What Is Actuarial Science?

Actuarial science is a discipline that assesses financial risks in the insurance and finance fields, using mathematical and statistical methods. Actuarial science applies the mathematics of probability and statistics to define, analyze, and solve the financial implications of uncertain future events. Traditional actuarial science largely revolves around the analysis of mortality and the production of life tables, and the application of compound interest.

Understanding Actuarial Science

Actuarial science attempts to quantify the risk of an event occurring using probability analysis so that its financial impact can be determined. Actuarial science is typically used in the insurance industry by actuaries. Actuaries analyze mathematical models to predict or forecast the reasonableness of an event occurring so that an insurance company can allocate funds to pay out any claims that might result from the event. For example, studying mortality rates of individuals of a certain age would help insurance companies understand the likelihood or timeframe of paying out a life insurance policy.

Actuarial science became a formal mathematical discipline in the late 17th century with the increased demand for long-term insurance coverage. Actuarial science spans several interrelated subjects, including mathematics, probability theory, statistics, finance, economics, and computer science. Historically, actuarial science used deterministic models in the construction of tables and premiums. In the last 30 years, science has undergone revolutionary changes due to the proliferation of high-speed computers and the union of stochastic actuarial models with modern financial theory.

Applications of Actuarial Science

Life insurance and pension plans are the two main applications of actuarial science. However, actuarial science is also applied in the study of financial organizations to analyze their liabilities and improve financial decision-making. Actuaries employ this specialty science to evaluate the financial, economic, and other business applications of future events.

Insurance

In traditional life insurance, actuarial science focuses on the analysis of mortality, the production of life tables, and the application of compound interest, which is the accumulated interest from previous periods plus the interest on the principal investment. As a result, actuarial science can help develop policies for financial products such as annuities, which are investments that pay a fixed income stream. Actuarial science is also used to determine the various financial outcomes for investable assets held by non-profit corporations as a result of endowments. 

In health insurance, including employer-provided plans and social insurance, actuarial science includes analyzing rates of

• Disability in the population or the risk of a certain group of people becoming disabled
• Morbidity or the frequency and the extent to which a disease occurs in a population
• Mortality or mortality rate, which measures the number of deaths in a population that result from a specific disease or event
• Fertility or fertility rate, which measures the number of children born

For example, disability rates are determined for veterans that may have been wounded in the line of duty. Certain percentages are assigned to the extent of the disability to determine the payout from disability insurance.

Actuarial science is also applied to property, casualty, liability, and general insurance–instances in which coverage is generally provided on a renewable period, (such as yearly). Coverage can be canceled at the end of the period by either party.

Pensions

In the pension industry, actuarial science compares the costs of alternative strategies with regard to the design, funding, accounting, administration, and maintenance or redesign of pension plans. A pension plan is a defined-benefit plan, which is a type of retirement plan involving contributions from the employer to be set aside and paid out to the employees upon retirement.

Short-term and long-term bond rates greatly influence pension plans and their investment strategies. Bonds are debt instruments issued by governments and corporations that typically pay a periodic interest rate. For example, in a low-interest-rate environment, a pension plan might have difficulty earning income from the bonds that it has invested in, which increases the probability that the pension plan could run out of money.

Other factors impacting a pension plan’s viability include benefit arrangements, collective bargaining, the employer’s competitors, and changing demographics of the workforce. Tax laws and the policies of the Internal Revenue Service (IRS) regarding the calculation of pension surpluses also impact the finances of a pension plan. Additionally, economic conditions and trends in the financial markets can impact the probability of a pension plan remaining funded.

Universities and Professional Certifications

According to the Bureau of Labor Statistics, the number of actuaries employed is expected to grow 21% from 2021 to 2031. For this reason, many universities offer educational degrees and courses on actuarial science. In addition, there are professional designations for those interested in pursuing the field.

Universities

The Society of Actuaries identifies and reports colleges that meet one of three levels of recognition:

• UCAP-Introduction Curriculum: Universities that maintain course requirements for two professional actuarial exams in addition to having met other approved course requirements.
• UCAP-Advanced Curriculum: Universities that maintain course requirements for four professional exams in addition to having met other approved course requirements.
• Center of Actuarial Excellence: Universities that maintain eight specific requirements in connection with a variety of matters. This is the highest tier of competency identified by the SOA for a university.

As of December 2022, there are roughly 25 Center of Actuarial Excellence schools across the United States, Canda, Australia, Singapore, the United Kingdom, and China. Within the U.S., these schools include but are not limited to Brigham Young, Georgia State, Purdue, Connecticut, and Michigan.

Professional Designations and Credentials

There are a number of different professional designations an actuary can pursue to further gain credibility and proficiency in their field. The Casualty Actuarial Society offers the Associate (ACAS) and Fellow (FCAS) membership levels, each of the two with escalating requirements. For example, the ACAS credential can be achieved after passing six exams, while the FCAS is earned after nine exams. Areas of focus for the FCAS exam include:

• Probability
• Financial Mathematics
• Financial Economics
• Modern Actuarial Statistics
• Basic Techniques for Ratemaking and Estimating Claim Liabilities
• Regulation & Financial Reporting
• Policy Liabilities, Insurance Company Valuation, and Enterprise Risk Management
• Advanced Ratemaking

The Society of Actuaries promotes several different actuarial exams to demonstrate competency in the field.

• An Associate of the Society of Actuaries (ASA) demonstrates knowledge of fundamental concepts of modeling and managing risk. The examination requirements are changing as of Spring 2023, and the list of required examinations includes topics on predictive analysis, economics, probabilities, and financial markets.
• A Chartered Enterprise Risk Analyst (CERA) specializes in having knowledge in identifying, measuring, and managing risk in risk-bearing enterprises. Similar to the ASA requirements, the CERA requirements include a professional course covering code of conduct.
• A Fellow of the Society of Actuaries (FSA) demonstrates knowledge of financial decisions involving pensions, life insurance, health insurance, and investments. FSAs also must demonstrate in-depth knowledge and the application of appropriate techniques to these various areas.

The Bottom Line

Actuarial science is the study of mathematically predicting the probability of something happening in the future and assigning that outcome a financial value. Companies, pension funds, and insurance agencies rely on actuaries to develop models to assess areas of risk and devise policies to mitigate potential future challenges.

What Is an Appropriation?

Appropriation is when money is set aside for a specific purpose. A company or a government appropriates funds in order to delegate cash for the necessities of its operations. Appropriations for the U.S. federal government are decided by Congress through various committees. A company might appropriate money for short-term or long-term needs that include employee salaries, research and development, and dividends.

What Does an Appropriation Tell You?

Appropriations tell us how money or capital is being allocated whether it’s through the federal government’s budget or a company’s use of cash and capital. Appropriations by governments are made for federal funds each year for various programs. Appropriations for companies may also be known as capital allocation.

Appropriation could also refer to setting apart land or buildings for public use such as for public buildings or parks. Appropriation can also refer to when the government claims private property through eminent domain.

Federal Appropriations

In the United States, appropriations bills for the federal government’s spending are passed by U.S. Congress. The government’s fiscal year runs from October 1 through September 30 of each calendar year.

Each fiscal year, the U.S. President submits a budget proposal to Congress. Budget committees in the U.S. House and Senate, then determine how the discretionary portion of the budget will be spent through a budget resolution process. The process yields an allocation of an amount of money that is assigned to the various appropriations committees. The House and Senate appropriations committees divide the money up between the various subcommittees that represent the departments that’ll receive the money. Some of the departments include the following:

• Department of Agriculture
• Department of Defense
• Department of Energy
• Department of Commerce
• Department of Labor
• Department of Transportation

Federal programs such as Social Security and Medicare fall under the mandatory expenditures category and receive funding through an automatic formula rather than through the appropriations process.

Congress also passes supplemental appropriations bills for instances when special funding is needed for natural disasters and other emergencies. For example, in December 2014, Congress approved the Consolidated and Further Continuing Appropriations Act, 2015. The act approved $5.2 billion to fight the Ebola virus in West Africa and for domestic emergency responses to the disease. The act also allocated funding for controlling the virus and developing treatments for the disease.

Appropriations in Business

Corporate appropriations refer to how a company allocates its funds and can include share buybacks, dividends, paying down debt, and purchases of fixed assets. Fixed assets are property, plant, and equipment. In short, how a company allocates capital spending is important to investors and the long-term growth prospects of the company.

How a company appropriates money or invests its cash is monitored closely by market participants. Investors watch to determine whether a company is using its cash effectively to build shareholder value or whether the company is engaged in frivolous use of its cash, which can lead to the destruction of shareholder value.

Monitoring Corporate Appropriations

Investors monitor corporate appropriations of cash by analyzing a company’s cash flow statement. The cash flow statement (CFS) measures how well a company manages its cash position, meaning how well the company generates cash to pay its debt obligations and fund its operating expenses. The cash flow of a company is divided into three activities or behavior:

1. Operating activities on the cash flow statement include any sources and uses of cash from business activities such as cash generated from a company’s products or services.
2. Investing activities include any sources and uses of cash from a company’s investments such as a purchase or sale of an asset.
3. Cash from financing activities includes the sources of cash from investors or banks, as well as the uses of cash paid to shareholders. The payment of dividends, the payments for stock repurchases, and the repayment of debt principal (loans) are included in this category.

Example of Company Appropriations

Below is the cash flow statement for Exxon Mobil Corporation (XOM) from Sept 30, 2018, as reported in its 10Q filing. The cash flow statement shows how the executive management of Exxon appropriated the company’s cash and profits:

• Under the investing activities section (highlighted in red), $13.48 billion was allocated to purchase fixed assets or property, plant, and equipment.
• Under the financing activities section (highlighted in green), cash was allocated to pay down short-term debt in the amount of $4.279 billion.
• Also under financing activities, dividends were paid to shareholders (highlighted in blue), which totaled $10.296 billion.

Whether Exxon’s use of cash is effective or not is up to investors and analysts to debate since evaluating the process of appropriating cash is highly subjective. Some investors might want more money allocated to dividends while other investors might want Exxon to allocate money towards investing in the future of the company by purchasing and upgrading equipment.

Appropriations vs. Appropriated Retained Earnings

Appropriated retained earnings are retained earnings (RE) that are specified by the board of directors for a particular use. Retained earnings are the amount of profit left over after a company has paid out dividends. Retained earnings accumulate over time similar to a savings account whereby the funds are used at a later date.

Appropriated retained earnings can be used for many purposes, including acquisitions, debt reduction, stock buybacks, and R&D. There may be more than one appropriated retained earnings accounts simultaneously. Typically, appropriated retained earnings are used only to indicate to outsiders the intention of management to use the funds for some purpose. Appropriation is the use of cash by a company showing how money is allocated and appropriated retained earnings outlines the specific use of that cash by the board of directors.

Limitations of an Appropriation

For investors, the cash flow statement reflects a company’s financial health since typically the more cash that’s available for business operations, the better. However, there are limitations to analyzing how money is spent. An investor won’t know if the purchase of a fixed asset, for example, is a good decision until the company begins to generate revenue from the asset.

As a result, the investor can only infer whether the management is effectively deploying or appropriating its funds properly. Sometimes a negative cash flow results from a company’s growth strategy in the form of expanding its operations.

By studying how a company allocates its spending and uses its cash, an investor can get a clear picture of how much cash a company generates and gain a solid understanding of the financial well being of a company.

What Is an Asset Management Company (AMC)?

An asset management company (AMC) is a firm that invests pooled funds from clients, putting the capital to work through different investments including stocks, bonds, real estate, master limited partnerships, and more. Along with high-net-worth individual (HNWI) portfolios, AMCs manage hedge funds and pension plans, and—to better serve smaller investors—create pooled structures such as mutual funds, index funds, or exchange-traded funds (ETFs), which they can manage in a single centralized portfolio.

AMCs are colloquially referred to as money managers or money management firms. Those that offer public mutual funds or ETFs are also known as investment companies or mutual fund companies. Such businesses include Vanguard Group, Fidelity Investments, T. Rowe Price, and many others.

AMCs are generally distinguished by their assets under management (AUM)—the amount of assets that they manage.

Understanding Asset Management Companies (AMCs)

Because they have a larger pool of resources than the individual investor could access on their own, AMCs provide investors with more diversification and investing options. Buying for so many clients allows AMCs to practice economies of scale, often getting a price discount on their purchases.

Pooling assets and paying out proportional returns also allows investors to avoid the minimum investment requirements often required when purchasing securities on their own, as well as the ability to invest in a larger assortment of securities with a smaller amount of investment funds.

AMC Fees

In most cases, AMCs charge a fee that is calculated as a percentage of the client’s total AUM. This asset management fee is a defined annual percentage that is calculated and paid monthly. For example, if an AMC charges a 1% annual fee, it would charge $100,000 in annual fees to manage a portfolio worth $10 million. However, since portfolio values fluctuate on a daily and monthly basis, the management fee calculated and paid every month will fluctuate monthly as well.

Continuing with the above example, if the $10 million portfolio increases to $12 million in the next year, the AMC will stand to make an additional $20,000 in management fees. Conversely, if the $10 million portfolio declines to $8 million due to a market correction, the AMC’s fee would be reduced by $20,000. Thus, charging fees as a percentage of AUM serves to align the AMC’s interests with that of the client; if the AMC’s clients prosper, so does the AMC, but if the clients’ portfolios make losses, the AMC’s revenues will decline as well.

Most AMCs set a minimum annual fee such as $5,000 or $10,000 in order to focus on clients that have a portfolio size of at least $500,000 or $1 million. In addition, some specialized AMCs such as hedge funds may charge performance fees for generating returns above a set level or that beat a benchmark. The “two and twenty” fee model is standard in the hedge fund industry.

Buy Side

Typically, AMCs are considered buy-side firms. This status means they help their clients make investment decisions based on proprietary in-house research and data analytics, while also using security recommendations from sell-side firms.

Sell-side firms such as investment banks and stockbrokers, in contrast, sell investment services to AMCs and other investors. They perform a great deal of market analysis, looking at trends and creating projections. Their objective is to generate trade orders on which they can charge transaction fees or commissions.

Asset Management Companies (AMCs) vs. Brokerage Houses

Brokerage houses and AMCs overlap in many ways. Along with trading securities and doing analysis, many brokers advise and manage client portfolios, often through a special “private investment” or “wealth management” division or subsidiary. Many also offer proprietary mutual funds. Their brokers may also act as advisors to clients, discussing financial goals, recommending products, and assisting clients in other ways.

In general, though, brokerage houses accept nearly any client, regardless of the amount they have to invest, and these companies have a legal standard to provide “suitable” services. Suitable essentially means that as long as they make their best effort to manage the funds wisely, and in line with their clients’ stated goals, they are not responsible if their clients lose money.

In contrast, most asset management firms are fiduciary firms, held to a higher legal standard. Essentially, fiduciaries must act in the best interest of their clients, avoiding conflicts of interest at all times. If they fail to do so, they face criminal liability. They’re held to this higher standard in large part because money managers usually have discretionary trading powers over accounts. That is, they can buy, sell, and make investment decisions on their authority, without consulting the client first. In contrast, brokers must ask permission before executing trades.

AMCs usually execute their trades through a designated broker. That brokerage also acts as the designated custodian that holds or houses an investor’s account. AMCs also tend to have higher minimum investment thresholds than brokerages do, and they charge fees rather than commissions.

Example of an Asset Management Company (AMC)

As mentioned earlier, purveyors of popular mutual fund families are technically AMCs. Also, many high-profile banks and brokerages have asset management divisions, usually for HNWI or institutions.

There are also private AMCs that are not household names but are quite established in the investment field. One such example is RMB Capital, an independent investment and advisory firm with approximately $10 billion in AUM. Headquartered in Chicago, with 10 other offices around the U.S., and roughly 142 employees, RMB has different divisions, including:

1. RMB Wealth Management for wealthy retail investors
2. RMB Asset Management for institutional investors
3. RMB Retirement Solutions, which handles retirement plans for employers

The firm also has a subsidiary, RMB Funds, that manages six mutual funds.

What Is an Average Collection Period?

Average collection period refers to the amount of time it takes for a business to receive payments owed by its clients in terms of accounts receivable (AR). Companies use the average collection period to make sure they have enough cash on hand to meet their financial obligations. The average collection period is an indicator of the effectiveness of a firm’s AR management practices and is an important metric for companies that rely heavily on receivables for their cash flows.

How Average Collection Periods Work

Accounts receivable is a business term used to describe money that entities owe to a company when they purchase goods and/or services. Companies normally make these sales to their customers on credit. AR is listed on corporations’ balance sheets as current assets and measures their liquidity. As such, they indicate their ability to pay off their short-term debts without the need to rely on additional cash flows.

The average collection period is an accounting metric used to represent the average number of days between a credit sale date and the date when the purchaser remits payment. A company’s average collection period is indicative of the effectiveness of its AR management practices. Businesses must be able to manage their average collection period to operate smoothly.

A lower average collection period is generally more favorable than a higher one. A low average collection period indicates that the organization collects payments faster. However, this may mean that the company’s credit terms are too strict. Customers who don’t find their creditors’ terms very friendly may choose to seek suppliers or service providers with more lenient payment terms.

Formula for Average Collection Period

Average collection period is calculated by dividing a company’s average accounts receivable balance by its net credit sales for a specific period, then multiplying the quotient by 365 days.

Average Collection Period = 365 Days * (Average Accounts Receivables / Net Credit Sales)

Alternatively and more commonly, the average collection period is denoted as the number of days of a period divided by the receivables turnover ratio. The formula below is also used referred to as the days sales receivable ratio.

Average Collection Period = 365 Days / Receivables Turnover Ratio

The average receivables turnover is simply the average accounts receivable balance divided by net credit sales; the formula below is simply a more concise way of writing the formula.

Average Accounts Receivables

For the formulas above, average accounts receivable is calculated by taking the average of the beginning and ending balances of a given period. More sophisticated accounting reporting tools may be able to automate a company’s average accounts receivable over a given period by factoring in daily ending balances.

When analyzing average collection period, be mindful of the seasonality of the accounts receivable balances. For example, analyzing a peak month to a slow month by result in a very inconsistent average accounts receivable balance that may skew the calculated amount.

Net Credit Sales

Average collection period also relies on net credit sales for a period. This metric should exclude cash sales (as those are not made on credit and therefore do not have a collection period).

In addition to being limited to only credit sales, net credit sales exclude residual transactions that impact and often reduce sales amounts. This includes any discounts awarded to customers, product recalls or returns, or items re-issued under warranty.

Importance of Average Collection Period

Average collection period boils down to a single number; however, it has many different uses and communicates a variety of important information.

• It tells how efficiently debts are collected. This is important because a credit sale is not fully completed until the company has been paid. Until cash has been collected, a company is yet to reap the full benefit of the transaction.
• It tells how strict credit terms are. This is important as strict credit terms may scare clients away; on the other hand, credit terms that are too loose may attract customers looking to take advantage of lenient payment terms.
• It tells how competitors are performing. This is important because all figures needed to calculate the average collection period are available for public companies. This gives deeper insight into what other companies are doing and how a company’s operations compare.
• It tells early signals of bad allowances. This is important because as the average collection period increases, more clients are taking longer to pay. This metric can be used to signal to management to review its outstanding receivables at risk of being uncollected to ensure clients are being monitored and communicated with.
• It tells of a company’s short-term financial health. This is important because without cash collections, a company will go insolvent and lack the liquidity to pay its short-term bills.

How to Use Average Collection Period

The average collection period does not hold much value as a stand-alone figure. Instead, you can get more out of its value by using it as a comparative tool.

The best way that a company can benefit is by consistently calculating its average collection period and using it over time to search for trends within its own business. The average collection period may also be used to compare one company with its competitors, either individually or grouped together. Similar companies should produce similar financial metrics, so the average collection period can be used as a benchmark against another company’s performance.

Companies may also compare the average collection period with the credit terms extended to customers. For example, an average collection period of 25 days isn’t as concerning if invoices are issued with a net 30 due date. However, an ongoing evaluation of the outstanding collection period directly affects the organization’s cash flows.

Example of Average Collection Period

As noted above, the average collection period is calculated by dividing the average balance of AR by total net credit sales for the period, then multiplying the quotient by the number of days in the period.

Let’s say a company has an average AR balance for the year of $10,000. The total net sales that the company recorded during this period was $100,000. We would use the following average collection period formula to calculate the period:

($10,000 ÷ $100,000) × 365 = Average Collection Period

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The average collection period, therefore, would be 36.5 days. This is not a bad figure, considering most companies collect within 30 days. Collecting its receivables in a relatively short and reasonable period of time gives the company time to pay off its obligations.

If this company’s average collection period was longer—say, more than 60 days— then it would need to adopt a more aggressive collection policy to shorten that time frame. Otherwise, it may find itself falling short when it comes to paying its own debts.

Accounts Receivable (AR) Turnover

The average collection period is closely related to the accounts turnover ratio, which is calculated by dividing total net sales by the average AR balance.

Using the previous example, the AR turnover is 10 ($100,000 ÷ $10,000). The average collection period can also be calculated by dividing the number of days in the period by the AR turnover. In this example, the average collection period is the same as before: 36.5 days.

365 days ÷ 10 = Average Collection Period

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Collections by Industries

Not all businesses deal with credit and cash in the same way. Although cash on hand is important to every business, some rely more on their cash flow than others.

For example, the banking sector relies heavily on receivables because of the loans and mortgages that it offers to consumers. As it relies on income generated from these products, banks must have a short turnaround time for receivables. If they have lax collection procedures and policies in place, then income would drop, causing financial harm.

Real estate and construction companies also rely on steady cash flows to pay for labor, services, and supplies. These industries don’t necessarily generate income as readily as banks, so it’s important that those working in these industries bill at appropriate intervals, as sales and construction take time and may be subject to delays.

The Bottom Line

The average collection period is the average number of days it takes for a credit sale to be collected. During this period, the company is awarding its customer a very short-term “loan”; the sooner the client can collect the loan, the earlier it will have the capital to use to grow its company or pay its invoices. While a shorter average collection period is often better, too strict of credit terms may scare customers away.