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Actuarial science

math Maturity 11-13

Some people use math to plan for the future.

Excerpt from CDC 2003 Table 1.pdf
Excerpt from CDC 2003 Table 1.pdf
They look at what might happen. This helps people stay safe with money. It can help with doctors or jobs. It is a very smart job. Do you like math?

45 words

Some people use math to plan for the future.

Excerpt from CDC 2003 Table 1.pdf
Excerpt from CDC 2003 Table 1.pdf
They look at what might happen. This helps people stay safe with money. It can help with doctors or jobs. They use math to find risks. This helps them lower those risks. They study things like health and age. This helps them plan for things like pensions. It is a very smart job. Many people think it is a great job. Do you like math?

80 words

Imagine you want to plan for a big event in the future. You might wonder how much money you will need. You might wonder what could go wrong. Actuarial science is a way to use math to answer these questions.

Excerpt from CDC 2003 Table 1.pdf
Excerpt from CDC 2003 Table 1.pdf

People who do this work are called actuaries. They use math and statistics to study risk. Risk is the chance that something unexpected might happen. Actuaries look at things like health and age. They use these facts to help with insurance and pensions. A pension is money set aside for when people stop working.

Excerpt from CDC 2003 Table 1.pdf
Excerpt from CDC 2003 Table 1.pdf

Actuaries work in many places. They help with life insurance and healthcare costs. They even help with weather risks like earthquakes. Some use math to help in the justice system. They look at the chance that a person might break a law again.

This job is very important. In 2010, one study called it the number one job in the U.S. In 2024, it was a top job in business. Actuaries must pass many hard tests to show they are experts. They use fast computers to make their math even better.

197 words

Imagine you are planning for a very big event far in the future. You might wonder how much money you will need to save. You might also wonder what unexpected things could happen along the way. Actuarial science is the study of these kinds of questions. It uses math and statistics to figure out risk. Risk is the chance that something might happen that we cannot predict.

Excerpt from CDC 2003 Table 1.pdf
Excerpt from CDC 2003 Table 1.pdf
Actuaries are the professionals who do this work. They help many different industries like insurance, finance, and even medicine. Their main goal is to identify risks so they can help lessen them.

To do this job, actuaries use many different math tools. They use probability, which is the study of how likely things are to happen. They also use statistics to look at patterns in large groups of data. Actuaries must study things like finance, economics, and computer science. In many countries, they must pass very hard exams to prove they are experts. These exams focus on things like predictive analysis. This is a way to use math to guess what might happen next.

Excerpt from CDC 2003 Table 1.pdf
Excerpt from CDC 2003 Table 1.pdf
They use high-speed computers to run these complex math models.

This field has a long and interesting history. Actuarial science became a formal math subject in the late 17th century. This happened because people wanted long-term insurance for things like life and burial. They needed to know how much money to set aside for the future. This required new ways to estimate things like how long people live. They even created a concept called the present value of a future sum. This helps them understand what money today is worth compared to money later.

Excerpt from CDC 2003 Table 1.pdf
Excerpt from CDC 2003 Table 1.pdf
Since the 1980s, computers have changed how they work.

Actuaries work in many important areas of our lives. In health insurance, they look at how often people get sick or injured. They study how people use medicine and doctors in different places. In the pension industry, they help manage money for people who have retired. They also look at how the economy and interest rates change over time. Some actuaries even work in the justice system. They use math models to look at the chance of someone breaking a law again.

Excerpt from CDC 2003 Table 1.pdf
Excerpt from CDC 2003 Table 1.pdf
This work can be used for many different types of insurance.

Being an actuary is considered a very successful career. In 2010, a study by CareerCast ranked it as the number one job in the United States. That study looked at things like pay, stress, and how much people enjoy the work. In 2024, U.S. News & World Report ranked it as the third-best job in business. It was also the eighth-best job in STEM fields. STEM stands for science, technology, engineering, and math.

Excerpt from CDC 2003 Table 1.pdf
Excerpt from CDC 2003 Table 1.pdf
This shows how much the world relies on these math experts.

491 words

Actuarial science is a specialized discipline that applies mathematical and statistical methods to assess risk. Risk refers to the chance that an uncertain event will occur. Professionals who practice this science are called actuaries. They work across many different industries, including insurance, pensions, finance, investment, medicine, and psychology. Their primary goal is to use mathematics to identify risks so they can mitigate them. By predicting potential future events, they help organizations prepare for financial uncertainty.

Excerpt from CDC 2003 Table 1.pdf
Excerpt from CDC 2003 Table 1.pdf

To perform these complex tasks, actuaries rely on several interrelated subjects. These include mathematics, probability theory, and statistics. They also utilize knowledge from finance, economics, financial accounting, and computer science. Actuaries must often pass a series of rigorous professional examinations to prove their competence. These exams focus heavily on probability and predictive analysis. Predictive analysis is the use of data to guess what might happen in the future. Modern actuaries also use high-speed computers to run sophisticated models.

Excerpt from CDC 2003 Table 1.pdf
Excerpt from CDC 2003 Table 1.pdf

The field has seen major shifts in how it functions. Historically, actuarial science used deterministic models to build tables and determine premiums. Deterministic models rely on specific, fixed inputs to reach a result. However, since the 1980s, the field has undergone revolutionary changes. The rise of high-speed computers allowed for the use of stochastic models. Stochastic models account for randomness and uncertainty. These models are often combined with modern financial theory to create more accurate predictions.

Excerpt from CDC 2003 Table 1.pdf
Excerpt from CDC 2003 Table 1.pdf

Actuarial science is applied to many distinct subfields. In life insurance, the focus is on mortality analysis and life tables. Actuaries use compound interest to create annuities and endowment policies. In the health insurance sector, the focus shifts to different contingencies. Actuaries analyze rates of disability, morbidity, and fertility. They also study how the geographical distribution of medical services affects costs. This research helped create the Resource-Base Relative Value Scale at Harvard.

Excerpt from CDC 2003 Table 1.pdf
Excerpt from CDC 2003 Table 1.pdf

The pension industry relies heavily on actuarial methods to manage long-term funds. Actuaries measure the costs of different strategies regarding the design and funding of pension plans. These strategies are influenced by many moving parts. They must consider short-term and long-term bond rates and changing workforce demographics. They also track economic trends and changes in the internal revenue code. When companies merge, actuaries help combine different pension plans on an equitable basis. This ensures that benefits for both current and future retirees are properly valued.

Excerpt from CDC 2003 Table 1.pdf
Excerpt from CDC 2003 Table 1.pdf

Beyond traditional finance, actuarial science is used in property and casualty insurance. These companies often specialize because risks are so diverse. Personal lines include coverage for fire, auto, and homeowners. Commercial lines address business needs like product liability and workers' compensation. Actuaries even help assess risks from catastrophic events like earthquakes or terrorism. In the field of reinsurance, they design arrangements to protect insurance companies from massive claims. They establish reserve funds to prepare for future catastrophes.

Excerpt from CDC 2003 Table 1.pdf
Excerpt from CDC 2003 Table 1.pdf

Some controversial applications of actuarial science exist in criminal justice. In certain U.S. states, actuarial models are used to set criminal sentencing guidelines. These models attempt to predict the chance of re-offending based on factors like age and education. Similarly, models like the Static-99 are used to assess the risk of sex offense recidivism. This helps determine if an individual should be institutionalized or released. However, these uses are often criticized. Some argue these models can provide justification for discrimination against specific ethnic groups.

Excerpt from CDC 2003 Table 1.pdf
Excerpt from CDC 2003 Table 1.pdf

Being an actuary is a highly regarded profession. In 2010, CareerCast ranked actuary as the number one job in the United States. This ranking was based on income, environment, stress, physical demands, and employment outlook. In 2024, U.S. News & World Report ranked the role as the third-best job in the business sector. It was also ranked as the eighth-best job in STEM. This highlights the growing importance of mathematical expertise in the global economy.

Excerpt from CDC 2003 Table 1.pdf
Excerpt from CDC 2003 Table 1.pdf

670 words
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Excerpt from CDC 2003 Table 1.pdf
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