Posts Tagged ‘dollar’

Ability-to-Pay Taxation: Definition and Examples

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Ability-to-Pay Taxation: Definition and Examples

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What Is Ability-To-Pay Taxation?

The ability-to-pay philosophy of taxation maintains that taxes should be levied according to a taxpayer’s ability to pay. The idea is that people, businesses, and corporations with higher incomes can and should pay more in taxes. 

Key Takeaways

  • The ability-to-pay principle holds that those who have a greater ability to pay taxes—measured by income and wealth—should pay more.
  • One idea behind “ability to pay” is that those who have enjoyed success should be willing to give back a little more to the society that helped make that success possible.
  • Proponents of “ability to pay” argue that a single dollar ultimately means less to a rich person than a wage earner, so the rich should pay more to equalize their sacrifice.

Understanding the Ability-To-Pay Principle

Ability-to-pay taxation argues that those who earn higher incomes should pay a greater percentage of those incomes in taxes compared with those who earn less. For example, in 2020 individuals in the United States with taxable income less than $9,875 faced a 10% income tax rate, while those with taxable income of more than $518,000 faced a rate of 37%, the nation’s top individual rate. Earnings between those amounts face tax rates as set by income brackets.

The idea underlying ability-to-pay taxation is that everyone should make an equal sacrifice in paying taxes, and because people with more money effectively have less use for a given dollar, paying more of them in taxes does not impose a greater burden. Think of it this way: To a person with earns $1 million a year, $10,000 will make very little difference in their life, while it will make a big difference to a person earning only $60,000 a year.

History of Ability-to-Pay Taxation

The idea of a progressive income tax—that is, that people with the ability to pay more should pay a higher percentage of their income—is centuries old. In fact, it was espoused by none other than Adam Smith, considered the father of economics, in 1776.

Smith wrote: “The subjects of every state ought to contribute toward the support of the government, as near as possible, in proportion to their respective abilities; that is in proportion to the revenue which they respectively enjoy under the protection of the state.”

Arguments for Progressive Taxation

Advocates of ability-to-pay taxation argue that those who have benefitted most from the nation’s way of life in the form of higher incomes and greater wealth can afford and should be obligated to give back a little more to keep the system running.

The argument is that the society that government tax revenue has helped build—infrastructure such as highways and fiberoptic communications networks, a strong military, public schools, a free market system—provide the environment in which their success is possible and in which they can continue to enjoy that success.

Criticism of Ability-to-Pay Taxation

Critics of progressive taxation argue that it is fundamentally unfair. They say it penalizes hard work and success and reduces the incentive to make more money. Many argue that everyone should pay the same income-tax rate—a “flat tax”—to make the system more equitable.

Progressive Taxation and Inequality

While the U.S. still maintains a progressive tax system, tax rates for the rich have plummeted over the past several decades. When President Ronald Reagan took office in 1981, the highest income tax bracket for individuals was 70%. In 2020, the top rate for incomes is 37%. Meanwhile, inequality has reached levels not seen in at least a century. The top 1% now holds more wealth than the bottom 90%.

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Annuity Table

Written by admin. Posted in A, Financial Terms Dictionary

Annuity Table

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What Is an Annuity Table?

An annuity table is a tool for determining the present value of an annuity or other structured series of payments. Such a tool, used by accountants, actuaries, and other insurance personnel, takes into account how much money has been placed into an annuity and how long it has been there to determine how much money would be due to an annuity buyer or annuitant.

Figuring the present value of any future amount of an annuity may also be performed using a financial calculator or software built for such a purpose.

Key Takeaways

  • An annuity table is a tool used to determine the present value of an annuity.
  • An annuity table calculates the present value of an annuity using a formula that applies a discount rate to future payments.
  • An annuity table uses the discount rate and number of period for payment to give you an appropriate factor.
  • Using an annuity table, you will multiply the dollar amount of your recurring payment by the given factor.

How an Annuity Table Works

An annuity table provides a factor, based on time, and a discount rate (interest rate) by which an annuity payment can be multiplied to determine its present value. For example, an annuity table could be used to calculate the present value of an annuity that paid $10,000 a year for 15 years if the interest rate is expected to be 3%.

According to the concept of the time value of money, receiving a lump sum payment in the present is worth more than receiving the same sum in the future. As such, having $10,000 today is better than being given $1,000 per year for the next 10 years because the sum could be invested and earn interest over that decade. At the end of the 10-year period, the $10,000 lump sum would be worth more than the sum of the annual payments, even if invested at the same interest rate.

Annuity Table and the Present Value of an Annuity

Present Value of an Annuity Formulas

The formula for the present value of an ordinary annuity, as opposed to an annuity due, is as follows:


P = PMT × 1 ( 1 + r ) n r where: P = Present value of an annuity stream PMT = Dollar amount of each annuity payment r = Interest rate (also known as the discount rate) \begin{aligned}&\text{P} =\text{PMT}\times\frac{ 1 – (1 + r) ^ -n}{r}\\&\textbf{where:}\\&\text{P} = \text{Present value of an annuity stream}\\&\text{PMT} =\text{Dollar amount of each annuity payment}\\&r = \text{Interest rate (also known as the discount rate)}\\&n = \text{Number of periods in which payments will be made}\end{aligned}
P=PMT×r1(1+r)nwhere:P=Present value of an annuity streamPMT=Dollar amount of each annuity paymentr=Interest rate (also known as the discount rate)

Assume an individual has an opportunity to receive an annuity that pays $50,000 per year for the next 25 years, with a discount rate of 6%, or a lump sum payment of $650,000. He needs to determine the more rational option. Using the above formula, the present value of this annuity is:


PVA = $ 5 0 , 0 0 0 × 1 ( 1 + 0 . 0 6 ) 2 5 0 . 0 6 = $ 6 3 9 , 1 6 8 where: \begin{aligned}&\text{PVA} = \$50,000 \times \frac{1 – (1 + 0.06) ^ -25}{0.06} = \$639,168\\&\textbf{where:}\\&\text{PVA}=\text{Present value of annuity}\end{aligned}
PVA=$50,000×0.061(1+0.06)25=$639,168where:

Given this information, the annuity is worth $10,832 less on a time-adjusted basis, and the individual should choose the lump sum payment over the annuity.

Note, this formula is for an ordinary annuity where payments are made at the end of the period in question. In the above example, each $50,000 payment would occur at the end of the year, each year, for 25 years. With an annuity due, the payments are made at the beginning of the period in question. To find the value of an annuity due, simply multiply the above formula by a factor of (1 + r):


P = PMT × ( 1 ( 1 + r ) n r ) × ( 1 + r ) \begin{aligned}&\text{P} = \text{PMT} \times\left(\frac{1 – (1 + r) ^ -n}{r}\right) \times (1 + r)\end{aligned}
P=PMT×(r1(1+r)n)×(1+r)

If the above example of an annuity due, its value would be:


P = $ 5 0 , 0 0 0 \begin{aligned}&\text{P}= \$50,000\\&\quad \times\left( \frac{1 – (1 + 0.06) ^ -25}{0.06}\right)\times (1 + 0.06) = \$677,518\end{aligned}
P=$50,000

In this case, the individual should choose the annuity due, because it is worth $27,518 more than the lump sum payment.

Present Value of an Annuity Table

Rather than working through the formulas above, you could alternatively use an annuity table. An annuity table simplifies the math by automatically giving you a factor for the second half of the formula above. For example, the present value of an ordinary annuity table would give you one number (referred to as a factor) that is pre-calculated for the (1 – (1 + r) ^ – n) / r) portion of the formula.

The factor is determined by the interest rate (r in the formula) and the number of periods in which payments will be made (n in the formula). In an annuity table, the number of periods is commonly depicted down the left column. The interest rate is commonly depicted across the top row. Simply select the correct interest rate and number of periods to find your factor in the intersecting cell. That factor is then multiplied by the dollar amount of the annuity payment to arrive at the present value of the ordinary annuity.

Below is an example of a present value of an ordinary annuity table:

n 1% 2% 3% 4% 5% 6%
1 0.9901 0.9804 0.9709 0.9615 0.9524 0.9434
2 1.9704 1.9416 1.9135 1.8861 1.8594 1.8334
3 2.9410 2.8839 2.8286 2.7751 2.7233 2.6730
4 3.9020 3.8077 3.7171 3.6299 3.5460 3.4651
5 4.8534 4.7135 4.5797 4.4518 4.3295 4.2124
10 9.4713 8.9826 8.5302 8.1109 7.7217 7.3601
15 13.8651 12.8493 11.9380 11.1184 10.3797 9.7123
20 18.0456 16.3514 14.8775 13.5903 12.4622 11.4699
25 22.0232 19.5235 17.4132 15.6221 14.0939 12.7834

If we take the example above with a 6% interest rate and a 25 year period, you will find the factor = 12.7834. If you multiply this 12.7834 factor from the annuity table by the $50,000 payment amount, you will get $639,170, almost the same as the $639,168 result in the formula highlighted in the previous section. The slight difference in the figures reflects the fact that the 12,7834 number in the annuity table is rounded.

There is a separate table for the present value of an annuity due, and it will give you the correct factor based on the second formula.

What Is an Annuity Table Used For?

An annuity table is a tool used mostly by accounting, insurance or other financial professionals to determine the present value of an annuity. It takes into account the amount of money that has been placed in the annuity and how long it’s been sitting there, so as to decide the amount of money that should be paid out to an annuity buyer or annuitant.

What Is the Difference Between an Ordinary Annuity and an Annuity Due?

An ordinary annuity generates payments at the end of the annuity period, while an annuity due is an annuity with the payment expected or paid at the start of the payment period.

Can a Lottery Winner Use an Annuity Table?

A lottery winner could use an annuity table to determine whether it makes more financial sense to take his lottery winnings as a lump-sum payment today or as a series of payments over many years. However, Lottery winnings are a rare form of an annuity. More commonly, annuities are a type of investment used to provide individuals with a steady income in retirement.

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Accrued Liabilities: Overview, Types, and Examples

Written by admin. Posted in A, Financial Terms Dictionary

Accrued Liabilities: Overview, Types, and Examples

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What Is Accrued Liability?

The term “accrued liability” refers to an expense incurred but not yet paid for by a business. These are costs for goods and services already delivered to a company for which it must pay in the future. A company can accrue liabilities for any number of obligations and are recorded on the company’s balance sheet. They are normally listed on the balance sheet as current liabilities and are adjusted at the end of an accounting period.

Key Takeaways

  • An accrued liability occurs when a business has incurred an expense but has not yet paid it out.
  • Accrued liabilities arise due to events that occur during the normal course of business.
  • These liabilities or expenses only exist when using an accrual method of accounting.
  • Accounting for accrued liabilities requires a debit to an expense account and a credit to the accrued liability account, which is then reversed upon payment with a credit to the cash or expense account and a debit to the accrued liability account.
  • Examples of accrued liabilities can include payroll and payroll taxes.

What Is Accrued Liability?

Understanding Accrued Liability

An accrued liability is a financial obligation that a company incurs during a given accounting period. Although the goods and services may already be delivered, the company has not yet paid for them in that period. They are also not recorded in the company’s general ledger. Although the cash flow has yet to occur, the company must still pay for the benefit received.

Accrued liabilities, which are also called accrued expenses, only exist when using an accrual method of accounting. The concept of an accrued liability relates to timing and the matching principle. Under accrual accounting, all expenses are to be recorded in financial statements in the period in which they are incurred, which may differ from the period in which they are paid.

The expenses are recorded in the same period when related revenues are reported to provide financial statement users with accurate information regarding the costs required to generate revenue.

The cash basis or cash method is an alternative way to record expenses. But it doesn’t accrue liabilities. Accrued liabilities are entered into the financial records during one period and are typically reversed in the next when paid. This allows for the actual expense to be recorded at the accurate dollar amount when payment is made in full.

Accrued liabilities only exist when using an accrual method of accounting.

Types of Accrued Liabilities

There are two types of accrued liabilities that companies must account for, including routine and recurring. We’ve listed some of the most important details about each below.

Routine Accrued Liabilities

This kind of accrued liability is also referred to as a recurring liability. As such, these expenses normally occur as part of a company’s day-to-day operations. For instance, accrued interest payable to a creditor for a financial obligation, such as a loan, is considered a routine or recurring liability. The company may be charged interest but won’t pay for it until the next accounting period.

Non-Routine Accrued Liabilities

Non-routine accrued liabilities are expenses that don’t occur regularly. This is why they’re also called infrequent accrued liabilities. They aren’t part of a company’s normal operating activities. A non-routine liability may, therefore, be an unexpected expense that a company may be billed for but won’t have to pay until the next accounting period.

Journal Entry for an Accrued Liability

Accounting for an accrued liability requires a journal entry. An accountant usually marks a debit and a credit to their expense accounts and accrued liability accounts respectively.

This is then reversed when the next accounting period begins and the payment is made. The accounting department debits the accrued liability account and credits the expense account, which reverses out the original transaction.

When Do Accrued Liabilities Occur?

Accrued liabilities arise for a number of reasons or when events occur during the normal course of business. For instance:

  • A company that purchases goods or services on a deferred payment plan accrues liabilities because the obligation to pay in the future exists.
  • Employees may perform work for which they haven’t received wages.
  • Interest on loans may be accrued if interest fees were incurred since the previous loan payment.
  • Taxes owed to governments may be accrued because they are not due until the next tax reporting period.

At the end of a calendar year, employee salaries and benefits must be recorded in the appropriate year, regardless of when the pay period ends and when paychecks are distributed. For example, a two-week pay period may extend from December 25 to January 7.

Although they aren’t distributed until January, there is still one full week of expenses for December. The salaries, benefits, and taxes incurred from Dec. 25 to Dec. 31 are deemed accrued liabilities. These expenses are debited to reflect an increase in the expenses. Meanwhile, various liabilities will be credited to report the increase in obligations at the end of the year.

Payroll taxes, including Social Security, Medicare, and federal unemployment taxes are liabilities that can be accrued periodically in preparation for payment before the taxes are due.

Accrued Liability vs. Accounts Payable (AP)

Accrued liabilities and accounts payable (AP) are both types of liabilities that companies need to pay. But there is a difference between the two. Accrued liabilities are for expenses that have not yet been billed, either because they are a regular expense that doesn’t require a bill (i.e., payroll) or because the company hasn’t yet received a bill from the vendor (i.e., a utility bill).

As such, accounts payable (or payables) are generally short-term obligations and must be paid within a certain amount of time. Creditors send invoices or bills, which are documented by the receiving company’s AP department. The department then issues the payment for the total amount by the due date. Paying off these expenses during the specified time helps companies avoid default.

Examples of Accrued Liability

As noted above, companies can accrue liabilities for many different reasons. As such, there are many different kinds of expenses that fall under this category. The following are some of the most common examples:

  • Wage expenses: This is for work already performed by employees. The work is paid for in the next accounting period. This is common with employers who pay their employees bi-weekly, because a pay period may extend into the following accounting month or year.
  • Goods and services: Some companies place orders and receive goods and services from their suppliers without paying for them immediately. As an accrued expense, the receiving company pays for these goods and services at a later date.
  • Interest: A company may have an outstanding loan for which the interest isn’t yet due. The lender may require this expense.

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Auditor’s Report: Necessary Components and Examples

Written by admin. Posted in A, Financial Terms Dictionary

Appraisal: Definition, How It Works, and Types of Appraisals

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What Is Audit Risk?

Audit risk is the risk that financial statements are materially incorrect, even though the audit opinion states that the financial reports are free of any material misstatements.

Key Takeaways

  • Audit risk is the risk that financial statements are materially incorrect, even though the audit opinion states that the financial reports are free of any material misstatements.
  • Audit risk may carry legal liability for a certified public accountancy (CPA) firm performing audit work.
  • Auditing firms carry malpractice insurance to manage audit risk and the potential legal liability.
  • The two components of audit risk are risk of material misstatement and detection risk.

Understanding Audit Risk

The purpose of an audit is to reduce the audit risk to an appropriately low level through adequate testing and sufficient evidence. Because creditors, investors, and other stakeholders rely on the financial statements, audit risk may carry legal liability for a certified public accountancy (CPA) firm performing audit work.

Over the course of an audit, an auditor makes inquiries and performs tests on the general ledger and supporting documentation. If any errors are caught during the testing, the auditor requests that management propose correcting journal entries.

At the conclusion of an audit, after any corrections are posted, an auditor provides a written opinion as to whether the financial statements are free of material misstatement. Auditing firms carry malpractice insurance to manage audit risk and the potential legal liability.

Types of Audit Risk

The two components of audit risk are the risk of material misstatement and detection risk. Assume, for example, that a large sporting goods store needs an audit performed, and that a CPA firm is assessing the risk of auditing the store’s inventory.

Risk of Material Misstatement

Material misstatement risk is the risk that the financial reports are materially incorrect before the audit is performed. In this case, the word “material” refers to a dollar amount that is large enough to change the opinion of a financial statement reader, and the percentage or dollar amount is subjective. If the sporting goods store’s inventory balance of $1 million is incorrect by $100,000, a stakeholder reading the financial statements may consider that a material amount. The risk of material misstatement is even higher if there is believed to be insufficient internal controls, which is also a fraud risk.

Detection Risk

Detection risk is the risk that the auditor’s procedures do not detect a material misstatement. For example, an auditor needs to perform a physical count of inventory and compare the results to the accounting records. This work is performed to prove the existence of inventory. If the auditor’s test sample for the inventory count is insufficient to extrapolate out to the entire inventory, the detection risk is higher.

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