Actuary

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An actuary is a professional with advanced mathematical skills who deals with the measurement and management of risk and uncertainty.Template:Sfn These risks can affect both sides of the balance sheet and require asset management, liability management, and valuation skills.Template:Sfn Actuaries provide assessments of financial security systems, with a focus on their complexity, their mathematics, and their mechanisms.Template:Sfn The name of the corresponding academic discipline is actuarial science.

While the concept of insurance dates to antiquity,Template:Sfn Template:Sfn Template:Sfn the concepts needed to scientifically measure and mitigate risks have their origins in 17th-century studies of probability and annuities.Template:Sfn Actuaries in the 21st century require analytical skills, business knowledge, and an understanding of human behavior and information systems; actuaries use this knowledge to design programs that manage risk,Template:Sfn by determining if the implementation of strategies proposed for mitigating potential risks does not exceed the expected cost of those risks actualized. The steps needed to become an actuary, including education and licensing, are specific to a given country, with various additional requirements applied by regional administrative units; however, almost all processes impart universal principles of risk assessment, statistical analysis, and risk mitigation, involving rigorously structured training and examination schedules, taking many years to complete.Template:Sfn

The profession has consistently been ranked as one of the most desirable.Template:Sfn In various studies in the United States, being an actuary has been ranked first or second multiple times since 2010.Template:Sfn Template:Sfn

ResponsibilitiesEdit

Actuaries use skills primarily in mathematics—particularly calculus-based probability and mathematical statistics—but also economics, computer science, finance, and business. For this reason, actuaries are essential to several sectors:

to the insurance and reinsurance industries, either as staff employees or as consultants;
to other businesses, including sponsors of pension plans;
and to government agencies such as the Government Actuary's Department in the United Kingdom or the Social Security Administration in the United States.

Actuaries assemble and analyze data to estimate the probability and likely cost of an event such as death, sickness, injury, disability, or property loss. Actuaries also answer financial questions: these questions include the level of pension contributions needed to produce a certain retirement income, and how a company should invest resources to maximize the return on investment in light of potential risk. Using broad knowledge, actuaries help to design and price insurance policies, pension plans, and other financial strategies so as to ensure that the plans are maintained on a sound financial basis.Template:Sfn Template:Sfn

DisciplinesEdit

Most traditional actuarial disciplines fall into two main categories: life and non-life.

Life actuaries, who include health and pension actuaries, primarily deal with three kinds of risk: mortality, morbidity, and investment. Products prominent in their work include life insurance, annuities, pensions, short and long term disability insurance, health insurance, health savings accounts, and long-term care insurance.Template:Sfn In addition to actuarial risks, social insurance programs are influenced by public opinion, politics, budget constraints, changing demographics, and other factors such as medical technology, inflation, and cost of living considerations.Template:Sfn

Non-life actuaries, also known as "property and casualty" (mainly US) or "general insurance" (mainly UK) actuaries, deal with both physical and legal risks that affect people or their property. Products prominent in their work include auto insurance, homeowners insurance, commercial property insurance, workers' compensation, malpractice insurance, product liability insurance, marine insurance, terrorism insurance, and other types of liability insurance.Template:Sfn

Actuaries are also consulted for their expertise in enterprise risk management.Template:Sfn This work may involve dynamic financial analysis, stress testing, the formulation of corporate risk policy, and the establishment and operation of corporate risk departments.Template:Sfn Actuaries are also involved in other areas of economics and finance, such as analyzing securities offerings or market research.Template:Sfn

Traditional employmentEdit

For both life and casualty actuaries, their classic role is calculating premiums and reserves for insurance policies that cover various risks.Template:Sfn On the casualty side, analysis often involves quantifying the probability of a loss event (called the frequency) and the size of that loss event (called the severity). The amount of time occurring before the loss event is important, because the insurer will only need to pay after the event has occurred. On the life side, analysis often involves quantifying the worth of a potential sum of money or a financial liability at different times in the future. Since neither of these analysis types is a purely deterministic process, stochastic models are often used to determine frequency and severity distributions, as well as the parameters of these distributions. Forecasting interest yields and currency movements also plays a role in determining future costs, especially for life actuaries.Template:Sfn

Actuaries do not always attempt to predict aggregate future events. Often their work relates to determining the cost of financial liabilities that have already occurred, called retrospective reinsurance,Template:Sfn or the development or re-pricing of new products.Template:Sfn

Actuaries also design and maintain products and systems. They participate in financial reporting of companies' assets and liabilities. Actuaries must communicate complex concepts to clients who may not share their language or depth of knowledge. They work under a code of ethics that covers their communications and work products.Template:Sfn

Non-traditional employmentEdit

As an outgrowth of more traditional roles, actuaries also work in the fields of risk management and enterprise risk management for both financial and non-financial corporations.Template:Sfn Actuaries in traditional roles study and use tools and data previously in the domain of finance.Template:Sfn Two accords—the Basel II accord for financial institutions (2004), and the analogous Solvency II accord for insurance companies (in force since 2016)—require institutions to account for operational risk separately, in addition to credit, reserve, asset, and insolvency risk. Actuarial skills are well suited to this context, because actuaries are trained in analyzing various forms of risk, and judging the potential for gain and loss associated with these forms of risk.Template:Sfn

Actuaries also participate in investment advising and asset management, and can be general business managers and chief financial officers.Template:Sfn Template:Sfn They analyze business prospects using financial skills in valuing or discounting risky future cash flows; they also apply pricing expertise in insurance to other lines of business. For example, insurance securitization requires both actuarial and finance skills.Template:Sfn Actuaries also act as expert witnesses in court trials, by using analysis to estimate the economic value of losses such as lost profits or lost wages.Template:Sfn

HistoryEdit

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File:Nathaniel Bowditch (1773-1838), American mathematician and actuary.jpeg

Mathematician Nathaniel Bowditch was one of America's first insurance actuaries.

Need for insuranceEdit

The basic requirements of communal interests gave rise to risk sharing since the dawn of civilization.Template:Sfn For example, people who lived their entire lives in a camp had the risk of fire, which would leave their band or family without shelter. After barter came into existence, more complex risks emerged and new forms of risk manifested. Merchants embarking on trade journeys bore the risk of losing goods entrusted to them, their own possessions, or even their lives. Intermediaries developed to warehouse and trade goods, which exposed them to financial risk. The primary providers in extended families or households ran the risk of premature death, disability or infirmity, which could leave their dependents to starve. Credit procurement was difficult if the creditor worried about repayment in the event of the borrower's death or infirmity. Alternatively, people sometimes lived too long from a financial perspective, exhausting their savings, if any, or becoming a burden on others in the extended family or society.Template:Sfn

Early attemptsEdit

In the ancient world there was not always room for the sick, suffering, disabled, aged, or the poor—these were often not part of the cultural consciousness of societies.Template:Sfn Early methods of protection, aside from the normal support of the extended family, involved charity; religious organizations or neighbors would collect for the destitute and needy. By the middle of the 3rd century, charitable operations in Rome supported 1,500 suffering people.Template:Sfn Charitable protection remains an active form of support in the modern era,Template:Sfn but receiving charity is uncertain and often accompanied by social stigma.Template:Sfn

Elementary mutual aid agreements and pensions did arise in antiquity.Template:Sfn Early in the Roman empire, associations were formed to meet the expenses of burial, cremation, and monuments—precursors to burial insurance and friendly societies. A small sum was paid into a communal fund on a weekly basis, and upon the death of a member, the fund would cover the expenses of rites and burial. These societies sometimes sold shares in the building of columbāria, or burial vaults, owned by the fund.Template:Sfn Other early examples of mutual surety and assurance pacts can be traced back to various forms of fellowship within the Saxon clans of England and their Germanic forebears, and to Celtic society.Template:Sfn

Non-life insurance started as a hedge against loss of cargo during sea travel. Anecdotal reports of such guarantees occur in the writings of Demosthenes, who lived in the 4th century BCE.Template:Sfn The earliest records of an official non-life insurance policy come from Sicily, where there is record of a 14th-century contract to insure a shipment of wheat.Template:Sfn In 1350, Lenardo Cattaneo assumed "all risks from act of God, or of man, and from perils of the sea" that may occur to a shipment of wheat from Sicily to Tunis up to a maximum of 300 florins. For this he was paid a premium of 18%.Template:Sfn

Development of theoryEdit

File:Excerpt from CDC 2003 Table 1.pdf

2003 U.S. mortality (life) table, Table 1, Page 1

During the 17th century, a more scientific basis for risk management was being developed. In 1662, a London draper named John Graunt showed that there were predictable patterns of longevity and death in a defined group, or cohort, of people, despite the uncertainty about the future longevity or mortality of any one individual. This study became the basis for the original life table. Combining this idea with that of compound interest and annuity valuation, it became possible to set up an insurance scheme to provide life insurance or pensions for a group of people, and to calculate with some degree of accuracy each member's necessary contributions to a common fund, assuming a fixed rate of interest. The first person to correctly calculate these values was Edmond Halley.Template:Sfn In his work, Halley demonstrated a method of using his life table to calculate the premium someone of a given age should pay to purchase a life-annuity.Template:Sfn

Early actuariesEdit

James Dodson's pioneering work on the level premium system led to the formation of the Society for Equitable Assurances on Lives and Survivorship (now commonly known as Equitable Life) in London in 1762. This was the first life insurance company to use premium rates that were calculated scientifically for long-term life policies, using Dodson's work. After Dodson's death in 1757, Edward Rowe Mores took over the leadership of the group that eventually became the Society for Equitable Assurances. It was he who specified that the chief official should be called an actuary.Template:Sfn Previously, the use of the term had been restricted to an official who recorded the decisions, or acts, of ecclesiastical courts, in ancient times originally the secretary of the Roman senate, responsible for compiling the Acta Senatus.Template:Sfn Other companies that did not originally use such mathematical and scientific methods most often failed or were forced to adopt the methods pioneered by Equitable.Template:Sfn

Development of the modern professionEdit

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In the 18th and 19th centuries, computational complexity was limited to manual calculations. The calculations required to compute fair insurance premiums can be burdensome. The actuaries of that time developed methods to construct easily used tables, using arithmetical short-cuts called commutation functions, to facilitate timely, accurate, manual calculations of premiums.Template:Sfn In the mid-19th century, professional bodies were founded to support and further both actuaries and actuarial science, and to protect the public interest by ensuring competency and ethical standards.Template:Sfn Since calculations were cumbersome, actuarial shortcuts were commonplace.

Non-life actuaries followed in the footsteps of their life compatriots in the early 20th century. In the United States, the 1920 revision to workers' compensation rates took over two months of around-the-clock work by day and night teams of actuaries.Template:Sfn In the 1930s and 1940s, rigorous mathematical foundations for stochastic processes were developed.Template:Sfn Actuaries began to forecast losses using models of random events instead of deterministic methods. Computers further revolutionized the actuarial profession. From pencil-and-paper to punchcards to microcomputers, the modeling and forecasting ability of the actuary has grown vastly.Template:Sfn

Another modern development is the convergence of modern finance theory with actuarial science.Template:Sfn In the early 20th century, some economists and actuaries were developing techniques that can be found in modern financial theory, but for various historical reasons, these developments did not achieve much recognition.Template:Sfn<ref>They were relevant to, and achieved recognition from, short-term derivatives traders and the like, but most actuaries ignored them because they were unsuitable for long-term actuarial calculations; they relied heavily on parameter values that were derived from obsolete economic history and were extremely uncertain – in effect, arbitrary – in the context of predicting the longer-term future.</ref> In the late 1980s and early 1990s, there was a distinct effort for actuaries to combine financial theory and stochastic methods into their established models.Template:Sfn In the 21st century, the profession, both in practice and in the educational syllabi of many actuarial organizations, combines tables, loss models, stochastic methods, and financial theory,Template:Sfn but is still not completely aligned with modern financial economics.Template:Sfn

Remuneration and rankingEdit

As there are relatively few actuaries in the world compared to other professions, actuaries are in high demand, and are highly paid for the services they render.Template:Sfn Template:Sfn

The actuarial profession has been consistently ranked for decades as one of the most desirable. Actuaries work comparatively reasonable hours, in comfortable conditions, without the need for physical exertion that may lead to injury, are well paid, and the profession consistently has a good hiring outlook.Template:Sfn Not only has the overall profession ranked highly, but it also is considered one of the best professions for women,Template:Sfn and one of the best recession-proof professions.Template:Sfn

Credentialing and examsEdit

{{#invoke:Labelled list hatnote|labelledList|Main article|Main articles|Main page|Main pages}} Becoming a fully credentialed actuary requires passing a rigorous series of professional examinations, usually taking several years. In some countries, such as Denmark, most study takes place in a university setting.Template:Sfn In others, such as the US, most study takes place during employment through a series of examinations.Template:Sfn Template:Sfn In the UK, and countries based on its process, there is a hybrid university-exam structure.Template:Sfn

Exam supportEdit

As these qualifying exams are extremely rigorous, support is usually available to people progressing through the exams. Often, employers provide paid on-the-job study time and paid attendance at seminars designed for the exams.Template:Sfn Also, many companies that employ actuaries have automatic pay raises or promotions when exams are passed. As a result, actuarial students have strong incentives for devoting adequate study time during off-work hours. A common rule of thumb for exam students is that, for the Society of Actuaries examinations, roughly 400 hours of study time are necessary for each four-hour exam.Template:Sfn Thus, thousands of hours of study time should be anticipated over several years, assuming no failures.Template:Sfn

Pass marks and pass ratesEdit

Historically, the actuarial profession has been reluctant to specify the pass marks for its examinations.Template:Sfn Template:Sfn To address concerns that there are pre-existing pass/fail quotas, a former chairman of the Board of Examiners of the Institute and Faculty of Actuaries stated: "Although students find it hard to believe, the Board of Examiners does not have fail quotas to achieve. Accordingly, pass rates are free to vary (and do). They are determined by the quality of the candidates sitting the examination and in particular how well prepared they are. Fitness to pass is the criterion, not whether you can achieve a mark in the top 40% of candidates sitting."Template:Sfn In 2000, the Casualty Actuarial Society (CAS) decided to start releasing pass marks for the exams it offers.Template:Sfn The CAS's policy is also not to grade to specific pass ratios; the CAS board affirmed in 2001 that "the CAS shall use no predetermined pass ratio as a guideline for setting the pass mark for any examination. If the CAS determines that 70% of all candidates have demonstrated sufficient grasp of the syllabus material, then those 70% should pass. Similarly, if the CAS determines that only 30% of all candidates have demonstrated sufficient grasp of the syllabus material, then only those 30% should pass."Template:Sfn

Notable actuariesEdit

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Nathaniel Bowditch (1773–1838): Early American mathematician remembered for his work on ocean navigation. In 1804, Bowditch became what was probably the United States of America's second insurance actuary as president of the Essex Fire and Marine Insurance Company in Salem, Massachusetts Template:Sfn
Harald Cramér (1893–1985): Swedish actuary and probabilist notable for his contributions in mathematical statistics, such as the Cramér–Rao inequality.Template:Sfn Cramér was an Honorary President of the Swedish Actuarial Society Template:Sfn
James Dodson (c. 1705 – 1757): Head of the Royal Mathematical School, and Stone's School, Dodson built on the statistical mortality tables developed by Edmund Halley in 1693 Template:Sfn
Edmond Halley (1656–1742): While Halley actually predated much of what is now considered the start of the actuarial profession, he was the first to rigorously calculate premiums for a life insurance policy mathematically and statistically Template:Sfn
James C. Hickman (1927–2006): American actuarial educator, researcher, and author Template:Sfn
Oswald Jacoby (1902–1984): American actuary best known as a contract bridge player, he was the youngest person ever to pass four examinations of the Society of Actuaries Template:Sfn
David X. Li: Canadian qualified actuary who in the first decade of the 21st century pioneered the use of Gaussian copula models for the pricing of collateralized debt obligations (CDOs) Template:Sfn
Edward Rowe Mores (1731–1778): First person to use the title 'actuary' with respect to a business position Template:Sfn
William Morgan (1750–1833): Morgan was the appointed Actuary of the Society for Equitable Assurances in 1775. He expanded on Mores's and Dodson's work, and may be considered the father of the actuarial profession in that his title became applied to the field as a whole. Template:Sfn
Robert J. Myers (1912–2010): American actuary who was instrumental in the creation of the U.S. Social Security program Template:Sfn
Frank Redington (1906–1984): British actuary who developed the Redington Immunization Theory.Template:Sfn
Isaac M. Rubinow (1875–1936): Founder and first president of the Casualty Actuarial Society.Template:Sfn
Elizur Wright (1804–1885): American actuary and abolitionist, professor of mathematics at Western Reserve College (Ohio). He campaigned for laws that required life insurance companies to hold sufficient reserves to guarantee that policies would be paid.Template:Sfn

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Fictional actuariesEdit

Template:See also Actuaries have appeared in works of fiction including literature, theater, television, and film. At times, they have been portrayed as "math-obsessed, socially disconnected individuals with shockingly bad comb-overs", which has resulted in a mixed response amongst actuaries themselves.Template:Sfn