chartered Enterprise Risk Analyst (CERA): focuses on identifying, measuring and managing risk in risk-bearing enterprises. Like the ASA, it includes a professional course on the code of conduct.
• Fellow of the Society of Actuaries (FSA): shows in-depth knowledge of financial decisions involving pensions, life insurance, health insurance and investments, and the ability to apply the right techniques in each area.

Exam requirements change over time, so candidates should work from the current syllabus published by the relevant society.

A typical sequence

1. Build a base in calculus, probability and statistics, usually through a bachelor’s degree in actuarial science, mathematics, statistics or a related field.
2. Choose a track: property and casualty (CAS) or life, health, pension and investment work (SOA).
3. Pass the first exams, often while still in school.
4. Take an entry-level actuarial role and continue exams while working.
5. Earn the associate credential (ACAS or ASA).
6. Continue to fellowship (FCAS or FSA), or pursue a specialist designation such as CERA.

Job outlook and pay

The U.S. Bureau of Labor Statistics projected actuary employment to grow 23% from 2022 to 2032. The median annual wage for actuaries was $113,990 in 2021.

Is Actuarial Science Difficult?

Yes. The exams are the main hurdle: each typically lasts three to five hours and requires extensive preparation. Most candidates first spend three to five years on a bachelor’s degree, then several more years at minimum on exams, often while working full time. Associate level comes earlier, but the full path to fellowship can take up to a decade or longer, so actuaries usually work in the field for years before holding the senior credential.

What Math Do Actuaries Use?

The core toolkit is probability, statistics and financial mathematics, applied as in the life insurance example above. Calculus is usually a prerequisite for the coursework and exams, but actuaries generally use it little in day-to-day work. Programming and modeling skills matter more as stochastic simulation has become standard.

The Bottom Line

Actuarial science matters to insurers, pension plans and government programs that must price long-term promises and hold enough money to keep them. For students weighing the career, the path is long: a math-heavy degree, then years of three-to-five-hour exams, often taken while working. Strong projected job growth and a six-figure median wage reward candidates who can commit to that path.