Posts Tagged ‘Overview’

After-Tax Income: Overview and Calculations

Written by admin. Posted in A, Financial Terms Dictionary

After-Tax Income: Overview and Calculations

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What Is After-Tax Income?

After-tax income is the net income after the deduction of all federal, state, and withholding taxes. After-tax income, also called income after taxes, represents the amount of disposable income that a consumer or firm has available to spend.

Key Takeaways

  • After-tax income is gross income minus deductions of federal, state, and withholding taxes.
  • After-tax income is the disposable income that a consumer or firm has available to spend.
  • Computing after-tax income for businesses is relatively the same as for individuals, but instead of determining gross income, companies begin by defining total revenues.

Understanding After-Tax Income

Most individual tax filers use some version of the IRS Form 1040 to calculate their taxable income, income tax due, and after-tax income. To calculate after-tax income, the deductions are subtracted from gross income. The difference is the taxable income, on which income taxes are due. After-tax income is the difference between gross income and the income tax due. 

Consider the following example: Abi Sample earns $30,000 and claims $10,000 in deductions, resulting in a taxable income of $20,000. Their federal income tax rate is 15%, making the income tax due $3,000. The after-tax income is $27,000, or the difference between gross earnings and income tax ($30,000 – $3,000 = $27,000).

Individuals can also account for state and local taxes when calculating after-tax income. When doing this, sales tax and property taxes are also excluded from gross income. Continuing with the above example, Abi Sample pays $1,000 in state income tax and $500 in municipal income tax resulting in an after-tax income of $25,500 ($27,000 – $1500 = $25,500).

When analyzing or forecasting personal or corporate cash flows, it is essential to use an estimated after-tax net cash projection. This estimate is a more appropriate measure than pretax income or gross income because after-tax cash flows are what the entity has available for consumption.

Calculating After-Tax Income for Businesses

Computing after-tax income for businesses is relatively the same as for individuals. However, instead of determining gross income, enterprises begin by defining total revenues. Business expenses, as recorded on the income statement, are subtracted from total revenues producing the firm’s income. Finally, any other relevant deductions are subtracted to arrive at taxable income.

The difference between the total revenues and the business expenses and deductions is the taxable income, on which taxes will be due. The difference between the business’s income and the income tax due is the after-tax income.

After-Tax and Pretax Retirement Contributions

The terms after-tax and pretax income often refer to retirement contributions or other benefits. For example, if someone makes pretax contributions to a retirement account, those contributions are subtracted from their gross pay. After deductions are made to the gross salary amount, the employer will calculate payroll taxes.

Medicare contributions and Social Security payments are calculated on the difference after these deductions are taken from the gross salary amount. However, if the employee makes after-tax contributions to a retirement account, the employer applies taxes to the employee’s gross pay and then subtracts the retirement contributions from that amount.

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Anchoring in Investing: Overview and Examples

Written by admin. Posted in A, Financial Terms Dictionary

Anchoring in Investing: Overview and Examples

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What Is Anchoring?

Anchoring is a heuristic in behavioral finance that describes the subconscious use of irrelevant information, such as the purchase price of a security, as a fixed reference point (or anchor) for making subsequent decisions about that security. Thus, people are more likely to estimate the value of the same item higher if the suggested sticker price is $100 than if it is $50.

In sales, price, and wage negotiations, anchoring can be a powerful tool. Studies have shown that setting an anchor at the outset of a negotiation can have more effect on the final outcome than the intervening negotiation process. Setting a starting point that is deliberately too high can affect the range of all subsequent counteroffers.

Key Takeaways

  • Anchoring is a behavioral finance term to describe an irrational bias towards an arbitrary benchmark figure.
  • This benchmark then skews decision-making regarding a security by market participants, such as when to sell the investment.
  • Anchoring can be used to advantage in sales and price negotiations where setting an initial anchor can influence subsequent negotiations in your favor.

Understanding Anchoring

Anchoring is a cognitive bias in which the use of an arbitrary benchmark such as a purchase price or sticker price carries a disproportionately high weight in one’s decision-making process. The concept is part of the field of behavioral finance, which studies how emotions and other extraneous factors influence economic choices.

In the context of investing, one consequence of anchoring is that market participants with an anchoring bias tend to hold investments that have lost value because they have anchored their fair value estimate to the original price rather than to fundamentals. As a result, market participants assume greater risk by holding the investment in the hope the security will return to its purchase price.

Market participants are often aware that their anchor is imperfect and attempt to make adjustments to reflect subsequent information and analysis. However, these adjustments often produce outcomes that reflect the bias of the original anchors.

Anchoring is often paired with a heuristic known as adjusting, whereby the reference level or anchor is adjusted as conditions change and prices are re-evaluated.

Anchoring Bias

An anchoring bias can cause a financial market participant, such as a financial analyst or investor, to make an incorrect financial decision, such as buying an overvalued investment or selling an undervalued investment. Anchoring bias can be present anywhere in the financial decision-making process, from key forecast inputs, such as sales volumes and commodity prices, to final output like cash flow and security prices.

Historical values, such as acquisition prices or high-water marks, are common anchors. This holds for values necessary to accomplish a certain objective, such as achieving a target return or generating a particular amount of net proceeds. These values are unrelated to market pricing and cause market participants to reject rational decisions.

Anchoring can be present with relative metrics, such as valuation multiples. Market participants using a rule-of-thumb valuation multiple to evaluate securities prices demonstrate anchoring when they ignore evidence that one security has a greater potential for earnings growth.

Some anchors, such as absolute historical values and values necessary to accomplish an objective, can be harmful to investment objectives, and many analysts encourage investors to reject these types of anchors. Other anchors can be helpful as market participants deal with the complexity and uncertainty inherent in an environment of information overload. Market participants can counter anchoring bias by identifying the factors behind the anchor and replacing suppositions with quantifiable data.

Comprehensive research and assessment of factors affecting markets or a security’s price are necessary to eliminate anchoring bias from decision-making in the investment process.

Examples of Anchoring Bias

It is easy to find examples of anchoring bias in everyday life. Customers for a product or service are typically anchored to a sales price based on the price marked by a shop or suggested by a salesperson. Any further negotiation for the product is in relation to that figure, regardless of its actual cost.

Within the investing world, anchoring bias can take on several forms. For instance, traders are typically anchored to the price at which they bought a security. If a trader bought stock ABC for $100, then they will be psychologically fixated on that price for judging when to sell or make additional purchases of the same stock — regardless of ABC’s actual value based on an assessment of relevant factors or fundamentals affecting it.

In another case, analysts may become anchored to the value of a given index at a certain level instead of considering historical figures. For example, if the S&P 500 is on a bull run and has a value of 3,000, then analysts’ propensity will be to predict values closer to that figure rather than considering the standard deviation of values, which have a fairly wide range for that index.

Anchoring also appears frequently in sales negotiations.  A salesman can offer a very high price to start negotiations that is objectively well above fair value. Yet, because the high price is an anchor, the final selling price will also tend to be higher than if the salesman had offered a fair or low price to start. A similar technique may be applied in hiring negotiations when a hiring manager or prospective hire proposes an initial salary. Either party may then push the discussion to that starting point, hoping to reach an agreeable amount that was derived from the anchor.

How Do You Avoid Anchoring Bias?

Studies have shown that some factors can mitigate anchoring, but it is difficult to avoid altogether, even when people are made aware of the bias and deliberately try to avoid it. In experimental studies, telling people about anchoring and advising them to “consider the opposite” can reduce, but not eliminate, the effect of anchoring.

How Can I Use Anchoring to My Advantage?

If you are selling something or negotiating a salary, you can start with a higher price than you expect to get as it will set an anchor that will tend to pull the final price up. If you are buying something or a hiring manager, you would instead start with a lowball level to induce the anchoring effect lower.

What Is Anchoring and Adjustment?

The anchoring and adjustment heuristic describes cases in which an anchor is subsequently adjusted based on new information until an acceptable value is reached over time. Often, those adjustments, however, prove inadequate and remain too close to the original anchor, which is a problem when the anchor is very different from the true or fair value.

Correction—July 21, 2022: This article was updated to make clear a risk of anchoring resulting in buying overvalued assets or selling undervalued ones, not buying undervalued assets and selling overvalued ones.

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Adjusted Present Value (APV): Overview, Formula, and Example

Written by admin. Posted in A, Financial Terms Dictionary

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What Is Adjusted Present Value (APV)?

The adjusted present value is the net present value (NPV) of a project or company if financed solely by equity plus the present value (PV) of any financing benefits, which are the additional effects of debt. By taking into account financing benefits, APV includes tax shields such as those provided by deductible interest.

The Formula for APV Is


Adjusted Present Value = Unlevered Firm Value + NE where: NE = Net effect of debt \begin{aligned} &\text{Adjusted Present Value = Unlevered Firm Value + NE}\\ &\textbf{where:}\\ &\text{NE = Net effect of debt}\\ \end{aligned}
Adjusted Present Value = Unlevered Firm Value + NEwhere:NE = Net effect of debt

The net effect of debt includes tax benefits that are created when the interest on a company’s debt is tax-deductible. This benefit is calculated as the interest expense times the tax rate, and it only applies to one year of interest and tax. The present value of the interest tax shield is therefore calculated as: (tax rate * debt load * interest rate) / interest rate.

How to Calculate Adjusted Present Value (APV)

To determine the adjusted present value:

  1. Find the value of the un-levered firm.
  2. Calculate the net value of debt financing.
  3. Sum the value of the un-levered project or company and the net value of the debt financing.

How to Calculate APV in Excel

An investor can use Excel to build out a model to calculate the net present value of the firm and the present value of the debt.

What Does Adjusted Present Value Tell You?

The adjusted present value helps to show an investor the benefits of tax shields resulting from one or more tax deductions of interest payments or a subsidized loan at below-market rates. For leveraged transactions, APV is preferred. In particular, leveraged buyout situations are the most effective situations in which to use the adjusted present value methodology.

The value of a debt-financed project can be higher than just an equity-financed project, as the cost of capital falls when leverage is used. Using debt can actually turn a negative NPV project into one that’s positive. NPV uses the weighted average cost of capital as the discount rate, while APV uses the cost of equity as the discount rate.

Key Takeaways

  • APV is the NPV of a project or company if financed solely by equity plus the present value of financing benefits.
  • APV shows an investor the benefit of tax shields from tax-deductible interest payments.
  • It is best used for leverage transactions, such as leveraged buyouts, but is more of an academic calculation.

Example of How to Use Adjusted Present Value (APV)

In a financial projection where a base-case NPV is calculated, the sum of the present value of the interest tax shield is added to obtain the adjusted present value.

For example, assume a multi-year projection calculation finds that the present value of Company ABC’s free cash flow (FCF) plus terminal value is $100,000. The tax rate for the company is 30% and the interest rate is 7%. Its $50,000 debt load has an interest tax shield of $15,000, or ($50,000 * 30% * 7%) / 7%. Thus, the adjusted present value is $115,000, or $100,000 + $15,000.

The Difference Between APV and Discounted Cash Flow (DCF)

While the adjusted present value method is similar to the discounted cash flow (DCF) methodology, adjusted present cash flow does not capture taxes or other financing effects in a weighted average cost of capital (WACC) or other adjusted discount rates. Unlike WACC used in discounted cash flow, the adjusted present value seeks to value the effects of the cost of equity and cost of debt separately. The adjusted present value isn’t as prevalent as the discounted cash flow method.

Limitations of Using Adjusted Present Value (APV)

In practice, the adjusted present value is not used as much as the discounted cash flow method. It is more of an academic calculation but is often considered to result in more accurate valuations.

Learn More About Adjusted Present Value (APV)

To dig deeper into calculating the adjusted present value, check out Investopedia’s guide to calculating net present value.

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